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Get UpdatesTS ECET 2024 - Osmania University issued the TS ECET 2024 hall ticket on May 1. The authority has activated the Telangana ECET admit card download link on the website, ecet.tsche.ac.in. TS ECET 2024 form correction facility was available from April 24 to 28. The last date to apply for the TS ECET 2024 exam with a late fee was April 28. Osmania University will conduct the TS ECET 2024 exam on May 6, 2024.
Latest: TS ECET Hall Ticket 2024 OUT| TS ECET sample papers
Also See: Top engineering entrance exams preparation
Don't Miss: Engineering colleges accepting TS ECET score
The TS ECET 2024 registration process concluded without a late fee on April 16. Diploma holders are eligible to apply for the Telangana State ECET exam. Aspirants can check the TS ECET exam date 2024 on the official website. To prepare for the entrance exam follow the TS ECET syllabus and exam pattern.
The authorities have released a detailed notification for TS ECET 2024 at the official website, ecet.tsche.ac.in. Candidates seeking admission into the BTech / BPharm courses offered at engineering colleges in Telangana through the lateral entry mode have to appear for the TS ECET 2024 exam. Candidates who qualify the TS ECET exam 2024 will be eligible to participate in the counselling process of TS ECET.
Candidates can check the TS ECET latest updates below:
February 11: The authority has announced the registration dates for TS ECET 2024. The authority will commence the TS ECET 2024 registration process on February 15, 2024.
Osmania University will conduct the TS ECET on behalf of TSCHE. TS ECET 2024 is the standard entrance exam for Diploma and BSc in Mathematics for admission to programs including Bachelor of Technology, Engineering, and Pharmacy in Telangana.
To be eligible for the TS ECET 2024, applicants should have a Diploma in Engineering and Technology or any other equivalent to it, or candidates should have passed 3-year B.Sc. Degree examination with Mathematics as one of the subjects in the group combination from a recognized University in the Telangana/Andhra Pradesh state. According to TS ECET 2024 eligibility criteria, candidates must pass the qualifying exam with at least 45% marks while reserved category candidates have to secure 40% marks. Read more to know about the eligibility criteria, application process, admit card, result and more.
| Full Exam Name | Telangana State Engineering Common Entrance Test |
| Short Exam Name | TS ECET |
| Conducting Body | Osmania University |
| Frequency of Conduct | Once a year |
| Exam Level | State Level Exam |
| Languages | English |
| Mode of Application | Online |
| Application Fee (General) | 900 Rs [Online] |
| Mode of Exam | Online |
| Mode of Counselling | Online |
| Participating Colleges | 1 |
| TS ECET Chemical Engineering - Duration | 3 Hours +10 More |
Upcoming Dates and Events
01 May, 2024 - 06 May, 2024
Admit Card | Mode: Online Ongoing
06 May, 2024
Exam | Mode: Online
Past Dates and Events
23 Apr, 2024 - 28 Apr, 2024
Application - Last date for online submission with late fee 1000 | Mode: Online
24 Apr, 2024 - 28 Apr, 2024
Application Correction | Mode: Online
17 Apr, 2024 - 22 Apr, 2024
Application - Last date for online submission with late fee 500 | Mode: Online
15 Feb, 2024 - 16 Apr, 2024
Application | Mode: Online
Osmania University has released the TS ECET 2024 eligibility criteria online. Candidates need to check the information booklet to know the eligibility criteria of TS ECET 2024. The qualifying examination, age limit, marks required, nationality, and more required to apply for TS ECET 2024 will be included in the eligibility criteria. Below are the TS ECET eligibility criteria in detail for candidates' reference:
Nationality- Indian
Candidates must belong to the State of Telangana/Andhra Pradesh.
Qualifying Examination- Candidates should have a Diploma in Engineering and Technology or any other equivalent it recognized by the State Board of Technical Education of Telangana State /Andhra Pradesh. If not, candidates should have passed a 3-year B.Sc. Degree examination with Mathematics as one of the subjects in the group combination from a recognized University in the Telangana/Andhra Pradesh state.
Candidates pursuing a Diploma course under sandwich pattern will be eligible for TS ECET 2024. However, such candidates will have to complete their practical training for the sandwich course before the conclusion of counselling.
Mode of Application : Online
Mode of Payment : Net Banking | Credit Card | Debit Card
The authority concluded the TS ECET 2024 application form correction process on April 28. Moreover, the last date to submit the application form with a late fee was April 28. Candidates who fulfil the minimum eligibility conditions were able to apply for TS ECET 2024. The application process comprises of registration, application fee payment, and form filling. No application will be entertained after the TS ECET application form last date. To fill TS ECET 2024 application form candidates can follow given below steps:
Receipt from TS/AP online centre
Details of credit/debit card, net banking for payment of application fee
Marks Memo/Hall Ticket number of Diploma/B.Sc (Maths)
Birth/SSC or equivalent certificate
Income certificate
Caste certificate (if applicable)
Local candidate certificate
Candidates can follow the steps mentioned below to fill the TS ECET application form.
Step 1- Payment of Application Fee- Before filling out the TS ECET 2024 application fee, candidates are required to pay the requisite application in online mode.
To pay the fee, the following option will be available:
Payment by visiting TS/AP Online Centres- Candidates first have to enter details like the candidate’s name, father's name, date of birth, mobile number, hall ticket of the qualifying examination, category and stream they are applying for. Once done, candidates will receive a receipt form of registration fee payment containing a transaction ID.
Fee Payment using Credit/Debit card or Net Banking- In this mode, candidates have to simply use their credit/ debit card details to pay the fees. Once done, the payment reference ID will be displayed on the screen.
Step 2- Know Payment Status- After the payment is done, candidates will have to check the payment status by logging to their account using the qualifying exam hall ticket number and mobile number.
Step 3- Fill Application Form- In this step, candidates will have to enter personal, academic, and contact information. Along with this candidates also have to upload scanned images of their photograph & signature in the prescribed format. Also, candidates have to select the examination centre in order of their preference.
Step 4- Submit & Take a Print of Application Form- In this step, candidates have to submit the filled-in application form and take a print of it for future reference.
| Category | Quota | Mode | Gender | Amount |
|---|---|---|---|---|
| General, OBC | Online | Transgender, Male, Female | ₹ 900 | |
| SC, ST | Online | Transgender, Male, Female | ₹ 500 | |
| EWS, General, ST, OBC, SC | PWD | Online | Transgender, Male, Female | ₹ 500 |
Matrices |
|---|
| Definition of matrix, types of matrices, algebra of matrices, transpose of a matrix, symmetric, skew symmetric matrices, minor, cofactor of an element, determinant of a square matrix, properties, Laplace‘s expansion, singular and nonsingular matrices |
| Adjoint and multiplicative inverse of a square matrix, system of linear equations in 3 variables, solutions by Crammer‘s rule, matrix inversion method, Gauss-Jordan method |
| Partial fractions: Resolving a given rational function into partial fractions |
| Logarithms: Definition of logarithm and its properties, meaning of ‘e’ exponential function and logarithmic function |
Trigonometry |
|---|
| Properties of trigonometric functions-ratios of compound angles, multiple angles, submultiple angles,transformations of products into sum or difference and vice versa, simple trigonometric equations,properties of triangles, inverse trigonometric functions |
| Hyperbolic functions |
| Complex numbers: Properties of modulus, amplitude and conjugate of complex numbers, arithmetic operations on complex numbers, modulus, amplitude form (polar form), Euler form (exponential form), properties |
Analytical geometry |
|---|
| Straight lines, different forms of straight lines, distance of a point from a line, acute angle between two lines, intersection of two non-parallel lines and distance between two parallel lines |
| Circles-equation of circle given center and radius, given ends of diameter, general equation, finding center and radius, center and a point on the circumference, 3 non-collinear points, center and tangent |
| Equation of tangent and normal at a point on the circle |
Differentiation and its application |
|---|
| Functions and limits, standard limits, differentiation from the first principle, differentiation of sum, product, quotient of functions, function of function, trigonometric, inverse trigonometric, exponential, logarithmic, hyperbolic functions, |
| Implicit, explicit and parametric functions, derivative of a function with respect to another function, second order derivatives, geometrical applications of the derivative (angle between curves, tangent and normal)-increasing and decreasing functions |
| Maxima and minima (single variable functions) using second order derivative only, partial differentiation, partial derivatives up to second order, Euler‘s theorem |
Integration and its applications |
|---|
| Indefinite integral, standard forms-integration by decomposition of the integrand, integration of trigonometric, algebraic, exponential, logarithmic and hyperbolic functions, integration by substitution |
| Integration of reducible and irreducible quadratic factors, integration by parts, definite integrals and properties, definite integral as the limit of a sum, application of integration to find areas under plane curves and volumes of solids of revolution |
| Mean and RMS values, trapezoidal rule and Simpson’s 1/3 rule for approximation integrals |
Differential equations |
|---|
| Definition of a differential equation, order and degree of a differential equation, formation of differential equations, solution of differential equation of the type first order, first degree, variable-separable, homogeneous equations, exact |
| Linear differential equation of the form dy/ dx+Py=Q, Bernoulli‘s equation |
| nth order linear differential equation with constant coefficients both homogeneous and non-homogeneous and finding the particular integrals for the functions eᵃˣ, sin ax, cos ax, xᵐ (a polynomial of m-th degree m=1, 2) |
Laplace transforms |
|---|
| Laplace transforms (LT) of elementary functions-linearity property, first shifting property, change of scale property multiplication and division by t-LT of derivatives and integrals, unit step function, LT of unit step function, second shifting property |
| Evaluation of improper integrals, inverse Laplace transform (ILT), shifting theorem, change of scale property, multiplication and division by s, ILT by using partial fractions and convolution theorem |
| Applications of LT to solve ordinary differential equations up to second order only |
Fourier series |
|---|
| Define Fourier series, Euler’s formulae over the interval (C, C+2π) for determining the Fourier coefficients |
| Fourier series of simple functions in (0, 2π) and (–π, π) |
| Fourier series for even and odd functions in the interval (–π, π) |
Units and dimensions |
|---|
| Physical quantity, fundamental and derived physical quantities, units, fundamental and derived units, SI units, multiples and sub-multiples in SI units, advantages of SI units, dimensions and dimensional formulae for physical quantities |
| Dimensionless quantities, principle of homogeneity in dimensions, applications and limitations of dimensional analysis |
Modern physics |
|---|
| Photo electric effect, explanation and its laws-applications of photo electric effect (photocell), Einstein’s photoelectric equation, critical angle and total internal reflection, optical fibers-principle, working, types and applications |
| Concept of super conductivity, examples for super conducting materials and applications |
Heat and thermodynamics |
|---|
| Boyle‘s law, absolute scale of temperature, Charles laws, ideal gas equation, universal gas constant and its value, SI units, problems, isothermal process, adiabatic process, first law and second law of thermodynamics, two specific heats of a gas |
| Relation between Cp and Cv-problems |
Elements of vectors |
|---|
| Scalar and vector quantities, examples, types of vectors, addition and subtraction of vectors, triangle law, parallelogram law, expression for magnitude direction in case of parallelogram law, polygon law, resolution of a vector, unit vectors (i,j,k) |
| Dot product and cross product of two vectors, characteristics of dot and cross products-examples, problems |
Kinematics |
|---|
| Equations of motion, acceleration due to gravity, equations of motion under gravity, projectile motion-examples, horizontal and oblique projections, expression for path of projectile in case of oblique projection, expressions for maximum height |
| Time of ascent, time of flight, horizontal range in case of oblique projections-problems |
Friction |
|---|
| Friction, causes and types of friction, normal reaction, laws of friction, coefficients of friction, angle of friction, methods to reduce friction, advantages and disadvantages of friction |
| Expression for acceleration of a body over a rough horizontal surface, expressions for displacement and time taken to come to rest over a rough horizontal surface-problems |
Work, power, and energy |
|---|
| Work, power, and energy-definitions and units, potential and kinetic energies, examples and expressions, work-energy theorem, relation between kinetic energy and momentum, law of conservation of energy in case of freely falling body-problems |
Simple harmonic motion |
|---|
| Definition, conditions of SHM, examples of SHM, expressions for displacement, velocity, acceleration, time period, frequency and phase of SHM, expression for time period of a simple pendulum, laws of simple pendulum, seconds pendulum, problems |
Sound |
|---|
| Sound, longitudinal wave and transverse wave, musical sound and noise, noise pollution, effects and methods to control noise pollution, beats and echo’s and their applications, Doppler effect-explanation, and applications, reverberation time |
| Sabine’s formula, characteristics of a good auditorium-problems |
Properties of matter |
|---|
| Define terms-elasticity, plasticity-stress and strain, units, Hooke’s law-definition of surface tension, examples-explanation on the basis of molecular theory-angle of contact, capillarity and examples-formula for surface tension based on capillarity |
| Viscosity and examples, Newton’s formula for viscosity, Poiseulle’s equation for coefficient for viscosity, effect of temperature on viscosity of liquids and gases-problems |
Electricity and magnetism |
|---|
| Ohm’s law, specific resistance, conductance and their units, state and explain Kirchhoff's laws, expression for balancing condition of Wheat stone’s bridge, concept of meter bridge, Coulomb’s inverse square law in magnetism, magnetic field |
| Magnetic lines of force, magnetic induction field strength and units, moment of couple acting on a bar magnet placed in uniform magnetic field problem |
Fundamentals of chemistry |
|---|
| Atomic structure: Introduction, fundamental particles of an atom, Bohr‘s theory, quantum numbers, Aufbau’s principle, Hund‘s rule, Pauli‘s exclusion principle, electronic configurations of elements up to atomic number 30, shapes of s, p, d orbitals |
| Chemical Bonding: Introduction, types of chemical bonds, ionic bond-NaCl and MgO, characteristics of ionic compounds, covalent bond-H, O, N, characteristics of covalent compounds, coordinate covalent bond-definitions and examples, [NH+], [NHBF] |
| Oxidation-reductions: Electronic concept of oxidation and reduction, oxidation number and its calculations-differences between oxidation number and valency |
Solutions |
|---|
| Introduction, definition of solution, solute and solvent, classification of solutions based on physical state, mole concept, molecular weight, equivalent weight of acids, bases, and salts, molarity, normality and numerical problems |
Acids and bases |
|---|
| Introduction, theories of acids and bases, Arrhenius theory, Bronsted-Lowry theory, Lewis theory, ionic product of water, pH and related numerical problems pertaining to strong acids and bases, definition of buffer, types of buffer |
| Acidic buffer (acetate buffer), basic buffer (ammonia buffer)-applications |
Principles of metallurgy |
|---|
| Characteristics of metals and distinction between metals and non-metals |
| Definitions of metallurgy, ore, gangue, flux, slag, concentration of ore by froth floatation process-roasting, calcination, smelting, alloys, composition and uses of brass, German silver and nichrome |
Electrochemistry |
|---|
| Conductors, metallic and electrolytic conductors, insulators, electrolytes (strong and weak), Arrhenius theory of electrolytic dissociation, electrolysis of fused NaCl, Faraday‘s laws of electrolysis, numerical problems, Galvanic cell |
| Electrode potential, standard electrode potential, electro chemical series, EMF and numerical problems on EMF of a cell |
Corrosion |
|---|
| Introduction, definition of corrosion, factors influencing rate of corrosion, electrochemical theory of corrosion, composition cell, stress cell and concentration cell, rusting of iron and its mechanism |
| Prevention of corrosion by-(a) protective coatings, (b) cathodic protection (sacrificial anode method and impressed voltage method) |
Water technology |
|---|
| Introduction, soft and hard water, causes of hardness, types of hardness, disadvantages of hard water, degree of hardness, units and numerical problems, softening methods, permutit process, ion exchange process, characteristics of drinking water |
| Municipal treatment of water for drinking purpose, osmosis and reverse osmosis, advantages of reverse osmosis |
Polymers |
|---|
| Introduction, polymerization, types of polymerization-addition, condensation polymerization with examples, plastics, types of plastics, advantages of plastics over traditional materials, disadvantages of using plastics |
| Thermo plastics and thermo setting plastics, differences between thermo plastics and thermo stetting plastics, preparation and uses of the following plastics: (i) Polythene, (ii) PVC, (iii) teflon, (iv) polystyrene, (v) urea formaldehyde |
| Preparation and uses of the following plastics: (vi) Bakelite, rubber, natural rubber, processing of rubber from latex, vulcanization, elastomers, butyl rubber, Buna-s, neoprene rubber and their uses |
Fuels |
|---|
| Definition and classification of fuels based on physical state and occurrence, characteristics of good fuel, composition and uses of gaseous fuels-(a) water gas, (b) producer gas, (c) natural gas, (d) coal gas, (e) bio gas, (f) acetylene |
Environmental chemistry |
|---|
| Introduction, environment, lithosphere, hydrosphere, atmosphere biosphere, biotic component, energy component pollutant, receptor, sink, particulate, DO, BOD, threshold limit value, COD-air pollution-causes, effects, forest resources |
| Uses and over exploitation, deforestation, acid rain, green house effect, ozone depletion, control of air pollution, water pollution-causes, effects, control measures, renewable and non renewable energy sources, concept of ecosystem, producers |
| Consumers and decomposers, biodiversity, threats to biodiversity |
Material technology |
|---|
| Mechanical properties of metals and testing of materials, thermal equilibrium diagram, production of iron, plain carbon steels, alloy steels, non ferrous metals and their alloys-aluminium, copper, nickel, lead, tin, zinc, miscellaneous materials-glass |
| Miscellaneous materials-carbon, graphite, rubber, elastomers-glass fibers, nano materials, corrosion-causes, types, methods of prevention |
Mass and energy balance |
|---|
| Determination of molarity, molality and normality, analysis of solids, liquids, and gases on dry and wet basis, Daltons law, ideal gas, equation of state, vapor pressure, material balances with and without chemical reactions |
| Material balance problems related to evaporation, distillation, drying and mixing, bypass and recycle streams, limiting component, excess reactant, percentage conversion and yield and degree of completion, law of conservation of energy |
| Heat of reaction, heat of formation and heat of combustion, related problems, gross and net calorific values, theoretical air and excess air calculations, proximate and ultimate analysis |
Organic chemical technology |
|---|
| Coal chemicals, coking of coal, coal tar distillation, carbonization, petroleum refining, atmospheric distillation and vacuum distillation, fluid catalytic cracking, catalytic reforming, petrochemicals from methane and ethylene, pulp and paper industry |
| Kraft process-oils, fats and soaps, sugar and fermentation, synthetic fibres, rubber industries |
Inorganic chemical technology |
|---|
| Water-sources, impurities, treatment, dissolved solids, ion exchange process and reverse osmosis (RO) process, manufacture of chemicals like soda ash, ammonia, urea, nitric acid, sulphuric acid, phosphoric acid |
| Super phosphate and industrial gases (O, N, H, CO and acetylene), paints, pigments and varnishes, graphite and silicon carbide and cement |
| Glass, calcium carbide, NPK fertilizers |
Fluid mechanics |
|---|
| Flow of incompressible fluids, Newtonian and non-Newtonian fluids, pressure, viscosity, laminar, turbulent flow, mass and momentum balance, Bernoulli‘s theorem, friction losses, friction factor-pressure drop, flow meters |
| Different types of pumps for transportation of fluids, centrifugal pump, displacement pump, reciprocating pump, flow past immersed bodies, packed bed and fluidized bed, fluidization |
Heat transfer |
|---|
| Conduction-mechanisms of heat flow, Fourier‘s law, thermal conductivity, steady state conduction, compound resistances in series, heat flow through a cylinder-related problems |
| Convection-heat flow in fluids, rate of heat transfer, counter current and parallel flows, overall heat transfer coefficient, LMTD, fouling factors, Nusselt number, Prandtl number |
| Heat transfer to fluids with and without phase change |
| Dropwise and filmwise condensation, heat transfer to boiling liquids, radiation, emission of radiation, laws of black body radiation, radiation between surfaces, Stefans law, view factor, heat exchange equipment, types of heat exchange equipment |
| Evaporation-types of evaporators, evaporator economy, boiling point elevation, single and multiple effect evaporators-related problems |
Mechanical unit operations |
|---|
| Size reduction methods, laws of size reduction, crushers and grinders |
| Different types of equipments for mixing liquids, viscous masses, dry powders, differential and cumulative screen analysis, screen effectiveness, average particle size, storage of solids, conveyers, mechanical separations-screening, froth floatation |
| Electrostatic precipitator, scrubber, cyclone separators, filtration, filtration equipment, sedimentation |
Thermodynamics and reaction engineering |
|---|
| Basic units of thermodynamics, state and path functions, first law of thermodynamics, PVT relationships for gases, ideal gas, isobaric, isochoric, iso-thermal and adiabatic processes, cubic equations of state, second law of thermodynamics |
| Carnot cycle, entropy, refrigeration and liquefaction, chemical reaction equilibria, determination of equilibrium constant and conversion, temperature effect on reactions, Gibbs free energy, chemical kinetics, classification of reactions |
| Order and molecularity, working of batch, tubular and stirred tank reactors, catalysis, types of catalysts, industrial reactors, space time, space velocity |
Mass transfer |
|---|
| Principles of diffusion, Ficks law of diffusion, molecular diffusion, Eddy diffusion, diffusion in gases, inter phase mass transfer, two resistance theory, wet bulb and dry bulb temperature, distillation, simple, steam and continuous distillation |
| Rayleigh’s equation reflux ratio, McCabe Thiele method, bubble cab and sieve tray columns, absorption, tower packing, channeling, loading and flooding, adsorption, adsorbents, humidification, extraction and leaching, drying, drying rate curves |
| Time of drying, equipment for drying, crystallization-equipment |
Instrumentation and process control |
|---|
| Static and dynamic characteristics of an instrument, step input, linear input, sinusoidal input, measurement of temperature, pressure, vacuum, liquid levels, viscosity, density and composition, thermocouples |
| Types of pressure gauges and vacuum gauges for distillation column, evaporator, reactor and extractor |
