Candidates can check here the detailed syllabus for B.Tech courses:

### Physics:

**Kinematics** – Motion in a straight line, Elementary concepts of differentiation and integration for describing motion, uniformly accelerated motion, Scalar and vector quantities, relative velocity, Unit vector, etc.

**Units and Measurement** – Systems of units, fundamental and derived units, accuracy and precision of measuring instruments, Dimensions of physical quantities, etc.

**Work and Energy** – kinetic energy, work-energy theorem, potential energy of a spring, conservative forces, non-conservative forces, etc.

**Laws of Motion** – Inertia, Newton’s first law of motion, Law of conservation of linear momentum and its applications. Equilibrium of concurrent forces, laws of friction, rolling friction, etc.

**Gravitation** – Universal law of gravitation, Gravitational potential energy and gravitational potential, escape velocity, etc.

**Motion of System of Particles and Rigid Body** – Centre of mass of a uniform rod, Moment of a force, torque, angular momentum, comparison of linear and rotational motions, etc.

**Thermodynamics** – First law of thermodynamics, isothermal and adiabatic processes, reversible and irreversible processes, Heat engine and refrigerator, etc.

**Properties of Bulk Matter** – Hooke’s law, Young’s modulus, bulk modulus, Pascal’s law and its applications, Viscosity, Stokes’ law, terminal velocity, streamline and turbulent flow, application of surface tension ideas to drops, bubbles and capillary rise, etc.

**Oscillations and Waves** – Displacement as a function of time, periodic functions, oscillations of a loaded spring-restoring force and force constant, Transverse and longitudinal waves, speed of wave motion, etc.

**Current Electricity** – Flow of electric charges in a metallic conductor, drift velocity, electrical energy and power, electrical resistivity and conductivity, series and parallel combinations of resistors, Kirchhoff’s laws and simple applications, etc.

**Electrostatics** – Conservation of charge, Coulomb’s law-force between two point charges, superposition principle and continuous charge distribution, electric field lines, electric dipole, electric field due to a dipole, etc.

### Chemistry:

**Basic concepts in Chemistry** – Dalton’s atomic theory, concept of atom, Laws of chemical combination, Atomic and molecular masses, vapour density-definition, Relationship between molecular mass and vapour density, etc.

**Atomic structure** – Atomic number and atomic mass, Balmer series, Paschen series, Brackett series and Pfund series, Explanation of origin of lines in hydrogen spectrum etc.

**Solutions** – Molarity, molality, normality, mole fraction, Vapour pressure of solutions and Raoult’s law, depression of freezing point, elevation of boiling point, osmotic pressure, etc.

**Chemical Kinetics** – Commercial importance of rate studies, First order reaction, numerical problems, Determination of the order of a reaction by the graphical and the Ostwald’s isolation method. fractional order and pseudo first order reactions with illustrations, etc.

**Chemical thermodynamics** – State functions, Spontaneous and non-spontaneous processes, First law of thermodynamics -internal energy and enthalpy, enthalpy of bond dissociation, combustion, formation, etc.

**Periodic properties** – Modern periodic law and present form of periodic table, comparison of size of cation and anion with the parent atom, Ionization energy, electron affinity, etc.

**Environmental chemistry** – Atmospheric pollution – tropospheric and stratospheric, Greenhouse effect and global warming, Particulate pollutants – smoke, dust, smog, fumes, mist, their sources, etc.

**Basic principles of organic chemistry** – Shapes of simple molecules – hybridization, compounds containing halogens, oxygen, nitrogen and sulphur, isomerism – structural and stereoisomerism, etc.

**Aldehyde and Ketones** – Relative reactivities of aldehydes and ketones, important reactions such as nucleophilic addition, Cannizzaro reaction, Haloform reaction, etc.

**Polymers** – General methods of polymerization – addition and condensation, copolymerization, some important polymers with emphasis on their monomers and uses, natural and synthetic rubber and vulcanization, etc.

### Mathematics:

**Sets, Relations and Functions** – Relations and functions, Sets, Trigonometric functions, Inverse trigonometric functions, etc.

**Algebra** – Complex numbers and quadratic equations, Permutations and combinations, Sequence and series, Determinants, Principle of mathematical induction, Linear inequalities, Binomial theorem.

**Calculus** – Continuity and differentiability, Integrals, Limits and derivatives, Applications of derivatives, Differential equations, Applications of the integrals, etc.

**Statistics and Probability** – Mean deviation, variance and standard deviation, Analysis of frequency distributions, outcomes, sample spaces, exhaustive events, mutually exclusive events, Probability of an event, probability of ‘not’, ‘and’, & ‘or’ events.

**Linear Programming** – Objective function, optimization, mathematical formulation of L.P. problems, graphical method of solution, feasible and infeasible solution, etc.

**Mathematical Reasoning** – Connecting words/phrases, Validating the statements involving the connecting words – difference between contradiction, converse and contrapositive.

**Coordinate Geometry, Vectors and Three-Dimensional Geometry** – Straight lines, Vectors, Three-dimensional geometry, Conic sections, ellipse, parabola, hyperbola, a point, a straight line and pair of intersecting lines, etc.

### English:

Modals (have to/had to, must, should, need, ought to and their negative forms), Usages in English, Use of proper tense and sequence of tense, Determiners/ Use of proper articles, Vocabulary, Subject – verb concord, Sentence structure, Clauses, Pronouns, etc.