# Andhra Pradesh Post Graduate Engineering Common Entrance Test (AP PGECET)

## About AP PGECET 2020

AP PGECET 2020 which is conducted by Andhra University has been postponed and is expected to be conducted in September. AP PGECET is a gateway for M.Tech admissions into the participating colleges of Andhra Pradesh. Registrations for the same is now open for all eligible candidates till July 16 with late fees of Rs 1000 and till September 5 with late fee of Rs 2000, while without late fees, form was available till June 15. Candidates were allowed to make corrections through AP PGECET application form correction facility between July 10 and 13. Candidates were allowed to make changes in AP PGECET exam centre 2020 in filled application form between June 24-25. AP PGECET hall ticket will be generated in online mode for registered candidates. AP PGECET 2020 will be 2 hours long and the questions will be based on the subject selected by the candidates. Direct admissions will be provided to GATE qualified candidates. AP PGECET 2020 result will be announced and the rank card of AP PGECET 2020 will also be released. Ranks will be allotted only to those candidates who meet the minimum qualifying marks. The cutoff will be released separately for GATE and AP PGECET qualified candidates. Allotment of seats is done based on the candidate’s performance in the qualifying examination and preferred course and institute.

## AP PGECET 2020 Highlights

Full Exam Name | Andhra Pradesh Post Graduate Engineering Common Entrance Test |

Short Exam Name | AP PGECET |

Conducting Body | Andhra University |

Frequency of Conduct | Once a year |

Exam Level | State Level Exam |

Languages | English |

Mode of Application | Online |

Application Fee (General) | 1000 Rs [Offline] +1 More |

Mode of Exam | Online |

Mode of Counselling | Online / Offline |

Participating Colleges | 156 |

Exam Duration | 2 Hours |

**Download all details about AP PGECET 2020**

## AP PGECET 2020 Important Dates

**Stay up-to date with Exam Notification and News**

Upcoming Dates and Events

17 Jul, 2020 - 05 Sep, 2020

Late Fee Application - With late fee of 2000 | Mode: Online ^{Ongoing}

Past Dates and Events

06 Jul, 2020 - 16 Jul, 2020

Late Fee Application - With late fee of Rs. 1000 | Mode: Online

10 Jul, 2020 - 13 Jul, 2020

Application Correction | Mode: Online

16 Jun, 2020 - 05 Jul, 2020

Late Fee Application - With late fee of Rs. 500 | Mode: Online

24 Jun, 2020 - 25 Jun, 2020

Choice of Exam City - Centre change | Mode: Online

09 Mar, 2020 - 15 Jun, 2020

Application - Without late fee | Mode: Online

The eligibility criteria of AP PGECET 2020 consists of the conditions and requirements that the candidates have to meet to participate in the admission process. If the candidates do not meet the eligibility criteria, then they will not be allowed to participate in the examination process. GATE qualified candidates will not have to appear for the entrance examination and are eligible for direct admissions. AP PGECET 2020 eligibility criteria are listed below:

**Age Limit**– Should not be younger than 21 years of age. The candidates do not have any upper age limit.**Nationality**– The candidates should be of Indian nationality.**Domicile**– The candidates should be a permanent resident of Andhra Pradesh or Telangana and the proof (documents) should be with them.**Academic Qualifications**– Should have completed their qualifying examination i.e., B.E./B.Tech successfully.**Marks Required**– The general category candidates are required to secure at least 50% marks in their qualifying exam whereas the reserved category candidates have to score 40%.**GATE**– Direct admissions will be open for GATE qualified candidates

Mode of Application : Online

Mode of Payment : Net Banking | Credit Card | Debit Card | Other

Candidates can access the application form of AP PGECET in online mode till July 16 with late fee of Rs 1000 and till September 5 with late fee of Rs 2000. It is necessary for the candidates to submit their filled application form within the specified date otherwise they will not be registered for the examination. Before filling the application form, the candidates are advised to read the eligibility criteria of AP PGECET 2020.

**Steps to fill AP PGECET 2020 Application Form**

- The first step is to pay the application fee. Only after paying the application fee, the candidates will be able to proceed further in the application process of AP PGECET 2020. Payment has to be done in online (net banking/credit card/debit card) or through AP Online Centres.
- After the payment process is over, the candidates will have to submit the following information to fill the application form – payment reference ID, qualifying examination hall ticket number, mobile number and date of birth.
- Next, the personal, communication and qualifying examination details will have to be submitted by the candidates. Selection of preferred exam centre also has to be done.
- The scanned images of their photograph and signature will have to be uploaded as per the specifications mentioned by the candidates.
- Finally, the candidates will have to submit their AP PGECET 2020 application form. The generated registration number will have to be kept safely for future use. The print out of the filled application form also has to be produced at the examination venue.