| Process instrumentation and Instrumentation diagrams, process control, components of pneumatic system, hydraulic system, different types of controllers, P, PI, PD and PID Controllers |
Environmental studies and pollution control engineering |
|---|
| Scope and importance of environmental studies, effect of human being on environment and vice-versa, biodiversity, water pollution, types, classification, treatment methods-air pollution, control methods-gaseous and particulate emission control |
| Solid waste management, sources, classification, disposal methods-pollution control in sugar, fertilizer, paper and petroleum industries, legal aspects of pollution control |
Energy technology |
|---|
| Classification of energy sources, types and analysis of solid, liquid, and gaseous fuels, propellant-combustion principles of fuels, refractories and furnaces-blast furnace, LD converter |
| Nonconventional energy sources (nuclear energy, solar energy, wind energy, bioenergy-geothermal energy-hydel-tidal energy), energy conservation |
Matrices |
|---|
| Definition of matrix, types of matrices, algebra of matrices, transpose of a matrix, symmetric, skew symmetric matrices, minor, cofactor of an element, determinant of a square matrix, properties, Laplace‘s expansion, singular and nonsingular matrices |
| Adjoint and multiplicative inverse of a square matrix, system of linear equations in 3 variables, solutions by Crammer‘s rule, matrix inversion method, Gauss-Jordan method |
| Partial fractions: Resolving a given rational function into partial fractions |
| Logarithms: Definition of logarithm and its properties, meaning of ‘e’ exponential function and logarithmic function |
Trigonometry |
|---|
| Properties of trigonometric functions-ratios of compound angles, multiple angles, submultiple angles,transformations of products into sum or difference and vice versa, simple trigonometric equations,properties of triangles, inverse trigonometric functions |
| Hyperbolic functions |
| Complex numbers: Properties of modulus, amplitude and conjugate of complex numbers, arithmetic operations on complex numbers, modulus, amplitude form (polar form), Euler form (exponential form), properties |
Analytical geometry |
|---|
| Straight lines, different forms of straight lines, distance of a point from a line, acute angle between two lines, intersection of two non-parallel lines and distance between two parallel lines |
| Circles-equation of circle given center and radius, given ends of diameter, general equation, finding center and radius, center and a point on the circumference, 3 non-collinear points, center and tangent |
| Equation of tangent and normal at a point on the circle |
Differentiation and its application |
|---|
| Functions and limits, standard limits, differentiation from the first principle, differentiation of sum, product, quotient of functions, function of function, trigonometric, inverse trigonometric, exponential, logarithmic, hyperbolic functions, |
| Implicit, explicit and parametric functions, derivative of a function with respect to another function, second order derivatives, geometrical applications of the derivative (angle between curves, tangent and normal)-increasing and decreasing functions |
| Maxima and minima (single variable functions) using second order derivative only, partial differentiation, partial derivatives up to second order, Euler‘s theorem |
Integration and its applications |
|---|
| Indefinite integral, standard forms-integration by decomposition of the integrand, integration of trigonometric, algebraic, exponential, logarithmic and hyperbolic functions, integration by substitution |
| Integration of reducible and irreducible quadratic factors, integration by parts, definite integrals and properties, definite integral as the limit of a sum, application of integration to find areas under plane curves and volumes of solids of revolution |
| Mean and RMS values, trapezoidal rule and Simpson’s 1/3 rule for approximation integrals |
Differential equations |
|---|
| Definition of a differential equation, order and degree of a differential equation, formation of differential equations, solution of differential equation of the type first order, first degree, variable-separable, homogeneous equations, exact |
| Linear differential equation of the form dy/ dx+Py=Q, Bernoulli‘s equation |
| nth order linear differential equation with constant coefficients both homogeneous and non-homogeneous and finding the particular integrals for the functions eᵃˣ, sin ax, cos ax, xᵐ (a polynomial of m-th degree m=1, 2) |
Laplace transforms |
|---|
| Laplace transforms (LT) of elementary functions-linearity property, first shifting property, change of scale property multiplication and division by t-LT of derivatives and integrals, unit step function, LT of unit step function, second shifting property |
| Evaluation of improper integrals, inverse Laplace transform (ILT), shifting theorem, change of scale property, multiplication and division by s, ILT by using partial fractions and convolution theorem |
| Applications of LT to solve ordinary differential equations up to second order only |
Fourier series |
|---|
| Define Fourier series, Euler’s formulae over the interval (C, C+2π) for determining the Fourier coefficients |
| Fourier series of simple functions in (0, 2π) and (–π, π) |
| Fourier series for even and odd functions in the interval (–π, π) |
Units and dimensions |
|---|
| Physical quantity, fundamental and derived physical quantities, units, fundamental and derived units, SI units, multiples and sub-multiples in SI units, advantages of SI units, dimensions and dimensional formulae for physical quantities |
| Dimensionless quantities, principle of homogeneity in dimensions, applications and limitations of dimensional analysis |
Modern physics |
|---|
| Photo electric effect, explanation and its laws, applications of photo electric effect (photocell), Einstein’s photoelectric equation, critical angle and total internal reflection, optical fibers, principle, working, types and applications |
| Concept of super conductivity, examples for super conducting materials and applications |
Heat and thermodynamics |
|---|
| Boyle‘s law, absolute scale of temperature, Charles laws, ideal gas equation, universal gas constant and its value, SI units-problems, isothermal process, adiabatic process, first law and second law of thermodynamics, two specific heats of a gas |
| Relation between Cp and Cv-problems |
Elements of vectors |
|---|
| Scalar and vector quantities-examples, types of vectors, addition and subtraction of vectors, triangle law, parallelogram law, expression for magnitude direction in case of parallelogram law, polygon law, resolution of a vector, unit vectors (i,j,k) |
| Dot product and cross product of two vectors, characteristics of dot and cross products-examples, problems |
Kinematics |
|---|
| Equations of motion, acceleration due to gravity, equations of motion under gravity, projectile motion-examples, horizontal and oblique projections, expression for path of projectile in case of oblique projection, expressions for maximum height |
| Time of ascent, time of flight, horizontal range in case of oblique projections-problems |
Friction |
|---|
| Friction, causes and types of friction, normal reaction, laws of friction, coefficients of friction, angle of friction, methods to reduce friction, advantages and disadvantages of friction |
| Expression for acceleration of a body over a rough horizontal surface, expressions for displacement and time taken to come to rest over a rough horizontal surface-problems |
Work, power, and energy |
|---|
| Work, power, and energy-definitions and units, potential and kinetic energies-examples and expressions, work-energy theorem, relation between kinetic energy and momentum, law of conservation of energy in case of freely falling body-problems |
Simple harmonic motion |
|---|
| Definition, conditions of SHM, examples of SHM, expressions for displacement, velocity, acceleration, time period, frequency and phase of SHM, expression for time period of a simple pendulum, laws of simple pendulum, seconds pendulum-problems |
Sound |
|---|
| Sound, longitudinal wave and transverse wave, musical sound and noise, noise pollution, effects and methods to control noise pollution, beats and echo’s and their applications, Doppler effect-explanation and applications, reverberation time |
| Sabine’s formula, characteristics of a good auditorium-problems |
Properties of matter |
|---|
| Define terms-elasticity, plasticity-stress and strain, units, Hooke’s law, definition of surface tension, examples, explanation on the basis of molecular theory, angle of contact, capillarity and examples, formula for surface tension based on capillarity |
| Viscosity and examples, Newton’s formula for viscosity, Poiseulle’s equation for coefficient for viscosity, effect of temperature on viscosity of liquids and gases-problems |
Electricity and magnetism |
|---|
| Ohm’s law, specific resistance, conductance and their units, state and explain Kirchhoff's laws, expression for balancing condition of Wheat stone’s bridge, concept of meter bridge, Coulomb’s inverse square law in magnetism, magnetic field |
| Magnetic lines of force, magnetic induction field strength and units, moment of couple acting on a bar magnet placed in uniform magnetic field problem |
Fundamentals of chemistry |
|---|
| Atomic structure: Introduction, fundamental particles of an atom, Bohr‘s theory, quantum numbers, Aufbau’s principle, Hund‘s rule, Pauli‘s exclusion principle, electronic configurations of elements up to atomic number 30, shapes of s, p, d orbitals |
| Chemical Bonding: Introduction, types of chemical bonds, ionic bond-NaCl and MgO, characteristics of ionic compounds, covalent bond-H, O, N, characteristics of covalent compounds, coordinate covalent bond-definitions and examples, [NH+], [NHBF] |
| Oxidation-reductions: Electronic concept of oxidation and reduction, oxidation number and its calculations-differences between oxidation number and valency |
Solutions |
|---|
| Introduction, definition of solution, solute and solvent, classification of solutions based on physical state, mole concept, molecular weight, equivalent weight of acids, bases, and salts, molarity, normality and numerical problems |
Acids and bases |
|---|
| Introduction, theories of acids and bases, Arrhenius theory, Bronsted-Lowry theory, Lewis theory, ionic product of water, pH and related numerical problems pertaining to strong acids and bases, definition of buffer, types of buffer |
| Acidic buffer (acetate buffer), basic buffer (ammonia buffer)-applications |
Principles of metallurgy |
|---|
| Characteristics of metals and distinction between metals and non-metals |
| Definitions of metallurgy, ore, gangue, flux, slag, concentration of ore by froth floatation process-roasting, calcination, smelting, alloys, composition and uses of brass, German silver and nichrome |
Electrochemistry |
|---|
| Conductors, metallic and electrolytic conductors, insulators, electrolytes (strong and weak), Arrhenius theory of electrolytic dissociation, electrolysis of fused NaCl, Faraday‘s laws of electrolysis, numerical problems, Galvanic cell |
| Electrode potential, standard electrode potential, electro chemical series, EMF and numerical problems on EMF of a cell |
Corrosion |
|---|
| Introduction, definition of corrosion, factors influencing rate of corrosion, electrochemical theory of corrosion, composition cell, stress cell and concentration cell, rusting of iron and its mechanism |
| Prevention of corrosion by-(a) protective coatings, (b) cathodic protection (sacrificial anode method and impressed voltage method) |
Water technology |
|---|
| Introduction, soft and hard water, causes of hardness, types of hardness, disadvantages of hard water, degree of hardness, units and numerical problems, softening methods, permutit process, ion exchange process, characteristics of drinking water |
| Municipal treatment of water for drinking purpose, osmosis and reverse osmosis, advantages of reverse osmosis |
Polymers |
|---|
| Introduction, polymerization, types of polymerization-addition, condensation polymerization with examples, plastics, types of plastics, advantages of plastics over traditional materials, disadvantages of using plastics |
| Thermo plastics and thermo setting plastics, differences between thermo plastics and thermo stetting plastics, preparation and uses of the following plastics: (i) Polythene, (ii) PVC, (iii) teflon, (iv) polystyrene, (v) urea formaldehyde |
| Preparation and uses of the following plastics: (vi) Bakelite, rubber, natural rubber, processing of rubber from latex, vulcanization, elastomers, butyl rubber, Buna-s, neoprene rubber and their uses |
Fuels |
|---|
| Definition and classification of fuels based on physical state and occurrence, characteristics of good fuel, composition and uses of gaseous fuels-(a) water gas, (b) producer gas, (c) natural gas, (d) coal gas, (e) bio gas, (f) acetylene |
Environmental chemistry |
|---|
| Introduction, environment, lithosphere, hydrosphere, atmosphere biosphere, biotic component, energy component pollutant, receptor, sink, particulate, DO, BOD, threshold limit value, COD-air pollution-causes, effects, forest resources |
| Uses and over exploitation, deforestation, acid rain, green house effect, ozone depletion, control of air pollution, water pollution-causes, effects, control measures, renewable and non renewable energy sources, concept of ecosystem, producers |
| Consumers and decomposers, biodiversity, threats to biodiversity |
Engineering mechanics |
|---|
| Forces and moments, vectors and scalars, resultant forces at a point, types of supports, types of loading |
| Centroid, rectangle, triangle, parallelogram, circle, semicircle, trapezium |
| Location of centroid of T, L, I, channel, Z sections |
| Built up sections |
| Moment of inertia-T, L, I and built up sections, radius of gyration of builtup sections |
| Polar moment of inertia of solid and hollow circular sections using perpendicular axis theorem only |
Strength of materials |
|---|
| Simple stresses and strains, ductile materials, mechanical properties of materials, Hooke‘s law, lateral strain, Poisson‘s ratio, elastic constants and the relation between them, composite sections, resilience, strain energy, gradual and sudden loading |
| Shear force and bending moment diagrams for cantilever, simply supported, fixed, continuous and overhanging beams subjected to point loads and UDL |
Theory of simple bending |
|---|
| Assumptions, bending equation, bending stresses, section modulus, shear stress distribution across various sections like rectangular, circular and I-sections, torsion, solid and hollow circular shafts subjected to pure torsion, shear stress |
| Distribution in shafts, power transmitted by circular shafts |
Theory of structures |
|---|
| Deflection of cantilevers and simply supported beams by double integration method and deflection of simply supported beams by Macaulay‘s method, for Mohr‘s theorems for slopes and deflections, moment area method, columns and struts-types |
| Slenderness ratio, Euler‘s and Rankine‘s formulae for axial loading |
| Dams and retaining walls, conditions for stability, middle third rule, Rankine‘s formula for active earth pressure |
| Thin cylinders-failures, strain and changes in dimensions |
Reinforced concrete structures |
|---|
| Grades of concrete, characteristic strength, modulus of elasticity-I.S. 456-2000, philosophy of limit state design |
| Limit state of strength and serviceability, partial safety factor, design strength of materials and design loads, assumptions |
| Analysis and limit state design of rectangular beams-singly, doubly reinforced and T-beams |
| Shear in RCC beams, lintels and sunshades-development length |
| Slabs-analysis and limit state design of one-way and two-way slabs as per IS.456-2000 |
| Torsion reinforcement |
| Design of continuous slabs and beams, deflection check for slabs and beams |
| Detailing of reinforcement in singly reinforced and doubly reinforced simply supported beams of rectangular sections and lintels, one way and two way slabs |
Columns |
|---|
| Codal provisions of I.S. 456-2000, short and long columns, different shapes, design of short columns by limit state method, long columns-concept, effective length for different end conditions |
| Footings, isolated column footings, one way shear and two way shear |
| Stairs-types, loads on stairs |
Working stress method of design |
|---|
| Basic principles, neutral axis, lever arm-design and analysis of singly reinforced simply supported rectangular beams |
| Comparison of limit state and working stress methods |
Surveying |
|---|
| Chain surveying-purpose and principle, errors and corrections, different operations in chain surveying-obstacles, methods of calculation of area |
| Compass surveying-purpose and principle, bearings, traversing using prismatic compass, local attraction-errors |
| Levelling-definitions, component parts, errors, methods of levelling, contouring, characteristics and methods |
| Theodolite-principles and component parts, fundamental lines and relationship among them, adjustments of theodolite, measurement of horizontal and vertical angles, errors, traverse computations, Bowditch and transit rule |
| Tacheometry-principle, stadia tacheometry, tangential tacheometry, principle and uses of EDM, electronic theodolite, total station, global positioning system-importance, GIS-use and applications in civil engineering, curves-simple curves |
| Elements of simple curve, setting out of simple curves by chain and tape, single and double theodolite method |
Hydraulics |
|---|
| Fluid properties, specific weight-mass density, specific gravity, surface tension, capillarity, viscosity |
| Atmospheric pressure, gauge pressure and absolute pressure |
| Fluid pressure on plane surfaces, centre of pressure, measurement of fluid pressure using piezometer and manometers |
| Types of flows-uniform, non uniform, steady, unsteady, laminar and turbulent flows |
| Energies of liquid in motion-continuity equation |
| Bernoulli‘s theorem, pitot tube, venturimeter |
| Flow thorough small and large orifices, free orifices, submerged orifices, coefficients of orifices-Cc, Cv, and Cd |
| Flow through internal, external, convergent and divergent mouthpieces |
| Types of notches, rectangular and triangular, flow over notches |
| Types of weirs, sharp crested and broad crested, mathematical formulae for discharge-Francis and Bazin |
Flow through pipes |
|---|
| Major and minor losses, Chezy‘s and Darcy‘s formulae for loss of head due to friction, HGL and TEL, Reynold‘s number for laminar and turbulent flows |
| Flow through open channels, rectangular and trapezoidal, Chezy‘s formula for discharge, Kutter‘s and manning‘s equation for Chezy‘s constants-most economical sections |
| Reciprocating and centrifugal pumps (without problems) |
| Classification of turbines-Kaplan, Francis, and Pelton wheel (without problems), use of draft tube |
| Hydro-electric installations, components and uses |
Irrigation engineering |
|---|
| Necessity of irrigations, perinnial and inundation irrigation, flow and lift irrigation, principal crops-kharif and rabi seasons, duty, delta and base period |
| Methods of irrigation, check flooding, basin flooding, contour bunding, furrow, sprinkler and drip irrigations |
| Hydrology, rainfall, types of rain gauges, types of catchments, rainfall and runoff |
| Measurement of velocity of flow in streams, Ryve‘s and Dicken‘s formulae for computing maximum flood discharge |
| Classification of head works, component parts of diversion head works |
| Weirs and barrages |
| Perculation and uplift pressures |
| Types of reservoirs-dead storage, live storage and surcharge storage |
Storage head works |
|---|
| Different types of dams-rigid and non rigid dams, gravity dam, slow and high dams |
| Elementary profile of a dam |
| Failures of gravity dams, drainage galleries |
| Ogee and siphon spillways |
| Earth dams-types, failures, and precautions |
| Phreatic lines and drainage arrangements in earthen dams |
| Distribution works, classifications and alignment of canals, typical cross section of a canal, berm and balanced depth of cutting, canal lining |
| Cross drainage works-types and functions |
Transportation engineering |
|---|
| Importance of transportation engineering, IRC-classification of roads as per IRC, recommended IRC values of camber for different roads |
| Gradients, ruling gradient, limiting and exceptional gradient recommended IRC values of gradients, different systems of classification of soils, textural classification-I S classification of soils, bearing capacity-importance in foundation design |
| Highway surveys and traffic engineering, traffic census and its importance, road intersections, traffic signs, informatory signs, mandatory signs, cautionary signs |
| Highway constructions and manintenance, purpose of road drainage, surface and sub-surface drainage, typical cross section of highway in cutting and embankment |
| Water bound macadam roads, cement concrete roads |
| Permanent way of railways, importance of railways, gauge, types of gauges, structure of permanent way, different types of rails, requirements of a good rail, sleepers-functions, types of sleepers, characteristics of a good sleeper, spacing of sleepers |
| Sleeper density |
| Bridges, culverts and causeways: Bridges, classification based on material, position of bridge floor and form/ type of superstructure, selection of site for a bridge |
| Types of culverts, types of cause ways |
Environmental engineering |
|---|
| Environment and ecology, ecology and ecosystem, quality of water, need for protected water supply, total quantity of water for a town, per capita demand and factors affecting demand, forecasting population by arithmetical |
| Geometrical and incremental increase methods, sources and conveyance of water: Surface sources, underground sources, types of intakes |
| Quality and methods of purification of water |
| Distribution system: Methods of supply, storage-underground and overhead, service reservoirs, types of layout-dead end, grid, radial and ring system their merits and demerits and their suitability |
| General layout of water supply arrangements in buildings |
| System of sewage disposal, types of sewerage systems, quantity of discharge in sewers, dry weather flow, variability of flow |
| Different shapes of cross, section for sewers, strength of sewage, sampling of sewage, characteristics of sewage, characteristics of industrial waste water, principles of treatment, preliminary treatment, secondary treatment |
| Sewers, sewer appaurtences-shapes, merits and demerits |
| Solid waste disposal and sanitation in buildings |
| Methods of disposal, sanitary fittings |
| Rural water supply and sanitation, disinfection of wells, rural sanitation and sanitary latrines, biogas production technology |
Design of steel structures |
|---|
| Loads considered in the design of steel structures as per I.S. 875-1987, standard structural sections, concept of limit state design |
| Design of fillet welded joints, types of joints, stresses in welds as per I.S. 800-2007 |
| Tension members and forms of tension members, different modes of failures, calculation of net effective sectional area of single angle with welded connection only |
| Different forms of compression members |
| Behavior of compression members, classification of cross-sections, effective lengths for different end conditions, codal provisions of single or double lacing and battening for built up columns (no problems) |
| Analysis and design of steel beams, concept of limit state design of beams, shape factor and plastic properties of beams, problems on shape factor |
| Laterally supported beam, laterally unsupported beams, effective strength of compression flanges, resistance to shear buckling, shear buckling design methods. design of roof trusses-loads of roof trusses as per I.S. 875 |
Matrices |
|---|
| Definition of matrix, types of matrices, algebra of matrices, transpose of a matrix-symmetric, skew symmetric matrices, minor, cofactor of an element, determinant of a square matrix, properties, Laplace‘s expansion, singular and nonsingular matrices |
| Adjoint and multiplicative inverse of a square matrix, system of linear equations in 3 variables, solutions by Crammer‘s rule, matrix inversion method, Gauss-Jordan method |
| Partial fractions: Resolving a given rational function into partial fractions |
| Logarithms: Definition of logarithm and its properties, meaning of ‘e’ exponential function and logarithmic function |
Trigonometry |
|---|
| Properties of trigonometric functions-ratios of compound angles, multiple angles, submultiple angles,transformations of products into sum or difference and vice versa, simple trigonometric equations,properties of triangles, inverse trigonometric functions |
| Hyperbolic functions |
