IIT JAM Syllabus 2027: All 7 Test Papers, Subject-Wise PDF Download and Topic-Wise Weightage

Carbohydrates — structure and metabolism; proteins — amino acid structure, peptide bonds, primary to quaternary structure; lipids — fatty acids, phospholipids; nucleic acids; enzymes — Michaelis-Menten equation, Hill Coefficient (cooperative enzyme kinetics — Hill equation, sigmoidal vs hyperbolic kinetics), competitive and non-competitive inhibition; vitamins; hormones; metabolism — glycolysis, TCA cycle, oxidative phosphorylation, gluconeogenesis, fermentation; photosynthesis; nitrogen fixation.

Tissue culture — plant and animal cells; industrial enzymes; antigen-antibody interactions; monoclonal antibody technology; diagnostic techniques — ELISA, Western blot, immunofluorescence; Bioinformatics — sequence databases (GenBank, UniProt, PDB), BLAST algorithm, pairwise sequence alignment (Needleman-Wunsch, Smith-Waterman), sequence similarity and homology.

DNA structure — B, A, Z forms; prokaryotic and eukaryotic DNA replication; transcription — RNA types, promoters, terminators; translation — genetic code, ribosomes, tRNA; gene regulation — lac and trp operons, eukaryotic transcription factors; gene transfer — transformation, transduction, conjugation; recombinant DNA technology — restriction enzymes, vectors (plasmid, phage, cosmid), cloning strategy, genomic and cDNA libraries.

Isolation and cultivation techniques; bacterial cell wall structure (Gram+ vs Gram-); fungi; viruses — lytic and lysogenic cycles; pathogenicity — virulence factors, toxins; environmental microbiology — nitrogen cycle, bioremediation; industrial microbiology — antibiotic production, fermentation; microbial genetics — mutation, DNA repair, plasmids, antibiotic resistance.

Atomic and Molecular Structure: Quantum mechanical model; Heisenberg uncertainty; Schrödinger equation (hydrogen-like atoms); MO theory for diatomics.
Theory of Gases: Kinetic theory; Maxwell-Boltzmann distribution; van der Waals equation; Joule-Thomson effect.
Solid State: Crystal systems; Bragg’s law; close-packing (FCC, BCC, HCP); Schottky and Frenkel defects.
Chemical Thermodynamics: First, Second, Third Laws; Hess’s law; Kirchhoff’s equation; Gibbs and Helmholtz energies; chemical potential.
Chemical and Phase Equilibria: Kc and Kp; Le Chatelier’s principle; phase rule; colligative properties.
Electrochemistry: Electrochemical cells; Nernst equation; Faraday’s laws; Kohlrausch’s law; corrosion.
Chemical Kinetics: Integrated rate equations; half-life; Arrhenius equation; catalysis; enzyme kinetics basics.
Adsorption: Langmuir and Freundlich isotherms.
Spectroscopy: Beer-Lambert law; rotational, vibrational, electronic spectroscopy; NMR basics.

Basic Concepts and Stereochemistry: IUPAC nomenclature; resonance; aromaticity; inductive, mesomeric, and hyperconjugation effects; carbocations, carbanions, free radicals; chirality; R-S and E-Z notation; conformational analysis.
Reactions and Mechanisms: SN1, SN2; E1, E2; electrophilic and nucleophilic addition; electrophilic aromatic substitution; named reactions — Aldol, Claisen, Diels-Alder, Wittig, Grignard, Beckmann, Baeyer-Villiger.
Natural Products: Carbohydrates; amino acids; fatty acids; steroids; terpenoids; alkaloids.
Heterocyclic Chemistry: Aromaticity and synthesis of pyridine, pyrrole, furan, thiophene, imidazole.

