IIT JAM 2021 Indian Institute of Technology Joint Admission Test
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IIT JAM 2021 Syllabus

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:

  1. Biological Sciences
  2. Biotechnology
  3. Chemistry
  4. Geology
  5. Mathematics
  6. Mathematical Statistics
  7. Physics

Given below is the detailed syllabus of all the seven subjects

Syllabus – Biological Sciences (BL)

General Biology Taxonomy of plants and animals; pro-and 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 X-ray 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; Earth-moon 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 bore-holes.
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 rock-forming 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 rocks-forms 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 non-metallic 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 one-dimension. 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 non-conservative 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. 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.
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
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, 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. A 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.
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, the 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

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. Cayley-Hamilton theorem, symmetric, skew-symmetric 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 Chi-square, 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, Rao-Blackwell and Lehmann-Scheffe theorems, uniformly minimum variance unbiased estimators. Rao-Cramer 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 Neyman-Pearson 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

  1. Biology (44% weightage),
  2. Chemistry (20% weightage),
  3. Mathematics (18% weightage) and
  4. 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; Vertebrates-Nervous system; Endocrine system; Vascular system; Immune system; Digestive system and Reproductive System.
Basic Biotechnology Tissue culture; Application of enzymes; Antigen-antibody 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 micro-organisms

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 hydrogen-like atom; wave-particle 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 non-ideal (van der Waals) gases; Kinetic theory of gases; Maxwell-Boltzmann 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 one-component and two-component 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; Debey-Huckel-Onsager 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; X-rays; NaCl and KCl structures; close packing; atomic and ionic radii; radius ratio rules; lattice energy; Born-Haber cycle; isomorphism; heat capacity of solids.
Adsorption Gibbs adsorption equation; adsorption isotherm; types of adsorption; surface area of adsorbents; surface films on liquids
Spectroscopy Beer-Lambert 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/n-propane/n-butane) and cyclic systems (mono- and di-substituted cyclohexanes)
Organic Reaction Mechanism and Synthetic Applications Chemistry of reactive intermediates (carbocations, carbanions, free radicals, carbenes, nitrenes, benzynes etc…); Hofmann-Curtius-Lossen rearrangement, Wolff rearrangement, Simmons-Smith reaction, Reimer-Tiemann reaction, Michael reaction, Darzens reaction, Wittig reaction and McMurry reaction; Pinacol-pinacolone, Favorskii, benzilic acid rearrangement, dienone-phenol rearrangement, Baeyer-Villeger reaction; oxidation and reduction reactions in organic chemistry; organometallic reagents in organic synthesis (Grignard, organolithium and organocopper); Diels-Alder, 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 UV-vis spectrophotometry; analysis of water, air and soil samples.

Analytical Chemistry: Principles of qualitative and quantitative analysis; acid-base, oxidation-reduction 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, Bolzano-Weierstrass 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, Cauchy-Euler 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, rank-nullity theorem. Rank and inverse of a matrix,  determinant, solutions of systems of linear equations, consistency conditions, Eigenvalues and eigenvectors for matrices, Cayley-Hamilton theorem.
Group Theory 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.
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,  term-wise differentiation and integration of power series

IIT JAM 2021 Exam Pattern

Candidates would be appearing for IIT JAM exam pattern on February 10, 2019. Candidates with the help of exam pattern can prepare well for IIT JAM exam. The exam pattern details include examination type, duration of exam, number of questions, mode of exam etc.

  • IIT JAM exam is objective type online exam, comprised of 3 sections consisting a total of  60 questions carrying 100 marks.
  • The duration of the exam is 3hrs (180 minutes).
  • There will be no negative marking in Section B and Section C.

Complete details for JAM Exam Pattern:

IIT JAM Exam pattern

 

 


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