**Application Fee**

General Category – Rs. 1000

SC/ST – Rs. 500

### Application Fees

Category | Quota | Mode | Gender | Amount |
---|---|---|---|---|

General | Online, Offline | Female, Male | ₹ 1000 | |

ST, SC | Online, Offline | Female, Male | ₹ 500 |

## AP PGECET 2020 Syllabus

### AP PGECET Aerospace Engineering Syllabus

### Engineering mathematics

## Linear algebra |
---|

Matrix algebra |

Systems of linear equations |

Eigen values and Eigen vectors |

## Calculus |
---|

Functions of single variable |

Limit, Continuity and differentiability |

Mean value theorems |

Evaluation of definite and improper integrals |

Partial derivatives, total derivatives, maxima and minima |

Gradient |

Vector identities |

Directional derivatives |

Line |

Line, surface & volume integrals |

Theorems of stokes |

Gauss and Green |

## Differential calculus |
---|

First order linear and nonlinear equations |

Higher order linear ODEs with constant coefficients |

Cauchy and Euler equations |

Initial and boundary value problems |

Laplace transforms |

Partial differential equations and separation of variables methods |

## Numerical methods |
---|

Numerical solution of linear and non linear algebraic equations |

Integration by trapezoidal and Simpson rule |

Single and multi-step methods for differential equations |

### Flight mechanics

## Atmosphere |
---|

Properties |

Standard atmosphere |

Classification of aircraft |

Airplane configuration and various parts |

## Airplane performance |
---|

Pressure altitude |

Equivalent, calibrated, indicated air speeds |

Calibrated |

Indicated air speeds |

Primary flight instruments |

Altimeter, ASI, VSI, turn-bank indicator |

ASI |

VSI |

Turn-bank indicator |

Drag polar |

Take off and landing |

Steady climb And descent |

Absolute and service ceiling |

Cruise, cruise climb, endurance or loiter |

Cruise climb |

Endurance or loiter |

Load factor |

Turning flight |

V-N diagram |

Winds: Head, tail & cross winds |

Head |

Tail and cross winds |

## Static stability |
---|

Angle of attack |

Sideslip |

Roll |

Pitch And yaw controls |

Longitudinal stick fixed And free stability |

Horizontal tail position and size |

Directional stability |

Vertical tail position and size |

Dihedral stability |

Wing dihedral |

Sweep & position |

Hinge moments |

Stick forces |

## Dynamic stability |
---|

Euler angles |

Equations of motion |

Aerodynamic forces and moments |

Stability & control derivatives |

Decoupling of longitudinal and lat-directional dynamics |

Longitudinal modes |

Lateral directional modes |

## Space dynamics |
---|

Central force motion |

Determination of trajectory and orbital period in simple cases |

Orbit transfer |

In-plane and out-of-plane |

Elements of rocket motor performance |

### Aerodynamics

## Basic fluid mechanics |
---|

Incompressible irrotational flow |

Helmholtz and Kelvin theorem |

Singularities and superposition |

Viscous flows |

Boundary layer on a flat plate |

## Airfoils and wings |
---|

Classification of airfoils |

Aerodynamic characteristics |

High lift devices |

Kutta Joukowski theorem |

lift generation |

Thin airfoil theory |

Wing theory |

Induced drag |

Qualitative treatment of low aspect ratio wings |

## Viscous flows |
---|

Flow separation |

Introduction to turbulence |

Transition |

Structure of a turbulent boundary layer |

## Compressible flows |
---|

Dynamics and Thermodynamics of I-D flow |

Isentropic flow |

Normal shock |

Oblique shock |

Prandtl-Meyer flow |

Flow in nozzles and diffusers |

Inviscid flow in a c-d nozzle |

Flow in diffusers |

Subsonic and supersonic airfoils |

Compressibility effects on lift and drag |

Critical and drag divergence Mach number |

Wave drag |

## Wind tunnel testing |
---|

Measurement and visualisation techniques |

### Structures

## Stress and strain |
---|

Equations of equilibrium |

Constitutive law |

Strain-displacement relationship |

Compatibility equations |

Plane stress and strain |

Airy's stress function |

## Flight vehicle structures |
---|

Characteristics of aircraft structures and materials |

Torsion, bending and flexural shear of thin-walled sections |

Bending and flexural shear |

Flexural shear flow in thin and walled sections |

Buckling |

Failure theories, Mohr’s circle(stress), deflection of beams |

Loads on aircraft |

## Structural dynamics |
---|

Free and forced vibration of discrete systems |

Damping and resonance |

Dynamics of continuous systems |

## Propulsion |
---|

Thermodynamics of Aircraft Gas Turbine engines thrust and Thrust augmentation |

## Turbo machinery |
---|

Axial compressors and turbines |

Centrifugal pumps and compressors |

## Aerothermodynamics of non-rotating propulsion components |
---|

Intakes |

Combustor and nozzle |

Thermodynamics of ramjets and scramjets |

Elements of rocket propulsion |

### AP PGECET Biotechnology Syllabus

### Engineering mathematics

## Linear algebra |
---|

Matrices and determinants |

Systems of linear equations |

Eigen values and Eigen vectors |

## Calculus |
---|

Limit |

Continuity and differentiability |

Partial derivative |

Maxima and minima |

Sequences and series |

Test for convergence |

Fourier series |

Linear and nonlinear first order ODEs |

## Differential equations |
---|

Higher order ODEs with constant coefficients |

Cauchy's and Euler's equations |

Laplace transforms |

PDE Laplace |

Heat and wave equations |

Probability and Sampling Theorem |

Pde laplace |

## Probability and Statistics |
---|

Conditional probability |

Mean |

Median |

Mean, median, mode & standard deviation |

Random variables |

Poisson, normal & binomial distributions |

Normal and binomial distributions |

Correlation and regression analysis |

Solution of linear and nonlinear algebraic equations |

Integration of trapezoidal and Simpson's rule |

Single and multistep methods for differential equations |

Prokaryotic and eukaryotic cell structure |

### Biotechnology

## Microbiology |
---|

Microbial nutrition |

Growth and control |

Microbial metabolism |

Microbial metabolism in aerobic and anaerobic respiration |

Nitrogen fixation |

Chemical basis of mutations and mutagens |

Microbial genetics in plasmids, transformation, transduction, conjugation |

Microbial diversity and characteristic features |

Viruses |

Biomolecules and their conformation |

## Biochemistry |
---|

Weak inter molecular interactions in biomacromolecules |

Chemical and functional nature of enzymes |

Kinetics of single substrate and bi-substrate enzyme catalyzed reactions |

Bioenergetics |

Metabolism in Glycolysis TCA and Oxidative phosphorylation |

Membrane transport and pumps |

Cell cycle and cell growth control |

Cell signalling and signal transduction |

Molecular structure of genes and chromosomes |

## Molecular biology and genetics |
---|

DNA replication and control |

Transcription and its control |

Translational processes |

Regulatory controls in prokaryotes and eukaryotes |

Mendelian inheritance |

Gene interaction |

Complementation |

Linkage |

Recombination and chromosome mapping |

Extra chromosomal inheritance |

Chromosomal variation |

Population genetics |

Transposable elements |

Molecular basis of genetic diseases and applications |

Bioprocess technology for the production of cell biomass and primary and secondary metabolites |

## Process biotechnology |
---|

Microbial production |

Purification and bioprocess application s of industrial enzymes |

Production and purification of recombinant proteins on a large scale |

Chromatographic and membrane based bioseparation methods |

Immobilization of enzymes and cells and their application for bioconversion processes |

Aerobic and anaerobic biological processes for stabilization of solid and liquid wastes |

Bioremediation |

Kinetics of microbial growth |

## Bioprocess engineering |
---|

Substrate utilization and product formation |

Simple structured models |

Sterilization of air and media |

Fed batch and continuous processes |

Aeration and 1 APPGECET 2018 agitation |

Mass transfer in bioreactors |

Rheology of fermentation fluids |

Scale up concepts |

Design of fermentation media |

Various types of microbial and enzyme reactors |

Instrumentation in bioreactors |

Special features and organization of plant cells |

## Plant and animal biotechnology |
---|

Totipotency |

Regeneration of plants |

Plant products of industrial importance |

Biochemistry of major metabolic pathways and products |

Autotrophic and heterotrophic growth |

Plant growth regulators and elicitors |

Cell suspension culture development |

Methodology |

kinetics of growth and production formation |

Nutrient optimization |

Production of secondary metabolites by plant suspension cultures |

Hairy root cultures and their cultivation |

Techniques in raising transgencies |

Metabolism |

## Characteristics of animal cells |
---|

Regulation and nutritional requirements for mass cultivation of animal cell cultures |

Kinetics of cell growth and product formation and effect of shear force |

Product and substrate transport |

Micro and macro carrier culture |

Hybridoma technology |

Live stock improvement |

Cloning in animals |

Genetic engineering in animal cell culture |

Animal cell preservation |

The origin of immunology |

## Immunology |
---|

Inherent immunity |

Humoral and cell mediated immunity |

Primary and secondary lymphoid organ |

Antigen |

B and T cells and macrophages |

Major histocompatibility complex |

Antigen processing and presentation |

Synthesis of antibody and secretion |

Molecular basis of antibody diversity |

Polyclonal and monoclonal antibody |

Complement |

Antigen antibody reaction |

Regulation of immune response |

Immune tolerance |

Hyper sensitivity |

Autoimmunity |

Graft versus host reaction |

Restriction and modification enzymes |

## Recombinant DNA technology |
---|

Vectors |

Plasmid |

Bacteriophage and other viral vectors |

Cosmids |

Ti plasmid |

Yeast artificial chromosome |

CDNA and genomic DNA library |

Gene isolation |

Gene cloning |

Expression of cloned gene |

Transposons and gene targeting |

DNA labelling |

DNA Sequencing |

Polymerase chain reactions |

DNA fingerprinting |

Southern and northern blotting |

In situ hybridization |

RAPD |

RFLP |

Sitedirected mutagenesis |

Gene transfer technologies; Gene therapy |

Major Bioinformatics resources like NCBI, EBI, ExPASy |

## Bioinformatics |
---|

Sequence and structure databases |

Sequence analysis |

Genomics and Proteomics |

Molecular modeling and simulations with basic concepts including concept of force fields |

### AP PGECET Chemical Engineering Syllabus

### Engineering mathematics

## Linear algebra |
---|

Matrix algebra |

Systems of linear equations |

Eigen values and Eigen vectors |

## Calculus |
---|

Functions of single variable |

Limit |

Continuity and differentiability |

Mean value theorems |

Evaluation of definite and improper integrals |

Partial derivatives |

Total derivative |

Maxima and minima |

Gradient |

Gradient, divergence and curl |

Vector densities |

Directional derivatives |

Line |

Line, surface & volume integrals |

Stokes, Gauss and Green’s theorems |

Gauss and Green's theorems |

## Differential equations |
---|

First order equations of linear and nonlinear |

Higher order linear differential equations with constant coefficients |

Cauchy's and Euler's equations |

Initial and boundary value problems |

Laplace transforms |

Solutions of one dimensional heat and wave equations and Laplace equation |

## Complex variables |
---|

Analytic functions |

Cauchy's integral theorem |

Taylor and Laurent series |

Residue theorem |

## Probability and Statistics |
---|

Definitions of probability and sampling theorems |

Conditional probability |

Probability Density Function |

Mean, median, mode and standard deviation |

Random variables |

Exponential |

Poisson, normal & binomial distributions |

Normal and binomial distributions |

## Numerical methods |
---|

Numerical solutions of linear and non-linear algebraic equations Integration by trapezoidal and Simpson's rule |

Single and multi-step methods for differential equations |

### Chemical engineering

## Process calculations and thermodynamics |
---|

Laws of conservation of mass and energy |

Use of tie components |

Recycle |

Bypass and purge calculations |

Degree of freedom analysis |

First and second laws of thermodynamics |

First law application to close and open systems |

Second law and Entropy Thermodynamic properties of pure substances |

Equation of state and departure function |

Properties of mixtures |

Partial molar properties |

Fugacity |

Excess properties and activity coefficients |

Phase equilibria |

Predicting VLE of systems |

Chemical reaction equilibria |

## Fluid mechanics and mechanical operations |
---|

Fluid statics |

Newtonian and non Newtonian fluids |

Bernoulli equation |

Macroscopic friction factors |

Energy balance |

Dimensional analysis |

Shell balances |

Flow through pipeline systems |

Flow meters |

Flow meters , pumps and compressors |

Packed and fluidized beds |

Elementary boundary layer theory |

Size Reduction and Size Separation |

Free and hindered settling |

Centrifuge and cyclones |

Thickening and classification |

Filtration |

Mixing and Agitation |

Conveying of solids |

## Heat transfer |
---|

Conduction |

Convection and radiation |

Heat transfer coefficients |

Steady and unsteady heat conduction |

Boiling |

Boiling, condensation and evaporation |

Types of heat exchangers and evaporators and their design |

## Mass transfer |
---|

Fick's law |

Molecular diffusion in fluids |

Mass transfer coefficients |

Film |

Film, penetration and surface renewal theories |

Momentum |

Momentum, heat and mass transfer analogies |

Stage wise and Continuous contacting and Stage efficiencies |

HTU And NTU concepts design and operation of equipment for distillation |

Absorption |

Leaching |

Liquid liquid extraction |

Drying |

Humidification |

Dehumidification and adsorption |

## Chemical reaction engineering |
---|

Theories of reaction rates |

Kinetics of homogeneous reactions |

Interpretation of kinetic data |

Single and multiple reactions in ideal reactors |

Non ideal reactors |

Residence time distribution |

Single parameter model |

Non isothermal reactors |

Kinetics of heterogeneous catalytic reactions |

Diffusion effects in catalysis |

## Instrumentation and process control |
---|

Measurement of process variables |

Sensors Of Chemical |

Sensors, transducers and their dynamics |

Transfer functions and dynamic responses of simple systems |

Process reaction curve |

Controller modes P, PI, and PID |

Control valves |

Analysis of closed loop systems including stability |

Frequency response and controller tuning |

Cascade |

Feed forward control |

## Plant design and economics |
---|

Process design and sizing of chemical engineering equipment such as compressors |

Heat exchangers |

Multistage contactors |

Principles of process economics and cost estimation including total annualized cost |

