By: Archana on February 05, 2019
IIT JAM 2019 syllabus has been released by the conducting body. There are seven papers of JAM i.e:

Biological Sciences

Biotechnology

Chemistry

Geology

Mathematics

Mathematical Statistics

Physics
Given below is the detailed syllabus of all the seven subjects
Syllabus – Biological Sciences (BL)
General Biology 
Taxonomy of plants and animals; proand eukaryotic organisms; cell organelles and their function; multicellular organization; general physiology; energy transformations; internal transport systems of plants and animals; photosynthesis; respiration; regulation of body fluids and excretory mechanisms; reproductive biology; plant and animal hormones and their action; nervous systems; animal behavior; plant and animal diseases; Mendelian genetics and heredity; basics of developmental biology; biology of populations and communities; evolution; basic principles of ecology; genesis and diversity of organisms. 
Basics of Biochemistry, Biophysics, Molecular Biology 
Buffers; trace elements in biological systems; enzymes and proteins; vitamins; biological oxidations, photosynthesis; carbohydrates and lipids and their metabolism; digestion and absorption; detoxifying mechanisms; nucleic acids; nucleic acid metabolism; nature of gene and its function; genetic code; synthesis of nucleic acids and proteins; regulation of gene expression; operons.
Structure of biomolecules; intra and intermolecular forces; thermodynamics and kinetics of biological systems; enzyme mechanisms and kinetics; principles of Xray diffraction; IR and UV spectroscopy; analytical and biochemical techniques

Microbiology, Cell Biology, and Immunology 
Classification of microorganisms and their characterization; nutrient requirement for growth; laboratory techniques in microbiology; pathogenic microorganisms and disease; applied microbiology; viruses and fungi; microbial genetics; cell theory; cell architecture; cell division; types of chromosome structure; biochemical genetics inborn errors of metabolisms; innate and adaptive immunity, antigen antibodies; principles of processes of development. 
Mathematical Sciences 
Mathematical functions (algebraic, exponential, trigonometric) and their derivatives (derivatives and integrals of simple functions); permutations and combinations; basic probability and volumetric calculations. 
Syllabus – Geology (GG)
Planet Earth 
Origin of the Solar System and the Earth; Geosphere and the composition of the Earth; Shape and size of the earth; Earthmoon system; Formation of continents and oceans; Dating rocks and age of the Earth; Volcanism and volcanic landforms; Interior of earth; Earthquakes; Earth's magnetism and gravity 
Geomorphology 
Weathering and erosion; Transportation and deposition due to the wind, ice, river, sea, and resulting landforms, Structurally controlled landforms 
Structural Geology 
Concept of stratum; Contour; Outcrop patterns; Maps and cross sections; Dip and strike; Classification and origin of folds, faults, joints, unconformities, foliations and lineations; shear zones. Stereographic and equal area projections of planes and lines; computation of true thickness of beds from outcrops and boreholes. 
Palaeontology 
Major steps in the evolution of life forms; Fossils; their mode of preservation and utility; Morphological characters, major evolutionary trends and ages of important groups of animals – Brachiopoda, Mollusca, Trilobita, Graptolitoidea, Anthozoa, Echinodermata; Gondwana plant fossils; Elementary idea of vertebrate fossils in India 
Stratigraphy 
Principles of stratigraphy; Litho, Chrono and biostratigraphic classification; distribution and classification of the stratigraphic horizons of India from Archaean to Recent. 
Mineralogy 
Symmetry and forms in common crystal classes; Physical properties of minerals; Isomorphism and polymorphism, Classification of minerals; Structure of silicates; Mineralogy of common rockforming minerals; Mode of occurrence of minerals in rocks. Transmitted polarised light microscopy and optical properties of uniaxial and biaxial minerals. 
Petrology 
Definition and classification of rocks; Igneous rocksforms of igneous bodies; Crystallization from magma; classification, association, and genesis of igneous rocks; Sedimentary rocks – classification, texture, and structure; size and shape of sedimentary bodies. Metamorphic rocks – classification, faces, zones, and texture. Characteristic mineral assemblages of pelites in the Barrovian zones 
Economic Geology 
Properties of common economic minerals; General processes of formation of mineral deposits; Physical characters; Mode of occurrence and distribution in India both of metallic and nonmetallic mineral deposits; Coal and petroleum occurrences in India. 
Applied Geology 
Ground Water; Principles of Engineering Geology. 
Syllabus for Physics (PH)
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 
Oscillations, Waves and Optics 
Differential equation for the simple harmonic oscillator and its general solution. Superposition of two or more simple harmonic oscillators. Lissajous figures. Damped and forced oscillators, resonance. Wave equation, travelling and standing waves in onedimension. Energy density and energy transmission in waves. Group velocity and phase velocity. Sound waves in media. Doppler Effect. Fermat's Principle. The 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. 
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 nonconservative forces. System of particles, Center of mass, an 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 
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. BiotSavart 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. 
Kinetic theory, Thermodynamics 
Elements of Kinetic theory of gases. Velocity distribution and Equipartition of energy. Specific heat of Mono, di and triatomic gases. Ideal gas, vanderWaals 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 quasistatic processes. Second law and entropy. Carnot cycle. Maxwell's thermodynamic relations and simple applications. Thermodynamic potentials and their applications. Phase transitions and ClausiusClapeyron equation. Ideas of ensembles, MaxwellBoltzmann, FermiDirac and BoseEinstein distributions 
Modern Physics 
nertial 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, Xrays. Waveparticle duality, Uncertainty principle, the superposition principle, calculation of expectation values, Schrödinger equation and its solution for one, two and threedimensional boxes. A solution of Schrödinger equation for the onedimensional harmonic oscillator. Reflection and transmission at a step potential, Pauli exclusion principle. Structure of atomic nucleus, mass and binding energy. 
Solid State Physics, Devices and Electronics 
Crystal structure, Bravais lattices and basis. Miller indices. Xray diffraction and Bragg's law; Intrinsic and extrinsic semiconductors, the variation of resistivity with temperature. Fermi level. PN junction diode, IV characteristics, Zener diode and its applications, BJT: characteristics in CB, CE, CC modes. Single stage amplifier, two stage RC coupled amplifiers. Simple Oscillators: Barkhausen condition, sinusoidal oscillators. OPAMP and applications: Inverting and noninverting 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 
Syllabus Mathematical Statistics (MS)
Sequences and Series 
Convergence of sequences of real numbers, Comparison, root and ratio tests for convergence of series of real numbers 
Differential Calculus 
Limits, continuity and differentiability of functions of one and two variables. Rolle's theorem, mean value theorems, Taylor's theorem, indeterminate forms, maxima and minima of functions of one and two variables.

