IIT Joint Admission Test For MSC Mathematics

Would you please let me know through IIT, Joint Admission Test for MSC exam can I apply for Mathematics program, if yes I required your help?

[pawan]

I would like to tell you that yes, you can apply for Mathematics program through IIT, Joint Admission Test for MSC exam and here I will let you know more .

Exam pattern
Exam Mode: The exam will be organized through online mode (Computer Based Test).

Duration: The total exam duration will be three hours.

Language: Question paper will be asked in English language only.

No. of Question: There will be total 60 questions asked in the examination.

Sections: The exam has been divided into three sections.

Total Marks: The question paper will have 60 questions of 100 marks.

Negative Marking: There is no negative marking for Section B & C.

Section No. of Question
Section-A 30 MCQs (Multiple Choice Question)
Section-B 10 MSQs (Multiple Select Question)
Section-C 20 NAT (Numerical Answer Type)
Total 60 Questions

Exam pattern
Category Fee Details
One Test Paper Two Test Papers
Female (All Categories), SC, ST, PwD Rs. 750/- Rs. 1050/-
General & OBC Rs. 1500/- Rs. 2100/-

Here is the syllabus
Physics Syllabus
Mathematical Methods:
Calculus of single and multiple variables, partial derivatives, Jacobian, imperfect and perfect differentials, Taylor expansion, Fourier series. Vector algebra, Vector Calculus, Multiple integrals, Divergence theorem, Greens theorem, Stokes theorem. First order equations and linear second order differential equations with constant coefficients. Matrices and determinants, Algebra of complex numbers.

Mechanics and General Properties of Matter:
Newtons laws of motion and applications, Velocity and acceleration in Cartesian, polar and cylindrical coordinate systems, uniformly rotating frame, centrifugal and Coriolis forces, Motion under a central force, Keplers laws, Gravitational Law and field, Conservative and non-conservative forces. System of particles, Center of mass, equation of motion of the CM, conservation of linear and angular momentum, conservation of energy, variable mass systems. Elastic and inelastic collisions. Rigid body motion, fixed axis rotations, rotation and translation, moments of Inertia and products of Inertia, parallel and perpendicular axes theorem. Principal moments and axes. Kinematics of moving fluids, equation of continuity, Eulers equation, Bernoullis theorem.

Oscillations, Waves and Optics: Differential equation for simple harmonic oscillator and its general solution. Superposition of two or more simple harmonic oscillators. Lissajous figures. Damped and forced oscillators, resonance. Wave equation, traveling and standing waves in one-dimension. Energy density and energy transmission in waves. Group velocity and phase velocity. Sound waves in media. Doppler Effect. Fermats Principle. General theory of image formation. Thick lens, thin lens and lens combinations. Interference of light, optical path retardation. Fraunhofer diffraction. Rayleigh criterion and resolving power. Diffraction gratings. Polarization: linear, circular and elliptic polarization. Double refraction and optical rotation.


Electricity and Magnetism:

Coulomb law, Gausss law. Electric field and potential. Electrostatic boundary conditions, Solution of Laplaces equation for simple cases. Conductors, capacitors, dielectrics, dielectric polarization, volume and surface charges, electrostatic energy. Biot-Savart law, Amperes law, Faradays law of electromagnetic induction, Self and mutual inductance. Alternating currents. Simple DC and AC circuits with R, L and C components. Displacement current, Maxwell’s equations and plane electromagnetic waves, Poyntings theorem, reflection and refraction at a dielectric interface, transmission and reflection coefficients (normal incidence only). Lorentz Force and motion of charged particles in electric and magnetic fields.



Kinetic theory, Thermodynamics: Elements of Kinetic theory of gasses. Velocity distribution and Equipartition of energy. Specific heat of Mono-, di- and tri-atomic gasses. Ideal gas, van-der-Waals gas and equation of state. Mean free path. Laws of thermodynamics. Zeroth law and concept of thermal equilibrium. First law and its consequences. Isothermal and adiabatic processes. Reversible, irreversible and quasi-static processes. Second law and entropy. Carnot cycle. Maxwell’s thermodynamic relations and simple applications. Thermodynamic potentials and their applications. Phase transitions and Clausius-Clapeyron equation. Ideas of ensembles, Maxwell-Boltzmann, Fermi-Dirac and Bose-Einstein distributions.

Modern Physics:

Inertial frames and Galilean invariance. Postulates of special relativity. Lorentz transformations. Length contraction, time dilation. Relativistic velocity addition theorem, mass energy equivalence. Blackbody radiation, photoelectric effect, Compton effect, Bohrs atomic model, X-rays. Wave-particle duality, Uncertainty principle, the superposition principle, calculation of expectation values, Schrodinger equation and its solution for one, two and Wave-particle duality, Uncertainty principle, the superposition principle, calculation of expectation values, Schrodinger equation and its solution for one, two and three-dimensional boxes. Solution of Schrodinger equation for the one-dimensional harmonic oscillator. Reflection and transmission at a step potential, Pauli exclusion principle. Structure of atomic nucleus, mass and binding energy. Ra-dioactivity and its applications. Laws of radioactive decay

For full information please check the file