**IIT JAM Syllabus 2019 –** Indian Institute of Technology, Kharagpur, the conducting body of JAM 2019, has released IIT JAM 2019 syllabus on September 5, 2018. Candidates can check here the syllabus of JAM 2019 for different subjects for which the entrance exam is conducted. JAM, also known as Joint Admission Test, is conducted as part of the admission process to the different postgraduate science courses offered by the participating IITs. Candidates must prepare for JAM 2019 keeping in mind the IIT JAM Syllabus 2019. 16 participating institutes including 15 IITs and IISc, Bangalore will accept the scores of JAM 2019. The scores of JAM 2019 will also be applicable for admission to National Institutes of Technology (NITs) and Centrally Funded Technical Institutes (CFTIs) for which the counselling will be conducted through CCMN, a common counselling portal of JAM 2019. In this article, candidates can check the IIT JAM 2019 syllabus for different papers. JAM 2019 will be conducted on February 10, 2019.

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**IIT JAM Syllabus 2019 – Biotechnology**

**Biology (10+2+3 Level)**

General Biology

Biochemistry and Physiology

Basic Biotechnology

Molecular Biology

Cell Biology

Microbiology

**CHEMISTRY (10+2+3 level)**

**Atomic Structure**: Periodicity in properties; Chemical bonding; Properties of s, p, d and f block elements; Complex formation; Chemical thermodynamics (first and second law); Chemical kinetics (zero, first, second and third order reactions) Coordination compounds; Bohr's theory and Schrodinger wave equation; Chemical equilibria;

**Chemistry of Functional Groups**: Hydrocarbons, alkyl halides, alcohols, Aromatic hydrocarbons, carboxylic acids, aldehydes, ketones, amines and their derivatives; halides, phenols, diazonium salts, carboxylic and sulphonic acids; nitro and amino compounds, Mechanism of organic reactions; Synthetic polymers; Soaps and detergents; Nucleic acids, lipids and carbohydrates (polysaccharides), Biomolecules - amino acids, proteins,

**MATHEMATICS (10+2 level)**

Sets, Mathematical Induction, Logarithms, Relations and Functions, Complex numbers, Linear and Quadratic equations, Cartesian System of Rectangular Coordinates, Sequences and Series, Straight lines and Family, Trigonometry, Circles, Conic Sections, Permutations and Combinations, Exponential and Logarithmic Series, Binomial Theorem, Mathematical Logic, Statistics, Vectors, Matrices and Determinants, Three Dimensional Geometry, Boolean Algebra, Probability, Differentiation, Application of Derivatives, Functions, limits and Continuity, Definite and Indefinite Integrals, Differential Equations.

**PHYSICS (10+2 level)**

Physical World and Measurement, Kinematics, Laws of Motion, Work, Energy and Power, Electrostatics, Current electricity, Elementary Statics and Dynamics, Magnetic Effects of Current and Magnetism, Electromagnetic Induction and Alternating Current, Optics, Dual Nature of Matter and Radiations, Electromagnetic waves, Atomic Nucleus, Motion of System of Particles and Rigid Body, Solids and Semiconductor Devices, Principles of Communication, Gravitation, Heat and Thermodynamics, Oscillations, Waves, Mechanics of Solids and Fluids, .

**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**

**PHYSICAL CHEMISTRY**

Atomic and Molecular Structure

Basic Mathematical Concepts

Theory of Gases

Chemical Thermodynamics

Solid state

Electrochemistry

Chemical and Phase Equilibria

Spectroscopy

Chemical Kinetics

Adsorption

**ORGANIC CHEMISTRY**

Basic Concepts in Organic Chemistry and Stereochemistry

Qualitative Organic Analysis

Organic Reaction Mechanism and Synthetic Applications

Aromatic and Heterocyclic Chemistry

Natural Products Chemistry

**INORGANIC 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

**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% weight age is given to mathematics and 60% weight age is given to statistics

**Mathematics**

**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.

**Statistics**

**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.

**To Check Complete Syllabus of JAM 2019 - Click Here OR Check through the given window below:**

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