IIT JAM Syllabus 2016 Download Physics Chemistry Math Exam Pattern - Sarkari Naukri Career

Saturday, 30 January 2016

IIT JAM Syllabus 2016 Download Physics Chemistry Math Exam Pattern

IIT JAM Syllabus 2016
IIT JAM Entrance Exam is conducted every year for the applicants who are looking for admission in MSC & PhD courses in Indian Institutes of Technology (IITs) and Indian Institute of Science (IISC), Bangalore.
Read also: IIT JAM Result 2016

Candidates on this page we are providing you IIT JAM Syllabus for Physics, Chemistry, Maths and other subjects with complete information and along with proper exam pattern, to score good marks in exam you need to have proper syllabus as you are get to aware of the questions which come in exam and exam pattern tells you how many questions comes with total marks, time duration.

Applicants in the below section we have provided you complete IIT JAM Syllabus 2016 Subject wise with exam pattern you can download it in pdf format or save it. All the details given on the page is prepared by our portal team www.sarkarinaukricareer.in.

IIT JAM Syllabus:

IIT JAM exam consist of the subjects as highlighted below, you can prepare according to the subjects and topics given under it to get good marks and crack the exam.

·         Physics
·         Chemistry
·         Mathematics
·         Mathematical Statistics
·         Biotechnology
·         Biological Sciences

IIT JAM Physics Syllabus:

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1. 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.

2. Mathematical Methods

Calculus of single and multiple variables
 Partial derivatives
 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.

3. 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, traveling 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
 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.

4. 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.

5. Polarization

 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
 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.

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6. 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
 Wave-particle duality
 Uncertainty principle
 The superposition principle
 Calculation of expectation values
 Schrödinger equation and its solution for one, two and three dimensional boxes
 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.
 Radioactivity and its applications
 Laws of radioactive decay.

7. 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
 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; combination of gates; de Morgan’s theorem.

IIT JAM Chemistry Syllabus

 Maxima and Minima
 Ordinary differential equations
 Vectors and matrices
 Elementary statistics and probability theory
 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 homo-nuclear diatomic molecules
 Equation of state of ideal and non-ideal (van der Waals) gases
 Kinetic theory of gases
 Maxwell-Boltzmann distribution law
 Equipartition of energy.
 Crystal systems
 NaCl and KCl structures
 Close packing
 Atomic and ionic radii
 Radius ratio rules
 Lattice energy
 Born-Haber cycle
 Heat capacity of solids
 Chemical Thermodynamics: Reversible and irreversible processes
 First law and its application to ideal and non-ideal gases
 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
 Solubility product
 Phase equilibria– Phase rule and its application to one-component and two-component systems
 Colligative properties
 Conductance and its applications
 Transport number
 Galvanic cells
 EMF and Free energy
 Concentration cells with and without transport
 Concentration cells with and without transport
 Debey-Huckel-Onsagar theory of strong electrolytes
 Chemical Kinetics
 Reactions of various order
 Arrhenius equation
 Collision theory
 Theory of absolute reaction rate
 Chain reactions – Normal and branched chain reactions
 Enzyme kinetics
 Photochemical processes
 Gibbs adsorption equation
 Adsorption isotherm
 Types of adsorption
 Surface area of adsorbents
 Surface films on liquids
 Basic Concepts in Organic Chemistry and Stereochemistry
 Electronic effect and steric effects and its applications (acid/base property)
 Optical isomerism in compounds without any stereo centers
 Conformation of acyclic systems and cyclic systems
 Organic Reaction Mechanism and Synthetic Applications
 Chemistry reactive intermediates
 Hofmann-Curtius-Lossen rearrangement
 Wolf rearrangement
 Simmons-Smith reaction
 Reimer-Tiemann reaction
 Michael reaction
 Darzens reaction
 Witting reaction
 McMurry reaction
 Benzilic acid rearrangement
 Ienonc-phenol rearrangement
 Bayer-Villeger reaction
 Oxidation and reduction reactions in organic chemistry
 Organometallic reagents in organic synthesis (Grignard and organocopper)
 Diels-Alder reaction
 Sigmatropic reactions
 Qualitative Organic Analysis
 Functional group interconversions
 Structural problems using chemical reactions
 Identification of functional groups by chemical tests
 Elementary 1H NMR and IR spectroscopy as a tool for structural elucidation
 Natural Products Chemistry
 Introductory chemistry of alkaloids
 Amino acids
 Peptides and nucleic acids
 Heterocyclic Chemistry
 Monocyclic compounds with one hetero atom
 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
 Dipole moment
 Ionic solids
 Structure of NaCl, CsCl, diamond and graphite
 Lattice energy
 Main Group Elements
 Chemistry with emphasis on group relationship and gradation in properties
 Structure of electron deficient compounds of main group elements and application of main group elements
 Transition Metals (d block)
 Characteristics of 3d elements
 Hydroxide and salts of first row metals
 Coordination complexes
 VB and Crystal Field theoretical approaches for structure
 Color and magnetic properties of metal complexes
 Organometallic compounds
 Metal carnonyls
 Nitrosyls and metallocenes
 Ligands with back bonding capabilities
 MO theory approaches to explain bonding in metal- carbonyl, metal-nitrosyl and metalphosphine complexes
 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+, function of hemoglobin and myoglobin
 Instrumentations and simple applications of conductometry
 UV-vis spectrophotometry
 Analysis of water
 Air and soil samples
 Principles of qualitative and quantitative analysis
 Oxidation-reduction and EDTA and precipitation reactions
 Use of indicators
 Use of organic reagents in inorganic analysis
 Nuclear reactions
 Applications of isotopes.

