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IIT JAM Syllabus 2019 (Topic Wise) All Subjects Download With Exam Pattern

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IIT JAM Syllabus 2019

Download Updated IIT JAM Syllabus 2019 (Topic Wise) in PDF from here!!! In the month of September 2018, IIT JAM  is going to be conducted by the Joint Admission Test (JAM). IIT JAM Application Form will be available from 5th Sep 2018 at the official website. Students can start their preparation for IIT JAM Exam from latest IIT JAM Topic Wise Syllabus 2019 given here. Indian Institutes of Technology (IIT)  has laid down the IIT JAM Syllabus 2019 for Physics, Chemistry and Maths and other subjects. Candidates must prepare for Jam Entrance exam keeping in mind the IIT JAM Imp Topics and weightage of each subject.

From the below section of this page of, you can check the detailed IIT JAM Syllabus 2019 for different disciplines like medical and engineering etc. to know more, please have a look below:

IIT JAM Syllabus 2019 – Biotechnology

Biology (10+2+3 Level)

  • General Biology

  • Biochemistry and Physiology

  • Basic Biotechnology

  • Molecular Biology

  • Cell Biology

  • Microbiology

IIT JAM 2019 syllabus – Biological Science

  • General Biology

  • Mathematical Sciences

  • Microbiology, Cell Biology and Immunology

  • Basics of Biochemistry, Molecular Biology, Biophysics

IIT JAM Syllabus 2019 – Chemistry


  • Atomic and Molecular Structure

  • Basic Mathematical Concepts

  • Theory of Gases

  • Chemical Thermodynamics

  • Solid state

  • Electrochemistry

  • Chemical and Phase Equilibria

  • Spectroscopy

  • Chemical Kinetics

  • Adsorption

IIT JAM Application Form 2019


  • Basic Concepts in Organic Chemistry and Stereochemistry

  • Qualitative Organic Analysis

  • Organic Reaction Mechanism and Synthetic Applications

  • Aromatic and Heterocyclic Chemistry

  • Natural Products Chemistry


  • Periodic Table

  • Transition Metals (d block)

  • Main Group Elements (s and p blocks)

  • Chemical Bonding and Shapes of Compounds

  • Bioinorganic Chemistry

IIT JAM 2019 syllabus – Geology

  • Geomorphology

  • The Planet Earth

  • Petrology

  • Palaeontology

  • Stratigraphy

  • Structural Geology

  • Economic Geology

  • Applied Geology

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IIT JAM Syllabus 2019 – Mathematics

Sequences and Series of Real Numbers: Convergence of sequences, convergence criteria for sequences of real numbers, bounded and monotone sequences, Sequence of real numbers, Bolzano-Weierstrass theorem, Cauchy sequences, subsequences. Absolute convergence, Series of real numbers, tests of convergence for series of positive terms – comparison test, ratio test, root test; Leibniz test for convergence of alternating series.

Functions of One Real Variable: Limit, intermediate value property, continuity, differentiation, Rolle’s Theorem, mean value theorem,, Taylor’s theorem, L’Hospital rule, maxima and minima.

Functions of Two or Three Real Variables: Limit, continuity, partial derivatives, differentiability, maxima and minima.

Integral Calculus: Integration as the inverse process of differentiation, fundamental theorem of calculus, definite integrals and their properties. Double and triple integrals, calculating surface areas and volumes using double integrals, change of order of integration, calculating volumes using triple integrals.

Differential Equations: Ordinary differential equations of the first order of the form y’=f(xy), Bernoulli’s equation, integrating factor, exact differential equations, orthogonal trajectories, homogeneous differential equations, linear differential equations of second order with constant coefficients, variable separable equations, method of variation of parameters, Cauchy-Euler equation.

Vector Calculus: Scalar and vector fields, divergence, gradient, curl, line integrals, Green, Stokes and Gauss theorems, surface integrals.

Group Theory: Groups, subgroups, non-Abelian groups, Abelian groups, cyclic groups, permutation groups, normal subgroups, group homomorphisms and basic concepts of quotient groups, Lagrange’s Theorem for finite groups.

Linear Algebra: Finite dimensional vector spaces, linear independence of vectors, basis, dimension, linear transformations, range space, null space, matrix representation, rank-nullity theorem. Rank and inverse of a matrix, determinant, consistency conditions, solutions of systems of linear equations, eigenvalues and eigenvectors for matrices, Cayley-Hamilton theorem.