Matrices 
Rank, an inverse of a matrix. Systems of linear equations. Linear transformations, eigenvalues and eigenvectors. CayleyHamilton theorem, symmetric, skewsymmetric and orthogonal matrices 
Integral Calculus 
Fundamental theorems of integral calculus. Double and triple integrals, applications of definite integrals, arc lengths, areas and volumes 
Probability 
Axiomatic definition of probability and properties, conditional probability, multiplication rule. Theorem of total probability. Bayes' theorem and independence of events 
Standard Distributions 
Binomial, negative binomial, geometric, Poisson, hypergeometric, uniform, exponential, gamma, beta and normal distributions. 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. Product moments, correlation, simple linear regression. Independence of random variables 
Random Variables 
Probability mass function, probability density function and cumulative distribution functions, distribution of a function of a random variable. Mathematical expectation, moments and moment generating function. Chebyshev's inequality. 
Sampling distributions 
Chisquare, t and F distributions, and their properties 
Estimation 
Unbiasedness, consistency and efficiency of estimators, a method of moments and method of maximum likelihood. Sufficiency, factorization theorem. Completeness, RaoBlackwell and LehmannScheffe theorems, uniformly minimum variance unbiased estimators. RaoCramer inequality. Confidence intervals for the parameters of univariate normal, two independent normals, and one parameter exponential distributions 
Limit Theorems 
Weak law of large numbers. Central limit theorem (i.i.d.with finite variance case only). 
Testing of Hypotheses 
Basic concepts, applications of NeymanPearson Lemma for testing simple and composite hypotheses. Likelihood ratio tests for parameters of the univariate normal distribution. 
Syllabus – Biotechnology (BT)
The test paper of BT comprises of