| Complex numbers: Properties of modulus, amplitude and conjugate of complex numbers, arithmetic operations on complex numbers, modulus, amplitude form (polar form), Euler form (exponential form), properties |
Analytical geometry |
|---|
| Straight lines, different forms of straight lines, distance of a point from a line, acute angle between two lines, intersection of two non-parallel lines and distance between two parallel lines |
| Circles-equation of circle given center and radius, given ends of diameter, general equation, finding center and radius, center and a point on the circumference, 3 non-collinear points, center and tangent |
| Equation of tangent and normal at a point on the circle |
Differentiation and its application |
|---|
| Functions and limits, standard limits, differentiation from the first principle, differentiation of sum, product, quotient of functions, function of function, trigonometric, inverse trigonometric, exponential, logarithmic, hyperbolic functions, |
| Implicit, explicit and parametric functions, derivative of a function with respect to another function, second order derivatives, geometrical applications of the derivative (angle between curves, tangent and normal)-increasing and decreasing functions |
| Maxima and minima (single variable functions) using second order derivative only, partial differentiation, partial derivatives up to second order, Euler‘s theorem |
Integration and its applications |
|---|
| Indefinite integral, standard forms-integration by decomposition of the integrand, integration of trigonometric, algebraic, exponential, logarithmic and hyperbolic functions, integration by substitution |
| Integration of reducible and irreducible quadratic factors, integration by parts, definite integrals and properties, definite integral as the limit of a sum, application of integration to find areas under plane curves and volumes of solids of revolution |
| Mean and RMS values, trapezoidal rule and Simpson’s 1/3 rule for approximation integrals |
Differential equations |
|---|
| Definition of a differential equation, order and degree of a differential equation, formation of differential equations, solution of differential equation of the type first order, first degree, variable-separable, homogeneous equations, exact |
| Linear differential equation of the form dy/ dx+Py=Q, Bernoulli‘s equation |
| nth order linear differential equation with constant coefficients both homogeneous and non-homogeneous and finding the particular integrals for the functions eᵃˣ, sin ax, cos ax, xᵐ (a polynomial of m-th degree m=1, 2) |
Laplace transforms |
|---|
| Laplace transforms (LT) of elementary functions-linearity property, first shifting property, change of scale property multiplication and division by t-LT of derivatives and integrals, unit step function, LT of unit step function, second shifting property |
| Evaluation of improper integrals, inverse Laplace transform (ILT), shifting theorem, change of scale property, multiplication and division by s, ILT by using partial fractions and convolution theorem |
| Applications of LT to solve ordinary differential equations up to second order only |
Fourier series |
|---|
| Define Fourier series, Euler’s formulae over the interval (C, C+2π) for determining the Fourier coefficients |
| Fourier series of simple functions in (0, 2π) and (–π, π) |
| Fourier series for even and odd functions in the interval (–π, π) |
Units and dimensions |
|---|
| Physical quantity, fundamental and derived physical quantities, units, fundamental and derived units, SI units, multiples and sub-multiples in SI units, advantages of SI units, dimensions and dimensional formulae for physical quantities |
| Dimensionless quantities, principle of homogeneity in dimensions, applications and limitations of dimensional analysis |
Modern physics |
|---|
| Photo electric effect, explanation and its laws-applications of photo electric effect (photocell), Einstein’s photoelectric equation, critical angle and total internal reflection, optical fibers-principle, working, types and applications |
| Concept of super conductivity, examples for super conducting materials and applications |
Heat and thermodynamics |
|---|
| Boyle‘s law, absolute scale of temperature, Charles laws, ideal gas equation, universal gas constant and its value, SI units, problems, isothermal process, adiabatic process, first law and second law of thermodynamics, two specific heats of a gas |
| Relation between Cp and Cv-problems |
Elements of vectors |
|---|
| Scalar and vector quantities, examples, types of vectors, addition and subtraction of vectors, triangle law, parallelogram law, expression for magnitude direction in case of parallelogram law, polygon law, resolution of a vector, unit vectors (i,j,k) |
| Dot product and cross product of two vectors, characteristics of dot and cross products-examples, problems |
Kinematics |
|---|
| Equations of motion, acceleration due to gravity, equations of motion under gravity, projectile motion-examples, horizontal and oblique projections, expression for path of projectile in case of oblique projection, expressions for maximum height |
| Time of ascent, time of flight, horizontal range in case of oblique projections-problems |
Friction |
|---|
| Friction, causes and types of friction, normal reaction, laws of friction, coefficients of friction, angle of friction, methods to reduce friction, advantages and disadvantages of friction |
| Expression for acceleration of a body over a rough horizontal surface, expressions for displacement and time taken to come to rest over a rough horizontal surface-problems |
Work, power, and energy |
|---|
| Work, power, and energy-definitions and units, potential and kinetic energies, examples and expressions, work-energy theorem, relation between kinetic energy and momentum, law of conservation of energy in case of freely falling body-problems |
Simple harmonic motion |
|---|
| Definition, conditions of SHM, examples of SHM, expressions for displacement, velocity, acceleration, time period, frequency and phase of SHM, expression for time period of a simple pendulum, laws of simple pendulum, seconds pendulum, problems |
Sound |
|---|
| Sound, longitudinal wave and transverse wave, musical sound and noise, noise pollution, effects and methods to control noise pollution, beats and echo’s and their applications, Doppler effect-explanation, and applications, reverberation time |
| Sabine’s formula, characteristics of a good auditorium-problems |
Properties of matter |
|---|
| Define terms-elasticity, plasticity-stress and strain, units, Hooke’s law-definition of surface tension, examples-explanation on the basis of molecular theory-angle of contact, capillarity and examples-formula for surface tension based on capillarity |
| Viscosity and examples, Newton’s formula for viscosity, Poiseulle’s equation for coefficient for viscosity, effect of temperature on viscosity of liquids and gases-problems |
Electricity and magnetism |
|---|
| Ohm’s law, specific resistance, conductance and their units, state and explain Kirchhoff's laws, expression for balancing condition of Wheat stone’s bridge, concept of meter bridge, Coulomb’s inverse square law in magnetism, magnetic field |
| Magnetic lines of force, magnetic induction field strength and units, moment of couple acting on a bar magnet placed in uniform magnetic field problem |
Fundamentals of chemistry |
|---|
| Atomic structure: Introduction, fundamental particles of an atom, Bohr‘s theory, quantum numbers, Aufbau’s principle, Hund‘s rule, Pauli‘s exclusion principle, electronic configurations of elements up to atomic number 30, shapes of s, p, d orbitals |
| Chemical Bonding: Introduction, types of chemical bonds, ionic bond-NaCl and MgO, characteristics of ionic compounds, covalent bond-H, O, N, characteristics of covalent compounds, coordinate covalent bond-definitions and examples, [NH+], [NHBF] |
| Oxidation-reductions: Electronic concept of oxidation and reduction, oxidation number and its calculations-differences between oxidation number and valency |
Solutions |
|---|
| Introduction, definition of solution, solute and solvent, classification of solutions based on physical state, mole concept, molecular weight, equivalent weight of acids, bases, and salts, molarity, normality and numerical problems |
Acids and bases |
|---|
| Introduction, theories of acids and bases, Arrhenius theory, Bronsted-Lowry theory, Lewis theory, ionic product of water, pH and related numerical problems pertaining to strong acids and bases, definition of buffer, types of buffer |
| Acidic buffer (acetate buffer), basic buffer (ammonia buffer)-applications |
Principles of metallurgy |
|---|
| Characteristics of metals and distinction between metals and non-metals |
| Definitions of metallurgy, ore, gangue, flux, slag, concentration of ore by froth floatation process-roasting, calcination, smelting, alloys, composition and uses of brass, German silver and nichrome |
Electrochemistry |
|---|
| Conductors, metallic and electrolytic conductors, insulators, electrolytes (strong and weak), Arrhenius theory of electrolytic dissociation, electrolysis of fused NaCl, Faraday‘s laws of electrolysis, numerical problems, Galvanic cell |
| Electrode potential, standard electrode potential, electro chemical series, EMF and numerical problems on EMF of a cell |
Corrosion |
|---|
| Introduction, definition of corrosion, factors influencing rate of corrosion, electrochemical theory of corrosion, composition cell, stress cell and concentration cell, rusting of iron and its mechanism |
| Prevention of corrosion by-(a) protective coatings, (b) cathodic protection (sacrificial anode method and impressed voltage method) |
Water technology |
|---|
| Introduction, soft and hard water, causes of hardness, types of hardness, disadvantages of hard water, degree of hardness, units and numerical problems, softening methods, permutit process, ion exchange process, characteristics of drinking water |
| Municipal treatment of water for drinking purpose, osmosis and reverse osmosis, advantages of reverse osmosis |
Polymers |
|---|
| Introduction, polymerization, types of polymerization-addition, condensation polymerization with examples, plastics, types of plastics, advantages of plastics over traditional materials, disadvantages of using plastics |
| Thermo plastics and thermo setting plastics, differences between thermo plastics and thermo stetting plastics, preparation and uses of the following plastics: (i) Polythene, (ii) PVC, (iii) teflon, (iv) polystyrene, (v) urea formaldehyde |
| Preparation and uses of the following plastics: (vi) Bakelite, rubber, natural rubber, processing of rubber from latex, vulcanization, elastomers, butyl rubber, Buna-s, neoprene rubber and their uses |
Fuels |
|---|
| Definition and classification of fuels based on physical state and occurrence, characteristics of good fuel, composition and uses of gaseous fuels-(a) water gas, (b) producer gas, (c) natural gas, (d) coal gas, (e) bio gas, (f) acetylene |
Environmental chemistry |
|---|
| Introduction, environment, lithosphere, hydrosphere, atmosphere biosphere, biotic component, energy component pollutant, receptor, sink, particulate, DO, BOD, threshold limit value, COD-air pollution-causes, effects, forest resources |
| Uses and over exploitation, deforestation, acid rain, green house effect, ozone depletion, control of air pollution, water pollution-causes, effects, control measures, renewable and non renewable energy sources, concept of ecosystem, producers |
| Consumers and decomposers, biodiversity, threats to biodiversity |
Digital electronics |
|---|
| Logic gates, AND, OR, NOT, NOR, NAND, XOR and XNOR, Boolean expressions, De-Morgan’s theorems, K-map, combinational circuits, logic families: TTL, ECL, MOS, flip-flops, edge and level triggering, counters, registers, semiconductor memories |
| Logic families: Encoders and decoders, multiplexers and de-multiplexers |
Microprocessors |
|---|
| 8086 microprocessor-architecture, segmentation concepts, instruction set of 8086, register organization, addressing modes of 8086, interrupts, assembly language programming, peripheral devices and interfacing-INTEL 8255, 8257, 8251A, 8279 |
| Preliminary features of 80286, 80386, and 80486 |
Computer organization |
|---|
| Functional blocks of CPU, stored program concept, instruction execution, fixed point, floating point number representations, addressing modes, memory hierarchy, virtual memory, associative memory, cache memory, I/O organization, modes of data transfer |
| Programmed I/O, DMA, interrupts, pipeline and vector processing, Flynn’s classification |
C, data structures using C++ |
|---|
| C tokens, data types, operators and expressions, precedence and associativity of operators, type conversions, control statements, arrays, strings, functions, parameter passing, pointers, structures, unions-storage classes |
| Pre processor directive statements, files |
| Data structures: Algorithms, time and space complexities, linked lists, queues and stacks, trees, sorting: Bubble, selection, insertion, quick and merge sorts, searching: Linear and binary search techniques |
Computer hardware and networking |
|---|
| BIOS, components of motherboard-processors, hard disk drives, input and output devices, networking, OSI reference model, TCP/IP reference model, network topologies: Bus, ring, star, mesh, hybrid, LAN components-coaxial, twisted pair |
| LAN components-optical fiber cables and connectors, LAN devices-repeaters, hubs, switches, NIC, higher, layer protocols: HTTP, FTP, SMTP, telnet, TCP/ IP addressing scheme, IP address classes, IP sub netting |
Operating systems |
|---|
| Operating system concepts, functions, types, system calls, process management, CPU scheduling algorithms, threads, semaphores, inter process communication, deadlocks, memory management, overlays, paging, segmentation, virtual memory |
| Page replacement algorithms, thrashing, disk scheduling, free space management, allocation methods, disk scheduling algorithms, file management, file operations, access methods, protection |
RDBMS |
|---|
| Need of database systems, data abstraction-data independence, data models, E-R model, structure of relational database, DDL, DML, and DCL commands, Keys, normal forms: 1st, 2nd, 3rd and BCNF-EF Codd rules, SQL-data types, operators, joins, views |
| Sequences, synonyms, indexes and clusters, PL/SQL-data types, control structures, cursor management, triggers, exceptions, functions, procedures recursion and packages |
Object oriented programming through C++ |
|---|
| Concept of OOPs, classes and objects, constructors and destructors, arrays, pointers, references, function overloading and operator overloading, inheritance, virtual functions, friend functions, this pointer, i/o manipulators, file and i/o functions |
| Templates |
Java programming |
|---|
| Java-data types, variables, operators, arrays, classes and objects, methods, constructors, overloading, inheritance, visibility mode, packages, interfaces, multithreading, exception handling, JDBC |
Internet programming |
|---|
| Internet fundamentals, HTML, tags, attributes, formatting text, cascading style sheets, web servers, java script-data types, operators, control structures, procedures, functions and arrays, PHP-data types, variables, operators, control structures, arrays |
| Functions, concept of accessing databases, sessions and cookies |
Matrices |
|---|
| Definition of matrix, types of matrices, algebra of matrices, transpose of a matrix, symmetric, skew symmetric matrices, minor, cofactor of an element, determinant of a square matrix, properties, Laplace‘s expansion, singular and nonsingular matrices |
| Adjoint and multiplicative inverse of a square matrix, system of linear equations in 3 variables, solutions by Crammer‘s rule, matrix inversion method, Gauss-Jordan method |
| Partial fractions: Resolving a given rational function into partial fractions |
| Logarithms: Definition of logarithm and its properties, meaning of ‘e’ exponential function and logarithmic function |
Trigonometry |
|---|
| Properties of trigonometric functions-ratios of compound angles, multiple angles, submultiple angles,transformations of products into sum or difference and vice versa, simple trigonometric equations,properties of triangles, inverse trigonometric functions |
| Hyperbolic functions |
| Complex numbers: Properties of modulus, amplitude and conjugate of complex numbers, arithmetic operations on complex numbers, modulus, amplitude form (polar form), Euler form (exponential form), properties |
Analytical geometry |
|---|
| Straight lines, different forms of straight lines, distance of a point from a line, acute angle between two lines, intersection of two non-parallel lines and distance between two parallel lines |
| Circles-equation of circle given center and radius, given ends of diameter, general equation, finding center and radius, center and a point on the circumference, 3 non-collinear points, center and tangent |
| Equation of tangent and normal at a point on the circle |
Differentiation and its application |
|---|
| Functions and limits, standard limits, differentiation from the first principle, differentiation of sum, product, quotient of functions, function of function, trigonometric, inverse trigonometric, exponential, logarithmic, hyperbolic functions, |
| Implicit, explicit and parametric functions, derivative of a function with respect to another function, second order derivatives, geometrical applications of the derivative (angle between curves, tangent and normal)-increasing and decreasing functions |
| Maxima and minima (single variable functions) using second order derivative only, partial differentiation, partial derivatives up to second order, Euler‘s theorem |
Integration and its applications |
|---|
| Indefinite integral, standard forms-integration by decomposition of the integrand, integration of trigonometric, algebraic, exponential, logarithmic and hyperbolic functions, integration by substitution |
| Integration of reducible and irreducible quadratic factors, integration by parts, definite integrals and properties, definite integral as the limit of a sum, application of integration to find areas under plane curves and volumes of solids of revolution |
| Mean and RMS values, trapezoidal rule and Simpson’s 1/3 rule for approximation integrals |
Differential equations |
|---|
| Definition of a differential equation, order and degree of a differential equation, formation of differential equations, solution of differential equation of the type first order, first degree, variable-separable, homogeneous equations, exact |
| Linear differential equation of the form dy/ dx+Py=Q, Bernoulli‘s equation |
| nth order linear differential equation with constant coefficients both homogeneous and non-homogeneous and finding the particular integrals for the functions eᵃˣ, sin ax, cos ax, xᵐ (a polynomial of m-th degree m=1, 2) |
Laplace transforms |
|---|
| Laplace transforms (LT) of elementary functions-linearity property, first shifting property, change of scale property multiplication and division by t-LT of derivatives and integrals, unit step function, LT of unit step function, second shifting property |
| Evaluation of improper integrals, inverse Laplace transform (ILT), shifting theorem, change of scale property, multiplication and division by s, ILT by using partial fractions and convolution theorem |
| Applications of LT to solve ordinary differential equations up to second order only |
Fourier series |
|---|
| Define Fourier series, Euler’s formulae over the interval (C, C+2π) for determining the Fourier coefficients |
| Fourier series of simple functions in (0, 2π) and (–π, π) |
| Fourier series for even and odd functions in the interval (–π, π) |
Units and dimensions |
|---|
| Physical quantity, fundamental and derived physical quantities, units, fundamental and derived units, SI units, multiples and sub-multiples in SI units, advantages of SI units, dimensions and dimensional formulae for physical quantities |
| Dimensionless quantities, principle of homogeneity in dimensions, applications and limitations of dimensional analysis |
Modern physics |
|---|
| Photo electric effect, explanation and its laws-applications of photo electric effect (photocell), Einstein’s photoelectric equation, critical angle and total internal reflection, optical fibers-principle, working, types and applications |
| Concept of super conductivity, examples for super conducting materials and applications |
Heat and thermodynamics |
|---|
| Boyle‘s law, absolute scale of temperature, Charles laws, ideal gas equation, universal gas constant and its value, SI units, problems, isothermal process, adiabatic process, first law and second law of thermodynamics, two specific heats of a gas |
| Relation between Cp and Cv-problems |
Elements of vectors |
|---|
| Scalar and vector quantities, examples, types of vectors, addition and subtraction of vectors, triangle law, parallelogram law, expression for magnitude direction in case of parallelogram law, polygon law, resolution of a vector, unit vectors (i,j,k) |
| Dot product and cross product of two vectors, characteristics of dot and cross products-examples, problems |
Kinematics |
|---|
| Equations of motion, acceleration due to gravity, equations of motion under gravity, projectile motion-examples, horizontal and oblique projections, expression for path of projectile in case of oblique projection, expressions for maximum height |
| Time of ascent, time of flight, horizontal range in case of oblique projections-problems |
Friction |
|---|
| Friction, causes and types of friction, normal reaction, laws of friction, coefficients of friction, angle of friction, methods to reduce friction, advantages and disadvantages of friction |
| Expression for acceleration of a body over a rough horizontal surface, expressions for displacement and time taken to come to rest over a rough horizontal surface-problems |
Work, power, and energy |
|---|
| Work, power, and energy-definitions and units, potential and kinetic energies, examples and expressions, work-energy theorem, relation between kinetic energy and momentum, law of conservation of energy in case of freely falling body-problems |
Simple harmonic motion |
|---|
| Definition, conditions of SHM, examples of SHM, expressions for displacement, velocity, acceleration, time period, frequency and phase of SHM, expression for time period of a simple pendulum, laws of simple pendulum, seconds pendulum, problems |
Sound |
|---|
| Sound, longitudinal wave and transverse wave, musical sound and noise, noise pollution, effects and methods to control noise pollution, beats and echo’s and their applications, Doppler effect-explanation, and applications, reverberation time |
| Sabine’s formula, characteristics of a good auditorium-problems |
Properties of matter |
|---|
| Define terms-elasticity, plasticity-stress and strain, units, Hooke’s law-definition of surface tension, examples-explanation on the basis of molecular theory-angle of contact, capillarity and examples-formula for surface tension based on capillarity |
| Viscosity and examples, Newton’s formula for viscosity, Poiseulle’s equation for coefficient for viscosity, effect of temperature on viscosity of liquids and gases-problems |
Electricity and magnetism |
|---|
| Ohm’s law, specific resistance, conductance and their units, state and explain Kirchhoff's laws, expression for balancing condition of Wheat stone’s bridge, concept of meter bridge, Coulomb’s inverse square law in magnetism, magnetic field |
| Magnetic lines of force, magnetic induction field strength and units, moment of couple acting on a bar magnet placed in uniform magnetic field problem |
Fundamentals of chemistry |
|---|
| Atomic structure: Introduction, fundamental particles of an atom, Bohr‘s theory, quantum numbers, Aufbau’s principle, Hund‘s rule, Pauli‘s exclusion principle, electronic configurations of elements up to atomic number 30, shapes of s, p, d orbitals |
| Chemical Bonding: Introduction, types of chemical bonds, ionic bond-NaCl and MgO, characteristics of ionic compounds, covalent bond-H, O, N, characteristics of covalent compounds, coordinate covalent bond-definitions and examples, [NH+], [NHBF] |
| Oxidation-reductions: Electronic concept of oxidation and reduction, oxidation number and its calculations-differences between oxidation number and valency |
Solutions |
|---|
| Introduction, definition of solution, solute and solvent, classification of solutions based on physical state, mole concept, molecular weight, equivalent weight of acids, bases, and salts, molarity, normality and numerical problems |
Acids and bases |
|---|
| Introduction, theories of acids and bases, Arrhenius theory, Bronsted-Lowry theory, Lewis theory, ionic product of water, pH and related numerical problems pertaining to strong acids and bases, definition of buffer, types of buffer |
| Acidic buffer (acetate buffer), basic buffer (ammonia buffer)-applications |
Principles of metallurgy |
|---|