Cost indexes |

Rate of return |

Payback period |

Discounted cash flow |

Optimization in design |

## Chemical technology |
---|

Inorganic chemical industries |

Sulfuric acid |

NaOH |

Fertilizers of Ammonia and Urea and SSP and TSP |

Natural products industries of Pulp and Paper, Sugar, Oil, and Fats |

Petroleum refining and petrochemicals |

Polymerization industries |

Polyethylene |

Polypropylene |

PVC and polyester synthetic fibers |

### AP PGECET Civil Engineering Syllabus

### Engineering mathematics

## Linear algebra |
---|

Matrix algebra |

Systems of linear equations |

Eigen values and Eigen vectors |

## Calculus |
---|

Functions of single variable |

Limit |

Continuity and differentiability |

Mean value theorems |

Evaluation of definite and improper integrals |

Partial derivatives |

Total derivative |

Maxima and minima |

Gradient |

Gradient, divergence and curl |

Vector identities |

Directional derivatives |

Line |

Line, surface & volume integrals |

Stokes, Gauss and Green’s theorems |

Gauss and Green's theorems |

## Differential equations |
---|

First order equations of linear and nonlinear |

Higher order linear differential equations with constant coefficients |

Cauchy's and Euler's equations |

Initial and boundary value problems |

Laplace transforms |

Solutions of one dimensional heat and wave equations and Laplace equation |

## Complex variables |
---|

Analytic functions |

Cauchy's integral theorem |

Taylor and Laurent series |

## Probability and Statistics |
---|

Definitions of probability and sampling theorems |

Conditional probability |

Probability Density Function |

Mean,Median, mode and standard deviation |

Random variables |

Exponential |

Poisson, normal & binomial distributions |

Normal and binomial distributions |

## Numerical methods |
---|

Numerical solutions of linear and non linear algebraic equations Integration by trapezoidal and Simpson's rule |

Single and multi step methods for differential equations |

### Structural engineering

## Mechanics |
---|

Bending moment and shear force in statically determinate beams |

Simple stress and strain relationship |

Stress and strain in two dimensions |

Principal stresses |

Stress transformation |

Mohr's circle |

Simple bending theory |

Flexural and shear stresses |

Unsymmetrical bending |

Shear centre |

Thin walled pressure vessels |

Uniform torsion |

Buckling of column |

Combined and direct bending stresses |

## Structural analysis |
---|

Analysis of statically determinate trusses, arches, beams, cables and frames |

Displacements in statically determinate structures and analysis of statically indeterminate structures by force or energy methods |

Analysis by displacement methods slope deflection and moment distribution methods |

Influence lines for determinate and indeterminate structures |

Basic concepts of matrix methods of structural analysis |

## Concrete structures |
---|

Concrete Technology and properties of concrete |

Basics of mix design |

Concrete design basic working stress and limit state design concepts |

Analysis of ultimate load capacity and design of members subjected to flexure |

Shear |

Compression and torsion by limit state methods |

Basic elements of prestressed concrete |

Analysis of beam sections at transfer and service loads |

Concrete technology and properties of concrete |

## Steel structures |
---|

Analysis and design of tension and compression members |

Beams and beam columns, Column bases |

Connections simple and eccentric |

Beam'column connections |

Plate girders and trusses |

Plastic analysis of beams and frames |

Beams and beam columns |

Column bases |

### Geotechnical engineering and environmental engineering

## Soil mechanics |
---|

Origin of soils |

Soil classification |

Three phase system |

Fundamental definitions |

Relationship and interrelationships |

Permeability and seepage |

Effective stress principle |

Consolidation |

Compaction |

Shear strength |

## Foundation engineering |
---|

Sub surface investigations scope |

Drilling bore holes |

Sampling |

Penetration tests |

Plate load test |

Earth pressure theories |

Effect of water table |

Layered soils |

Stability of slopes infinite slopes |

Finite slopes |

Foundation types and foundation design requirements |

Shallow foundations of bearing capacity |

Effect of shape |

Water table and other factors |

Stress distribution |

Settlement analysis in sands and clays |

Deep foundations pile types |

Dynamic and static formulae |

Load capacity of piles in sands and clays |

Negative skin friction |

### Water resources and transportation engineering

## Fluid mechanics and hydraulics |
---|

Properties of fluids |

Principle of conservation of mass and momentum |

Energy and corresponding equations |

Potential flow |

Applications of momentum and Bernoulli’s equation |

Laminar and turbulent flow |

Flow in pipes |

Pipe networks |

Concept of boundary layer and its growth |

Uniform flow |

Critical flow and gradually varied flow in channels |

Specific energy concept |

Hydraulic jump |

Forces on immersed bodies |

Flow measurements in channels |

Tanks and pipes |

Dimensional analysis and hydraulic modeling |

Kinematics of flow |

Velocity triangles and specific speed of pumps and turbines |

## Hydrology |
---|

Hydrologic cycle |

Rainfall |

Evaporation |

Infiltration |

Stage discharge relationships |

Unit hydrographs |

Flood estimation |

Reservoir capacity |

Reservoir and channel routing |

Well hydraulics |

## Irrigation |
---|

Duty |

Delta |

Estimation of evapo transpiration |

Crop water requirements |

Design of lined and unlined canals |

Waterways |

Head works |

Gravity dams and spillways |

Design of weirs on permeable foundation |

Types of irrigation system |

Irrigation methods |

Water logging and drainage |

Sodic soils |

## Water requirements |
---|

Water requirements of Quality standards |

Basic unit processes and operations for water treatment |

Drinking water standards |

Water requirements |

Basic unit operations and unit processes for surface water treatment |

Distribution of water |

Sewage and sewerage treatment |

Quantity and characteristics of waste water |

Primary, secondary and tertiary treatment of waste water |

Sludge disposal |

Effluent discharge standards |

Domestic waste water treatment |

Quantity of characteristics of domestic waste water |

Primary and secondary treatment Unit operations and unit processes of domestic wastewater |

## Air pollution |
---|

Types of pollutants and their sources and impacts |

Air pollution meteorology |

Air pollution control |

Air quality standards and limits |

## Municipal solid wastes |
---|

Characteristics of Solid Wastes |

Generation of Solid Wastes |

Generation, collection and transportation of solid wastes |

Engineered systems for solid waste management reuse or recycle, energy recovery, treatment and disposal |