Periodic Table and Bonding: Ionization energy; electronegativity; atomic radii; VSEPR; MO diagrams; Born-Haber cycle.
s- and p-block Elements: Groups 1, 2, 13–18 chemistry; anomalous properties; diagonal relationships; allotropes.
d-block Elements and Coordination Chemistry: Oxidation states; Crystal Field Theory — octahedral and tetrahedral splitting; magnetic properties; spectrochemical series; coordination compound nomenclature, isomerism, stability constants.
Bioinorganic Chemistry: Haemoglobin (Fe); chlorophyll (Mg); vitamin B12 (Co); superoxide dismutase (Cu, Zn).

Consumer theory — utility functions, indifference curves, budget constraint, Slutsky equation, demand elasticity; production theory — production functions (Cobb-Douglas, CES), cost curves, profit maximisation; market structures — perfect competition, monopoly, monopolistic competition, Cournot and Bertrand oligopoly; game theory — Nash equilibrium, dominant strategies; welfare economics — Pareto optimality; market failure — public goods, externalities, information asymmetry.

National income accounting — GDP, GNP, NNP; Keynesian income determination; multiplier; IS-LM model; AD-AS framework; money and banking — quantity theory, money multiplier, monetary policy; inflation — demand-pull, cost-push, Phillips curve; open economy — balance of payments, exchange rate, Mundell-Fleming model; growth models — Harrod-Domar, Solow model.

Origin of the Solar System and Earth; geophysical methods — seismic, gravity, magnetic; Earth’s interior — crust, mantle, core composition; plate tectonics — convergent, divergent, and transform boundaries; seafloor spreading; volcanism — types and global distribution; earthquakes — seismic waves, Richter scale, focal mechanisms; isostasy; orogenic cycles.

Stress, strain, and elastic deformation; brittle vs ductile behaviour; folds — anticline, syncline, classification (symmetrical, asymmetrical, isoclinal, recumbent); faults — normal, reverse, strike-slip, thrust; joints, fractures, and shear zones; foliations and lineations; unconformities; dip and strike; stereographic and equal-area projections; geological map reading and cross-section construction; computation of true thickness from outcrop and bore-hole data.

Major steps in the evolution of life forms; fossilisation processes — permineralisation, carbonisation, moulding and casting; stratigraphic significance of index fossils; invertebrate fossils — Brachiopoda, Mollusca (Bivalvia, Gastropoda, Cephalopoda), Echinodermata, Graptolitoidea, Anthozoa (Trilobita); Gondwana plant fossils; vertebrate evolution — fish, amphibians, reptiles, mammals; microfossils — foraminifera, palynology.

Crystal systems and symmetry elements; physical properties — hardness (Mohs scale), cleavage, fracture, lustre, colour, streak, specific gravity; isomorphism and polymorphism; classification of minerals; structure of silicates — nesosilicates, sorosilicates, cyclosilicates, inosilicates, phyllosilicates, tectosilicates; mineralogy of common rock-forming minerals — olivine, pyroxene, amphibole, feldspar, mica, quartz; mode of occurrence in rocks; transmitted polarised light microscopy; optical properties of uniaxial and biaxial minerals — birefringence, extinction angle, pleochroism, interference figure.

Igneous Petrology: Magma origin and crystallisation; Bowen’s reaction series; classification by composition (ultramafic, mafic, intermediate, felsic) and texture; igneous bodies — plutons, dykes, sills, laccoliths, batholiths; volcanic rocks — basalt, andesite, rhyolite.
Sedimentary Petrology: Terrigenous clastic rocks — conglomerate, sandstone, shale; carbonates — limestone, dolomite; diagenesis; sedimentary structures — cross-bedding, graded bedding, ripple marks, flute casts.
Metamorphic Petrology: Agents and types of metamorphism; metamorphic facies — zeolite, prehnite-pumpellyite, greenschist, amphibolite, granulite; Barrovian zones — chlorite, biotite, garnet, staurolite, kyanite, sillimanite index minerals.

Convergent and divergent sequences; bounded and monotone sequences; Cauchy sequences; Bolzano-Weierstrass theorem; tests of convergence for series — ratio, root, comparison, integral, Leibniz; absolute and conditional convergence; power series and radius of convergence.