Real Analysis: Interior points, closed sets, limit points, open sets, bounded sets, connected sets, compact sets, completeness of R. Power series (of real variable), radius and interval of convergence, Taylor’s series, term-wise differentiation and integration of power series.

IIT JAM 2019 syllabus – Mathematical Statistics

In Mathematical Statistics 40 percent weightage is given to mathematics and 60 percent weightage is given to statistics


Sequences and Series: Comparison, root and ratio tests for convergence of series of real numbers, Convergence of sequences of real numbers.

Differential Calculus: Limits, continuity and differentiability of functions of one and two variables. Rolle’s theorem, mean value theorems, indeterminate forms, Taylor’s theorem, maxima and minima of functions of one and two variables.

Integral Calculus: Fundamental theorems of integral calculus. Applications of definite integrals, arc lengths, double and triple integrals, areas and volumes.

Matrices: Rank, inverse of a matrix, Systems of linear equations, eigenvalues and eigenvectors, Linear transformations, symmetric, Cayley-Hamilton theorem, skew-symmetric and orthogonal matrices.


Probability: Axiomatic definition of probability and properties, multiplication rule. Theorem of total probability, conditional probability. Bayes’ theorem and independence of events.

Random Variables: Probability mass function, distribution of a function of a random variable. Mathematical expectation, probability density function and cumulative distribution functions, moments and moment generating function, Chebyshev’s inequality.

Standard Distributions: Geometric, Binomial, negative binomial, Poisson, hypergeometric, uniform, beta and normal distributions, exponential, gamma. Poisson and normal approximations of a binomial distribution.

Joint Distributions: Joint, marginal and conditional distributions. Distribution of functions of random variables. Joint moment generating function. correlation, simple linear regression. Product moments, Independence of random variables.

Sampling distributions: Chi-square, t and F distributions, and their properties.

Limit Theorems: Weak law of large numbers. Central limit theorem (i.i.d.with finite variance case only).

Estimation: Unbiasedness, method of moments and method of maximum likelihood, consistency and efficiency of estimators. Sufficiency, factorization theorem. Rao-Blackwell and Lehmann-Scheffe theorems, Completeness, uniformly minimum variance unbiased estimators. Confidence intervals for the parameters of univariate normal, two independent normal, and one parameter exponential distributions. Rao-Cramer inequality.

Testing of Hypotheses: Likelihood ratio tests for parameters of univariate normal distribution. Basic concepts, applications of Neyman-Pearson Lemma for testing simple and composite hypotheses.

IIT JAM Syllabus 2019 – Physics

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

Mechanics and General Properties of Matter: Velocity and acceleration in Cartesian, Newton’s laws of motion and applications, polar and cylindrical coordinate systems, centrifugal and Coriolis forces, uniformly rotating frame, Kepler’s laws, Motion under a central force, Gravitational Law and field, Conservative and non-conservative forces. Equation of motion of the CM System of particles, Center of mass, conservation of linear and angular momentum, elastic and inelastic collisions. conservation of energy, variable mass systems.

Oscillations, Waves and Optics: Superposition of two or more simple harmonic oscillators. Differential equation for simple harmonic oscillator and its general solution. Damped and forced oscillators, resonance, Lissajous figures. Energy density and energy transmission in waves. Wave equation, traveling and standing waves in one-dimension. Doppler Effect. Fermat’s Principle. Group velocity and phase velocity. Sound waves in media.

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

Kinetic theory, Thermodynamics: Elements of Kinetic theory of gases. Specific heat of Mono-, di- and tri-atomic gases. Velocity distribution and Equipartition of energy. Ideal gas, van-der-Waals gas and equation of state. Mean free path. Carnot cycle. Zeroth law and concept of thermal equilibrium. Reversible, irreversible and quasi-static processes. First law and its consequences. Second law and entropy. Laws of thermodynamics. Isothermal and adiabatic processes.

Modern Physics: Postulates of special relativity. Lorentz transformations. Inertial frames and Galilean invariance. Time dilation. Length contraction, Relativistic velocity addition theorem, mass energy equivalence. Blackbody radiation, photoelectric effect, Compton effect, Bohr’s atomic model, X-rays.

Solid State Physics, Devices and Electronics: Crystal structure, Miller indices. X-ray diffraction and Bragg’s law; Bravais lattices and basis; Intrinsic and extrinsic semiconductors, variation of resistivity with temperature. Fermi level. p-n junction diode, I-V characteristics, BJT: characteristics in CB, CE, CC modes, Zener diode and its applications.

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