Biology (44% weightage),

Chemistry (20% weightage),

Mathematics (18% weightage) and

Physics (18% weightage).
General Biology 
Taxonomy; Heredity; Genetic variation; Conservation; Principles of ecology; Evolution; Techniques in modern biology 
Biochemistry and Physiology 
Carbohydrates; Proteins; Lipids; Nucleic acids; Enzymes; Vitamins; Hormones; Metabolism – Glycolysis, TCA cycle, Oxidative Phosphorylation; Photosynthesis. Nitrogen Fixation, Fertilization and Osmoregulation; VertebratesNervous system; Endocrine system; Vascular system; Immune system; Digestive system and Reproductive System. 
Basic Biotechnology 
Tissue culture; Application of enzymes; Antigenantibody interaction; Antibody production; Diagnostic aids 
Molecular Biology 
DNA; RNA; Replication; Transcription; Translation; Proteins; Lipids and Membranes; Operon model; Gene transfer 
Cell Biology 
Cell cycle; Cytoskeletal elements; Mitochondrial; Endoplasmic reticulum; Chloroplast; Golgi apparatus; Signaling 
Microbiology 
Isolation; Cultivation; Structural features of virus; Bacteria; Fungi; Protozoa; Pathogenic microorganisms 
Syllabus – Chemistry (CY)
Basic Mathematical Concepts 
Functions; maxima and minima; integrals; ordinary differential equations; vectors and matrices; determinants; elementary statistics and probability theory 
Atomic and Molecular Structure 
Fundamental particles; Bohr's theory of hydrogenlike atom; waveparticle duality; uncertainty principle; Schrödinger's wave equation; quantum numbers; shapes of orbitals; Hund's rule and Pauli's exclusion principle; electronic configuration of simple homonuclear diatomic molecules.