Limit, continuity, intermediate value property; differentiation; Rolle’s theorem; mean value theorem; L’Hôpital rule; maxima and minima; Taylor’s theorem and Taylor series; Riemann integration — definition, properties, fundamental theorem of calculus; reduction formulas; improper integrals.

Limit, continuity, and partial derivatives; differentiability; directional derivative; gradient; maxima and minima — second derivative test; method of Lagrange multipliers; double integrals — change of order; surface areas and volumes.

First-order ODEs — exact, linear, Bernoulli, separable; orthogonal trajectories; second-order linear ODEs with constant coefficients — method of undetermined coefficients; variation of parameters; Cauchy-Euler equations.

Groups and subgroups; cyclic groups; abelian and non-abelian groups; permutation groups; normal subgroups; quotient groups; cosets; Lagrange’s theorem; group homomorphisms and isomorphisms; isomorphism theorems; symmetric group Sn; Cayley’s theorem.

Systems of linear equations; rank-nullity theorem; null space and column space; inverse of a matrix; determinants; eigenvalues and eigenvectors; Cayley-Hamilton theorem; diagonalization; inner product spaces; Gram-Schmidt process; symmetric matrices and orthogonal transformations.

Interior points, limit points, open and closed sets; bounded sets; compactness — Heine-Borel theorem; connected sets; completeness of R; power series — Taylor’s series, radius of convergence; uniform convergence; Weierstrass approximation theorem.

Null and alternative hypotheses; Type I and Type II errors; p-value; power of a test; Neyman-Pearson lemma; uniformly most powerful (UMP) tests; likelihood ratio tests; z-test, t-test, F-test; chi-square tests — goodness of fit and independence.

Calculus of single and multiple variables; partial differentiation; Jacobians; imperfect and perfect differentials; Taylor expansion; Fourier series; vector algebra; vector calculus — gradient, divergence, curl; multiple integrals; Gauss’s theorem; Green’s theorem; Stokes’ theorem; first- and second-order linear ODEs; matrices — algebra, eigenvalues, eigenvectors; complex numbers.

Newton’s laws; inertial and non-inertial frames; Coriolis and centripetal forces; rigid body dynamics — moment of inertia tensor, torque, angular momentum; Euler’s equations; Kepler’s problem; gravitational law; elastic and inelastic collisions; SHM; damped and forced oscillations; resonance; special relativity — Lorentz transformations, time dilation, length contraction, relativistic mass-energy equivalence (E = mc²).

Wave equation; transverse and longitudinal waves; superposition — interference and beats; phase and group velocity; Doppler effect; Fermat’s principle; reflection and refraction; lenses and mirrors; aberrations; Young’s double-slit; thin films; single-slit and double-slit diffraction; diffraction grating; polarisation — Malus’s law, Brewster’s angle, birefringence.

Coulomb’s law; Gauss’s law; electric field and potential; Laplace and Poisson equations; method of images; dielectrics — polarisation, displacement field D; capacitors; Biot-Savart law; Ampere’s law; magnetic field; Faraday’s law; Lenz’s law; Maxwell’s equations in vacuum and matter; electromagnetic wave equation; Poynting vector; energy and momentum of EM waves; reflection and refraction of EM waves at interfaces.

Solid State: Crystal structure; Bravais lattices; Miller indices; X-ray diffraction (Bragg’s law); reciprocal lattice; Bloch’s theorem; free electron gas; energy bands; Hall effect; Debye model.
Semiconductors: Intrinsic and extrinsic; p-n junction — I-V characteristics; Zener diode; LED; solar cell.
Electronics: BJT — common emitter configuration; FETs; operational amplifiers — inverting and non-inverting, comparators; digital logic — AND, OR, NOT, NAND, NOR, XOR gates; Boolean algebra; Karnaugh maps; flip-flops (SR, JK, D, T).