| Characteristics of metals and distinction between metals and non-metals |
| Definitions of metallurgy, ore, gangue, flux, slag, concentration of ore by froth floatation process-roasting, calcination, smelting, alloys, composition and uses of brass, German silver and nichrome |
Electrochemistry |
|---|
| Conductors, metallic and electrolytic conductors, insulators, electrolytes (strong and weak), Arrhenius theory of electrolytic dissociation, electrolysis of fused NaCl, Faraday‘s laws of electrolysis, numerical problems, Galvanic cell |
| Electrode potential, standard electrode potential, electro chemical series, EMF and numerical problems on EMF of a cell |
Corrosion |
|---|
| Introduction, definition of corrosion, factors influencing rate of corrosion, electrochemical theory of corrosion, composition cell, stress cell and concentration cell, rusting of iron and its mechanism |
| Prevention of corrosion by-(a) protective coatings, (b) cathodic protection (sacrificial anode method and impressed voltage method) |
Water technology |
|---|
| Introduction, soft and hard water, causes of hardness, types of hardness, disadvantages of hard water, degree of hardness, units and numerical problems, softening methods, permutit process, ion exchange process, characteristics of drinking water |
| Municipal treatment of water for drinking purpose, osmosis and reverse osmosis, advantages of reverse osmosis |
Polymers |
|---|
| Introduction, polymerization, types of polymerization-addition, condensation polymerization with examples, plastics, types of plastics, advantages of plastics over traditional materials, disadvantages of using plastics |
| Thermo plastics and thermo setting plastics, differences between thermo plastics and thermo stetting plastics, preparation and uses of the following plastics: (i) Polythene, (ii) PVC, (iii) teflon, (iv) polystyrene, (v) urea formaldehyde |
| Preparation and uses of the following plastics: (vi) Bakelite, rubber, natural rubber, processing of rubber from latex, vulcanization, elastomers, butyl rubber, Buna-s, neoprene rubber and their uses |
Fuels |
|---|
| Definition and classification of fuels based on physical state and occurrence, characteristics of good fuel, composition and uses of gaseous fuels-(a) water gas, (b) producer gas, (c) natural gas, (d) coal gas, (e) bio gas, (f) acetylene |
Environmental chemistry |
|---|
| Introduction, environment, lithosphere, hydrosphere, atmosphere biosphere, biotic component, energy component pollutant, receptor, sink, particulate, DO, BOD, threshold limit value, COD-air pollution-causes, effects, forest resources |
| Uses and over exploitation, deforestation, acid rain, green house effect, ozone depletion, control of air pollution, water pollution-causes, effects, control measures, renewable and non renewable energy sources, concept of ecosystem, producers |
| Consumers and decomposers, biodiversity, threats to biodiversity |
Basic electrical engineering |
|---|
| Ohms and Kirchhoff‘s laws, series and parallel resistance circuits, star/ delta transformation, network theorems, work, power, and energy, heating effects of electric current, magnetic effects of electric current, electromagnetic induction, electrostatics |
| Types of electrical engineering materials-conducting, semi-conducting, magnetic, insulating, di-electric materials-properties and uses-special purpose materials, batteries, types, properties and applications |
D.C. machines and measuring instruments |
|---|
| DC generators: Construction, operation, types, EMF equation, windings, armature reaction, characteristics, efficiency and parallel operation, applications |
| DC Motors: Principle of operation, back EMF, torque equation, types, characteristics, starters, speed control, losses, efficiency and testing |
| Measuring instruments: Classification, deflection, controlling and damping torques, shunts and multipliers-construction, working principle of operation of moving coil, moving iron, dynamometer type, induction type meters, errors instrument transformers |
| Measuring instruments: Induction type energy meter, shunts and multiplers, measurement of resistance, megger, potentiometer, transducers and sensors-types, thermistor, thermocouple, LVDT and strain gauges |
| Electronics and digital instruments |
| Rectifier type, digital multimeter, energy meter, frequency meter, synchroscope and clamp meter |
A.C. circuits and transformers |
|---|
| A.C. circuits: Fundamentals, series and parallel ac circuits, resonant circuits, polyphase circuits, measurement of power by 2 Wattmeter’s method |
| Transformer: Single-phase transformer, construction, operation, equivalent circuit, regulation, efficiency, testing and parallel operation, accessories of transformers and cooling. Three-phase transformers, auto-transformers |
A.C. machines |
|---|
| Alternators: Construction, operation, EMF equation, regulation, testing and parallel operation |
| Synchronous motors: Operation and performance, effects of field excitation, ‘V‘-curve and inverted ‘V‘-curve, methods of starting and uses. Hunting and its effects |
| Three-phase induction motors: Construction, principle of operation, torque equation, slip-torque characteristics, losses, efficiency, testing, speed control, starters, double-cage motor and applications |
| Single-phase motors: Induction motor-types, principle of operation, applications |
| Single phase commutator motors: types, principle of operation and applications |
Power system generation and protection |
|---|
| Generating stations: Conventional and non-conventional sources of energy, working, components, thermal, hydel, nuclear and gas power stations, types, comparison renewable energy sources, solar, photovoltaic and windmill, pollution control |
| Generating stations: Combined working, power stations auxiliaries, characteristic curves and important terms, types of tariffs, power factor correction and economy |
| Switch gear power systems protection: Circuit breakers-types, principles of operation and uses, current limiting, fuses and reactors, relays-classification, principle of operation of induction type over current relay, directional over current relays |
| Switch gear power systems protection: Distance relays, protection of alternators, transformers, bus-bars, transmission lines and feeders, lightening arrestors, neutral grounding |
Transmission and distribution |
|---|
| Transmission and distribution: Types of supply systems, transmission line parameters, inductance and capacitance, performance of short and medium lines, regulation, ferranti effect, corona, skin effect, basic concepts of HVDC transmission |
| Transmission and distribution: Types, advantages and disadvantages of HVDC transmission |
| Components of lines, supports, conductor spacing, ground clearance and sag, insulators, voltage distribution across the string, string efficiency, methods of improving string efficiency |
| Types of sub-stations and substation equipment |
| Cables-classification, insulation resistance, specifications |
| Distribution-radial and ring distributors, variation of load voltage |
Electric drives and traction |
|---|
| Electric drives-selection of motors, A.C. and D.C types, rating, load, equalization, use of fly wheel, types of enclosures and bearings, reduction of noise |
| Electric braking-types, A.C. and D.C., plugging, rheostatic and regenerative braking |
| Domestic application and industrial application of drives |
| Electric traction: Systems of train electrification, speed-time curves for different services, schedule speed, tractive effort, specific energy consumption, traction system auxiliaries, traction motor, supply systems-train lighting systems |
Electrical installation and estimation |
|---|
| Electric wiring: Tools, wires, types of wiring, accessories, lamp circuits, estimating and costing of domestic, industrial, power, irrigation pump sets, over head lines and 11 KV substations, rural electrification, departmental tests, earthing |
| Electric wiring: Maintenance of electrical machines |
Basic electronics and digital electronics |
|---|
| Semi-conductor devices: Resistance, capacitance, specifications, inductance types, PN diode, zener diode, characteristics, PNP and NPN transistors, transistor configurations, characteristics, half and full wave rectifiers, bridge rectifiers, filters |
| Semi-conductor devices: Zener diode regulation |
| Special devices: UJT, FET, MOSFET, LED, SCR, opto coupler, photo diode, photo transistor, CRO and timers |
| Amplifiers: Types, principles of operation, characteristics, multistage, coupled amplifiers, power amplifiers, and feedback amplifiers |
| Oscillators: Types, working principle of operation and applications, CRO and 555 timer |
| Digital electronics: Different numbering systems, inter conversions, boolean algebra, logic families, performance of AND, OR, NOT, NOR, NAND, EX-OR gates, combinational logic circuits, sequential logic circuits, registers and memories |
| Digital electronics: A/D and D/A converters, counters and flip-flops |
Power electronics and micro controllers |
|---|
| Power electronic devices: Construction and working of SCR, GTOSCR, DIAC, TRIAC, IGBT, LASCR, voltampere characteristics, triggering of SCR using UJT, commutation of SCR and SCR protection |
| Converters, A.C. regulators; choppers, inverters and cyclo converters: Types, characteristics and applications and principle of working |
| Speed control of D.C./A.C. motors and application of power devices: Speed control of D.C. shunt motors by using converters and choppers, speed control of induction motor by using V/F control and A.C. voltage regulator, applications |
| Micro controllers: Architecture of 8051, instruction set of 8051, programming concepts, applications |
Matrices |
|---|
| Definition of matrix, types of matrices, algebra of matrices, transpose of a matrix-symmetric, skew symmetric matrices, minor, cofactor of an element, determinant of a square matrix, properties, Laplace‘s expansion, singular and nonsingular matrices |
| Adjoint and multiplicative inverse of a square matrix, system of linear equations in 3 variables, solutions by Crammer‘s rule, matrix inversion method, Gauss-Jordan method |
| Partial fractions: Resolving a given rational function into partial fractions |
| Logarithms: Definition of logarithm and its properties, meaning of ‘e’ exponential function and logarithmic function |
Trigonometry |
|---|
| Properties of trigonometric functions-ratios of compound angles, multiple angles, submultiple angles,transformations of products into sum or difference and vice versa, simple trigonometric equations,properties of triangles, inverse trigonometric functions |
| Hyperbolic functions |
| Complex numbers: Properties of modulus, amplitude and conjugate of complex numbers, arithmetic operations on complex numbers, modulus, amplitude form (polar form), Euler form (exponential form), properties |
Analytical geometry |
|---|
| Straight lines, different forms of straight lines, distance of a point from a line, acute angle between two lines, intersection of two non-parallel lines and distance between two parallel lines |
| Circles-equation of circle given center and radius, given ends of diameter, general equation, finding center and radius, center and a point on the circumference, 3 non-collinear points, center and tangent |
| Equation of tangent and normal at a point on the circle |
Differentiation and its application |
|---|
| Functions and limits, standard limits, differentiation from the first principle, differentiation of sum, product, quotient of functions, function of function, trigonometric, inverse trigonometric, exponential, logarithmic, hyperbolic functions, |
| Implicit, explicit and parametric functions, derivative of a function with respect to another function, second order derivatives, geometrical applications of the derivative (angle between curves, tangent and normal)-increasing and decreasing functions |
| Maxima and minima (single variable functions) using second order derivative only, partial differentiation, partial derivatives up to second order, Euler‘s theorem |
Integration and its applications |
|---|
| Indefinite integral, standard forms-integration by decomposition of the integrand, integration of trigonometric, algebraic, exponential, logarithmic and hyperbolic functions, integration by substitution |
| Integration of reducible and irreducible quadratic factors, integration by parts, definite integrals and properties, definite integral as the limit of a sum, application of integration to find areas under plane curves and volumes of solids of revolution |
| Mean and RMS values, trapezoidal rule and Simpson’s 1/3 rule for approximation integrals |
Differential equations |
|---|
| Definition of a differential equation, order and degree of a differential equation, formation of differential equations, solution of differential equation of the type first order, first degree, variable-separable, homogeneous equations, exact |
| Linear differential equation of the form dy/ dx+Py=Q, Bernoulli‘s equation |
| nth order linear differential equation with constant coefficients both homogeneous and non-homogeneous and finding the particular integrals for the functions eᵃˣ, sin ax, cos ax, xᵐ (a polynomial of m-th degree m=1, 2) |
Laplace transforms |
|---|
| Laplace transforms (LT) of elementary functions-linearity property, first shifting property, change of scale property multiplication and division by t-LT of derivatives and integrals, unit step function, LT of unit step function, second shifting property |
| Evaluation of improper integrals, inverse Laplace transform (ILT), shifting theorem, change of scale property, multiplication and division by s, ILT by using partial fractions and convolution theorem |
| Applications of LT to solve ordinary differential equations up to second order only |
Fourier series |
|---|
| Define Fourier series, Euler’s formulae over the interval (C, C+2π) for determining the Fourier coefficients |
| Fourier series of simple functions in (0, 2π) and (–π, π) |
| Fourier series for even and odd functions in the interval (–π, π) |
Units and dimensions |
|---|
| Physical quantity, fundamental and derived physical quantities, units, fundamental and derived units, SI units, multiples and sub-multiples in SI units, advantages of SI units, dimensions and dimensional formulae for physical quantities |
| Dimensionless quantities, principle of homogeneity in dimensions, applications and limitations of dimensional analysis |
Modern physics |
|---|
| Photo electric effect, explanation and its laws-applications of photo electric effect (photocell), Einstein’s photoelectric equation, critical angle and total internal reflection, optical fibers-principle, working, types and applications |
| Concept of super conductivity, examples for super conducting materials and applications |
Heat and thermodynamics |
|---|
| Boyle‘s law, absolute scale of temperature, Charles laws, ideal gas equation, universal gas constant and its value, SI units, problems, isothermal process, adiabatic process, first law and second law of thermodynamics, two specific heats of a gas |
| Relation between Cp and Cv-problems |
Elements of vectors |
|---|
| Scalar and vector quantities, examples, types of vectors, addition and subtraction of vectors, triangle law, parallelogram law, expression for magnitude direction in case of parallelogram law, polygon law, resolution of a vector, unit vectors (i,j,k) |
| Dot product and cross product of two vectors, characteristics of dot and cross products-examples, problems |
Kinematics |
|---|
| Equations of motion, acceleration due to gravity, equations of motion under gravity, projectile motion-examples, horizontal and oblique projections, expression for path of projectile in case of oblique projection, expressions for maximum height |
| Time of ascent, time of flight, horizontal range in case of oblique projections-problems |
Friction |
|---|
| Friction, causes and types of friction, normal reaction, laws of friction, coefficients of friction, angle of friction, methods to reduce friction, advantages and disadvantages of friction |
| Expression for acceleration of a body over a rough horizontal surface, expressions for displacement and time taken to come to rest over a rough horizontal surface-problems |
Work, power, and energy |
|---|
| Work, power, and energy-definitions and units, potential and kinetic energies, examples and expressions, work-energy theorem, relation between kinetic energy and momentum, law of conservation of energy in case of freely falling body-problems |
Simple harmonic motion |
|---|
| Definition, conditions of SHM, examples of SHM, expressions for displacement, velocity, acceleration, time period, frequency and phase of SHM, expression for time period of a simple pendulum, laws of simple pendulum, seconds pendulum, problems |
Sound |
|---|
| Sound, longitudinal wave and transverse wave, musical sound and noise, noise pollution, effects and methods to control noise pollution, beats and echo’s and their applications, Doppler effect-explanation, and applications, reverberation time |
| Sabine’s formula, characteristics of a good auditorium-problems |
Properties of matter |
|---|
| Define terms-elasticity, plasticity-stress and strain, units, Hooke’s law-definition of surface tension, examples-explanation on the basis of molecular theory-angle of contact, capillarity and examples-formula for surface tension based on capillarity |
| Viscosity and examples, Newton’s formula for viscosity, Poiseulle’s equation for coefficient for viscosity, effect of temperature on viscosity of liquids and gases-problems |
Electricity and magnetism |
|---|
| Ohm’s law, specific resistance, conductance and their units, state and explain Kirchhoff's laws, expression for balancing condition of Wheat stone’s bridge, concept of meter bridge, Coulomb’s inverse square law in magnetism, magnetic field |
| Magnetic lines of force, magnetic induction field strength and units, moment of couple acting on a bar magnet placed in uniform magnetic field problem |
Fundamentals of chemistry |
|---|
| Atomic structure: Introduction, fundamental particles of an atom, Bohr‘s theory, quantum numbers, Aufbau’s principle, Hund‘s rule, Pauli‘s exclusion principle, electronic configurations of elements up to atomic number 30, shapes of s, p, d orbitals |
| Chemical Bonding: Introduction, types of chemical bonds, ionic bond-NaCl and MgO, characteristics of ionic compounds, covalent bond-H, O, N, characteristics of covalent compounds, coordinate covalent bond-definitions and examples, [NH+], [NHBF] |
| Oxidation-reductions: Electronic concept of oxidation and reduction, oxidation number and its calculations-differences between oxidation number and valency |
Solutions |
|---|
| Introduction, definition of solution, solute and solvent, classification of solutions based on physical state, mole concept, molecular weight, equivalent weight of acids, bases, and salts, molarity, normality and numerical problems |
Acids and bases |
|---|
| Introduction, theories of acids and bases, Arrhenius theory, Bronsted-Lowry theory, Lewis theory, ionic product of water, pH and related numerical problems pertaining to strong acids and bases, definition of buffer, types of buffer |
| Acidic buffer (acetate buffer), basic buffer (ammonia buffer)-applications |
Principles of metallurgy |
|---|
| Characteristics of metals and distinction between metals and non-metals |
| Definitions of metallurgy, ore, gangue, flux, slag, concentration of ore by froth floatation process-roasting, calcination, smelting, alloys, composition and uses of brass, German silver and nichrome |
Electrochemistry |
|---|
| Conductors, metallic and electrolytic conductors, insulators, electrolytes (strong and weak), Arrhenius theory of electrolytic dissociation, electrolysis of fused NaCl, Faraday‘s laws of electrolysis, numerical problems, Galvanic cell |
| Electrode potential, standard electrode potential, electro chemical series, EMF and numerical problems on EMF of a cell |
Corrosion |
|---|
| Introduction, definition of corrosion, factors influencing rate of corrosion, electrochemical theory of corrosion, composition cell, stress cell and concentration cell, rusting of iron and its mechanism |
| Prevention of corrosion by-(a) protective coatings, (b) cathodic protection (sacrificial anode method and impressed voltage method) |
Water technology |
|---|
| Introduction, soft and hard water, causes of hardness, types of hardness, disadvantages of hard water, degree of hardness, units and numerical problems, softening methods, permutit process, ion exchange process, characteristics of drinking water |
| Municipal treatment of water for drinking purpose, osmosis and reverse osmosis, advantages of reverse osmosis |
Polymers |
|---|
| Introduction, polymerization, types of polymerization-addition, condensation polymerization with examples, plastics, types of plastics, advantages of plastics over traditional materials, disadvantages of using plastics |
| Thermo plastics and thermo setting plastics, differences between thermo plastics and thermo stetting plastics, preparation and uses of the following plastics: (i) Polythene, (ii) PVC, (iii) teflon, (iv) polystyrene, (v) urea formaldehyde |
| Preparation and uses of the following plastics: (vi) Bakelite, rubber, natural rubber, processing of rubber from latex, vulcanization, elastomers, butyl rubber, Buna-s, neoprene rubber and their uses |
Fuels |
|---|
| Definition and classification of fuels based on physical state and occurrence, characteristics of good fuel, composition and uses of gaseous fuels-(a) water gas, (b) producer gas, (c) natural gas, (d) coal gas, (e) bio gas, (f) acetylene |
Environmental chemistry |
|---|
| Introduction, environment, lithosphere, hydrosphere, atmosphere biosphere, biotic component, energy component pollutant, receptor, sink, particulate, DO, BOD, threshold limit value, COD-air pollution-causes, effects, forest resources |
| Uses and over exploitation, deforestation, acid rain, green house effect, ozone depletion, control of air pollution, water pollution-causes, effects, control measures, renewable and non renewable energy sources, concept of ecosystem, producers |
| Consumers and decomposers, biodiversity, threats to biodiversity |
Electrical engineering |
|---|
| Basic principles of electricity: Ohm‘s law, Kirchhoff‘s laws, ideal voltage source, ideal current source and its conversions, units of work, power, and energy, heating effects of electric current, Biot-Savart’s law, Fleming’s rules, Faraday’s laws |
| Basic principles of electricity: Lenz’s law, self and mutual inductance, lifting power of magnet |
| Electrostatics: Laws of electrostatics, Coulomb’s laws, permittivity, dielectric strength, dielectric constant, energy stored in a capacitor |
| Batteries: Primary cell, secondary cell, different types, charging and discharging, maintenance free batteries |
| Single phase transformers: Construction features, principles, auto transformer |
| Network theorems and machines: Motors and generators, A.C. machines, node voltage and mesh current analysis, Crammers rule, dual network theorem, reciprocating theorem for impedance matching, superposition theorem, Thevenin’s and Norton‘s theorems |
| Network theorems and machines: D.C. Maximum power transfer theorem, resonance in series and parallel circuits, Q-factor |
| A.C. machines: Alternator, induction motor, synchronous motor |
Industrial electronics |
|---|
| Photo transistor, photo conductive device, photo multiplier, solar cell, opto coupler, dot matrix display, seven segment display, bar graph display, induction heating, di-electric heating and resistance welding, generation and applications of ultrasonics |
| Control engineering: Basics of open loop and closed loop control systems. Linear and non-linear systems, time-variant and time-invariant systems, continuous data, sampled data and digital control systems, transfer functions, block diagram reduction |
| Control engineering: Properties and limitations of transfer functions, mason’s gain formula, signal flow graphs, time response of first order and second order systems, concept of stability (Routh-Hurwitz criterion) |
Electronics |
|---|
| Resistors, capacitors, and inductors and their specifications, chokes, self inductance, mutual inductance, AF, RF chokes, applications of transformers, basics of switches, fuses, relays, microphones and loud speakers, PCBs, conductors |
| Semi conductors and insulators, formation of P-N junction, forward and reverse biasing voltages, zener diode, varactor diode, tunnel diode and their applications, diode as rectifier, half wave rectifier, full wave rectifier, need for filter |
| Classification of filters, working of clipper and clamper using diodes, formation, working and configurations of PNP and NPN transistors, construction and working of FET, MOSFET, UJT, SCR, diac, and triac |