IIT JAM Mathematics Syllabus 

Sequences and Series of Real Numbers
 Convergent and divergent sequences
 Bounded and monotone sequences
 Convergence criteria for sequences of real numbers
 Cauchy sequences
 Absolute and conditional convergence
 Tests of convergence for series of positive terms – comparison test
 Ratio test
 Root test
 Leibnitz test for convergence of alternating series
 Rolle’s Theorem
 Mean value theorem
 Taylor’s theorem
 Maxima and minima
 Partial Derivatives
 Maxima and minima
 Method of Lagrange multipliers
 Homogeneous functions including Euler’s theorem
 Integration as the inverse process of differentiation
 Definite integrals and their properties
 Fundamental theorem of integral calculus
 Double and triple integrals
 Change of order of integration
 Calculating surface areas and volumes using double integrals and applications
 Calculating volumes using triple integrals and applications
 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-separable solutions
 Linear differential equations of second and higher order with constant coefficients
 Method of variation of parameters
 Cauchy-Euler equation
 Vector Calculus
 Scalar and vector fields
 Curl and Laplacian
 Scalar line integrals and vector line integrals
 Scalar surface integrals and vector surface integrals
 Stokes and Gauss theorems and their applications
 Abelian groups
 Non-abelian groups
 Cyclic groups
 Permutation groups
 Normal subgroups
 Lagrange’s Theorem for finite groups
 Group homomorphism’s and basic concepts of quotient groups (only group theory)
 Vector spaces
 Linear dependence of vectors
 Linear transformations
 Matrix representation with respect to an ordered basis
 Range space and null space
 Rank-nullity theorem
 Rank and inverse of a matrix
 Solutions of systems of linear equations
 Consistency conditions
 Eigenvalues and eigenvectors
 Cayley-Hamilton theorem
 Orthogonal and unitary matrices
 Real Analysis: Interior points
 Limit points
 Open sets
 Closed sets
 Bounded sets
 Connected sets
 Compact sets
 Completeness of R
 Power series (of real variable) including Taylor’s and Maclaurin’s
 Domain of convergence
 Term-wise differentiation and integration of power series.

IIT JAM Mathematical Statistics Syllabus
 Convergence of sequences of real numbers
 Root and ratio tests for convergence of series of real numbers
 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
 Fundamental theorems of integral calculus
 Double and triple integrals
 Applications of definite integrals
 Arc lengths
 Areas and volumes
 Inverse of a matrix
 Systems of linear equations
 Linear transformations
 Eigenvalues and eigenvectors
 Cayley-Hamilton theorem
 Skew-symmetric and orthogonal matrices
 Ordinary differential equations of the first order of the form y’ = f(x,y)
 Linear differential equations of the second order with constant coefficients Statistics
 Axiomatic definition of probability and properties
 Conditional probability
 Multiplication rule
 Theorem of total probability
 Bayes’ theorem and independence of events
 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
 Negative binomial
 Beta and normal distributions
 Poisson and normal approximations of a binomial distribution
 Joint, marginal and conditional distributions
 Distribution of functions of random variables
 Product moments
 Simple linear regression
 Independence of random variables
 Chi-square, t and F distributions, and their properties.
 Limit Theorems: Weak law of large numbers.
 Central limit theorem
 Estimation: Unbiasedness
 Consistency and efficiency of estimators
 Method of moments and method of maximum likelihood
 Sufficiency, Factorization theorem
 RaoBlackwell and Lehmann- Scheffe theorems
 Uniformly minimum variance unbiased estimators
 Rao-Cramer inequality
 Confidence intervals for the parameters of univariate normal, two independent normal, 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.

