IIT-JAM has a full form of (Joint Admission Test) for M.Sc. (JAM) conducted by Indian Institution of Science (IISc) Bangalore and IITs for the admission in MSc.. Degree programs at IISc, Bangalore and M.Sc. (Two Years), Joint M. Sc. -PhD Dual Degree, Joint M.Sc. –PhD, M. Sc. -M. tech, M.Sc. – M.S. (Research) /PhD Dual Degree and other degrees after Bachelor’s Degree Programs at IITs. The main aim of this examination is to make Science as a better career development option for bright Students all over India. The environment, interactions and infrastructure which is given to the students at these top Institutes like IISC and IITs motivate the students pursue their career not only in R&D but also in the other areas of science and tech.

New exam pattern and mode of exam for IIT-JAM:

From 2017, Examination of IIT-JAM conducted as Computer Based Test( CBT)i.e. online for all Test Papers . All the papers of IIT-JAM will be of Objective Type with three different patterns of question which are mentioned as under:

1. Multiple Choice Questions (MCQ’s): under this section, each question has four options out of which only one option is right.

2. Multiple Select Questions (MSQ’s): This section is almost similar w.r.t. above section with the only difference is that in this type of question more than one option may be right.

3. Numerical Answer Type (NAT) Question: In this type one has to type answers with the help of virtual keypad of computer .

All candidates have to apply only ONLINE. Now all the candidates have to apply online for the examination.

No hardcopy of score card will be sent to the qualifiers by the Organizing Institute. One can download it from the website of conducting institute.

Question Paper Pattern for JAM

This exam is conducted for the seven test papers named as below:-

Biological Science (BL) Biotechnology (BT) Chemistry (CY) Geology (GG) Mathematics (MA) Mathematical Statistics (MS) Physics (PH)

All Papers are of Objective Type with three different sections of Questions. These sections are differentiated as A, B and C. All sections are compulsory. Questions in each section are of different types which are described as given below: Section –A: Total number of Question in this section are 30 Multiple Choice Questions (MCQ) carrying one or two marks each. Each Question has four choices among them only one choice is correct.

Section –B: Total number of Question in this section are 10 carrying two marks each. Each Question has four choices among them more than one may be correct. These types of Question are called Multiple Correct Question.

Section –C: Total numbers of Question in this section are 20 carrying one or two marks each. Under these sections of Question applicant should write the answer with the help of the virtual keyboard. No choices will be shown for these types of Questions. These Questions are called Numerical Answer Type Question (NAT).

Marking Scheme

In all sections, questions not attempted will result in no mark.

In section –A (MCQ) wrong answer will result in negative marks.

For all 1 Mark Questions, 1/3 marks will be deducted for each wrong answer.

For all 2 marks Question, 2/3 will be deducted for each wrong answer.

In section –B (MSQ) and section -C there are no negative marks.

Online Test Rules

On Screen virtual scientific calculator will be available for the candidates to do the calculations in the exams as any type of Physical Calculators, charts, Graph Sheets, Cellular Phone, Tables or any type of electronic gadgets not allowed in the examination hall.

For rough work a scribble pad will be provided to each candidate whom to be returned back by the end of the examination. The candidate required to choose the answer for MCQ and MSQ question type anjd has to enter the answer with the help of mouse (as keyboard will be disabled). After the completion of exam computers screen will be closed.


1. 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, Green’s theorem, Stokes’ theorem. First order equations and linear second order differential equations with constant coefficients. Matrices and determinants, Algebra of complex numbers.

2. Mechanics and General Properties of Matter :- Newton’s 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, Kepler’s 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, Euler’s equation, Bernoulli’s theorem.

3. 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. Fermat’s 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.

4. Electricity and Magnetism :- Coulomb’s law, Gauss’s law. Electric field and potential. Electrostatic boundary conditions, Solution of Laplace’s equation for simple cases. Conductors, capacitors, dielectrics, dielectric polarization, volume and surface charges, electrostatic energy. Biot-Savart law, Ampere’s law, Faraday’s 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, Poynting’s 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.

5. Kinetic theory, Thermodynamics :- Elements of Kinetic theory of gases. Velocity distribution and Equipartition of energy. Specific heat of Mono-, di- and tri-atomic gases. 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.