| Amplifiers: RC coupled amplifier, transformer coupled amplifier, darlington and cascaded amplifiers, class-A and class-B push-pull amplifier, complementary type power amplifier, oscillator principle, RC phase shift oscillator and Wien bridge oscillator |
| Amplifiers: Hartley oscillator, Colpitt’s oscillator, bootstrap sweep circuit, current sweep circuit using transistor, bistable, astable and monostable multi vibrators using transistors, transistor as an amplifier in different configurations |
| Amplifiers: A.C. and D.C. load line, biasing methods, operating points, stabilization techniques, direct coupled amplifier, differential amplifier, positive and negative feedback amplifiers |
| Types of IC’s: Based on integration (SSI, MSI, LSI and VLSI), heat sink |
Digital electronics |
|---|
| Number systems, different postulates, De-Morgan’s theorems, simplification of Boolean expressions, K-map (up to 3 variables reductions), logic gates, half adder, full adder, serial adder, parallel adder, 2’s complement subtractor |
| RS, T, D and master, slave JK type flip-flops and encoders, decoders, 4x1 multiplexer, 1x4 de-multiplexer, counters, modulus of counter, synchronous, asynchronous counters and their working, decade counter, ripple counter, binary counter, registers |
| Shift registers, universal shift register, b asic memories (RAM and ROM), analog to digital converters (counter type, successive approximation type) and digital to analog converters (R-2R ladder type, weighted resistor type) |
Electronic measuring instruments |
|---|
| Analog instruments: PMMC movement, ammeter, voltmeter and Ohm meter using PMMC movement, extension of range of ammeter and voltmeter, rectifier type voltmeter and ammeter, principle of moving Iron instruments, FET input voltmeter, differential voltmeter |
| Analog instruments: Wheatstone bridge, Maxwell bridge, Schering bridge, megger |
| Digital instruments: Digital multi meter, digital LCR meter, ramp type digital voltmeter, successive approximation type digital voltmeter, digital frequency meter |
| Cathode ray oscilloscope: CRT, time base generator, deflection sensitivity, triggered sweep circuits, CRO applications, storage oscilloscopes, digital oscilloscopes, dual trace oscilloscope |
| Signal generators and other instruments: AF oscillator, RF signal generator, function generator, Q-meter, distortion factor meter, digital IC tester, logic analyzer, XY recorders, plotters, signature analyzer |
Process instrumentation |
|---|
| Fundamentals of instrumentation, basic transducer theory for the measurement of displacement (LVDT, potentiometer, inductive, capacitive, RVDT), angular velocity (moving iron, moving coil type) |
| Temperature (liquid filled in thermometers, thermometers, RTD, thermo couple, thermistor, pyrometers, bi-metallic strips) |
| Pressure (elastic elements, strain gauge, piezoelectric transducer, force balance transducer, pressure multiplier, dead weight tester) |
| Flow (Bernoulli’s theorem, head type flow meters, rota meter, electromagnetic flow meter, anemometers, ultrasonic flow meter, mechanical flow meters, thermal flow meters), pneumatic transmitters, Ph, conductivity, weight, humidity |
| Different methods of level measurement, viscosity and density, flame sensors, leak detectors, noise sensors, torque transducers |
| Measurement of various parameters in: Power plants, petro chemical, iron and steel, paper and pulp plants |
Process control |
|---|
| Different process variables, process characteristics, ON-OFF control, proportional, integral and derivative controllers, PID controller, tuning of PID controller, actuators (pneumatic, electro-pneumatic, hydraulic) P to I and I to P converters |
| Solenoid valve, stepper motor actuator, basics of control valves, cascade controller, ratio controller, feed forward control systems, adaptive control, line diagrams, letter codes, standards |
Communications and linear IC applications |
|---|
| Need for modulation and types of Modulation, SSB, DSB and VSB transmission, AM and FM transmitters, AM and FM Detectors, basics of pulse modulation and applications |
| Characteristics of operational amplifier: Applications of operational amplifier like summer, integrator, differentiator, inverter, voltage follower, voltage to current converter, current to voltage converter, Op-amp based LPF, HPF, BPF, BSF, comparator |
| Characteristics of operational amplifier: Isolation amplifier, square wave generator, triangular wave generator, mono stable multi-vibrator, astable multi-vibrator, Wien-bridge oscillator, instrumentation amplifier, Schmitt trigger, ADC and DAC |
| Characteristics of operational amplifier: Applications of 555 timer IC (mono stable multi vibrator, astable multi vibrator, square wave generator), regulated power supply using 78XX regulator |
Analytical instrumentation |
|---|
| Electromagnetic spectrum, Beer Lambert’s law, mono chromator, light sources and detectors, spectrophotometer (UV, visible, IR), flame photometer, spectroflourometer, interferometer, refractometer, polari meter, different types of gas analyzers |
| Mass spectrometer, liquid chromatography and gas chromatography, auto analyzer |
| Nuclear instrumentation: Alpha, beta, gamma particle radiations, neutron radiation, different detection methods of radiation |
Microcontroller and PLCs |
|---|
| Architecture and instruction set of 8051 microcontroller, programming concepts of 8051, interfacing peripherals (8255, 8251, and 8257) and applications of 8051 |
| Basics of PLC architecture, instruction set of PLC and PLC ladder diagrams of various applications, basic concepts of SCADA, DDC, DCS, DAS, ROBOT, CNC, data loggers |
Matrices |
|---|
| Definition of matrix, types of matrices, algebra of matrices, transpose of a matrix-symmetric, skew symmetric matrices, minor, cofactor of an element, determinant of a square matrix, properties, Laplace‘s expansion, singular and nonsingular matrices |
| Adjoint and multiplicative inverse of a square matrix, system of linear equations in 3 variables, solutions by Crammer‘s rule, matrix inversion method, Gauss-Jordan method |
| Partial fractions: Resolving a given rational function into partial fractions |
| Logarithms: Definition of logarithm and its properties, meaning of ‘e’ exponential function and logarithmic function |
Trigonometry |
|---|
| Properties of trigonometric functions-ratios of compound angles, multiple angles, submultiple angles,transformations of products into sum or difference and vice versa, simple trigonometric equations,properties of triangles, inverse trigonometric functions |
| Hyperbolic functions |
| Complex numbers: Properties of modulus, amplitude and conjugate of complex numbers, arithmetic operations on complex numbers, modulus, amplitude form (polar form), Euler form (exponential form), properties |
Analytical geometry |
|---|
| Straight lines, different forms of straight lines, distance of a point from a line, acute angle between two lines, intersection of two non-parallel lines and distance between two parallel lines |
| Circles-equation of circle given center and radius, given ends of diameter, general equation, finding center and radius, center and a point on the circumference, 3 non-collinear points, center and tangent |
| Equation of tangent and normal at a point on the circle |
Differentiation and its application |
|---|
| Functions and limits, standard limits, differentiation from the first principle, differentiation of sum, product, quotient of functions, function of function, trigonometric, inverse trigonometric, exponential, logarithmic, hyperbolic functions, |
| Implicit, explicit and parametric functions, derivative of a function with respect to another function, second order derivatives, geometrical applications of the derivative (angle between curves, tangent and normal)-increasing and decreasing functions |
| Maxima and minima (single variable functions) using second order derivative only, partial differentiation, partial derivatives up to second order, Euler‘s theorem |
Integration and its applications |
|---|
| Indefinite integral, standard forms-integration by decomposition of the integrand, integration of trigonometric, algebraic, exponential, logarithmic and hyperbolic functions, integration by substitution |
| Integration of reducible and irreducible quadratic factors, integration by parts, definite integrals and properties, definite integral as the limit of a sum, application of integration to find areas under plane curves and volumes of solids of revolution |
| Mean and RMS values, trapezoidal rule and Simpson’s 1/3 rule for approximation integrals |
Differential equations |
|---|
| Definition of a differential equation, order and degree of a differential equation, formation of differential equations, solution of differential equation of the type first order, first degree, variable-separable, homogeneous equations, exact |
| Linear differential equation of the form dy/ dx+Py=Q, Bernoulli‘s equation |
| nth order linear differential equation with constant coefficients both homogeneous and non-homogeneous and finding the particular integrals for the functions eᵃˣ, sin ax, cos ax, xᵐ (a polynomial of m-th degree m=1, 2) |
Laplace transforms |
|---|
| Laplace transforms (LT) of elementary functions-linearity property, first shifting property, change of scale property multiplication and division by t-LT of derivatives and integrals, unit step function, LT of unit step function, second shifting property |
| Evaluation of improper integrals, inverse Laplace transform (ILT), shifting theorem, change of scale property, multiplication and division by s, ILT by using partial fractions and convolution theorem |
| Applications of LT to solve ordinary differential equations up to second order only |
Fourier series |
|---|
| Define Fourier series, Euler’s formulae over the interval (C, C+2π) for determining the Fourier coefficients |
| Fourier series of simple functions in (0, 2π) and (–π, π) |
| Fourier series for even and odd functions in the interval (–π, π) |
Units and dimensions |
|---|
| Physical quantity, fundamental and derived physical quantities, units, fundamental and derived units, SI units, multiples and sub-multiples in SI units, advantages of SI units, dimensions and dimensional formulae for physical quantities |
| Dimensionless quantities, principle of homogeneity in dimensions, applications and limitations of dimensional analysis |
Modern physics |
|---|
| Photo electric effect, explanation and its laws-applications of photo electric effect (photocell), Einstein’s photoelectric equation, critical angle and total internal reflection, optical fibers-principle, working, types and applications |
| Concept of super conductivity, examples for super conducting materials and applications |
Heat and thermodynamics |
|---|
| Boyle‘s law, absolute scale of temperature, Charles laws, ideal gas equation, universal gas constant and its value, SI units, problems, isothermal process, adiabatic process, first law and second law of thermodynamics, two specific heats of a gas |
| Relation between Cp and Cv-problems |
Elements of vectors |
|---|
| Scalar and vector quantities, examples, types of vectors, addition and subtraction of vectors, triangle law, parallelogram law, expression for magnitude direction in case of parallelogram law, polygon law, resolution of a vector, unit vectors (i,j,k) |
| Dot product and cross product of two vectors, characteristics of dot and cross products-examples, problems |
Kinematics |
|---|
| Equations of motion, acceleration due to gravity, equations of motion under gravity, projectile motion-examples, horizontal and oblique projections, expression for path of projectile in case of oblique projection, expressions for maximum height |
| Time of ascent, time of flight, horizontal range in case of oblique projections-problems |
Friction |
|---|
| Friction, causes and types of friction, normal reaction, laws of friction, coefficients of friction, angle of friction, methods to reduce friction, advantages and disadvantages of friction |
| Expression for acceleration of a body over a rough horizontal surface, expressions for displacement and time taken to come to rest over a rough horizontal surface-problems |
Work, power, and energy |
|---|
| Work, power, and energy-definitions and units, potential and kinetic energies, examples and expressions, work-energy theorem, relation between kinetic energy and momentum, law of conservation of energy in case of freely falling body-problems |
Simple harmonic motion |
|---|
| Definition, conditions of SHM, examples of SHM, expressions for displacement, velocity, acceleration, time period, frequency and phase of SHM, expression for time period of a simple pendulum, laws of simple pendulum, seconds pendulum, problems |
Sound |
|---|
| Sound, longitudinal wave and transverse wave, musical sound and noise, noise pollution, effects and methods to control noise pollution, beats and echo’s and their applications, Doppler effect-explanation, and applications, reverberation time |
| Sabine’s formula, characteristics of a good auditorium-problems |
Properties of matter |
|---|
| Define terms-elasticity, plasticity-stress and strain, units, Hooke’s law-definition of surface tension, examples-explanation on the basis of molecular theory-angle of contact, capillarity and examples-formula for surface tension based on capillarity |
| Viscosity and examples, Newton’s formula for viscosity, Poiseulle’s equation for coefficient for viscosity, effect of temperature on viscosity of liquids and gases-problems |
Electricity and magnetism |
|---|
| Ohm’s law, specific resistance, conductance and their units, state and explain Kirchhoff's laws, expression for balancing condition of Wheat stone’s bridge, concept of meter bridge, Coulomb’s inverse square law in magnetism, magnetic field |
| Magnetic lines of force, magnetic induction field strength and units, moment of couple acting on a bar magnet placed in uniform magnetic field problem |
Fundamentals of chemistry |
|---|
| Atomic structure: Introduction, fundamental particles of an atom, Bohr‘s theory, quantum numbers, Aufbau’s principle, Hund‘s rule, Pauli‘s exclusion principle, electronic configurations of elements up to atomic number 30, shapes of s, p, d orbitals |
| Chemical Bonding: Introduction, types of chemical bonds, ionic bond-NaCl and MgO, characteristics of ionic compounds, covalent bond-H, O, N, characteristics of covalent compounds, coordinate covalent bond-definitions and examples, [NH+], [NHBF] |
| Oxidation-reductions: Electronic concept of oxidation and reduction, oxidation number and its calculations-differences between oxidation number and valency |
Solutions |
|---|
| Introduction, definition of solution, solute and solvent, classification of solutions based on physical state, mole concept, molecular weight, equivalent weight of acids, bases, and salts, molarity, normality and numerical problems |
Acids and bases |
|---|
| Introduction, theories of acids and bases, Arrhenius theory, Bronsted-Lowry theory, Lewis theory, ionic product of water, pH and related numerical problems pertaining to strong acids and bases, definition of buffer, types of buffer |
| Acidic buffer (acetate buffer), basic buffer (ammonia buffer)-applications |
Principles of metallurgy |
|---|
| Characteristics of metals and distinction between metals and non-metals |
| Definitions of metallurgy, ore, gangue, flux, slag, concentration of ore by froth floatation process-roasting, calcination, smelting, alloys, composition and uses of brass, German silver and nichrome |
Electrochemistry |
|---|
| Conductors, metallic and electrolytic conductors, insulators, electrolytes (strong and weak), Arrhenius theory of electrolytic dissociation, electrolysis of fused NaCl, Faraday‘s laws of electrolysis, numerical problems, Galvanic cell |
| Electrode potential, standard electrode potential, electro chemical series, EMF and numerical problems on EMF of a cell |
Corrosion |
|---|
| Introduction, definition of corrosion, factors influencing rate of corrosion, electrochemical theory of corrosion, composition cell, stress cell and concentration cell, rusting of iron and its mechanism |
| Prevention of corrosion by-(a) protective coatings, (b) cathodic protection (sacrificial anode method and impressed voltage method) |
Water technology |
|---|
| Introduction, soft and hard water, causes of hardness, types of hardness, disadvantages of hard water, degree of hardness, units and numerical problems, softening methods, permutit process, ion exchange process, characteristics of drinking water |
| Municipal treatment of water for drinking purpose, osmosis and reverse osmosis, advantages of reverse osmosis |
Polymers |
|---|
| Introduction, polymerization, types of polymerization-addition, condensation polymerization with examples, plastics, types of plastics, advantages of plastics over traditional materials, disadvantages of using plastics |
| Thermo plastics and thermo setting plastics, differences between thermo plastics and thermo stetting plastics, preparation and uses of the following plastics: (i) Polythene, (ii) PVC, (iii) teflon, (iv) polystyrene, (v) urea formaldehyde |
| Preparation and uses of the following plastics: (vi) Bakelite, rubber, natural rubber, processing of rubber from latex, vulcanization, elastomers, butyl rubber, Buna-s, neoprene rubber and their uses |
Fuels |
|---|
| Definition and classification of fuels based on physical state and occurrence, characteristics of good fuel, composition and uses of gaseous fuels-(a) water gas, (b) producer gas, (c) natural gas, (d) coal gas, (e) bio gas, (f) acetylene |
Environmental chemistry |
|---|
| Introduction, environment, lithosphere, hydrosphere, atmosphere biosphere, biotic component, energy component pollutant, receptor, sink, particulate, DO, BOD, threshold limit value, COD-air pollution-causes, effects, forest resources |
| Uses and over exploitation, deforestation, acid rain, green house effect, ozone depletion, control of air pollution, water pollution-causes, effects, control measures, renewable and non renewable energy sources, concept of ecosystem, producers |
| Consumers and decomposers, biodiversity, threats to biodiversity |
Workshop technology, metrology and conventions in drawing |
|---|
| Basis workshop tools and operations (carpentry, fitting, forging, and sheet metal), forging processes and tools, drilling, mechanical working of metals-cold and hot working processes |
| Foundry-pattern types, types of moulding and their properties |
| Metrology-liner and angular measuring devices, measurement of surface roughness, interferometry |
| Conventional representations in machine drawing-production drawing-limits, fits and tolerances-surface finish-specifications of standard components like bolts, nuts, bearings, etc |
Engineering materials and engineering mechanics |
|---|
| Mechanical properties of materials, structure of materials, destructive and non-destructive testing of materials, production of iron and steel |
| Iron carbon equilibrium diagram, heat treatment processes, plain carbon and alloy steels, ferrous and nonferrous metals and alloys, powder metallurgy |
| System of forces, resolution of forces, concept of equilibrium, Lami's theorem, couple, concept of friction, geometrical properties of sections, simple machines, dynamics-impulse momentum equation, D' Alembert's principle |
Strength of materials and CAD/ CAM |
|---|
| Simple stresses and strains, concept of strain energy, shear force and bending moment diagrams, concept of simple bending and deflection of beams, concept of torsion in shafts and springs, thin cylinders |
| Basic components of NC, CNC and DNC machines, CNC part programming, manual and computer assisted, CIMS, FMS, and robotics |
Design of machine elements |
|---|
| Principal stresses, theories of failure, basic link mechanisms, design of bolts, power screws, shafts, keys, couplings, bearings, design of belt, chain and gear drives, flywheels, governors, cams, brakes and clutches |
Production technology |
|---|
| Working and operations of lathe, Capstan and Turret lathes, copying lathes, shaper, slotter, planner and milling machines, broaching machines, welding-equipment used in arc and gas welding |
| Modern welding methods, submerged arc, atomic, hydrogen, CO₂, and ultrasonic welding |
| Cutting fluids, coolants and lubricants, milling and gear making,-grinding machines, surface finishing operations-honing, lapping, super finishing, electro plating, metal spraying, modern machining processes, press tools, jigs, and fixtures |
Thermodynamics |
|---|
| Basic thermodynamics and laws of perfect gases, thermodynamic processes, air standard cycles, fuels and combustion, IC engines-two and four stroke engines, petrol and diesel engines, indicated and brake powers, indicated and brake thermal efficiencies |
Heat power engineering |
|---|
| Air compressors, gas turbines and jet propulsion, properties of steam, working and performance of boilers, steam nozzles, steam turbines-steam condensers |
Hydraulics and pneumatic systems |
|---|
| Properties of fluids, flow of liquids, continuity and Bernoulli’s equation, flow through pipes, impact of jets, hydraulic turbines, governing, working principle and operation of reciprocating and centrifugal pumps, hydraulic and pneumatic circuit devices |
| Air cylinders and hydro pneumatic systems |
Industrial management and engineering, and estimation and costing |
|---|
| Principles and functions of management, organization structures, production and materials management, marketing, sales and feasibility study, entrepreneurial development, principles of ISO 9000, inspection and statistical quality control |
| Fundamentals of estimation and costing |
| Work study and method study |
Refrigeration and air conditioning, and energy sources and power plant engineering |
|---|
| Fundamentals of refrigeration and air conditioning, vapour compression and vapour absorption refrigeration systems |
| Methods of refrigeration |
| Refrigerants, refrigeration equipment and applications, refrigerant leak detection methods, psychometry |
| Concept of renewable sources of energy-solar, wind, bio, tidal |
| Thermal and nuclear power plant |
Matrices |
|---|
| Definition of matrix, types of matrices, algebra of matrices, transpose of a matrix-symmetric, skew symmetric matrices, minor, cofactor of an element, determinant of a square matrix, properties, Laplace‘s expansion, singular and nonsingular matrices |
| Adjoint and multiplicative inverse of a square matrix, system of linear equations in 3 variables, solutions by Crammer‘s rule, matrix inversion method, Gauss-Jordan method |
| Partial fractions: Resolving a given rational function into partial fractions |
| Logarithms: Definition of logarithm and its properties, meaning of ‘e’ exponential function and logarithmic function |
Trigonometry |
|---|
| Properties of trigonometric functions-ratios of compound angles, multiple angles, submultiple angles,transformations of products into sum or difference and vice versa, simple trigonometric equations,properties of triangles, inverse trigonometric functions |
| Hyperbolic functions |
| Complex numbers: Properties of modulus, amplitude and conjugate of complex numbers, arithmetic operations on complex numbers, modulus, amplitude form (polar form), Euler form (exponential form), properties |
Analytical geometry |
|---|
| Straight lines, different forms of straight lines, distance of a point from a line, acute angle between two lines, intersection of two non-parallel lines and distance between two parallel lines |
| Circles-equation of circle given center and radius, given ends of diameter, general equation, finding center and radius, center and a point on the circumference, 3 non-collinear points, center and tangent |
| Equation of tangent and normal at a point on the circle |
Differentiation and its application |
|---|
| Functions and limits, standard limits, differentiation from the first principle, differentiation of sum, product, quotient of functions, function of function, trigonometric, inverse trigonometric, exponential, logarithmic, hyperbolic functions, |
| Implicit, explicit and parametric functions, derivative of a function with respect to another function, second order derivatives, geometrical applications of the derivative (angle between curves, tangent and normal)-increasing and decreasing functions |
| Maxima and minima (single variable functions) using second order derivative only, partial differentiation, partial derivatives up to second order, Euler‘s theorem |
Integration and its applications |
|---|
| Indefinite integral, standard forms-integration by decomposition of the integrand, integration of trigonometric, algebraic, exponential, logarithmic and hyperbolic functions, integration by substitution |
| Integration of reducible and irreducible quadratic factors, integration by parts, definite integrals and properties, definite integral as the limit of a sum, application of integration to find areas under plane curves and volumes of solids of revolution |
| Mean and RMS values, trapezoidal rule and Simpson’s 1/3 rule for approximation integrals |