## Noise pollution |
---|

Impacts of noise |

Permissible limits of noise pollution |

Measurement of noise and control of noise pollution |

## Highway planning |
---|

Geometric design of highways |

Testing and specifications of paving materials |

Esign of flexible and rigid pavements |

## Traffic engineering |
---|

Traffic characteristics |

Theory of traffic flow |

Intersection design |

Raffic signs and signal design |

Highway capacity |

## Surveying |
---|

Importance of surveying |

Principles and classifications of surveying |

Mapping concepts |

Coordinate sytems in surveying |

Map projections |

Measurements of distance and directions |

Leveling |

Theodolite traversing |

Plane table surveying |

Errors and adjustments |

Curves |

### AP PGECET Computer Science & Information Technology Syllabus

### Engineering mathematics

## Probability and Statistics |
---|

Probability |

Conditional probability |

Probability Density Function |

Mean |

Median |

Mean, median, mode & standard deviation |

Random variables |

Distributions |

Uniform, exponential, normal, poisson and binomial distributions. |

Normal |

Exponential |

Poisson, normal & binomial distributions |

Binomial |

Mean, median, mode and standard deviation |

## Set theory and algebra |
---|

Sets |

Relations |

Functions |

Groups |

Partial Orders |

Lattice |

Boolean algebra |

## Linear algebra |
---|

Algebra of matrices |

Determinants |

Systems of linear equations |

Eigen values and Eigen vectors |

## Numerical methods |
---|

LU decomposition for systems of linear equations |

Numerical solutions of non-linear algebraic equations by Secant |

Bisection and Newton Raphson Methods |

Numerical integration by trapezoidal and Simpson's rules |

## Calculus |
---|

Limit |

Continuity and differentiability |

Mean value theorems |

Theorems of integral calculus |

Evaluation of definite and improper integrals |

Partial derivatives |

Total derivatives |

Maxima and minima |

## Set theory and algebra |
---|

Sets |

Relations |

Functions |

Groups |

Partial Orders |

Lattice |

Boolean algebra |

### Computer science and information technology

## Combinatorics |
---|

Permutations |

Combinations |

Counting |

Summation |

Generating functions |

Recurrence relations |

Asymptotic |

## Graph theory |
---|

Connectivity |

Spanning trees |

Cut vertices And Edges |

Covering |

Matching |

Independent Sets |

Colouring |

Planarity |

Isomorphism |

## Mathematical logic |
---|

Propositional Logic |

First Order Logic |

## Digital logic |
---|

Logic functions |

Minimization |

Design and synthesis of combinational and sequential circuits |

Number representation and computer arithmetic in fixed and floating point |

Number representation and computer arithmetic |

## Computer organization and architecture |
---|

Machine instructions and addressing modes |

ALU and data-path |

CPU control design |

Memory interface |

I/O interface Interrupt and DMA mode |

Instruction pipelining |

Cache and main memory |

Secondary storage |

## Programming and data structures |
---|

Programming in C |

Functions |

Recursion |

Parameter passing |

Scope |

Binding |

Abstract data types |

Arrays |

Stacks |

Queues |

Linked lists |

Trees |

Binary search trees |

Binary heaps |

## Algorithms |
---|

Analysis |

Asymptotic notation |

Notions of space and time complexity |

Worst and average case analysis |

Design |

Greedy approach |

Dynamic programming |

Divide-and conquer |

Tree and graph traversals |

Connected components |

Spanning trees |

Shortest paths |

Hashing |

Sorting |

Searching |

Asymptotic analysis of time and space |

Upper and lower bounds |

Basic concepts of complexity classes P, NP, NP-hard, NP-complete |

## Theory of computation |
---|

Regular languages and finite automata |

Context free languages and Push-down automata |

Recursively enumerable sets and Turing machines |

Undecidability |

## Compiler design |
---|

Lexical analysis |

Parsing |

Syntax directed translation |

Runtime environments |

Intermediate and target code generation |

Basics of code optimization |

## Operating system |
---|

Processes |

Threads |

Inter process communication |

Concurrency |

Synchronization |

Deadlock |

CPU scheduling |

Memory management and virtual memory |

File systems |

I/O systems |

Protection and security |

## Databases |
---|

ER-model |

Relational model relational algebra, tuple calculus |

Database design integrity constraints, normal forms |

Query languages SQL |

File structures sequential files, indexing, B and B+ trees |

Transactions and concurrency control |

Relational model relational algebra, tuple calculus |

## Information systems and software engineering |
---|

Information gathering |

Requirement and feasibility analysis |

Data flow diagrams |

Process specifications |

Input/output design |

Process life cycle |

Planning and managing the project |

Design |

Coding |

Testing |

Implementation |

Maintenance |

## Computer networks |
---|

ISO/OSI stack |

LAN technologies Ethernet, Token ring |

Flow and error control techniques |

Routing algorithms |

Congestion control |

TCP/UDP and sockets |

IP(v4) |

Application layer protocols icmp, dns, smtp, pop, ftp, http |

Basic concepts of hubs |

Switches |

Gateways and routers |

Network security basic concepts of public key and private key cryptography |

Digital signature |

Firewalls |

## Web technologies |
---|

HTML |

XML |

Basic concepts of client server computing |

### AP PGECET Electrical Engineering Syllabus

### Engineering mathematics

## Linear algebra |
---|

Matrix algebra |

Systems of linear equations |

Eigen values and Eigen vectors |

## Calculus |
---|

Mean value theorems |

Theorems of integral calculus |

Evaluation of definite and improper integrals |

Partial derivatives |

Maxima and minima |

Multiple integrals |

Fourier series |

Vector identities |

Directional derivatives |

Line |

Line, surface & volume integrals |

Stokes, Gauss and Green’s theorems |

Gauss and Green's theorems |

## Differential equations |
---|

First order equation of linear and nonlinear |

Higher order linear differential equations with constant coefficients |

Method of variation of parameters |

Cauchy's and Euler's equations |

Initial and boundary value problems |

Partial Differential Equations and variable separable method |

First order equation are linear and nonlinear |

## Complex variables |
---|

Analytic functions |

Cauchy's integral theorem and integral formula |

Taylor's and Laurent' series |

Residue theorem |

Solution integrals |

## Probability and Statistics |
---|

Probability and Sampling theorems |

Conditional probability |

Probability Density Function |

Mean |

Median |

Mean, median, mode & standard deviation |

Random variables |

Discrete and continuous distributions |

Exponential |

Poisson, normal & binomial distributions |

Normal and Binomial distribution |

Correlation and regression analysis |

## Numerical methods |
---|

Solutions of non-linear algebraic equations |

Single and multi-step methods for differential equations |

## Electrical engineering |
---|

## Electric circuits and fields |
---|

Network graph |

KCL |

KVL |

Node and mesh analysis |

Transient response of DC and AC networks |

Sinusoidal steady and state analysis |

Resonance |

Basic filter concepts |

Ideal current and voltage sources |

Thevenin's |

Norton's and Superposition and Maximum Power Transfer theorems |

Two-port networks |

Three phase circuits |

Gauss Theorem |

Electric field and potential due to point |

Line |

Plane, line and spherical charge distributions |

Ampere's and Biot-Savart's laws |

Inductance |

Dielectrics |

Capacitance |

## Signals and systems |
---|

Representation of continuous and discrete and time signals |

Shifting and scaling operations |

linear |

Time and invariant and causal systems |

Fourier series representation of continuous periodic signals |

Sampling theorem |

Fourier |

Laplace and Z transforms |

## Electrical machines |
---|

Single phase transformer |

Equivalent circuit |

Phasor diagram |

Tests |

Regulation and efficiency |

Three phase transformers |

Connections |

Parallel operation |

auto-transformer |

Energy conversion principles |

DC machines |

Windings |

Generator characteristics |

Armature reaction and commutation |

Starting and speed control of motors |

Three phase induction motors |

starting and speed control of motors of principles |

Types of speed control of motors |

performance characteristics |

starting and speed control |

single phase induction motors |

synchronous machines |

Performance |

Regulation and parallel operation of generators |

motor starting |

characteristics and applications |

Servo and stepper motors |

## Power systems |
---|

Basic power generation concepts |

Transmission line models and performance |

Cable performance |

Insulation |

Corona and radio interference |

Distribution systems; per-unit quantities |

Bus impedance and admittance matrices |

Load flow |

Voltage control |

Power factor correction |

Economic operation |

Symmetrical components |

Fault analysis |

Principles of over-current |

Differential and distance protection |

solid state relays and digital protection |

Circuit breakers |

System stability concepts |

Swing curves and equal area criterion |

HVDC transmission and FACTS concepts |

## Control systems |
---|

Principles of feedback |

Transfer function |

Block diagrams |

Steady-state errors |

Routh and Niquist techniques |

Bode plots |

Root loci |

Lag |

lead and lead-lag compensation |

State space model |

State transition matrix |

controllability and observability |

## Electrical and electronic measurements |
---|

Bridges and potentiometers |

PMMC |

Moving iron |

Dynamometer and induction type instruments |

Measurement of voltage |

Measurement of Current |

Measurement of Power |

Energy and power factor |

Instrument transformer |

Digital voltmeters and multimeters and phase |

Time, phase and frequency measurement |

Q-meters |

Oscilloscopes |

Eotentiometric recorders |

Error analysis |

## Analog and digital electronics |
---|

Characteristics of diodes, BJT, MOSFET |

BJT |

FET |

Amplifiers |

Biasing |

Equivalent circuit and frequency response |

Oscillators and feedback amplifiers |

Operational amplifiers |

characteristics and applications |

Simple active filters |

VCOs and timers |

Combinational and sequential logic circuits |

Multiplexer |

Schmitt trigger |

Multi-vibrators |

Sample and hold circuits |

A/D and D/A converters |

8-bit microprocessor basics in 8085 |

Architecture |

Programming and interfacing |

## Power electronics and drives |
---|

Semiconductor power diodes |

Transistors |

Thyristors |

Triacs |

GTOs |

MOSFETs and IGBTs |

Static characteristics and principles of operation |

Triggering circuits |

Phase control rectifiers |

Bridge converters |

Fully controlled and half controlled |

Principles of choppers and inverters |

Basis concepts of adjustable speed dc and ac drives |

## Electric traction system |
---|

Speed and time curves |

Specific energy consumption |

Mechanism of train movement |

### Electrical engineering

## Electric circuits and fields |
---|

Network graph |

KCL |

KVL |

Node and mesh analysis |

Transient response of DC and AC networks |

Sinusoidal steady and state analysis |

Resonance |

Basic filter concepts |

Ideal current and voltage sources |

Thevenin's |

Norton's and Superposition and Maximum Power Transfer theorems |

Two-port networks |

Three phase circuits |

Gauss Theorem |

Electric field and potential due to point |

Line |

Plane, line and spherical charge distributions |

Ampere's and Biot-Savart's laws |

Inductance |

Dielectrics |

Capacitance |

Transient response of DC and ACnetworks |

## Signals and systems |
---|

Representation of continuous and discrete and time signals |

Shifting and scaling operations |

linear |

Time and invariant and causal systems |

Fourier series representation of continuous periodic signals |

Sampling theorem |

Fourier |

Laplace and Z transforms |

## Electrical machines |
---|

Single phase transformer |

Equivalent circuit |

Phasor diagram |

Tests |

Regulation and efficiency |

Three phase transformers |

Connections |

Parallel operation |

auto-transformer |

Energy conversion principles |

DC machines |

Windings |

Generator characteristics |

Armature reaction and commutation |

Starting and speed control of motors |

Three phase induction motors |

