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IIT JAM - Syllabus

Indian Institutes of Technology Joint Admission Test for MSc 2020

Form Date: 10 Sep - 15 Oct 2020

Computer Based Test

Updated On - August 26 2020 by Akriti Maurya

The detailed **topic-wise **IIT JAM 2021 Syllabus is provided below:

The Biotechnology (BT) test paper comprises of Biology, Chemistry, Mathematics and Physics.

**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; Mitochondria; Endoplasmic reticulum; Chloroplast; Golgi apparatus; Signaling.**Microbiology:**Isolation; Cultivation; Structural features of the virus; Bacteria; Fungi; Protozoa; Pathogenic micro-organisms.

**Atomic Structure:**Bohr’s theory and Schrodinger wave equation; Periodicity in properties; Chemical bonding; Properties of s, p, d and f block elements; Complex formation; Coordination compounds; Chemical equilibria; Chemical thermodynamics (first and second law); Chemical kinetics (zero, first, second and third-order reactions); Photochemistry; Electrochemistry; Acid-base concepts; Stereochemistry of carbon compounds; Inductive, electromeric, conjugative effects and resonance.**Chemistry of Functional Groups:**Hydrocarbons, alkyl halides, alcohols, aldehydes, ketones, carboxylic acids, amines and their derivatives; Aromatic hydrocarbons, halides, nitro and amino compounds, phenols, diazonium salts, carboxylic and sulphonic acids; Mechanism of organic reactions; Soaps and detergents; Synthetic polymers; Biomolecules – amino acids, proteins, nucleic acids, lipids and carbohydrates (polysaccharides); Instrumental techniques – chromatography (TLC, HPLC), electrophoresis, UV-Vis, IR and NMR spectroscopy, mass spectrometry.

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

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

**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:**Equation of state for ideal and non-ideal (van der Waals) gases; Kinetic theory of gases; Maxwell-Boltzmann distribution law; equipartition of energy.**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.**Chemical Thermodynamics:**Reversible and irreversible processes; first law and its application to ideal and non- ideal 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.**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, hyperconjugation) and steric effects and its applications (acid/base property); optical isomerism in compounds with and without any stereocenters (allenes, biphenyls); conformation 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 inter-conversions 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.

**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; the 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; the 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, colour 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 inorganic analysis; radioactivity; nuclear reactions; applications of isotopes.

**The 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, Isostasy; Elements of Plate tectonics; Orogenic cycles.**Geomorphology:**Weathering and erosion; Transportation and deposition due to 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 polarized 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, facies, zones and texture. Characteristic mineral assemblages of pelites in the Barrovian zones and mafic rocks in common facies.**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.

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

The Mathematical Statistics (MS) test paper comprises of Mathematics (40% weightage) and Statistics (60% weightage).

**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.**Integral Calculus:**Fundamental theorems of integral calculus. Double and triple integrals, applications of definite integrals, arc lengths, areas and volumes.**Matrices:**Rank, the inverse of a matrix. Systems of linear equations. Linear transformations, eigenvalues and eigenvectors. Cayley-Hamilton theorem, symmetric, skew-symmetric and orthogonal matrices.

**Probability:**Axiomatic definition of probability and properties, conditional probability, multiplication rule. The theorem of total probability. Bayes’ theorem and independence of events.**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.**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.**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, consistency and efficiency of estimators, 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.**Testing of Hypotheses:**Basic concepts, applications of Neyman-Pearson Lemma for testing simple and composite hypotheses. Likelihood ratio tests for parameters of univariate normal distribution.

**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, 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. Kinematics of moving fluids, equation of continuity, Euler’s equation, Bernoulli’s theorem.**Oscillations, Waves and Optics:**Differential equation for 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.**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 the 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:**Inertial 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. The solution of the Schrödinger equation for the one-dimensional harmonic oscillator. Reflection and transmission at a step potential, Pauli Exclusion Principle. Structure of the atomic nucleus, mass and binding energy. Radioactivity and its applications. Laws of radioactive decay.**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, a 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; a combination of gates; de Morgan’s theorem.

Below is the list of books subject-wise along with names and Author Name:

Subjects | Book Name | Author Name |
---|---|---|

Biotechnology (BT) Biological Sciences | Biological Science | N.P.O Green |

The Gene: An Intimate History | Siddhartha Mukherjee | |

Are We Smart Enough to Know How Smart Animals Are? | Frans De Waal | |

Biotechnology (BT) Biology | Physiology and Biochemistry in Modern Medicine | John James Rickard MacLeod |

Essentials: Biology Standard | Randy Mcgonegal & Alan Damon | |

Molecular Biology of the Gene | James D.Watson | |

Chemistry | Inorganic Chemistry | R.L. Dutta and GS De. |

Organic Chemistry | Jonathan Clyde and Nick Greeves | |

Chemistry Higher Level | Catrin Brown and Mike Ford | |

Geology | GATE Geology & Geophysics | Amaresh Singh & Jitendra Mishra |

IIT JAM: MSc Geology Previous Years Paper | Ajhar Hussain | |

An Introduction to Geology | VS Joji | |

| IIT JAM Mathematics Solution Book | Rajendra Dubey |

IIT JAM 2020 – Mathematics | Kuldeep Choudhary | |

Study Material for IIT JAM Mathematics | Sourav Sir’s Classes | |

Physics | IIT JAM Theory & Practice Book | Sushil K Tomar |

IIT JAM Physics Solved Papers & Practice Set | Antique Hasan | |

IIT JAM Theory & Practice A Comprehensive Book | Sushil K Tomar |

Candidates can refer to the books mentioned above for IIT Joint Admission Test preparation.

Candidates can download the IIT JAM 2021 Syllabus Pdf from the given mentioned links:

- JAM Entrance Exam 2021 Biotechnology Syllabus Pdf
- IIT JAM 2021 Physics Syllabus Pdf
- Joint Admission Test Chemistry 2021 Syllabus Pdf
- IIT JAM Mathematics Syllabus Pdf 2021
- JAM Statistic Mathematics Syllabus 2021
- JAM 2021 Geography Syllabus Pdf

Applicants can download the previous year's question paper from the given mentioned table to get an idea about the exam:

2017 | 2018 | 2019 |
---|---|---|

Biotechnology | Biotechnology | Biotechnology |

Chemistry | Chemistry | Chemistry |

Geology | Geology | Geology |

Mathematics | Mathematics | Mathematics |

Mathematics Statistics | Mathematics Statistics | Mathematics Statistics |

Physics | Physics | Physics |

10 Sep 2020

15 Oct 2020

24

14 Feb 2021

₹ 1,500

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