6. 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, Bohr’s atomic model, X-rays. Wave-particle duality, Uncertainty principle, the superposition principle, calculation of expectation values, Schrödinger equation and its solution for one, two and three dimensional boxes. Solution of Schrödinger 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. Radioactivity and its applications. Laws of radioactive decay.

8. Solid State Physics, Devices and Electronics :- Crystal structure, Bravais lattices and basis. Miller indices. X-ray diffraction and Bragg’s law; Intrinsic and extrinsic semiconductors, variation of resistivity with temperature. Fermi level. p-n junction diode, I-V characteristics, Zener diode and its applications, BJT: characteristics in CB, CE, CC modes. Single stage amplifier, two stage R-C coupled amplifiers. Simple Oscillators: Barkhausen condition, sinusoidal oscillators. OPAMP and applications: Inverting and non-inverting amplifier. Boolean algebra: Binary number systems; conversion from one system to another system; binary addition and subtraction. Logic Gates AND, OR, NOT, NAND, NOR exclusive OR; Truth tables; combination of gates; de Morgan’s theorem.

IIT-JAM Mathematics – Syllabus

Unit: Sequences and Series of Real Numbers
Topics: Sequences and series of real numbers, Convergent and divergent sequences, bounded and monotone sequences, Convergence criteria for sequences of real numbers, Cauchy sequences, absolute and conditional convergence; Tests of convergence for series of positive terms – comparison test, ratio test, root test; Leibnitz test for convergence of alternating series
Unit: Functions of One Variable
Topics: Limit, continuity, differentiation, Rolle’s Theorem, Mean value theorem. Taylor’s theorem. Maxima and minima.
Unit: Functions of Two Real Variables
Topics: Limit, continuity, partial derivatives, differentiability, maxima and minima. Method of Lagrange multipliers, Homogeneous functions including Euler’s theorem
Unit: Integral Calculus
Topics: Integration as the inverse process of differentiation, definite integrals and their properties, Fundamental theorem of integral calculus. Double and triple integrals, change of order of integration. Calculating surface areas and volumes using double integrals and applications. Calculating volumes using triple integrals and applications
Unit: Differential Equations
Topics: Ordinary differential equations of the first order of the form y’=f(x,y). Bernoulli’s equation, exact differential equations, integrating factor, Orthogonal trajectories, Homogeneous differential equations-separable solutions, Linear differential equations of second and higher order with constant coefficients, method of variation of parameters. Cauchy-Euler equation
Unit: Vector Calculus
Topics: Scalar and vector fields, gradient, divergence, curl and Laplacian. Scalar line integrals and vector line integrals, scalar surface integrals and vector surface integrals, Green’s, Stokes and Gauss theorems and their applications
Unit: Group Theory
Topics: Groups, subgroups, Abelian groups, non-abelian groups, cyclic groups, permutation groups; Normal subgroups, Lagrange’s Theorem for finite groups, group homomorphisms and basic concepts of quotient groups (only group theory).
Unit: Linear Algebra
Topic: Vector spaces, Linear dependence of vectors, basis, dimension, linear transformations, matrix representation with respect to an ordered basis, Range space and null space, rank-nullity theorem; Rank and inverse of a matrix, determinant, solutions of systems of linear equations, consistency conditions. Eigenvalues and eigenvectors. Cayley-Hamilton theorem. Symmetric, skew-symmetric, hermitian, skew-hermitian, orthogonal and unitary matrices.
Unit: Real Analysis
Topics: Interior points, limit points, open sets, closed sets, bounded sets, connected sets, compact sets; completeness of R, Power series (of real variable) including Taylor’s and Maclaurin’s, domain of convergence, term-wise differentiation and integration of power series

How to Prepare for JAM 2020– Time-Table

Preparing a proper schedule of what topics should be covered on a particular day is very important . Unlike other subjects, Mathematics and physics are such subjects that requires to be practiced in the written format which means it is time consuming. Entire topics are so easy and simple to understand and easy to cover there are few topics which require some more time for practice. Prepare a time-table in such a way that you can allot time for both the types of topics in a day.
The last few weeks or the last month before the examination must be allotted completely for revision purposes. Try not to take up anything new and utilize the time to revise what ever you have practiced. Use up the time to solve more and more sample papers and mock tests.

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