starting and speed control of motors of principles |

Types of speed control of motors |

performance characteristics |

starting and speed control |

single phase induction motors |

synchronous machines |

Performance |

Regulation and parallel operation of generators |

motor starting |

characteristics and applications |

Servo and stepper motors |

## Power systems |
---|

Basic power generation concepts |

Transmission line models and performance |

Cable performance |

Insulation |

Corona and radio interference |

Distribution systems; per-unit quantities |

Bus impedance and admittance matrices |

Load flow |

Voltage control |

Power factor correction |

Economic operation |

Symmetrical components |

Fault analysis |

Principles of over-current |

Differential and distance protection |

solid state relays and digital protection |

Circuit breakers |

System stability concepts |

Swing curves and equal area criterion |

HVDC transmission and FACTS concepts |

## Control systems |
---|

Principles of feedback |

Transfer function |

Block diagrams |

Steady-state errors |

Routh and Niquist techniques |

Bode plots |

Root loci |

Lag |

lead and lead-lag compensation |

State space model |

State transition matrix |

controllability and observability |

## Electrical and electronic measurements |
---|

Bridges and potentiometers |

PMMC |

Moving iron |

Dynamometer and induction type instruments |

Measurement of voltage |

Measurement of Current |

Measurement of Power |

Energy and power factor |

Instrument transformer |

Digital voltmeters and multimeters and phase |

Time, phase and frequency measurement |

Q-meters |

Oscilloscopes |

Eotentiometric recorders |

Error analysis |

## Analog and digital electronics |
---|

Characteristics of diodes, BJT, MOSFET |

BJT |

FET |

Amplifiers |

Biasing |

Equivalent circuit and frequency response |

Oscillators and feedback amplifiers |

Operational amplifiers |

characteristics and applications |

Simple active filters |

VCOs and timers |

Combinational and sequential logic circuits |

Multiplexer |

Schmitt trigger |

Multi-vibrators |

Sample and hold circuits |

A/D and D/A converters |

8-bit microprocessor basics in 8085 |

Architecture |

Programming and interfacing |

## Power electronics and drives |
---|

Semiconductor power diodes |

Transistors |

Thyristors |

Triacs |

GTOs |

MOSFETs and IGBTs |

Static characteristics and principles of operation |

Triggering circuits |

Phase control rectifiers |

Bridge converters |

Fully controlled and half controlled |

Principles of choppers and inverters |

Basis concepts of adjustable speed dc and ac drives |

## Electric traction system |
---|

Speed and time curves |

Specific energy consumption |

Mechanism of train movement |

### AP PGECET Electronics & Communication Engineering Syllabus

### Engineering mathematics

## Linear algebra |
---|

Matrix algebra |

Systems of linear equations |

Eigen values and Eigen vectors |

## Calculus |
---|

Mean value theorems |

Theorems of integral calculus |

Evaluation of definite and improper integrals |

Partial derivatives |

Maxima and minima |

Multiple integrals |

Fourier series |

Vector identities |

Directional derivatives |

Line Surface and Volume integrals |

Stokes, Gauss and Green’s theorems |

Gauss and Green's theorem |

## Differential equations |
---|

First order equation in linear and nonlinear |

Higher order linear differential equations with constant coefficients |

Method of variation of parameters |

Cauchy's and Euler's equations |

Initial and boundary value problems |

Partial Differential Equations and variable separable method |

## Complex variables |
---|

Analytic functions |

Cauchy's integral theorem and integral formula |

Taylor's and Laurent' series |

Residue theorem, solution integrals |

## Probability and Statistics |
---|

Probability and Sampling theorems |

Conditional probability |

Probability Density Function |

Mean |

Median |

Mean, median, mode & standard deviation |

Random variablessis |

Discrete and continuous distributions |

Exponential |

Poisson, normal & binomial distributions |

Normal and Binomial distribution |

Correlation and regression analysis |

Correlation and regression analy |

## Numerical methods |
---|

Solutions of non linear algebraic equations |

Single and multi step methods for differential equations |

### Electronics and communication engineering

## Networks |
---|

Network graphs |

Matrices associated with graphs |

Incidence |

Fundamental cut set and fundamental circuit matrices |

Solution methods of nodal and mesh analysis |

Network theorems |

Superposition |

Thevenin and Norton's maximum power transfer |

Wye Delta transformation |

Steady state sinusoidal analysis using phasors |

Linear constant coefficient differential equations |

Time domain analysis of simple RLC circuits |

Solution of network equations using Laplace transform |

Frequency domain analysis of RLC circuits |

2-port network parameters |

Driving point and transfer functions |

State equations for networks |

Solution methods: nodal and mesh analysis |

## Electronic devices |
---|

Energy bands in silicon, intrinsic and extrinsic silicon |

Carrier transport in silicon |

Diffusion current, Drift current, Mobility and Resistivity of carrier transport in silicon |

Generation and recombination of carriers |

P-N junction diode |

Zener diode |

Tunnel diode |

BJT |

JFET |

MOS capacitor |

MOSFET |

LED |

PIN and avalanche photo diode |

Basics of LASERs |

Device technology |

Integrated circuits fabrication process |

Oxidation |

Diffusion |

Ion implantation |

Photolithography |

Ntub |

P tub and twin tub CMOS process |

Energy bands in silicon |

Intrinsic and extrinsic silicon |

## Analog circuits |
---|

Small signal equivalent circuits of diodes |

BJTs |

MOSFETs and analog CMOS |

Simple diode circuits |

Clipping |

Clamping |

Rectifier |

Biasing and bias stability of transistor and FET amplifiers |

Amplifiers |

Singleand multi stage |

Differential and operational feedback and power |

Frequency response of amplifiers |

Simple opamp circuits |

Filters |

Sinusoidal oscillators |

Criterion for oscillation |

Single transistor and op amp configurations |

Function generators and wave shaping circuits |

555 Timers |

Power supplies |

## Digital circuits |
---|

Boolean algebra |

Minimization of Boolean functions |

Logic gates |

Digital IC families Like DTL, TTL, ECL, MOS, CMOS |

Combinatorial circuits |

Arithmetic circuits |

Code converters |

Multiplexers |

Decoders |

PROMs and PLAs |

Sequential circuits |

Latches and flip-flops |

Counters and shift registers |

Sample and hold circuits, ADCs,DACs |

Semiconductor memories: RAM, ROM, storage devices, printer, connectors, floppy drives, organization of computer, simple programme |

Microprocessor 8085 |

Architecture |

Programming |

Memory and I and O interfacing |

## Signals and systems |
---|

Definitions and properties of Laplace transform |

Continuous time and discrete time Fourier series |

Continuous time and discrete time Fourier Transform |

DFT and FFT |

Z-transform |

Sampling theorem |

Linear Time Invariant Systems |

Definitions and properties |

Causality, stability, impulse response, convolution, poles and zeros |

Parallel and cascade structure |

Frequency response |

Group delay |

Phase delay |

Signal transmission through LTI systems |

## Control systems |
---|

Basic control system components |

Block diagrammatic description |

Reduction of block diagrams |

Open loop and closed loop systems and stability analysis of these systems |

Signal flow graphs and their use in determining transfer functions of systems |

Transient and steady state analysis of LTI control systems and frequency response |

Tools and techniques for LTI control system analysis |

Root loci |

Routh Hurwitz criterion |

Bode and Nyquist plots |

Control system compensators |

Elements of lead and lag compensation |

Elements of ProportionalIntegral-Derivative control |

State variable representation and solution of state equation of LTI control systems |

## Communications |
---|

Deterministic and Random signals |

Types of noise |

Autocorrelation |

Power spectral density |

Analog communication systems |

Amplitude and angle modulation and demodulation systems |

spectral analysis of these operations |

superheterodyne receivers |

Elements of hardware |

Realizations of analog communication systems |

Signal to noise ratio calculations for amplitude modulation and frequency modulation for low noise conditions |

Fundamentals of information theory and channel capacity theorem |

Digital communication systems |

Pulse code modulation |

Differential pulse code modulation |

Digital modulation schemes |

Amplitude |

Phase and frequency shift keying schemes like ASK, PSK, FSK |

Matched filter receivers |

Bandwidth consideration and probability of error calculations for these schemes |

Basics of TDMA, FDMA and CDMA and GSM |

## Electromagnetics |
---|

Elements of vector calculus |

Gradient, divergence and curl |

Gauss' and Stokes' theorems |

Maxwell's equations |

Differential and integral forms |

Wave equation |

Poynting vector |

Plane waves |

Propagation through various media |

Reflection and refraction |

Phase and group velocity |

Skin depth |

Transmission lines |

Characteristic impedance |

Impedance transformation |

Smith chart |

Impedance matching |

S parameters |

Pulse excitation |

Waveguides |

Modes in rectangular waveguides |

Boundary conditions |

Cut off frequencies |

Dispersion relations |

Basics of propagation in dielectric waveguide and optical fibers |

Basics of Antennas |

Dipole antennas |

Radiation pattern |

Antenna gain |

### AP PGECET Food Technology Syllabus

### Food technology

## Food chemistry and nutrition |
---|

Food chemistry |

Carbohydrates |

Structure and functional properties of mono, di and oligo polysaccharides including starch |

Cellulose |

Pectic substances and dietary fibre |

Proteins |

Classification and structure of proteins in food |

Lipids |

Classification and structure of lipids |

Rancidity of fats |

Rancidity, polymerization and polymorphism |

Pigments-Carotenoids |

Chlorophylls |

Anthocyanins |

Tannins and myoglobin |

Food flavours-Terpenes |

Esters |

Ketones and quinones |

Enzymes-Enzymatic and non-enzymatic browning in different foods |

Nutrition |

Balanced diet |

Essential amino acids and fatty acids |

PER |

Water soluble and fat soluble vitamins |

Role of minerals in nutrition |

Antinutrients |

Nutrition deficiency diseases |

Structure and functional properties of mono |

Di and oligo polysaccharides including starch |

Enzymes-enzymatic |

Non-enzymatic browning in different foods |

## Food |
---|

Food Microbiology |

Characteristics of microorganisms |

Morphology, structure and detection of bacteria |

Yeast and mold in food |

Spores and vegetative cells |

Microbial growth in food |

Intrinsic' and extrinsic factors |

Growth and death kinetics |

Serial dilution method for quantification |

Food spoilage |

Contributing factors |

Spoilage bacteria |

Microbial spoilage of milk and milk products |

Meat and meat products |

Foodbome disease |

Toxins produced by Staphylococcus, Clostridium and Aspergillus |

Bacterial pathogens |

Salmonella |

Bacillus |

Listeria |

Escherichia coli |

Shigella |

Campylobacter |

Biotechnology |

Fermented food |

Buttermilk |

Yoghurt |

Cheese |

Sausage |

Alcoholic beverage |

Vinegar |

Wine |

Beer |

Whisky |

Sauerkraut and soya sauce |

Morphology |

Structure and detection of bacteria |

Toxins produced by staphylococcus |

Clostridium and aspergillus |

## Food technology |
---|

Cereals |

Pulses and oil seeds |

Composition |

Nutritive value |

Processing methods and products of rice, wheat, and maize |

Barley, oats and minor millets |

Bengal gram |

Red gram |

Green gram |

Black gram |

Chick peas |

Ground nut |

Soya bean |

Sunflower and other oil seeds |

Fruits, Vegetables and plantation crops |

Extraction |

Clarification concentration and packaging of fruit juice |

Production of jam |

Jelly |

Marmalade |

Squash |

Candies and pickles |

Pectin from fruit waste |

Tea |

Coffee |

Chocolate and essential oils from spices |

Meat |

Fish |

Poultry and milk |

Post mortem changes of meat |

Freezing |

Aging |

Pickling |

Smoking and tenderization of meat |

Drying and canning of fish |

Structure, composition, nutritive value and functional properties of eggs and its preservation by different methods |