Differential equations |
|---|
| Definition of a differential equation, order and degree of a differential equation, formation of differential equations, solution of differential equation of the type first order, first degree, variable-separable, homogeneous equations, exact |
| Linear differential equation of the form dy/ dx+Py=Q, Bernoulli‘s equation |
| nth order linear differential equation with constant coefficients both homogeneous and non-homogeneous and finding the particular integrals for the functions eᵃˣ, sin ax, cos ax, xᵐ (a polynomial of m-th degree m=1, 2) |
Laplace transforms |
|---|
| Laplace transforms (LT) of elementary functions-linearity property, first shifting property, change of scale property multiplication and division by t-LT of derivatives and integrals, unit step function, LT of unit step function, second shifting property |
| Evaluation of improper integrals, inverse Laplace transform (ILT), shifting theorem, change of scale property, multiplication and division by s, ILT by using partial fractions and convolution theorem |
| Applications of LT to solve ordinary differential equations up to second order only |
Fourier series |
|---|
| Define Fourier series, Euler’s formulae over the interval (C, C+2π) for determining the Fourier coefficients |
| Fourier series of simple functions in (0, 2π) and (–π, π) |
| Fourier series for even and odd functions in the interval (–π, π) |
Units and dimensions |
|---|
| Physical quantity, fundamental and derived physical quantities, units, fundamental and derived units, SI units, multiples and sub-multiples in SI units, advantages of SI units, dimensions and dimensional formulae for physical quantities |
| Dimensionless quantities, principle of homogeneity in dimensions, applications and limitations of dimensional analysis |
Modern physics |
|---|
| Photo electric effect, explanation and its laws-applications of photo electric effect (photocell), Einstein’s photoelectric equation, critical angle and total internal reflection, optical fibers-principle, working, types and applications |
| Concept of super conductivity, examples for super conducting materials and applications |
Heat and thermodynamics |
|---|
| Boyle‘s law, absolute scale of temperature, Charles laws, ideal gas equation, universal gas constant and its value, SI units, problems, isothermal process, adiabatic process, first law and second law of thermodynamics, two specific heats of a gas |
| Relation between Cp and Cv-problems |
Elements of vectors |
|---|
| Scalar and vector quantities, examples, types of vectors, addition and subtraction of vectors, triangle law, parallelogram law, expression for magnitude direction in case of parallelogram law, polygon law, resolution of a vector, unit vectors (i,j,k) |
| Dot product and cross product of two vectors, characteristics of dot and cross products-examples, problems |
Kinematics |
|---|
| Equations of motion, acceleration due to gravity, equations of motion under gravity, projectile motion-examples, horizontal and oblique projections, expression for path of projectile in case of oblique projection, expressions for maximum height |
| Time of ascent, time of flight, horizontal range in case of oblique projections-problems |
Friction |
|---|
| Friction, causes and types of friction, normal reaction, laws of friction, coefficients of friction, angle of friction, methods to reduce friction, advantages and disadvantages of friction |
| Expression for acceleration of a body over a rough horizontal surface, expressions for displacement and time taken to come to rest over a rough horizontal surface-problems |
Work, power, and energy |
|---|
| Work, power, and energy-definitions and units, potential and kinetic energies, examples and expressions, work-energy theorem, relation between kinetic energy and momentum, law of conservation of energy in case of freely falling body-problems |
Simple harmonic motion |
|---|
| Definition, conditions of SHM, examples of SHM, expressions for displacement, velocity, acceleration, time period, frequency and phase of SHM, expression for time period of a simple pendulum, laws of simple pendulum, seconds pendulum, problems |
Sound |
|---|
| Sound, longitudinal wave and transverse wave, musical sound and noise, noise pollution, effects and methods to control noise pollution, beats and echo’s and their applications, Doppler effect-explanation, and applications, reverberation time |
| Sabine’s formula, characteristics of a good auditorium-problems |
Properties of matter |
|---|
| Define terms-elasticity, plasticity-stress and strain, units, Hooke’s law-definition of surface tension, examples-explanation on the basis of molecular theory-angle of contact, capillarity and examples-formula for surface tension based on capillarity |
| Viscosity and examples, Newton’s formula for viscosity, Poiseulle’s equation for coefficient for viscosity, effect of temperature on viscosity of liquids and gases-problems |
Electricity and magnetism |
|---|
| Ohm’s law, specific resistance, conductance and their units, state and explain Kirchhoff's laws, expression for balancing condition of Wheat stone’s bridge, concept of meter bridge, Coulomb’s inverse square law in magnetism, magnetic field |
| Magnetic lines of force, magnetic induction field strength and units, moment of couple acting on a bar magnet placed in uniform magnetic field problem |
Fundamentals of chemistry |
|---|
| Atomic structure: Introduction, fundamental particles of an atom, Bohr‘s theory, quantum numbers, Aufbau’s principle, Hund‘s rule, Pauli‘s exclusion principle, electronic configurations of elements up to atomic number 30, shapes of s, p, d orbitals |
| Chemical Bonding: Introduction, types of chemical bonds, ionic bond-NaCl and MgO, characteristics of ionic compounds, covalent bond-H, O, N, characteristics of covalent compounds, coordinate covalent bond-definitions and examples, [NH+], [NHBF] |
| Oxidation-reductions: Electronic concept of oxidation and reduction, oxidation number and its calculations-differences between oxidation number and valency |
Solutions |
|---|
| Introduction, definition of solution, solute and solvent, classification of solutions based on physical state, mole concept, molecular weight, equivalent weight of acids, bases, and salts, molarity, normality and numerical problems |
Acids and bases |
|---|
| Introduction, theories of acids and bases, Arrhenius theory, Bronsted-Lowry theory, Lewis theory, ionic product of water, pH and related numerical problems pertaining to strong acids and bases, definition of buffer, types of buffer |
| Acidic buffer (acetate buffer), basic buffer (ammonia buffer)-applications |
Principles of metallurgy |
|---|
| Characteristics of metals and distinction between metals and non-metals |
| Definitions of metallurgy, ore, gangue, flux, slag, concentration of ore by froth floatation process-roasting, calcination, smelting, alloys, composition and uses of brass, German silver and nichrome |
Electrochemistry |
|---|
| Conductors, metallic and electrolytic conductors, insulators, electrolytes (strong and weak), Arrhenius theory of electrolytic dissociation, electrolysis of fused NaCl, Faraday‘s laws of electrolysis, numerical problems, Galvanic cell |
| Electrode potential, standard electrode potential, electro chemical series, EMF and numerical problems on EMF of a cell |
Corrosion |
|---|
| Introduction, definition of corrosion, factors influencing rate of corrosion, electrochemical theory of corrosion, composition cell, stress cell and concentration cell, rusting of iron and its mechanism |
| Prevention of corrosion by-(a) protective coatings, (b) cathodic protection (sacrificial anode method and impressed voltage method) |
Water technology |
|---|
| Introduction, soft and hard water, causes of hardness, types of hardness, disadvantages of hard water, degree of hardness, units and numerical problems, softening methods, permutit process, ion exchange process, characteristics of drinking water |
| Municipal treatment of water for drinking purpose, osmosis and reverse osmosis, advantages of reverse osmosis |
Polymers |
|---|
| Introduction, polymerization, types of polymerization-addition, condensation polymerization with examples, plastics, types of plastics, advantages of plastics over traditional materials, disadvantages of using plastics |
| Thermo plastics and thermo setting plastics, differences between thermo plastics and thermo stetting plastics, preparation and uses of the following plastics: (i) Polythene, (ii) PVC, (iii) teflon, (iv) polystyrene, (v) urea formaldehyde |
| Preparation and uses of the following plastics: (vi) Bakelite, rubber, natural rubber, processing of rubber from latex, vulcanization, elastomers, butyl rubber, Buna-s, neoprene rubber and their uses |
Fuels |
|---|
| Definition and classification of fuels based on physical state and occurrence, characteristics of good fuel, composition and uses of gaseous fuels-(a) water gas, (b) producer gas, (c) natural gas, (d) coal gas, (e) bio gas, (f) acetylene |
Environmental chemistry |
|---|
| Introduction, environment, lithosphere, hydrosphere, atmosphere biosphere, biotic component, energy component pollutant, receptor, sink, particulate, DO, BOD, threshold limit value, COD-air pollution-causes, effects, forest resources |
| Uses and over exploitation, deforestation, acid rain, green house effect, ozone depletion, control of air pollution, water pollution-causes, effects, control measures, renewable and non renewable energy sources, concept of ecosystem, producers |
| Consumers and decomposers, biodiversity, threats to biodiversity |
Elementary principles of metallurgy |
|---|
| Introduction to metallurgy, ores and ore dressing, methods of ore sampling-communition, sizing, concentration |
| Principles and processes of pyro, hydro and electrometallurgy, minerals of commercially important metals |
Fuels, refractories, and pyrometry |
|---|
| Classification of solid, liquid, and gaseous fuels, testing and properties of important fuels, manufacture and characteristics of metallurgical coke, gasification of solid fuels, combustion of fuels-properties, manufacture and selection of refractories |
| Principles and operation of important pyrometers, heat transfer |
Metallurgical thermodynamics |
|---|
| Introduction and applications of thermodynamics, first law of thermodynamics, thermo chemistry, second law of thermodynamics, Ellingham diagrams, fugacity, activity and equilibrium constant, phase equilibria, solutions |
| Fundamentals of reaction kinetics |
Physical metallurgy |
|---|
| Structure of metals and alloys, solidification, binary thermal equilibrium diagrams, iron-carbon diagram, important non-ferrous binary alloy systems, microscopic and macroscopic examination of metals and alloys |
Heat treatment technology |
|---|
| Heat treatment of plain carbon steels-annealing, normalizing, hardening and tempering of steels, TTT diagrams, hardenability, grain size, quenching media |
| Alloy steels and effect of alloying elements on plain carbon steels, stainless steels, tool steels-case hardening techniques |
| Special heat treatment techniques such as austempering, martempering, sub-zero treatment, heat treatment of non-ferrous metals and alloys, age hardening, heat treatment furnaces and furnace atmospheres, heat treatment defects |
Ferrous extractive metallurgy |
|---|
| Iron ores and preparation of iron ores, burden distribution, blast furnace profile, blast furnace plant and equipment, blast furnace reactions, irregularities and recent trends, sponge iron and methods of production, ferro alloys-types and applications |
| Steel making by Bessemer, LD, Kaldo, oxygen lime (LDAC) process, open hearth and electric furnaces, secondary steel making process, vacuum treatment of liquid steel, ingot defects, continuous casting |
Non-ferrous extractive metallurgy |
|---|
| Extraction of copper, pyro and hydrometallurgical methods and refining, aluminum-extraction, anode effect, refining-zinc and lead-pyro and hydrometallurgical extraction and refining |
| Extraction of magnesium by dows and pidgeon processes, extraction of titanium by Kroll‘s process, refining of titanium by Van Arkell‘s process, extraction of thorium and zirconium |
Material testing |
|---|
| Tension test |
| Stress-strain relationships, necking phenomenon |
| Hardness tests-principles and types |
| Impact testing-notched bar impact tests |
| Transition temperature |
| Fatigue, stress cycles, S-N diagram, factors affecting fatigue |
| Creep testing-creep curve, stress-rupture test |
| Non-destructive testing-principles, methods and applications of liquid penetrant, radiography, ultrasonic magnetic particle and eddy current test |
Mechanical metallurgy |
|---|
| Plastic deformation of metals, lattice defects, slip and twinning, CRSS, strengthening mechanisms |
| Strain hardening, hot and cold working-recovery, recrystallisation and grain growth |
| Metal forming processes-rolling, forging, extrusion and sheet metal forming processes and defects |
Foundry technology |
|---|
| Patterns: Types, materials and pattern allowances, moulding sands-properties and testing, moulding processes and equipment: Sand casting, die casting, shell moulding, centrifugal casting, investment casting and CO2 processs |
| Cores: Types of cores and properties, pouring and feeding of castings |
| Cast irons-types, melting of cast irons, Grey, S.G and malleable iron |
| Aluminum, copper, and steel foundry practices |
| Defects in castings |
| Cleaning and salvage of castings |
Welding technology |
|---|
| Basic concepts of welding, principles and processes of various welding techniques such as oxy-acetylene, shield arc welding, inert gas welding-tig and mig-special welding processes-plasma, resistance, electro slag, electron beam, thermit and laser |
| Soldering and brazing, weld ability, factors affecting weld ability, heat affected zone, microstructure-post weld treatments, welding defects-inspection and testing |
Matrices |
|---|
| Definition of matrix, types of matrices, algebra of matrices, transpose of a matrix-symmetric, skew symmetric matrices, minor, cofactor of an element, determinant of a square matrix, properties, Laplace‘s expansion, singular and nonsingular matrices |
| Adjoint and multiplicative inverse of a square matrix, system of linear equations in 3 variables, solutions by Crammer‘s rule, matrix inversion method, Gauss-Jordan method |
| Partial fractions: Resolving a given rational function into partial fractions |
| Logarithms: Definition of logarithm and its properties, meaning of ‘e’ exponential function and logarithmic function |
Trigonometry |
|---|
| Properties of trigonometric functions-ratios of compound angles, multiple angles, submultiple angles,transformations of products into sum or difference and vice versa, simple trigonometric equations,properties of triangles, inverse trigonometric functions |
| Hyperbolic functions |
| Complex numbers: Properties of modulus, amplitude and conjugate of complex numbers, arithmetic operations on complex numbers, modulus, amplitude form (polar form), Euler form (exponential form), properties |
Analytical geometry |
|---|
| Straight lines, different forms of straight lines, distance of a point from a line, acute angle between two lines, intersection of two non-parallel lines and distance between two parallel lines |
| Circles-equation of circle given center and radius, given ends of diameter, general equation, finding center and radius, center and a point on the circumference, 3 non-collinear points, center and tangent |
| Equation of tangent and normal at a point on the circle |
Differentiation and its application |
|---|
| Functions and limits, standard limits, differentiation from the first principle, differentiation of sum, product, quotient of functions, function of function, trigonometric, inverse trigonometric, exponential, logarithmic, hyperbolic functions, |
| Implicit, explicit and parametric functions, derivative of a function with respect to another function, second order derivatives, geometrical applications of the derivative (angle between curves, tangent and normal)-increasing and decreasing functions |
| Maxima and minima (single variable functions) using second order derivative only, partial differentiation, partial derivatives up to second order, Euler‘s theorem |
Integration and its applications |
|---|
| Indefinite integral, standard forms-integration by decomposition of the integrand, integration of trigonometric, algebraic, exponential, logarithmic and hyperbolic functions, integration by substitution |
| Integration of reducible and irreducible quadratic factors, integration by parts, definite integrals and properties, definite integral as the limit of a sum, application of integration to find areas under plane curves and volumes of solids of revolution |
| Mean and RMS values, trapezoidal rule and Simpson’s 1/3 rule for approximation integrals |
Differential equations |
|---|
| Definition of a differential equation, order and degree of a differential equation, formation of differential equations, solution of differential equation of the type first order, first degree, variable-separable, homogeneous equations, exact |
| Linear differential equation of the form dy/ dx+Py=Q, Bernoulli‘s equation |
| nth order linear differential equation with constant coefficients both homogeneous and non-homogeneous and finding the particular integrals for the functions eᵃˣ, sin ax, cos ax, xᵐ (a polynomial of m-th degree m=1, 2) |
Laplace transforms |
|---|
| Laplace transforms (LT) of elementary functions-linearity property, first shifting property, change of scale property multiplication and division by t-LT of derivatives and integrals, unit step function, LT of unit step function, second shifting property |
| Evaluation of improper integrals, inverse Laplace transform (ILT), shifting theorem, change of scale property, multiplication and division by s, ILT by using partial fractions and convolution theorem |
| Applications of LT to solve ordinary differential equations up to second order only |
Fourier series |
|---|
| Define Fourier series, Euler’s formulae over the interval (C, C+2π) for determining the Fourier coefficients |
| Fourier series of simple functions in (0, 2π) and (–π, π) |
| Fourier series for even and odd functions in the interval (–π, π) |
Units and dimensions |
|---|
| Physical quantity, fundamental and derived physical quantities, units, fundamental and derived units, SI units, multiples and sub-multiples in SI units, advantages of SI units, dimensions and dimensional formulae for physical quantities |
| Dimensionless quantities, principle of homogeneity in dimensions, applications and limitations of dimensional analysis |
Modern physics |
|---|
| Photo electric effect, explanation and its laws-applications of photo electric effect (photocell), Einstein’s photoelectric equation, critical angle and total internal reflection, optical fibers-principle, working, types and applications |
| Concept of super conductivity, examples for super conducting materials and applications |
Heat and thermodynamics |
|---|
| Boyle‘s law, absolute scale of temperature, Charles laws, ideal gas equation, universal gas constant and its value, SI units, problems, isothermal process, adiabatic process, first law and second law of thermodynamics, two specific heats of a gas |
| Relation between Cp and Cv-problems |
Elements of vectors |
|---|
| Scalar and vector quantities, examples, types of vectors, addition and subtraction of vectors, triangle law, parallelogram law, expression for magnitude direction in case of parallelogram law, polygon law, resolution of a vector, unit vectors (i,j,k) |
| Dot product and cross product of two vectors, characteristics of dot and cross products-examples, problems |
Kinematics |
|---|
| Equations of motion, acceleration due to gravity, equations of motion under gravity, projectile motion-examples, horizontal and oblique projections, expression for path of projectile in case of oblique projection, expressions for maximum height |
| Time of ascent, time of flight, horizontal range in case of oblique projections-problems |
Friction |
|---|
| Friction, causes and types of friction, normal reaction, laws of friction, coefficients of friction, angle of friction, methods to reduce friction, advantages and disadvantages of friction |
| Expression for acceleration of a body over a rough horizontal surface, expressions for displacement and time taken to come to rest over a rough horizontal surface-problems |
Work, power, and energy |
|---|
| Work, power, and energy-definitions and units, potential and kinetic energies, examples and expressions, work-energy theorem, relation between kinetic energy and momentum, law of conservation of energy in case of freely falling body-problems |
Simple harmonic motion |
|---|
| Definition, conditions of SHM, examples of SHM, expressions for displacement, velocity, acceleration, time period, frequency and phase of SHM, expression for time period of a simple pendulum, laws of simple pendulum, seconds pendulum, problems |
Sound |
|---|
| Sound, longitudinal wave and transverse wave, musical sound and noise, noise pollution, effects and methods to control noise pollution, beats and echo’s and their applications, Doppler effect-explanation, and applications, reverberation time |
| Sabine’s formula, characteristics of a good auditorium-problems |
Properties of matter |
|---|
| Define terms-elasticity, plasticity-stress and strain, units, Hooke’s law-definition of surface tension, examples-explanation on the basis of molecular theory-angle of contact, capillarity and examples-formula for surface tension based on capillarity |
| Viscosity and examples, Newton’s formula for viscosity, Poiseulle’s equation for coefficient for viscosity, effect of temperature on viscosity of liquids and gases-problems |
Electricity and magnetism |
|---|
| Ohm’s law, specific resistance, conductance and their units, state and explain Kirchhoff's laws, expression for balancing condition of Wheat stone’s bridge, concept of meter bridge, Coulomb’s inverse square law in magnetism, magnetic field |
| Magnetic lines of force, magnetic induction field strength and units, moment of couple acting on a bar magnet placed in uniform magnetic field problem |
Fundamentals of chemistry |
|---|
| Atomic structure: Introduction, fundamental particles of an atom, Bohr‘s theory, quantum numbers, Aufbau’s principle, Hund‘s rule, Pauli‘s exclusion principle, electronic configurations of elements up to atomic number 30, shapes of s, p, d orbitals |
| Chemical Bonding: Introduction, types of chemical bonds, ionic bond-NaCl and MgO, characteristics of ionic compounds, covalent bond-H, O, N, characteristics of covalent compounds, coordinate covalent bond-definitions and examples, [NH+], [NHBF] |
| Oxidation-reductions: Electronic concept of oxidation and reduction, oxidation number and its calculations-differences between oxidation number and valency |
Solutions |
|---|
| Introduction, definition of solution, solute and solvent, classification of solutions based on physical state, mole concept, molecular weight, equivalent weight of acids, bases, and salts, molarity, normality and numerical problems |
Acids and bases |
|---|
| Introduction, theories of acids and bases, Arrhenius theory, Bronsted-Lowry theory, Lewis theory, ionic product of water, pH and related numerical problems pertaining to strong acids and bases, definition of buffer, types of buffer |
| Acidic buffer (acetate buffer), basic buffer (ammonia buffer)-applications |
Principles of metallurgy |
|---|
| Characteristics of metals and distinction between metals and non-metals |
| Definitions of metallurgy, ore, gangue, flux, slag, concentration of ore by froth floatation process-roasting, calcination, smelting, alloys, composition and uses of brass, German silver and nichrome |
Electrochemistry |
|---|
| Conductors, metallic and electrolytic conductors, insulators, electrolytes (strong and weak), Arrhenius theory of electrolytic dissociation, electrolysis of fused NaCl, Faraday‘s laws of electrolysis, numerical problems, Galvanic cell |
| Electrode potential, standard electrode potential, electro chemical series, EMF and numerical problems on EMF of a cell |
Corrosion |
|---|
| Introduction, definition of corrosion, factors influencing rate of corrosion, electrochemical theory of corrosion, composition cell, stress cell and concentration cell, rusting of iron and its mechanism |
| Prevention of corrosion by-(a) protective coatings, (b) cathodic protection (sacrificial anode method and impressed voltage method) |
Water technology |
|---|
| Introduction, soft and hard water, causes of hardness, types of hardness, disadvantages of hard water, degree of hardness, units and numerical problems, softening methods, permutit process, ion exchange process, characteristics of drinking water |
| Municipal treatment of water for drinking purpose, osmosis and reverse osmosis, advantages of reverse osmosis |