IIT JAM Biotechnology Syllabus

1. Biology (10+2+3)

 Genetic variation
 Principles of ecology
 Techniques in modern biology
 Biochemistry and Physiology
 Nucleic acids
 Metabolism – Glycolysis
 TCA cycle
 Oxidative Phosphorylation
 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
 Lipids and Membranes
 Operon model
 Gene transfer
 Cell Biology
 Cell cycle
 Cytoskeletal elements
 Endoplasmic reticulum
 Golgi apparatus
 Microbiology: Isolation
 Structural features of virus
 Pathogenic micro-organisms.

2. Chemistry (10+2+3)

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
 Chemical kinetics
 Acid-base concepts
 Stereochemistry of carbon compounds
 Conjugative effects and resonance
 Chemistry of Functional Groups: Hydrocarbons
 Alkyl halides
 Carboxylic acids
 Amines and their derivatives
 Aromatic hydrocarbons
 Nitro and amino compounds
 Diazonium salts
 Carboxylic and sulphonic acids
 Mechanism of organic reactions
 Soaps and detergents
 Synthetic polymers
 Biomolecules – amino acids
 Nucleic acids
 Lipids and carbohydrates (polysaccharides)
 Instrumental techniques – chromatography (TLC, HPLC), electrophoresis, UV-Vis, IR and NMR spectroscopy, mass spectrometry.

3. Mathematics (10+2)

 Relations and Functions
 Mathematical Induction
 Complex numbers
 Linear and Quadratic equations
 Sequences and Series
 Cartesian System of Rectangular Coordinates
 Straight lines and Family
 Conic Sections
 Permutations and Combinations
 Binomial Theorem
 Exponential and Logarithmic Series
 Mathematical Logic
 Three Dimensional Geometry
 Matrices and Determinants
 Boolean algebra
 Limits and Continuity
 Application of Derivatives
 Definite and Indefinite Integrals
 Differential Equations.

4. Physics (10+2)

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

IIT JAM Biological Science Syllabus
 Taxonomy and physiology
 Pro-and eukaryotic organisms
 Cell organelles and their function
 Multicellular organization
 Energy transformations
 Internal transport systems of plants
 Regulation of body fluids and excretory mechanisms
 Cellular reproduction
 Mendelian genetics and heredity
 Biology and populations and communities
 Genesis and diversity of organisms
 Animal behavior, plant and animal diseases
 Basics of Biochemistry
 Molecular Biology
 Trace elements in biological systems
 Enzymes and proteins
 Biological oxidations
 Carbohydrates and lipids and their metabolisms
 Digestion and absorption
 Detoxifying mechanisms
 Plant and animal hormones and their action
 Nervous system
 Nucleic acids
 Nature of gene and its function
 Genetic code
 Synthesis of nucleic acids and proteins
 Enzyme mechanisms and kinetics
 Nucleic acid metabolism
 Photo synthesis
 Structure of biomolecules
 Intra and intermolecular forces
 Thermodynamics and kinetics of biological systems
 Principles of x-ray diffraction
 IR and UV spectroscopy and hydrodynamic techniques
 Cell Biology and Immunology
 Classes of microorganisms and their characterization
 Nutrient requirement for growth
 Laboratory techniques in microbiology
 Pathogenic microorganisms and disease
 Applied microbiology
 Microbial genetics
 Innate and adaptive immunity
 Antigen antibodies
 Cell theory
 Cell architecture
 Methods of cell fractionation
 Cell division
 Types of chromosome structure
 Biochemical genetics- inborn errors of metabolisms
 Viruses and fungi
 Principles of processes of development
 Mathematical Sciences
 Mathematical functions (algebraic, exponential, and trigonometric)
 Their derivatives (derivatives and integrals of simple functions)
 Permutations and combinations.

IIT JAM Exam Pattern:

Candidates IIT JAM exam consist of three sections Group A, B & C, total questions of 60 with 100 marks as given in the table below:

No. Of Questions
Total Marks
Group A
100 Marks
Group B
Group C

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