Milk and milk products processing |

Milk processing flow sheet |

Filtration/clarification |

Storage of milk |

Standardization |

simple problems in standardization |

Homogenization |

Pasteurization |

Types of pasteurization process |

Manufacture of Cream |

Butter |

Ghee |

Milk powder |

Cheese |

## Food engineering |
---|

Fluid Mechanics |

Nature of fluids |

Flow properties of fluids |

Flow through pipes and fittings |

Flow measurement |

Transportation of fluids |

Pumps |

Compressors and blowers |

Heat transfer by conduction |

Heat transfer by convection |

Heat transfer by radiation |

Heat transfer by boiling and condensation |

Steady and unsteady state heat transfer |

Other unit operations |

Size reduction |

Homogenization |

Filtration |

Sedimentation |

Centrifugation |

Sieving |

Mixing |

Extraction |

Crystallization |

Evaporation |

Drying and extrusion |

Types of equipment used in each unit operation and their selection |

Applications in food industry |

## Food quality and standards |
---|

Food Quality |

Food Quality and Quality Attributes |

Classification of Quality Attributes and their role in food Quality |

Quality Assessment of Food materials |

Fruits and vegetables |

Cereals and pulses |

Dairy Products |

Meat |

Poultry |

Egg and Processed food Products sensory |

Evaluation of Food Quality and its methods Food Adulteration and Food Safety |

Standards |

Scope of FSSAI / PFA Act 1954 and R u l e s 1955 |

Definitions and standards of quality |

Rules of FPO and MPO |

FSMS -22000 2005 |

Various elements included in the standard |

Introduction to the family of ISO 22000 standards |

Comparison of ISO 9001 2008 vs ISO 22000 2005 |

FSSAI |

HACCP |

Terminology |

Principles |

Identification of CCPs |

Application of HACCP System and the logic sequence involved |

### AP PGECET Geoengineering & Geoinformatics Syllabus

### Engineering mathematics

## Linear algebra |
---|

Matrix algebra |

Systems of linear equations |

Eigen values and Eigen vectors |

## Calculus |
---|

Functions of single variable |

Functions of Limit, continuity and differentiability |

Mean value theorems |

Evaluation of definite and improper integrals |

Partial derivatives |

Total derivative |

Maxima and minima |

Gradient |

Gradient, divergence and curl |

Vector identities |

Directional derivatives |

Line |

Line, surface & volume integrals |

Stokes, Gauss and Green’s theorems |

Gauss and Green's theorems |

Functions of limit |

Continuity and differentiability |

## Complex variables |
---|

Analytic functions |

Cauchy's integral theorem |

Taylor and Laurent series |

## Probability and Statistics |
---|

Definitions of probability and sampling theorems |

Conditional probability |

Mean |

Median |

Mean, median, mode & standard deviation |

Random variables |

Exponential |

Poisson, normal & binomial distributions |

Normal and binomial distributions |

## Geo-engineering |
---|

Geo-Engineering of Continents |

Earth composition |

Earth |

Orbit |

Oceans |

Depth |

Bottom |

Relief Rocks |

Kinds of rocks |

Igneous of Sedimentary,Metamorphic Rocks origin and classification |

Silicate Minerals and Non-Silicate Minerals, and physical properties of minerals |