Polymers |
|---|
| Introduction, polymerization, types of polymerization-addition, condensation polymerization with examples, plastics, types of plastics, advantages of plastics over traditional materials, disadvantages of using plastics |
| Thermo plastics and thermo setting plastics, differences between thermo plastics and thermo stetting plastics, preparation and uses of the following plastics: (i) Polythene, (ii) PVC, (iii) teflon, (iv) polystyrene, (v) urea formaldehyde |
| Preparation and uses of the following plastics: (vi) Bakelite, rubber, natural rubber, processing of rubber from latex, vulcanization, elastomers, butyl rubber, Buna-s, neoprene rubber and their uses |
Fuels |
|---|
| Definition and classification of fuels based on physical state and occurrence, characteristics of good fuel, composition and uses of gaseous fuels-(a) water gas, (b) producer gas, (c) natural gas, (d) coal gas, (e) bio gas, (f) acetylene |
Environmental chemistry |
|---|
| Introduction, environment, lithosphere, hydrosphere, atmosphere biosphere, biotic component, energy component pollutant, receptor, sink, particulate, DO, BOD, threshold limit value, COD-air pollution-causes, effects, forest resources |
| Uses and over exploitation, deforestation, acid rain, green house effect, ozone depletion, control of air pollution, water pollution-causes, effects, control measures, renewable and non renewable energy sources, concept of ecosystem, producers |
| Consumers and decomposers, biodiversity, threats to biodiversity |
Elements of mining |
|---|
| Definitions of terms, mineral based industries, mining operations, modes of entry, shaft, incline, adit-applicable conditions, mining methods used in coal and non coal mining, classification of the mineral deposits based on various factors |
| Classification of coal seams based on various factors |
| Classification of methods of working-U/G Coal, OCM and metal mining, bore (drill) holes uses, classification and various tools used in boring (drilling), feed mechanism, core recovery, deviation of boreholes |
| Explosives-characteristics, classification, composition, properties, different explosives used in U/G, OCM, metal and coal mines, selection of explosives and initiation of explosives, detonators-types, blasting practice in mines-terms, tools |
| Sequence of shot firing, drill patterns types, misfires, blown out shots, sockets, treatment of misfires dangers associated with underground blasting, precautions to be taken before and after blasting |
| Simple problems on powder factor yield/ kg of explosives, drill bits, drill-water conditioning, fuse, electric blasting |
| Mine gases-types, physical and chemical properties, physiological effects and occurrence, flame safety lamp-purpose, principle constructional details of bottom, top feed types, method of heat transfer, accumulation and percentage test, different detectors |
| Shaft sinking methods, sinking through normal strata, special methods of shaft sinking pilling, drop shaft method, widening and deepening-modern trends, cementation, freezing method |
| Temporary, permanent lining of shafts |
| Support-necessity, classifications, materials used for supports, classification of supporting system application of various types of supports in coal by metal mining, size-shape of supports, principle of roof bolting, stitching |
| Merits and demerits of bolting, rigid-yielding props-construction details, friction, hydraulic supports, method of setting, load yield characteristics, fore poling, safari supports, junction supports, clearance of heavy roof fall |
| Systematic supporting rules, withdrawal of support problems on load bearing capacity of friction props, factor safety roof bolts |
Mining geology |
|---|
| Definition of the term geology, scope, uses of geology in mining field, branches of geology, age of the earth, origin of the earth-nebular hypothesis of kant and laplace, physical geology, internal structure of earth, weathering, erosion, denudation |
| Attrition, abrasion, earthquakes, its propagation, intensity, causes and effects of earthquakes |
| Volcanoes and its classification, mineralogy-physical characteristics of minerals, important mineral families, industrial uses of important minerals; occurrence and distribution in Telangana and India |
| Petrology-classification of rocks and its characteristics, structures and textures |
| Structural geology, folds, faults, joints, unconformities |
| Geological time scale, major stratigraphical divisions of india, physio-graphic divisions of india, economic geology-terms, processes of mineralization and important economic minerals formed by these processes |
| Geological prospecting-objectives, guidelines for location of mineral deposits in fields, methods of prospecting |
| Gis and remote sensing concepts |
| Coal geology-periods of coal formation, stages of coal formation, origin of coal seams, drift and in-situ theories, structural features of coal seams, distribution of coal seam in India and Telangana state |
| Petroleum geology-origin, migrations, and accumulations, distribution of oil fields in World and India |
Methods of working coal |
|---|
| Methods of working bord and pillar-applicability, merits, demerits, different terms, stages of development and deplillaring-panel system, types, applicability, factors influencing this size of panel, general considerations |
| Number of opening of panel-merits, demerits, factors governing the selection of the development method, opening of districts, different methods of development systems, along dip along strike, cross cuts |
| Steeply dipping seems loading machines and continuous miners, blasting of solids, different conveyers, coal cutting machines LHD, SDL depillaring-terms, classification, planning, preparation arrangements, sequence of operations |
| Pillar extraction under week roof mechanized method of pillar extractions by LHD, SDL, conveyor systems-size ,shape of pillar, ribs-local fall, main fall, air blast, dangers precautions, stowing, methods conditions for adoption of stowing, H/L ratio |
| Preparatory arrangements for stowing, stowing panel, danger and precautions while working below goafed areas, contiguous seams extractions precautions against fire during and after depillaring long wall mining |
| Drivage of road ways by drill blast, by manual loading, by gathering arm loader, by road header, dint header, continuous miner, long wall advancing-applicability, merits, demerits, limitations, comparison between long wall retreating and advancing |
| Machinery employed, continuous mining method, factors governing length of long wall face, layout conventional long wall face, advancing with caving and stowing, layouts of mechanized long wall face |
| Advancing with caving and stowing comparison with bord and pillar, production calculation, long wall retreating method-applicability, layout of mechanized/ conventional long wall with caving and stowing, layout of long wall face with shearer |
| Methods of sumping, method of push, salvaging, productions calculations, blasting gallery method-applicability, merits, demerits, limitations, drilling, blasting pattern, loading operations, supporting, spacers |
| Precautionary measures at goaf edge line development of BG panel, mechanized layout of BG panel, production calculations thin seem mining, applicable condition of plough, method of working uni-directional, bi-directional method, over passing |
| Types of coal ploughs, cutting operations plough, thick seam mining by slicing-difficulties, methods, applicability inclined slicing, horizontal slicing, with caving and stowing-blasting gallery, sublevel caving with mechanized long wall |
| Horizon mining-merits, demerits, applicability, limitations, hydraulic mining-applicability, merits and demerits, hydraulic breaking of coal, transport, layout of hydraulic mining in moderately thick and steep seems |
| Gasification of coal applicability-merits, demerits, principle of gasification, opening of coal seems with gasification, linkages bore holes in gasification of coal, stowing practice in mines, subsidences |
| Subsidence survey, its effects and remedial measures, surface mining-definitions, different forms, geo mining situations, major coal and metal opencast-limitations, merits and demerits, different terminology with sketches |
| Stages of surface mining-equipment, machinery for preparing ground, dozed scraper, ripper, road grader, road rollers, classifications of dozer, components-functions, operations-classification of rippers |
| Road grader main components functions and operations, classification of road roller, components functions and operations-drilling and OC mines-classification of drill host, vertical and inclined drilling-merits, demerits, various parameters |
| Drill parameters-application, estimation of charges for blasting round of holes, blasting tools, shot firing procedure-patterns, blasting techniques-transportation, storage, Charging of bulk explosives, use of NONELS, electronic detonators |
| Boosters firing procedure, use of bulk explosives, control blasting techniques-applicability, conditions for adopting sleeping hole, secondary blasting techniques, dangers due blasting in OC mines preventive measures, OC machinery-selection |
| Classification of HEMM-application, excavators used in open cast mines, all types of excavators, shovel, dragline, BWE, surface miner applicability’s merits-demerits, etc, all types of transport system in opencast mines-dumpers, belt conveyors, rail |
| All types of transport system in opencast mines-pipeline, high angle conveyor-types, merits, demerits, applicable condition of inpit crusher technology spreaders-working, slope stability in OC benches-factors, terms, simple problems |
| Slope failures-types, preventive measures of slope failure, problems on factor of safety of bench slope, various layout of opencast mines, design factors of layout, different combinations layout, shovel dumper, drag line, surface miner |
| Bucket wheel excavator, impact on environmental and ecology in OC mines-terms, various pollutions-causes, preventive measures, relationship between ecology and environment, BOD methods, calculations of BOD, EIA, EMP, land reclamation |
Methods of working metal |
|---|
| Definitions, calcification of mineral deposits, comparison between coal and non coal, development of mineral deposits, levels, sublevels, winzes and raises, etc, handling waste rock and mineral, drilling and blasting, arrangement for loading |
| Conventional and mechanized methods of raising-merits, demerits, method of raising of all raising methods TBM, drivage in metal mines, winzes-raises merits, demerits, various stopping methods, classification selection of stopping methods, breast |
| Under hand, overhand, open strokes, filled, shrinkage cut and fill, sublevel, block caving, top slicing, VCR, ring hole drill, square set, stopping methods-merits, demerits, limitations, sampling-classification of sampling methods |
| Reduction of samples, salting preventive measures, assaying, assaying plans, valuation of mines, problems associated with deep mining |
| Rock mechanics-concepts ground forces, stress distribution in underground properties of rocks, rock indices, geo-mechanical properties of rocks and methods of determination |
| Failure of rocks theories of rock movements and strata control and ground subsidence and related terms of mine subsidence, ore dressing, necessity, processing, advantages coal cleaning and mineral processing, comminution |
| Objectives classification of process law of comminution, principles of crushing, classification of crushing operation, types of crushes, grinding mills etc,industrial sizing methods definitions etc, concentration techniques, etc, clean coal technology |
Mine environmental engineering-I |
|---|
| Ventilation-purpose, types, systems of ventilation, down cast, up cast shaft, natural ventilation, factors influence NV definition of NVP, motive column, derivation applications, calculation of NVP and mechanical ventilation, classification of centrifugal |
| Axial flow fans principle and construction details distribution of mine air, ventilation devices, construction location and application |
| Auxiliary ventilation, booster ventilation, homotropal, anti-tropal systems |
| Laws of mine air friction, equivalent orifice of a mine, numerical problems, laws relative to passage of mine air, Atkinson’s and modified Atkinsons equations, relation between pressure resistance, formulas, splitting of air current |
| Laws of mechanical ventilations, determination of fan efficiency, ventilation survey-quality, quantity, pressure surveys, cooling power mine, Kata factor, Kata thermometer |
| Gas detectors-types, uses, application, principles, determination percentage of gases using conventional methods and using latest detectors |
Mine environmental engineering-II |
|---|
| Mine fires, classification, causes, preventive measures, spontaneous heating of coal, different methods of dealing with fires, collection of air samples and interpretation of mine air samples, ventilation survey, types, instruments |
| Mine explosions-types, fire damp explosions, causes and preventive measures, coal dust explosions, causes and preventive measures, treating coal dust, dust barriers, water barriers, methane drainage mine inundation dangers |
| Precautions in water logged areas burn side safety boring operates, inundation in mines, its causes, precautions, design of dams |
| Gas detectors user’s principles, remote sensing devices, continues recorders, monitors warm blooded birds |
| Continuous monitoring mine lighting, monitoring a velocity, quantity, tele-monitoring, merits-demerits, purpose, lighting |
| Method and standards of lighting places to be illuminated in open cast and under ground mines and solve numerical problems on illumination |
| Miners diseases, causes and preventive measures, symptoms, treatment of jaundice, Ankylostomiasis-nystagemus, pneumoconiosis, asbestosis, silicosis, sidirosis, manganese poisoning-lead poisoning, chromium poisoning, radio-active minerals |
| Pollution and control methods, rescue and recovery operations-definitions, rescue apparatus-photo mark IV, principle, functions, tests, care and maintenance smoke helmet-purpose, construction details-gas mask-purpose, construction details, functions |
| Self rescues purpose-functions, construction details, rescue station, organization, water rescue and recovery |
Mine surveying |
|---|
| Definitions, principles, classifications, measurement of distances, various instruments used in surveying, chain survey, fundamentals of compass survey, limitation of various and subsidence-purpose, purpose of HFL, contouring methods |
| Interpolation theodolite, surveying methods, various methods of leveling, types of levels, instruments, adjustments, computations, curvature, refraction, reciprocal leveling-merits, applicability, problems, permissible error, contouring terminology |
| Fundamental lines-types, adjustments, measuring of angels, traversing and computations, permissible error, distribution calculation of latitude and departure-problems, rectangle coordinators calculations of areas, Bowditch rules, setting out curves, types |
| Definition, classification, method of setting, curves, simple problems, correlation survey-purpose, methods, simple problems, tachometric survey-principles, systems, methods problems, dip, strike, fault problems and, electronic survey instruments |
| History, basics, principles-EDM instruments, gyro meter-applicability uses construction details, remote sensing-history, definitions, EMR, sensors, data transmissions storage, application and mining global positioning system and GIS, fundamentals |
| GPS observations, data processing, error correction, planning, maps, total station, use, setting up-observations measuring and distances and angles, establishing TBM station elevation, remote elevation, AutoCAD |
Mining machinery-I |
|---|
| Wire ropes-usage, chemical composition, tests of wires, classification, applicability of different wire ropes, causes of deterioration and precautions, selection parameters, numerical problems on size, weight and strength, capping |
| Recapping methods and rope splicing, description transportation in mines, classification different types of rope haulages, their applicability, merits and demerits limitations |
| Safety devices in different rope haulages, laying and maintenance of trackdetails of mine car, factors of section of rope haulage computation of problems for HP, rope size, breaking strength, tub capacity, number of tubs, conveyors |
| Classification different types of conveyors, construction safety devices merits-demerits, limitations, solves numerical problems on size, output motor HP, locomotive haulages-types, applicability, merits, demerits, classify aerial rope ways, applications |
| Simple problems, pumps-terms, classification types of pumps, fittings, merits, demerits, limitations, selection-problem on head, quantity HP, frictional losses their applicability in mines, construction details merits, demerits and limitations |
Mining machinery-II |
|---|
| Coal face machinery, different drills, power loaders, long wall face machinery, AFC, lump breakers, stage loaders, power pack, SERDS, DERDS, safety devices, power support, flame proof apparatus and intrinsically safe apparatus, field of applications |
| Features, remote control principle, signaling methods used in mines, telephones, winding-purpose, equipment, types of headgear frames, shaft fittings, guides, pit top and pit bottom arrangements, keps, suspension gear, types of drums |
| Drum and skip winding, cage winding and friction (Keope winding) speed control and safety contrivances |
| Breaks, types, speed control methods, mining cables-classification, types, constructional details-cable jointing, care and maintenance |
Mining legislation, mine management, and quality control |
|---|
| Mines-act, mine-rules and regulations provisions of mine act in respect of drinking water, health, hygiene, etc, medical facilities |
| Limitations of employment, leave with wages, etc, coal mines/ metal mines regulations-definitions duties of manager, over man, safety officer, under manager etc, transport, mine working ventilation etc |
| Precautions against dangers from fire, dust gas, water etc., mine lighting and safety equipment and fences, indian electricity rules, notices, plans, lighting, communications fire precautions, transformer, protective equipment ear thing |
| Voltage limits signaling haulage, earthling, super vision exemptions, industrial dispute act and total quality management, causes, disputes work committee, strikes, lock out-definition of TQM, ISO9000 series, merits, drawbacks |
| Indian standard quality system, ISO environmental standardsMine management-role of mining industry-organization structure, entrepreneurship and organizational structures-motivation factors, risk, rewards, requirements, product selection, site selection |
| Theory of motivation leadership, decision making communication process, market survey, demand survey, techno economic, break even analysis, recruitments and training, methods, essential quality of persons, training as per V.T.C. rules training programs |
| Network analysis, definition-objectives-construction of networks-merits and demerits of CPM, simple problems on CPM |
| PERT definition, methodology, time estimation, simple problems, comparison between CPM vs PERT, salvage operation, application in mind, importance of vocational training to miners-purpose, scope, VT centers-applicability-courses, equipment |
| Selection of training officers duties and responsibilities, causes and prevention of different accidents in mines etc, safety in mines-safe, unsafe conditions, importance of safety measures, pit safety committee, role of safety conferences |
| Role of CMRS in safety promotions, role of DGMS in for safety mines, safety organization, standards of lighting ventilation, etc |
Matrices |
|---|
| Definition of matrix, types of matrices, algebra of matrices, transpose of a matrix, symmetric, skew symmetric matrices, minor, cofactor of an element, determinant of a square matrix, properties, Laplace‘s expansion, singular and nonsingular matrices |
| Adjoint and multiplicative inverse of a square matrix, system of linear equations in 3 variables, solutions by Crammer‘s rule, matrix inversion method, Gauss-Jordan method |
| Partial fractions: Resolving a given rational function into partial fractions |
| Logarithms: Definition of logarithm and its properties, meaning of ‘e’ exponential function and logarithmic function |
Trigonometry |
|---|
| Properties of trigonometric functions-ratios of compound angles, multiple angles, submultiple angles,transformations of products into sum or difference and vice versa, simple trigonometric equations,properties of triangles, inverse trigonometric functions |
| Hyperbolic functions |
| Complex numbers: Properties of modulus, amplitude and conjugate of complex numbers, arithmetic operations on complex numbers, modulus, amplitude form (polar form), Euler form (exponential form), properties |
Analytical geometry |
|---|
| Straight lines, different forms of straight lines, distance of a point from a line, acute angle between two lines, intersection of two non-parallel lines and distance between two parallel lines |
| Circles-equation of circle given center and radius, given ends of diameter, general equation, finding center and radius, center and a point on the circumference, 3 non-collinear points, center and tangent |
| Equation of tangent and normal at a point on the circle |
Differentiation and its application |
|---|
| Functions and limits, standard limits, differentiation from the first principle, differentiation of sum, product, quotient of functions, function of function, trigonometric, inverse trigonometric, exponential, logarithmic, hyperbolic functions, |
| Implicit, explicit and parametric functions, derivative of a function with respect to another function, second order derivatives, geometrical applications of the derivative (angle between curves, tangent and normal)-increasing and decreasing functions |
| Maxima and minima (single variable functions) using second order derivative only, partial differentiation, partial derivatives up to second order, Euler‘s theorem |
Integration and its applications |
|---|
| Indefinite integral, standard forms-integration by decomposition of the integrand, integration of trigonometric, algebraic, exponential, logarithmic and hyperbolic functions, integration by substitution |
| Integration of reducible and irreducible quadratic factors, integration by parts, definite integrals and properties, definite integral as the limit of a sum, application of integration to find areas under plane curves and volumes of solids of revolution |
| Mean and RMS values, trapezoidal rule and Simpson’s 1/3 rule for approximation integrals |
Differential equations |
|---|
| Definition of a differential equation, order and degree of a differential equation, formation of differential equations, solution of differential equation of the type first order, first degree, variable-separable, homogeneous equations, exact |
| Linear differential equation of the form dy/ dx+Py=Q, Bernoulli‘s equation |
| nth order linear differential equation with constant coefficients both homogeneous and non-homogeneous and finding the particular integrals for the functions eᵃˣ, sin ax, cos ax, xᵐ (a polynomial of m-th degree m=1, 2) |
Laplace transforms |
|---|
| Laplace transforms (LT) of elementary functions-linearity property, first shifting property, change of scale property multiplication and division by t-LT of derivatives and integrals, unit step function, LT of unit step function, second shifting property |
| Evaluation of improper integrals, inverse Laplace transform (ILT), shifting theorem, change of scale property, multiplication and division by s, ILT by using partial fractions and convolution theorem |
| Applications of LT to solve ordinary differential equations up to second order only |
Fourier series |
|---|
| Define Fourier series, Euler’s formulae over the interval (C, C+2π) for determining the Fourier coefficients |
| Fourier series of simple functions in (0, 2π) and (–π, π) |
| Fourier series for even and odd functions in the interval (–π, π) |
Units and dimensions |
|---|
| Physical quantity, fundamental and derived physical quantities, units, fundamental and derived units, SI units, multiples and sub-multiples in SI units, advantages of SI units, dimensions and dimensional formulae for physical quantities |
| Dimensionless quantities, principle of homogeneity in dimensions, applications and limitations of dimensional analysis |
Modern physics |
|---|
| Photo electric effect, explanation and its laws-applications of photo electric effect (photocell), Einstein’s photoelectric equation, critical angle and total internal reflection, optical fibers-principle, working, types and applications |
