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Physical chemistry: Unit 01

• Constitution of nucleus, Bohr's atom model, quantum numbers, Aufbau principle, electronic configuration of elements (up to-Kr), De-Broglie relation, shapes of orbital

Physical chemistry: Unit 02

• Electrovalent covalent and covalent bonds, hybridization (sp): Hydrogen bond, shapes of molecules (VSEPR theory), bond polarity resonance, elements of VBT

Physical chemistry: Unit 03

• Modes of expressing concentrations of solutions: Types of solutions, Raoult's law of colligative properties, non-ideal solution, and abnormal molecular weights

Physical chemistry: Unit 04

• Crystal lattices, unit cells, structure of ionic compounds close packed structure, ionic radii, imperfections (point defects): Properties of solids

Physical chemistry: Unit 05

• Radioactive radiations: Half-life, radioactive decay, group displacement law, structure and properties of nucleus: Nuclear reactions, disintegration series, artificial transmutation: Isotopes and their uses, radiocarbon dating

Physical chemistry: Unit 06

• Chemical equilibrium, law of mass action Kp and Kc: Le Chatelier's principle and its applications

Physical chemistry: Unit 07

• Ionic equilibria in solutions, solubility product, common ion effect, theories of acids and base hydrolysis of salts: pH, buffers

Physical chemistry: Unit 08

• Energy changes during a chemical reaction intrinsic energy, enthalpy, first law of thermodynamics: Hess's law, heats of reactions, second law of thermodynamics, entropy, free energy
• Spontaneity of a chemical reaction, free energy change and chemical equilibrium, free energy as energy available for useful work

Physical chemistry: Unit 09

• Rate of a reaction, factors affecting the rate, rate constant, rate expression, order of reaction, first order rate constant-expression and characteristics, Arrhenius equation

Physical chemistry: Unit 10

• Oxidation, oxidation number and ion-electron methods, electrolytic conduction, Faraday's laws: Voltaic cell, electrode potentials, electromotive force, Gibb's energy and cell potentials, Nernst equation, commercial cells, fuel cell
• Electrochemical theory of corrosion

Physical chemistry: Unit 11

• Colloids and catalysis, adsorption, colloids (types, preparation, and properties), emulsions, catalysis: Types and characteristics

Inorganic chemistry: Unit 01

• Furnaces, ore concentration, extraction, purification metallurgies of Na, Al, Fe, Cu, Ag, Zn, and Pb and their properties

Inorganic chemistry: Unit 02

• s, p, d, and f-block elements, periodic table, periodicity, atomic and ionic radii valency, ionization energy, electron affinity, electro negativity, metallic character

Inorganic chemistry: Unit 03

• Comparative study of the following families of element: (i) alkali metals (ii) alkaline earth metals (iii) nitrogen family (iv) oxygen family (v) halogens (vi) noble gases

Inorganic chemistry: Unit 04

• Electronic configuration of 3rd metal ions, oxidation states, other general characteristic properties, potassium permanganate, potassium dichromate

Inorganic chemistry: Unit 05

• Simple nomenclature, bonding and stability, classification and bonding in organometallics

Inorganic chemistry: Unit 06

• Chemistry involved is simple inorganic qualitative analysis, calculations based on acid base titrimetry

Organic chemistry: Unit 01

• Calculation of empirical and molecular formulae of organic compounds, nomenclature of organic compounds, common functional groups, isomerism, structure and shapes of alkanes, alkenes, and benzene
• Preparation, properties, and uses of alkanes, alkenes, and alkynes, benzene, petroleum, cracking, octane number, gasoline additives

Organic chemistry: Unit 02

• Nomenclature, methods preparation, chemical properties, correlations of physical properties with structures and uses of nitro, amino, cyana, and diazo compounds

Organic chemistry: Unit 03

• Nomenclature, methods preparation, chemical properties, correlations of physical properties with structures and uses of ethers, aldehydes, ketones, carboxylic acids, and their derivatives

Organic chemistry: Unit 04

• Polymers: Classification, method of preparation, properties and uses of polymers, dyes: Classification, structure of some important dyes
• Chemistry of drug: Introduction and classification, chemotherapy, importance of drug (antipyretic, antiseptic, antibiotic, anesthetics), chemistry in food, cosmetics, and detergent

Organic chemistry: Unit 05

• Classification, structures, and biological importance of carbohydrates, amino acids, peptides, proteins and enzymes, nucleic acids, and lipids

Mathematics: Unit 01

• Algebra of complex numbers, graphical representation of complex numbers, modulus and argument of complex numbers, square root of a complex number, triangular inequality
• Cube roots of unity
• Arithmetic, geometric, and harmonic progression, arithmetic, geometric, and harmonic means between two numbers
• Sum of squares and cubes of first natural numbers
• Quadratic equations, relations between roots and coefficients, permutations and combinations, binomial theorem (any index) exponential and logarithmic series
• Determinants up to third order and their order and their elementary properties, matrices types of matrices, adjoint and inverse of matrix, elementary properties of matrices
• Partial fraction
• Application in solving simultaneous equations up to three variables

Mathematics: Unit 02

• Trigonometry functions and their graphs, addition and subtraction formula involving multiple and submultiples angles, general solutions of triangles equations, relations between sides and angles of a triangles, solutions of triangles, inverse
• Trigonometrically functions, height and distance (simple problems)

Mathematics: Unit 03

• Rectangular Cartesian coordinates, straight-line pair to straight line, distance of a point from a line angle between two lines
• Circle, tangents, and normal system of circles
• Conic section parabola, ellipse, and hyperbola in standard forms with elementary, properties tangents and normal

Mathematics: Unit 04

• Rectangular coordinate system, direction cosine and direction ratios, equation of place in standard forms
• Perpendicular distance from a point, equation of a line angle between two lines

Mathematics: Unit 05

• Definition of vector, addition of vectors, components in three dimensional space, scalar and vector products
• Triple products, simple application in geometry and mechanics

Mathematics: Unit 06

• Function polynomial, rational trigonometric, logarithmic and exponential
• Inverse function, limit, continuity, and differentiability of functions, differentiation of rational, trigonometric and exponential functions
• Application of derivative in elementary problems in mechanics increasing and decreasing functions
• Maxima and Minima of function of one variable
• Roll's theorem and mean value theorem

Mathematics: Unit 07

• Integrations as the inverse process of differentiations, integration by the parts, by substitution and by partial fraction
• Definite integral, areas under simple cures

Mathematics: Unit 08

• Formulation of differential equation, order and degree, solutions of differential equations by separation of variable method
• Homogeneous linear differential equation of first order

Mathematics: Unit 09

• Probability addition and multiplication laws, conditional probability, binomial distribution, simple problems in correlation and regression

Mathematics: Unit 10

• Solution of equation by the methods of bisection, false-position and Newton-Raphson
• Numerical integration by trapezoidal and Simpson's rule

Mathematics: Unit 11

• Basics of computer and its operations, functional components, main parts of computer, input devices, output devices and secondary storage devices, system software, utility software, application software