## Surveying methods |
---|

Topographic surveying, |

Theodolite applications |

Topographic sheets |

Aerial photo formats Maps |

Types of photographs |

vertical and oblique photographs |

Aerial cameras |

Lens |

Optical axis |

Focal length of |

Focal plane and fiducial marks |

Principal Point |

Geometry of vertical photographs map projections |

Fundamentals of cartography |

## Physical principles of remote sensing, electromagnetic spectrum |
---|

Electro Magnetic Radiation |

Velocity of EM radiation |

Propagation of EM waves |

Fundamentals of Radiometry |

Measure Geometry-concept of the solid angle |

radiometric quantities |

classification of Remote sensor |

selection of sensor parameters |

spatial resolution |

spectral resolution |

radiometric resolution |

Temporal resolution Optical and Infrared Microwave sensors |

Sun-synchronous and Geo- synchronous satellites |

Land coverage |

Repetitivity |

Along track and Across track stereovision capability |

IRS, LANDSAT, SPOT, CANADA, JAPAN, EUROPEAN, satellite series. |

## GIS concepts |
---|

Components of GIS |

Hardware |

Software |

Data Files and Data bases |

Data Types and Data base structures |

Hierarchical |

Network of Relational |

Vector Data Structure |

Vector Data Model |

Arcs and Storing area |

Data Base Creation |

Digitizer |

Topology |

Euler Equation |

Topological Consistency |

Topological Errors |

Digital Elevation Models |

Data Transformation |

Change in Dimensionality |

Change in position |

Rubber Sheeting and Tin Sheeting |

Vector to Raster |

Raster to Vector Conversion Vector data |

Polygon overlay |

polygon statistics |

Network Analysis and Non-spatial data analysis |

Structured Query Language |

Modeling |

Definition |

Spatial Modeling |

External Model |

Conceptual Model |

Logical Model |

Internal Model |

GIS applications in Resource Management Data |

capture using GPS for GIS FM studies |

Object Oriented Database Models |

Recent trends in GIS |

applications Study of rain fall |

estimation of run-off and evapotranspiration |

Water table environment |

meaning and scope |

components Environments |

Soils-texture |

strengths |

porosity and permeability |

### Geoengineering

## Geoengineering of continents |
---|

## Earth composition |
---|

## Earth |
---|

## Orbit |
---|

## Oceans |
---|

## Depth |
---|

## Bottom |
---|

## Relief |
---|

### Rocks

## Kinds of rocks |
---|

## Igneous of sedimentary,metamorphic rocks origin and classification |
---|

## Silicate minerals and non-silicate minerals, and physical properties of minerals |
---|

### Surveying methods

## Topographic surveying |
---|

## Theodolite applications |
---|

## Topographic sheets |
---|

## Aerial photo formats maps |
---|

## Types of photographs |
---|

## vertical and oblique photographs |
---|

## Aerial cameras |
---|

## Lens |
---|

## Optical axis |
---|

## Focal length |
---|

## Focal plane and fiducial marks |
---|

## Principal point |
---|

## Geometry of vertical photographs map projections |
---|

## Fundamentals of cartography |
---|

### Physical principles of remote sensing, electromagnetic spectrum

## Electro magnetic radiation |
---|

## Velocity of EM radiation |
---|

## Propagation of EM waves |
---|

## Fundamentals of radiometry |
---|

## Measure geometry-concept of the solid angle |
---|

## Radiometric quantities |
---|

## Classification of remote sensor |
---|

## Selection of sensor parameters |
---|

## Spatial resolution |
---|

## Spectral resolution |
---|

## Radiometric resolution |
---|

## Temporal resolution optical and infrared microwave sensors |
---|

## Sun-synchronous and geo- synchronous satellites |
---|

## Land coverage |
---|

## Repetitivity |
---|

## Along track and across track stereovision capability |
---|

## IRS, LANDSAT, SPOT, Canada, Japan, European, satellite series |
---|

### GIS concepts

## Components of GIS |
---|

## Hardware |
---|

## Software |
---|

## Data files and data bases |
---|

## Data types and data base structures |
---|

## Hierarchical, network, relational |
---|

## Vector data structure |
---|

## Vector data model |
---|

## Arcs and storing area |
---|

## Data base creation |
---|

## Digitizer |
---|

## Topology |
---|

## Euler equation |
---|

## Topological consistency |
---|

## Topological errors |
---|

## Digital elevation models |
---|

## Data transformation |
---|

## Change in dimensionality |
---|

## Change in position |
---|

## Rubber sheeting and tin sheeting |
---|

## Vector to raster |
---|

## Raster to vector conversion, vector data |
---|

## Polygon overlay |
---|

## polygon statistics |
---|

## Network analysis and non-spatial data analysis |
---|

## Structured query language |
---|

## Modelling |
---|

## Definition |
---|

## Spatial modelling |
---|

## External model |
---|

## Conceptual model |
---|

## Logical model |
---|

## Internal model |
---|

## GIS applications in resource management data |
---|

## capture using GPS for GIS FM studies |
---|

## Object oriented database models |
---|

## Recent trends in GIS |
---|

## Applications study of rain fall |
---|

## Estimation of run-off and evapotranspiration |
---|

## Water table environment |
---|

## meaning and scope |
---|

## components Environments |
---|

## Soils-texture |
---|

## Strengths |
---|

## Porosity and permeability |
---|

### AP PGECET Instrumentation Engineering Syllabus

### Engineering mathematics

## Linear algebra |
---|

Matrix algebra |

Systems of linear equations |

Eigen values and Eigen vectors |

## Calculus |
---|

Mean value theorems |

Theorems of integral calculus |

Evaluation of definite and improper integrals |

Partial derivatives |

Maxima and minima |

Multiple integrals |

Fourier series |

Vector identities |

Directional derivatives |

Line |

Line, surface & volume integrals |

Stokes, Gauss and Green’s theorems |

Gauss and Green's theorems |

## Differential equations |
---|

First order equation of linear and nonlinear |

Higher order linear differential equations with constant coefficients |

Method of variation of parameters |

Cauchy's and Euler's equations |

Initial and boundary value problems |

Partial Differential Equations and variable separable method |

## Complex variables |
---|

Analytic functions |

Cauchy's integral theorem and integral formula |

Aylor's and Laurent' series |

Residue theorem |

Solution integrals |

## Probability and Statistics |
---|

Probability |

Sampling theorems |

Conditional probability |

Probability Density Function |

Mean |

Median |

Mean, median, mode & standard deviation |

Random variables |

Discrete and continuous distributions |

Exponential |

Poisson, normal & binomial distributions |

Normal and Binomial distribution |

Correlation and regression analysis |

## Numerical methods |
---|

Solutions of non linear algebraic equations |

Single and multi step methods for differential equations |

### Instrumentation engineering

## Basics of circuits and measurement systems |
---|

Kirchoff's laws |

Mesh and nodal analysis |

Circuit theorems |

One port and two port Network Functions |

Static and dynamic characteristics of Measurement Systems |

Error and uncertainty analysis |

Statistical analysis of data and curve fitting |

## Transducers, mechanical measurement and industrial instrumentation |
---|

Resistive |

Capacitive |

Inductive and piezoelectric transducers and their signal conditioning |

Measurement of displacement |

Velocity and acceleration of translational and rotational |

force, torque, vibration and shock of measurements |

Measurement of pressure |

Measurements of Flow |

Measurement of Temperature and liquid level |

Measurement of pH |

Conductivity |

Viscosity and humidity |

Temperature and liquid level |

## Analog electronics |
---|

Characteristics of diode |

BJT |

JFET and MOSFET |

Diode circuits |

Transistors at low and high frequencies |

Amplifiers |

Single and multistage amplifiers |

Feedback amplifiers |

Operational amplifiers |

Characteristics and circuit configurations |

Instrumentation amplifier |

Precision rectifier |

V to I and I to V converter |

Op Amp based active filters |

Oscillators and signal generators |

## Digital electronics |
---|

Combinational logic circuits |

Minimization of Boolean functions |

IC families |

TTL |

MOS and CMOS |

Arithmetic circuits |

Comparators |

Schmitt trigger |

Timers and mono stable multi vibrator |

Sequential circuits |

Flip flops |

Counters |

Shift registers |

Multiplexer |

S/H circuit |

Analog to Digital and Digital to Analog converters |

Basics of number system |

Microprocessor applications |

Memory and input output interfacing |

Microcontrollers |

## Signals, systems and communications |
---|

Periodic and aperiodic signals |

Impulse response |

Transfer function and frequency response of first and second order systems |

Fourier transform |

Laplace transform |

Z transform |

Convolution |

Correlation and characteristics of linear time invariant systems |

Discrete time system |

Impulse and frequency response |

Pulse transfer function |

IIR and FIR filters |

Amplitude and frequency modulation and demodulation |

Sampling theorem |

Pulse code modulation |

Frequency and time division multiplexing |

Amplitude shift keying |

Frequency shift keying and pulse shift keying for digital modulation |

## Electrical and electronic measurements |
---|

Bridges and potentiometers |

Measurement of R,L and C |

Measurements of voltage |

Measurement of Current |

Measurement of Power |

Measurement of Power factor and energy |

A.C and D.C current probes |

Extension of instrument ranges |

Q meter and waveform analyzer |

Digital voltmeter and multi meter |

Time |

phase and frequency measurements |

Cathode ray oscilloscope |

Serial and parallel communication |

Shielding and grounding |

Current |

Power |

Power factor and energy |

Measurements of voltage |

## Control systems and process control |
---|

Feedback principles |

Signal flow graphs |

Transient Response |

Steady state errors |

Routh and Nyquist criteria |

Bode plot |

Root loci |

Time delay systems |

Phase and gain margin |

State space representation of systems |

Mechanical |

Mechanical, hydraulic and pneumatic system components |

Synchro pair |

Servo and step motors |

On-off cascade |

P, PI, PID, feed forward and derivative controller |

Fuzzy controllers |

## Analytical, optical and biomedical instrumentation |
---|

Mass spectrometry |

UV |

Visible and IR spectrometry |

Xray and nuclear radiation measurements |

Optical sources and detectors |

LED characterstics |

Laser characterstics |

Photo diode , photo resistor and their characteristics |

Interferometers |

Applications in metrology |

Basics of fiber optics |

Biomedical instruments |

EEG, ECG and EMG |

Clinical measurements |

Ultrasonic transducers and Ultrasonography |

Principles of Computer Assisted Tomography |

### AP PGECET Mechanical Engineering Syllabus

### Engineering mathematics

## Linear algebra |
---|

Matrix algebra |

Systems of linear equations |

Eigen values and Eigen vectors |

## Calculus |
---|

Functions of single variable |

Limit |

Continuity and differentiability |

Mean value theorems |

Evaluation of definite and improper integrals |

Partial derivatives |

Total derivative |

Maxima and minima |

Gradient |

Gradient, divergence and curl |

Vector identities |

Directional derivatives |

Line |

Line, surface & volume integrals |

Stokes, Gauss and Green’s theorems |

Gauss and Green's theorems |

## Differential equations |
---|

First order equations of linear and nonlinear |

Higher order linear differential equations with constant coefficients |

Cauchy's and Euler's equations |

Initial and boundary value problems |

Laplace transforms |

Solutions of one dimensional heat and wave equations and Laplace equation |

## Complex variables |
---|

Analytic functions |

Cauchy's integral theorem |

Taylor and Laurent series |

## Probability and Statistics |
---|

Definitions of probability and sampling theorems |

Conditional probability |

Mean and median, mode and standard deviation |

Random variables |

Exponential |

Poisson, normal & binomial distributions |

Normal and binomial distributions |

## Numerical methods |
---|

Numerical solutions of linear and non linear algebraic equations |

Integration by trapezoidal and Simpson's rule |

Single and multi step methods for differential equations |

### Applied mechanics and design

## Engineering mechanics |
---|

Free body diagrams and equilibrium |

Trusses and frames |

Virtual work |

Kinematics and dynamics of particles and of rigid bodies in plane motion |

Including impulse and momentum linear and angular and energy formulations |

Impact of engineering machine |

## Strength of materials |
---|

Stress and strain |

Stress strain relationship and elastic constants |

Mohr's circle for plane stress and plane strain |

Thin cylinders |

Shear force and bending moment diagrams |

Bending and shear stresses |

Deflection of beams |

Torsion of circular shafts |

Euler's theory of columns |

Strain energy methods |

Thermal stresses |

## Theory of machines |
---|

Displacement |

Velocity and acceleration analysis of plane mechanisms |

Dynamic analysis of slider-crank mechanism |

Gear trains |

Fly wheels |

## Vibrations |
---|

Free and forced vibration of single degree of freedom systems |

Effect of damping |

Vibration isolation |

Resonance of vibration |

Critical speeds of shafts |

## Design |
---|

Design for static and dynamic loading |

Failure theories, Mohr’s circle(stress), deflection of beams |

Fatigue strength and the S-N diagram |

Principles of the design of machine elements such as bolted |

Riveted and welded joints |

Shafts Design |

Spur gears |

Rolling and sliding contact bearings |

Brakes and clutches |

### Fluid mechanics and thermal sciences

## Fluid mechanics |
---|

Fluid properties |

Fluid statics |

Manometry |

Fluid Mechanics of buoyancy |

Control volume analysis of mass |

Momentum and energy |

Fluid acceleration |

Differential equations of continuity and momentum |

Bernoulli's equation |

Viscous flow of incompressible fluids |

Boundary layer |

Elementary turbulent flow |

Flow through pipes |

Head losses in pipes, bends |

## Heat transfer |
---|

Modes of heat transfer |

One dimensional heat conduction |

Resistance concept |

Electrical analogy |

Unsteady heat conduction |

Fins of heat transfer |

Dimensionless parameters in free and forced convective heat transfer |

Various correlations for heat transfer in flow over flat plates and through pipes |