| Concept of super conductivity, examples for super conducting materials and applications |
Heat and thermodynamics |
|---|
| Boyle‘s law, absolute scale of temperature, Charles laws, ideal gas equation, universal gas constant and its value, SI units, problems, isothermal process, adiabatic process, first law and second law of thermodynamics, two specific heats of a gas |
| Relation between Cp and Cv-problems |
Elements of vectors |
|---|
| Scalar and vector quantities, examples, types of vectors, addition and subtraction of vectors, triangle law, parallelogram law, expression for magnitude direction in case of parallelogram law, polygon law, resolution of a vector, unit vectors (i,j,k) |
| Dot product and cross product of two vectors, characteristics of dot and cross products-examples, problems |
Kinematics |
|---|
| Equations of motion, acceleration due to gravity, equations of motion under gravity, projectile motion-examples, horizontal and oblique projections, expression for path of projectile in case of oblique projection, expressions for maximum height |
| Time of ascent, time of flight, horizontal range in case of oblique projections-problems |
Friction |
|---|
| Friction, causes and types of friction, normal reaction, laws of friction, coefficients of friction, angle of friction, methods to reduce friction, advantages and disadvantages of friction |
| Expression for acceleration of a body over a rough horizontal surface, expressions for displacement and time taken to come to rest over a rough horizontal surface-problems |
Work, power, and energy |
|---|
| Work, power, and energy-definitions and units, potential and kinetic energies, examples and expressions, work-energy theorem, relation between kinetic energy and momentum, law of conservation of energy in case of freely falling body-problems |
Simple harmonic motion |
|---|
| Definition, conditions of SHM, examples of SHM, expressions for displacement, velocity, acceleration, time period, frequency and phase of SHM, expression for time period of a simple pendulum, laws of simple pendulum, seconds pendulum, problems |
Sound |
|---|
| Sound, longitudinal wave and transverse wave, musical sound and noise, noise pollution, effects and methods to control noise pollution, beats and echo’s and their applications, Doppler effect-explanation, and applications, reverberation time |
| Sabine’s formula, characteristics of a good auditorium-problems |
Properties of matter |
|---|
| Define terms-elasticity, plasticity-stress and strain, units, Hooke’s law-definition of surface tension, examples-explanation on the basis of molecular theory-angle of contact, capillarity and examples-formula for surface tension based on capillarity |
| Viscosity and examples, Newton’s formula for viscosity, Poiseulle’s equation for coefficient for viscosity, effect of temperature on viscosity of liquids and gases-problems |
Electricity and magnetism |
|---|
| Ohm’s law, specific resistance, conductance and their units, state and explain Kirchhoff's laws, expression for balancing condition of Wheat stone’s bridge, concept of meter bridge, Coulomb’s inverse square law in magnetism, magnetic field |
| Magnetic lines of force, magnetic induction field strength and units, moment of couple acting on a bar magnet placed in uniform magnetic field problem |
Fundamentals of chemistry |
|---|
| Atomic structure: Introduction, fundamental particles of an atom, Bohr‘s theory, quantum numbers, Aufbau’s principle, Hund‘s rule, Pauli‘s exclusion principle, electronic configurations of elements up to atomic number 30, shapes of s, p, d orbitals |
| Chemical Bonding: Introduction, types of chemical bonds, ionic bond-NaCl and MgO, characteristics of ionic compounds, covalent bond-H, O, N, characteristics of covalent compounds, coordinate covalent bond-definitions and examples, [NH+], [NHBF] |
| Oxidation-reductions: Electronic concept of oxidation and reduction, oxidation number and its calculations-differences between oxidation number and valency |
Solutions |
|---|
| Introduction, definition of solution, solute and solvent, classification of solutions based on physical state, mole concept, molecular weight, equivalent weight of acids, bases, and salts, molarity, normality and numerical problems |
Acids and bases |
|---|
| Introduction, theories of acids and bases, Arrhenius theory, Bronsted-Lowry theory, Lewis theory, ionic product of water, pH and related numerical problems pertaining to strong acids and bases, definition of buffer, types of buffer |
| Acidic buffer (acetate buffer), basic buffer (ammonia buffer)-applications |
Principles of metallurgy |
|---|
| Characteristics of metals and distinction between metals and non-metals |
| Definitions of metallurgy, ore, gangue, flux, slag, concentration of ore by froth floatation process-roasting, calcination, smelting, alloys, composition and uses of brass, German silver and nichrome |
Electrochemistry |
|---|
| Conductors, metallic and electrolytic conductors, insulators, electrolytes (strong and weak), Arrhenius theory of electrolytic dissociation, electrolysis of fused NaCl, Faraday‘s laws of electrolysis, numerical problems, Galvanic cell |
| Electrode potential, standard electrode potential, electro chemical series, EMF and numerical problems on EMF of a cell |
Corrosion |
|---|
| Introduction, definition of corrosion, factors influencing rate of corrosion, electrochemical theory of corrosion, composition cell, stress cell and concentration cell, rusting of iron and its mechanism |
| Prevention of corrosion by-(a) protective coatings, (b) cathodic protection (sacrificial anode method and impressed voltage method) |
Water technology |
|---|
| Introduction, soft and hard water, causes of hardness, types of hardness, disadvantages of hard water, degree of hardness, units and numerical problems, softening methods, permutit process, ion exchange process, characteristics of drinking water |
| Municipal treatment of water for drinking purpose, osmosis and reverse osmosis, advantages of reverse osmosis |
Polymers |
|---|
| Introduction, polymerization, types of polymerization-addition, condensation polymerization with examples, plastics, types of plastics, advantages of plastics over traditional materials, disadvantages of using plastics |
| Thermo plastics and thermo setting plastics, differences between thermo plastics and thermo stetting plastics, preparation and uses of the following plastics: (i) Polythene, (ii) PVC, (iii) teflon, (iv) polystyrene, (v) urea formaldehyde |
| Preparation and uses of the following plastics: (vi) Bakelite, rubber, natural rubber, processing of rubber from latex, vulcanization, elastomers, butyl rubber, Buna-s, neoprene rubber and their uses |
Fuels |
|---|
| Definition and classification of fuels based on physical state and occurrence, characteristics of good fuel, composition and uses of gaseous fuels-(a) water gas, (b) producer gas, (c) natural gas, (d) coal gas, (e) bio gas, (f) acetylene |
Environmental chemistry |
|---|
| Introduction, environment, lithosphere, hydrosphere, atmosphere biosphere, biotic component, energy component pollutant, receptor, sink, particulate, DO, BOD, threshold limit value, COD-air pollution-causes, effects, forest resources |
| Uses and over exploitation, deforestation, acid rain, green house effect, ozone depletion, control of air pollution, water pollution-causes, effects, control measures, renewable and non renewable energy sources, concept of ecosystem, producers |
| Consumers and decomposers, biodiversity, threats to biodiversity |
Electronic devices and circuits |
|---|
| Semiconductor diodes, varactor diode, zener diode, clippers and clampers, transistors, FETs, UJT (characteristics only), power supplies, rectifiers and filters, HW, FW and bridge type, RC, LC, and CLC filters, series and shunt regulators |
| IC regulators, transistor amplifiers, CE, CC, and CB configurations, biasing techniques, RC coupled, amplifiers, differential amplifiers-feedback, power and tuned amplifiers, operational amplifiers, characteristics and applications |
| RC, LC and crystal oscillators, astable, bitable and monostable multivibrators using 555 timers, Schmitt trigger, sweep circuits, Miller and bootstrap circuits, VCO, PLL, fabrication of Ics |
Circuit theory |
|---|
| Ohms’ law, KCL and KVL, mesh current and node voltage analysis, Crammer‘s rule, concept of graph, nodes, junctions, loops, co-tree, tree, twig-tie set, cut set, network theorems, Thevenin’s, Norton‘s, maximum power transfer |
| Superposition and reciprocity theorems, star to delta and delta to star transformations |
| Series and parallel resonance, Q-factor, selectivity, bandwidth, coupled circuits, transient analysis, RC and RL, linear wave shaping circuits |
| Transmission lines, characteristic impedance, reflection coefficient, SWR, transmission line losses and impedance matching |
Electronic measuring instruments |
|---|
| Analog instruments, extension of range of ammeter, voltmeter and Ohmmeter, FET voltmeter, differential voltmeter, bridges, Wheatstone, Maxwell, Schering-digital instruments, successive approximation, digital frequency meter, digital LCR meter, CRO, CRT |
| Time base generator, deflection sensitivity, triggered sweep circuits, CRO applications, AF oscillator, RF-signal generator, AF power meters, Q meter, distortion factor meter, spectrum analyser, XY plotters |
Programming in ‘C’ |
|---|
| Data types, arithmetic operations, operators and expressions, control statements-functions, parameter passing, arrays, pointers, structures |
Industrial electronics |
|---|
| Thyristor family, SCR, TRIAC, power BJT, IGBT (characteristics, working principle and applications), off line and on line UPS, working and applications SMPS, working servo stabilizer, opto electronic devices, LDR (characteristics and applications) |
| Transducers, LDTV, strain gauge, thermocouple, ultrasonic, pulse echo flaw detector, classify industrial heating methods, induction and dielectric heating, types of electrical welding, resistive welding, applications, architecture of PLCs, ladder symbols |
| Diagram, ladder program, list PLCs types, features of Siemen’s, allenbradly, applications of PLCs, block diagram of open and closed loop control system-merits and demerits of open loop system |
Communication systems |
|---|
| Analog, need for modulation, types of modulation, AM, FM, PM, modulation index, bandwidth, power requirements, transmitters, low level and high level types, receivers, block diagram of TRF and its limitations, super heterodyne |
| Need for AVC, fading, AM and FM receivers, IMRR and choice of IF, wave propagation, ground, sky and space waves-properties |
| Digital, pulse modulation, PCM, delta modulation, data codes, error detection and correction, digital modulation, ASK, FSK, PSK, and QAM, generation and detection, multiplexing, TDM, FDM, multiple access, TDMA, FDMA, internet telephony |
| Antennas, radiation resistance, beam width, polarization, directivity, efficiency, bandwidth, gain, front to back ratio, folded dipole, arrays, broadside, end fire, Yagi, turnstile antennas, loop antenna, hornhelical, binomial antenna |
| Parabolic reflectors, beam width, gain and applications |
| Wave guides, rectangular, dominant mode, phase and group velocity, cut off wavelength, working principle and applications of magnetron, Klystron, TWT, radar, range equation, pulsed radars, indicators, duplexers, CW radars and MTI radars, ILS |
| Satellite communication, UP link and DOWN link frequencies, types of satellites, satellite on board, earth station systems, satellite applications, GPS |
Digital electronics |
|---|
| Number systems, logic gates, Boolean algebra, adders and subtractors, multiplexers, demultiplexers, encoders, decoders, comparators, flipflops, registers, and counters, memories, RAM, ROM, Flash ROM, D/A converters, binary weighted, R-2R Ladder |
| A/D converter, counter and successive approximation types |
Microcontrollers, programming, interfacing, and applications |
|---|
| Block diagram 8085-8051 architecture, instruction set, subroutines, use of input and output machine related statements, time delay program, peripheral Ics, 8255 use of ADC 0808/ ADC0809 and DAC0808/ DAC0809, interfacing of RTC |
| Interfacing and segment display, LCD 4X 4 matrix, key board matrix, RS-232-DB25 and DB9 connector, MAX 2322. 233-8051 programming in C, I/O programming bit wise, byte wise, 8051 applications, need of relay, opto coupler for interfacing |
| Stepper motor, speed control of D.C. motor using PWM, water level controller, lift controller, advanced micro controller, architecture of PIC, features of PIC, PIC 16F877, ARM, RISC architecture |
Consumer electronics |
|---|
| Recording and reproduction of sound using magnetic and optical methods, television picture elements, scanning and synchronization, blanking and interlacing, composite video signal, flicker, CCIR standards, color TV, additive and subtractive mixing |
| Types of color TV systems, NTSC, PAL, and SECAM, PAL system processing, DTH system, cable TV, HDTV, features of smart TV, working principle of microwave oven, block diagram of electronic washing machines, block diagram of camcorder |
Data communications and computer networks |
|---|
| Transmission media, twisted pair, UTP-STP, coaxial cable, optical fiber, comparison, Shannon capacity theorem, network topologies, BUS, STAR, RING, switching, packet and circuit switching, OSI 7-layer model and functions, CSMA and token ring |
| Properties and operations, wireless LAN, bluetooth technology, WAN architecture, packet transmission, ARPA Net, ISP and ISDN architectures, WAN protocols, TCP/IP features and comparison, ports and sockets, domain name system, email, file transfer protocol |
| Proxy server and web server architecture, list HTTP commands, security services, message confidentiality, message integrity, message authentication, entity authentication, IOTS-its applications, web browser architecture, key management, digital signature |
| Firewalls in securing networks |
Pharmaceutics |
|---|
Successive differentiation |
|---|
| Expansions of functions, mean value theorems, indeterminate forms, curvature and evolutes, partial differentiation, homogeneous functions, total derivative, maxima and minima of functions of two variables, asymptotes, envelopes |
Differential equations of first order and first degree |
|---|
| Exact differential equations, integrating factors, change in variables, total differential equations of the form, differential equations first order but not of first degree, equations solvable for y-equations solvable for x |
| Equations that do not contain x or y, Clairaut’s equation |
Higher order linear differential equations |
|---|
| Solution of homogeneous linear differential equations with constant coefficients, solution of non-homogeneous differential equations P (D)y =Q(x) with constant coefficients by means of polynomial operators when Q(x) = beᵃˣ, b sin ax/b cos ax, bxᵏ, V eᵃˣ |
| Partial differential equations, formation and solution, equations easily integrable, linear equations of first order |
Sequences |
|---|
| Limits of sequences, limit theorems for sequences, monotonic sequences, Cauchy sequences, subsequences, Lim sup’s and Lim inf’s-series, test for convergence, alternating series |
Sequences and series of functions |
|---|
| Power series, uniform convergence, more on uniform convergence, differentiation and integration of power series |
| The Riemann integral, properties of Riemann integral, fundamental theorem of calculus |
Groups |
|---|
| Definition and examples of groups, elementary properties of groups, finite groups, subgroups, subgroup tests, cyclic groups, properties of cyclic groups, permutation groups, homomorphism, isomorphism of groups and their properties, auto morphism, cosets |
| Normal sub groups |
Introduction to rings |
|---|
| Examples of rings, properties of rings, subrings, integral domains, field, characteristics of a ring, ideals and factor rings, prime ideals and maximal ideals, ring homomorphisms, isomorphism of rings and their properties |
| The field of quotients polynomial rings, fundamental theorem of homomorphism |
Vector spaces |
|---|
| Vector spaces and subspaces, null spaces, column spaces, linear transformations, linearly independent sets, bases, coordinate systems, the dimension of a vector space, rank, change of basis |
Eigen values and Eigen vectors |
|---|
| The characteristic equatio, diagonalization, Eigen vectors and linear transformations, complex Eigen values, orthogonality, inner product, length, orthogonality, orthogonal sets |
Solutions of equations in one variable |
|---|
| The bisection method, fixed-point iteration, Newton’s method and its extensions, error analysis for iterative methods, accelerating convergence, zeros of polynomials, interpolation, Lagrange polynomial, divided differences |
| Numerical differentiation and integration |
Data sufficiency |
|---|
| Data in the form of two statements labeled as I and II |
Sequences and series |
|---|
| Analogies of numbers and alphabets |
Data analysis |
|---|
| Data given in a table, graph, bar diagram, pie chart, Venn diagram or a passage |
Coding and decoding problems |
|---|
| Code pattern of English alphabet |
Date, time and arrangement problems |
|---|
| Calendar problems, clock problems, blood relationship, arrivals, departures and schedules; seating arrangements, symbol and notation interpretation |
Vocabulary |
|---|
| Synonyms, antonyms, spelling, one word substitutes, words often confused, idioms and phrases |
Grammar |
|---|
| Articles, prepositions, conjunctions and adjectives, tenses, concord, correction of sentences |
Reading comprehension |
|---|
Ranked #52 among universities in India by NIRF | Highest CTC 50 LPA | 100% Placements | JEE Scores Accepted
Candidates can check the TS ECET 2024 exam pattern online. The exam pattern of TS ECET comprises of marking scheme, total question, duration of exam, and much more. Knowing the exam pattern, candidates will be able to understand the structure of the TS ECET 2024 question paper. Telangana State ECET is held for 3 hours in online mode. The exam is conducted for 200 questions. For the reference of the candidates, given below is the exam pattern of TS ECET 2024.
Particulars | Specifications |
Mode of Examination | Online |
Medium (Language in which it will held) | English |
Duration | 3 hours |
Number of Questions | 200 |
Nature of Questions | Multiple Choice Questions (MCQs) |
Number of Sections in Question Paper (for Diploma holder) | 4 (Physics, Chemistry, Mathematics and Engineering Paper) |
Division of Marks as per subjects (for Diploma holder) | Mathematics-50 Physics & Chemistry- 25 each Engineering Paper 100 |
Number of Sections in Question Paper (for B.Sc Mathematics | 3 (Mathematics, Analytical Ability & Communicative English) |
Division of Marks as per subjects (for B.Sc Mathematics | Mathematics-100 Analytical Ability & Communicative English- 50 each |
Total Marks | 200 |
The exam conducting authorities will release the TS ECET 2024 mock test on the official website. TS ECET mock test is a replica of the actual exam. Therefore, candidates appearing for TS ECET 2024 must attempt the mock test as it will help them to get familiar with the exam pattern, the type of questions that will be asked and more. Not only this, but attempting a mock test will help candidates to enhance their time management skills. This will help them to build confidence to appear for the TS ECET 2024.
The authority released the TS ECET 2024 admit card on May 1, 2024. The link to download the admit card of TS ECET 2024 is updated at, ecet.tsche.ac.in. Candidates have to provide the registration number, qualifying exam hall ticket number and date of birth to access the TS ECET admit card 2024 online. Moreover, the hall ticket will be available for the candidates who complete the TS ECET registration before the last date. TS ECET hall ticket will comprise of candidate’s name, gender, category, exam timing, venue, date, and more. Candidates need to carry the hall ticket on the day of the exam.
How to download the TS ECET hall ticket 2024?
Candidates have to follow the steps mentioned below to download the TS ECET hall ticket.
| State | City |
|---|---|
| Telangana | Hyderabad |
| Karimnagar | |
| Khammam | |
| Nalgonda | |
| Nizamabad | |
| Warangal | |
| Adilabad | |
| Kodad | |
| Mahabubnagar | |
| Sangareddy | |
| Siddipet | |
| Andhra Pradesh | Tirupati |
| Vijayawada | |
| Visakhapatnam | |
| Kurnool |
The authorities will release the TS ECET 2024 answer key online at, ecet.tsche.ac.in. TS ECET answer key will include the correct responses to the questions asked in the exam. With the help of the answer key, candidates can verify their answer and calculate the probable score. In case, candidates find any discrepancy in the answer key, they can raise objections. After analyzing the objections the authorities will release the final answer key.
Subject | Question Paper and Preliminary TS ECET answer key 2021 |
CSE - COMPUTER SCIENCE AND ENGINEERING | Computer Science |
| ECE - ELECTRONICS AND COMMUNICATION ENGINEERING | Electronics & Communication |
| EEE - ELECTRICAL AND ELECTRONICS ENGINEERING | Electrical & Electronics |
| EIE - ELECTRONICS AND INSTRUMENTATION ENGINEERING | Electronics & Instrumentation |
| CHE - CHEMICAL ENGINEERING | Chemical Engineering |
| CIV - CIVIL ENGINEERING | Civil engineering |
| MEC - MECHANICAL ENGINEERING | Mechanical Engineering |
| MET - METALLURGICAL ENGINEERING | Metallurgical engineering |
MIN - MINING ENGINEERING | Mining Engineering |
Osmania University will rease the TS ECET 2024 result online at the website, ecet.tsche.ac.in. The result of TS ECET 2024 will be available in the form of a rank card. Candidates can download their rank card by entering their TS ECET registration number and hall ticket number. Candidates will be able to download the rank by following the below-given steps:
Visit and click on the rank card link.
Enter hall ticket number, date of birth, and registration number
Click on ‘view rank card’ tab.
Rank card will be displayed on the screen.
Review all the information furnished on it and download it
The qualifying percentage marks for obtaining a rank in TS ECET 2024 is 25% of the aggregate marks in the four subjects (three subjects for B.Sc. Mathematics). However, in the case of the reserved category, there will be no minimum qualifying marks.
The following method will be adopted by authorities to break the tie if two or more candidates score the same marks in the entrance exam:
If the tie still exists, the candidates obtaining more marks in the Engineering subject will be ranked higher.
If a tie still continues marks obtained in the Mathematics subject will be considered. Candidates with higher marks will be given preference.
The marks obtained in physics subject will also be considered.
If the tie still exists age of the candidate will be considered and the older candidate will be given preference.
In the case of B.SC Mathematics, the following procedure will be considered:
If a tie still exists the candidates securing higher marks in Mathematics will be ranked higher.
The aggregate marks obtained in the qualifying examination will be considered.
The age of the candidate will be considered and the older candidate will be given priority.
| Student Name | Branch | Branch Rank | Total Marks (out of 160) | Integrated Rank |
| Panasa Sai Kumar | Civil Engineering | 1 | 160 | 1 |
| Boddu Abhigna | ECE | 1 | 153 | 2 |
| Shaik Anees Ahmed | Mechanical | 1 | 144 | 10 |
| Enugurnthi Srujana | CSE | 1 | 149 | 3 |
| Dannagiri Anurag Rao | EEE | 1 | 142 | 15 |
Mode of Counselling: Online
The counselling process includes steps like fee payment, choice filling, certificate and seat allotment. Admission through TS ECET 2024 counselling is based on the rank secured by the candidates in the entrance exam. Candidates must note that admission to 85% of seats in each course will be reserved for the local candidates and the remaining 15% of the seats will be un-reserved seats.
TS ECET 2024 Counselling Procedure
| Validity of Exam Result: | For 1 Year |
| Mode of Exam: | Online |
| Contacts: | 06301149064 |
| Relevant Links: | Official Website Link Click Here |
| +1 More |
Answer:
TS ECET 2024 will be held on May 6, 2024.
The authorities will release the TS ECET 2023 admit card on May 15 on the official website.
Dear aspirant,
hope you are doing good..!!
Congratulations for the rank you got in TS ECET. seat allotment for diploma students in Engineering colleges is based on the Branch rank and Integrated rank. while allotment seats category of the student is also considered. we cannot predict the exact college where you can get seat. as the cutoff marks will change every year for the colleges.
cutoff marks varies based on the different factors.
number of students attended the exam.
number of students applied
category, etc..
with the rank you got there are chances to you to get seat in the college.
hope it will be helpful
06301149064
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