Theory of Gases 
The equation of state for ideal and nonideal (van der Waals) gases; Kinetic theory of gases; MaxwellBoltzmann distribution law; equipartition of energy 
Chemical Thermodynamics 
Reversible and irreversible processes; first law and its application to ideal and nonideal gases; thermochemistry; second law; entropy and free energy; criteria for spontaneity. 
Chemical and Phase Equilibria 
Law of mass action; Kp, Kc, Kx and Kn; effect of temperature on K; ionic equilibria in solutions; pH and buffer solutions; hydrolysis; solubility product; phase equilibria–phase rule and its application to onecomponent and twocomponent systems; colligative properties 
Electrochemistry 
Conductance and its applications; transport number; galvanic cells; EMF and free energy; Concentration cells with and without transport; polarography; Concentration cells with and without transport; DebeyHuckelOnsager theory of strong electrolytes 
Chemical Kinetics 
Reactions of various order; Arrhenius equation; collision theory; transition state theory; chain reactions – normal and branched; enzyme kinetics; photochemical processes; catalysis. 
Solid state 
Crystals and crystal systems; Xrays; NaCl and KCl structures; close packing; atomic and ionic radii; radius ratio rules; lattice energy; BornHaber cycle; isomorphism; heat capacity of solids. 
Adsorption 
Gibbs adsorption equation; adsorption isotherm; types of adsorption; surface area of adsorbents; surface films on liquids 
Spectroscopy 
BeerLambert law; fundamental concepts of rotational, vibrational, electronic and magnetic resonance spectroscopy. 
Basic Concepts in Organic Chemistry and Stereochemistry 
Electronic effects (resonance, inductive, hyper conjugation) and steric effects and its applications (acid/base property); optical isomerism in compounds with and without any stereocenters (allenes, biphenyls); confirmation of acyclic systems (substituted ethane/npropane/nbutane) and cyclic systems (mono and disubstituted cyclohexanes) 
Organic Reaction Mechanism and Synthetic Applications 
Chemistry of reactive intermediates (carbocations, carbanions, free radicals, carbenes, nitrenes, benzynes etc…); HofmannCurtiusLossen rearrangement, Wolff rearrangement, SimmonsSmith reaction, ReimerTiemann reaction, Michael reaction, Darzens reaction, Wittig reaction and McMurry reaction; Pinacolpinacolone, Favorskii, benzilic acid rearrangement, dienonephenol rearrangement, BaeyerVilleger reaction; oxidation and reduction reactions in organic chemistry; organometallic reagents in organic synthesis (Grignard, organolithium and organocopper); DielsAlder, electrocyclic and sigmatropic reactions; functional group interconversions and structural problems using chemical reactions 
Qualitative Organic Analysis 
Identification of functional groups by chemical tests; Elementary UV, IR and 1H NMR spectroscopic techniques as tools for structural elucidation 
Natural Products Chemistry 
Chemistry of alkaloids, steroids, terpenes, carbohydrates, amino acids, peptides and nucleic acids. 
Aromatic and Heterocyclic Chemistry 
Monocyclic, bicyclic and tricyclic aromatic hydrocarbons, and monocyclic compounds with one hetero atom: synthesis, reactivity and properties. 
Inorganic Chemistry:
Periodic Table: Periodic classification of elements and periodicity in properties; general methods of isolation and purification of elements.
Chemical Bonding and Shapes of Compounds: Types of bonding; VSEPR theory and shapes of molecules;
hybridization; dipole moment; ionic solids; a structure of NaCl, CsCl, diamond and graphite; lattice energy.
Main Group Elements (s and p blocks): General concepts on group relationships and gradation in properties; a structure of electron deficient compounds involving main group elements.
Transition Metals (d block): Characteristics of 3d elements; oxide, hydroxide and salts of first row metals; coordination complexes: structure, isomerism, reaction mechanism and electronic spectra; VB, MO and Crystal Field theoretical approaches for structure, color and magnetic properties of metal complexes; organometallic compounds having ligands with back bonding capabilities such as metal carbonyls, carbenes, nitrosyls and metallocenes; homogenous catalysis.
Bioinorganic Chemistry: Essentials and trace elements of life; basic reactions in the biological systems and the role of metal ions, especially Fe2+, Fe3+, Cu2+ and Zn2+; structure and function of haemoglobin and myoglobin and carbonic anhydrase.
Instrumental Methods of Analysis: Basic principles; instrumentations and simple applications of conductometry, potentiometry and UVvis spectrophotometry; analysis of water, air and soil samples.
Analytical Chemistry: Principles of qualitative and quantitative analysis; acidbase, oxidationreduction and complexometric titrations using EDTA; precipitation reactions; use of indicators; use of organic reagents in the inorganic analysis; radioactivity; nuclear reactions; applications of isotopes.
Syllabus – Mathematics (MA)
Sequences and Series of Real Numbers 
The sequence of real numbers, the convergence of sequences, bounded and monotone sequences, convergence criteria for sequences of real numbers, Cauchy sequences, subsequences, BolzanoWeierstrass theorem. Series of real numbers, absolute convergence, tests of convergence for series of positive terms – comparison test, ratio test, root test; Leibniz test for convergence of alternating series. 
Functions of One Variable 
Limit, continuity, intermediate value property, differentiation, Rolle's Theorem, mean value theorem, L'Hospital rule, Taylor's theorem, 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, definite integrals and their properties, fundamental theorem of calculus. Double and triple integrals, change of order of integration, calculating surface areas and volumes using double integrals, calculating volumes using triple integrals 
Differential Equations 
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, variable separable equations, linear differential equations of second order with constant coefficients, method of variation of parameters, CauchyEuler equation 
Vector Calculus 
Scalar and vector fields, gradient, divergence, curl, line integrals, surface integrals, Green, Stokes and Gauss theorems 
Linear Algebra 
Finite dimensional vector spaces, linear independence of vectors, basis, dimension, linear transformations, matrix representation, range space, null space, ranknullity theorem. Rank and inverse of a matrix, determinant, solutions of systems of linear equations, consistency conditions, Eigenvalues and eigenvectors for matrices, CayleyHamilton theorem. 
Group Theory 
Groups, subgroups, Abelian groups, nonAbelian groups, cyclic groups, permutation groups, normal subgroups, Lagrange's Theorem for finite groups, group homomorphisms and basic concepts of quotient groups. 
Real Analysis 
Interior points, limit points, open sets, closed sets, bounded sets, connected sets, compact sets, completeness of R. Power series (of real variable), Taylor's series, radius and interval of convergence, termwise differentiation and integration of power series 