Thermal boundary layer |

Effect of turbulence |

Radiative heat transfer |

Black and grey surfaces |

Shape factors |

Network analysis |

Heat exchanger performance |

LMTD and NTU methods |

## Thermodynamics |
---|

Zeroth |

First and second laws of thermodynamics |

Thermodynamic system and processes |

Carnot cycle |

Irreversibility and availability |

Behaviour of ideal and real gases |

Properties of pure substances |

Calculation of work and heat in ideal processes |

Analysis of thermodynamic cycles related to energy conversion |

## Applications |
---|

Power Engineering |

Steam Tables |

Rankine |

Brayton cycles with regeneration and reheat |

I.C. Engines |

Air standard Otto |

Diesel cycles |

Refrigeration and air conditioning |

Vapour refrigeration cycle |

Heat pumps |

Gas refrigeration |

Reverse Brayton cycle |

Moist air |

Psychrometric chart |

Basic psychrometric processes |

Turbomachinery |

Peltonwheel |

Francis and Kaplan turbines impulse and reaction principles |

Velocity diagrams |

### Manufacturing and industrial engineering

## Engineering materials |
---|

Structure and properties of engineering materials |

Heat treatment |

Stress strain diagrams for engineering materials |

Stress strain diagrams for engineering materials |

## Metal casting |
---|

Design of patterns |

Moulds and cores |

Solidification and cooling |

Riser and gating design |

Design considerations |

## Forming |
---|

Plastic deformation and yield criteria |

Fundamentals of hot and cold working processes |

Load estimation for bulk forging and rolling, extrusion and drawing |

Sheet shearing and deep drawing and bending metal forming processes |

Principles of powder metallurgy |

## Joining |
---|

Physics of welding |

Brazing and soldering |

Adhesive bonding |

Design considerations in welding |

## Machining and machine tool operations |
---|

Mechanics of machining |

Single and multi point cutting tools |

Tool geometry and materials |

Tool life and wear |

Economics of machining |

Principles of non traditional machining processes |

Principles of work holding |

Principles of design of jigs and fixtures |

## Metrology and inspection |
---|

Limits |

Fits and tolerances |

Linear and angular measurements |

Comparators |

Gauge design |

Inter ferometry |

Form and finish measurement |

Alignment and testing methods |

Tolerance analysis in manufacturing and assembly |

## Computer integrated manufacturing |
---|

Basic concepts of CAD/CAM and their integration tools |

## Production planning and control |
---|

Forecasting models |

Aggregate production planning |

Scheduling |

Materials requirement planning |

## Inventory control |
---|

Deterministic and probabilistic models |

Safety stock inventory control systems |

## Operations research |
---|

Linear Programming |

Simplex and duplex method |

Ttransportation |

Assignment |

Network flow models |

Simple queuing models |

PERT and CPM |

### AP PGECET Metallurgy Syllabus

### Engineering mathematics

## Linear algebra |
---|

Matrices and determinants |

Systems of linear equations |

Eigen values and Eigen vectors |

## Calculus |
---|

Limit |

Continuity and differentiability |

Partial derivatives |

Maxima and minima |

Sequences and series |

Test for convergence |

Fourier series |

## Vector calculus |
---|

Gradient |

Gradient, divergence and curl |

Line |

Line, surface & volume integrals |

Stokes, Gauss and Green’s theorems |

Gauss and Green's theorems |

## Differential equations |
---|

Linear and non-linear first order ODEs |

Higher order linear ODEs with constant coefficients |

Cauchy's and Euler's equations |

Laplace transforms |

PDEs Laplace |

Heat and wave equations |

Pdes laplace |

## Probability and Statistics |
---|

Probability and Sampling Theorem |

Conditional probability |

Probability Density Function |

Mean |

Median |

Mean, median, mode & standard deviation |

Random variables |

Exponential |

Poisson, normal & binomial distributions |

Normal and binomial distributions |

Correlation and regression analysis |

Mean, median, mode and standard deviation |

## Numerical methods |
---|

Solutions of linear and non-linear algebraic equations |

Integration of trapezoidal and Simpson's rule |

Single and multi-step methods for differential equations |

### Metallurgical engineering

## Thermodynamics and rate processes |
---|

Laws of thermodynamics |

Activity |

Equilibrium constant |

Applications to metallurgical systems |

Solutions |

Phase equilibria |

Ellingham and phase stability diagrams |

Thermodynamics of surfaces |

Interfaces and defects |

Adsorption and segregation |

Basic kinetic laws |

Order of reactions |

Rate constants and rate limiting steps |

Principles of electro chemistry single electrode potential |

Electro chemical cells and polarizations |

Aqueous corrosion and protection of metals |

Oxidation and high temperature corrosion characterization and control |

Heat transfer conduction |

Convection and heat transfer coefficient relations |

Radiation |

Mass transfer diffusion and Fick's laws |

Mass transfer coefficients |

Momentum Transfer Concepts of Viscosity |

Shell balances |

Bernoulli's equation |

Friction factors |

Principles of electro chemistry single electrode potential |

Heat transfer conduction |

## Extractive metallurgy |
---|

Minerals of economic importance |

Comminution techniques |

Size classification |

Flotation |

Gravity and other methods of mineral processing |

Agglomeration |

Pyro hydro and Electro metallurgical processes |

Material and energy balances |

Principles and processes for the extraction of non ferrous metals aluminium, copper, zinc, lead, magnesium, nickel, titanium and other rare metals |

Principles of iron and steel making |

Role structure and properties of slags |

Metallurgical coke |

Blast furnace |

Direct reduction processes |

Primary and secondary steel making |

Ladle metallurgy operations including deoxidation |

Desulphurization |

Sulphide shape control |

Inert gas rinsing and vacuum reactors |

Secondary refining processes including AOD, VAD, VOD, VAR and ESR |

Ingot and continuous casting |

Stainless steel making |

Furnaces and refractories |

Crystal structure and bonding characteristics of metals |

Alloys |

Ceramics and polymers |

Structure of surfaces and interfaces |

Nano crystalline and amorphous structures |

Solid solutions |

Solidification |

Phase transformation and binary phase diagrams |

Principles of heat treatment of steels |

Cast iron and aluminum alloys |

Surface treatments |

Recovery |

Recrystallization and grain growth |

Industrially important ferrous and non ferrous alloys |

Elements of X-ray and electron diffraction |

Principles of scanning and transmission electron microscopy |

Industrial ceramics |

Polymers and composites |

Electronic basis of thermal |

Optical |

Electrical and Magnetic properties of materials |

Electronic and Optoelectronic materials |

## Physical metallurgy |
---|

Crystal structure and bonding characteristics of metals |

Alloys |

Ceramics and polymers |

Structure of surfaces and interfaces |

Nano crystalline and amorphous structures |

Solid solutions |

Solidification |

Phase transformation and binary phase diagrams |

Principles of heat treatment of steels |

Cast iron and aluminum alloys |

Surface treatments |

Recovery |

Recrystallization and grain growth |

Industrially important ferrous and non ferrous alloys |

Elements of X-ray and electron diffraction |

Principles of scanning and transmission electron microscopy |

Industrial ceramics |

Polymers and composites |

Electronic basis of thermal |

Optical |

Electrical and Magnetic properties of materials |

Electronic and Optoelectronic materials |

## Mechanical metallurgy |
---|

Elasticity |

Yield criteria and plasticity |

Defects in crystals |

Elements of dislocation theory |

Types of dislocations |

Slip and twinning |

Source and multiplication of dislocations |

Stress fields around dislocations |

Partial dislocations |

Dislocation interactions and reactions |

Strengthening mechanisms |

Tensile |

Fatigue and creep behaviour |

Super plasticity |

Fracture |

Griffith theory |

Basic Concepts of Linear Elastic and elasto plastic fracture mechanics |

Ductile to brittle transition |

Fracture toughness |

Failure analysis |

Mechanical testing in tension, compression, torsion, hardness, impact, creep, fatigue, fracture toughness and formability |

Fracture griffith theory |

## Manufacturing processes |
---|

Metal casting |

Patterns and moulds including mould design involving feeding |

Gating and risering |

Melting |

Casting practices in sand casting |

Permanent mould casting |

Investment casting and shell moulding |

Casting defects and repair |

Hot, warm and cold working of metals |

Fundamentals of metal forming processes of rolling |

Forging |

Extrusion |

Wire drawing and sheet metal forming |

Defects in forming |

Metal joining |

soldering, brazing and welding |

Common welding processes of shielded metal arc welding |

Gas metal arc welding |

Gas tungsten arc welding and submerged arc welding |

Welding metallurgy |

Problems associated with welding of steels and aluminium alloys |

Defects in welded joints |

Powder metallurgy |

NDT using dye penetrant |

Ultrasonic |

Radiography |

Eddy current |

Acoustic emission and magnetic particle methods |

Metal joining soldering |

Brazing and welding |

Metal joining soldering |

### AP PGECET Nanotechnology Syllabus

### Engineering mathematics

## Linear algebra |
---|

Matrices and determinants |

Systems of linear equations |

Eigen values and Eigen vectors |

## Calculus |
---|

Limit of Calculus |

Continuity and differentiability |

Partial derivatives |

Maxima and minima |

Sequences and series |

Test for convergence |

Fourier series |

## Vector calculus |
---|

Gradient |

Gradient, divergence and curl |

Line |

Line, surface & volume integrals |

Stokes Gauss and Green's theorems |

## Differential equations |
---|

Linear and non linear first order ODEs |

Higher order linear ODEs with constant coefficients |

Cauchy's and Euler's equations |

Laplace transforms |

PDEs Laplace |

Heat and wave equations |

## Probability and Statistics |
---|

Probability and Sampling Theorem |

Conditional probability |

Probability Density Function |

Mean |

Median |

Mean, median, mode & standard deviation |

Random variables |

Exponential |

Poisson, normal & binomial distributions |

Normal and binomial distributions |

Correlation and regression analysis |

## Numerical methods |
---|

Solutions of linear and non-linear algebraic equations |

Integration of trapezoidal and Simpson's rule |

Single and multi step methods for differential equations |

## Engineering mechanics and strength of materials |
---|

Concurrent forces in a plane and its equilibrium |

Centroids of composite plane figures |

General case of forces in a plane |

Moment of inertia of plane figures |

Parallel axis theorem |

Polar MI |

Concept mass MI |

Rectilinear translation |

Kinematics |

Principal of dynamics Motion of a particle under constant force |

Force proportional to displacement and free vibrations SHM |

D’ Albert’s principle |

Momentum |

Impulse work and energy |

Rotation of a rigid body about a fixed axis kinematics |

Equation of motion of a rigid body about a fixed axis |

Rotation under constant moment |

Torsional vibration |

Simple stresses and strains |

Stresses on inclined plane |

2 Dimensional stress systems |

Principal stress and principal planes |

Mohr's circle |

Shearing force and bending moment |

Types of loads |

Types of Supports |

SF and BM diagrams for formula |

Bending stresses in the above types of beams with rectangular and circulars sections |

Torsion of circular shafts |

Determination of shear stress |

## Fluid mechanics and heat transfer |
---|

Classification of flows |

Steady |

Unsteady |

Uniform, exponential, normal, poisson and binomial distributions. |

Non uniform |

Laminar |

Turbulent |

Rotational |

Irrotational flows |

Vorticity |

Circulation Conservation of mass Equation of continuity |

Conservation of momentum Euler’s equation |

Conservation of energy Bernoulli’s equation and its applications |

One dimensional Viscous flow |

Couette flow Plane couetee flow |

Two dimensional Viscous Flow |

Navier stokes equations and solutions |

Laminar Boundary Layer |

Momentum integral equation Flow over a flat plate Displacement thickness |

Momentum thickness and energy thickness |

Turbulent Boundary Layer |

Laminar Turbulent transition momentum equations and Reynold’s stresses |

Dimensional Analysis and Modeling Similitude |

Fundamental and derived dimensions |

Dimensionless groups |

Buckingham Theorem |

Rayleigh method |

Elements of heat transmission |

Steady state conduction |