IIT
JAM Syllabus 2017
Applicants who are looking for IIT JAM Syllabus 2017 of
Physics, Mathematics, Biological Science, Chemistry, Geology and Biotechnology are
glad to know that our team has given all Information about Jam Syllabus below. Applicants
can also download PDF file of Syllabus through online process. For better
preparation of exam candidates need to study the whole syllabus deeply because
minor topic of syllabus can play a major role to attain high rank in IIT JAM
Examination.
IIT
JAM Syllabus 2017
IIT JAM Syllabus for Biological Sciences (BL)
General Biology
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Basics of
Biochemistry, Biophysics, Molecular Biology
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Microbiology,
Cell Biology and Immunology
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Mathematical
Sciences
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IIT JAM Syllabus for Biological Sciences (BL)
The Planet Earth
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Geomorphology
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Structural
Geology
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Palaeontology
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Stratigraphy
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Mineralogy
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Petrology
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Economic Geology
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Applied Geology
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Ground
Water
Mineral
exploration
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Elements
of Mining Geology and Environmental Geology
Principles
of Engineering Geology
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IIT JAM Syllabus for Physics (PH)
Mathematical
Methods
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Mechanics and General Properties of
Matter
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Oscillations,
Waves and Optics
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Electricity and
Magnetism
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Kinetic theory,
Thermodynamics
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Modern Physics
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Solid State
Physics, Devices and Electronics
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IIT JAM Syllabus for Mathematical Statistics (MS)
Sequences and Series:
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Convergence
of sequences of real numbers, Comparison, root and ratio tests for
convergence of series of real numbers.
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Differential Calculus:
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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.
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Integral Calculus
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Fundamental
theorems of integral calculus. Double and triple integrals, applications of
definite integrals, arc lengths, areas and volumes.
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Matrices:
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Rank,
inverse of a matrix. Systems of linear equations. Linear transformations,
eigenvalues and eigenvectors. Cayley-Hamilton theorem, symmetric,
skew-symmetric and orthogonal matrices.
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Differential Equations:
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Ordinary
differential equations of the first order of the form y' = f(x,y). Linear
differential equations of the second order with constant coefficients
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Probability:
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Axiomatic
definition of probability and properties, conditional probability, multiplication
rule. Theorem of total probability. Bayes’ theorem and independence of
events.
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Random Variables:
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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.
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Standard Distributions:
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Binomial,
negative binomial, geometric, Poisson, hypergeometric, uniform, exponential,
gamma, beta and normal distributions. Poisson and normal approximations of a
binomial distribution.
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Joint Distributions:
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Joint,
marginal and conditional distributions. Distribution of functions of random
variables. Product moments, correlation, simple linear regression.
Independence of random variables.
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Sampling distributions:
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Chi-square,
t and F distributions, and their properties.
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Limit Theorems:
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Weak
law of large numbers. Central limit theorem (i.i.d. with finite variance case
only).
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Estimation:
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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 normal, and one parameter
exponential distributions.
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Testing of Hypotheses
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Basic
concepts, applications of Neyman-Pearson Lemma for testing simple and
composite hypotheses. Likelihood ratio tests for parameters of univariate
normal distribution.
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IIT JAM Syllabus for Chemistry (CY)
Physical
Chemistry
Basic
Mathematical Concepts
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Functions,
maxima and minima, integrals, ordinary differential equations, vectors and
matrices, determinants, elementary statistics and probability theory
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Atomic
and Molecular Structure
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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.
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Theory
of Gases
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Equation
of state of ideal and non-ideal (van der Waals) gases, Kinetic theory of
gases. Maxwell-Boltzmann distribution law; equipartition of energy.
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Solid
state
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Crystals,
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.
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Thermodynamics
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Reversible
and irreversible processes; First law and its application to ideal and
nonideal gases; Thermochemistry; Second law; Entropy and free energy,
Criteria for spontaneity.
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Chemical
and Phase Equilibria
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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.
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Electrochemistry
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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-Onsagar theory of strong
electrolytes.
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Chemical
Kinetics
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Reactions
of various order, Arrhenius equation, Collision theory; Theory of absolute
reaction rate; Chain reactions – Normal and branched chain reactions; Enzyme
kinetics; photochemical processes; Catalysis.
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Adsorption
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Gibbs
adsorption equation, adsorption isotherm, types of adsorption, surface area
of adsorbents, surface films on liquids.
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Organic
Chemistry
Basic
Concepts in Organic Chemistry and Stereochemistry
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Electronic
effect (resonance, inductive, hyperconjugation) and steric effects and its
applications (acid/base property). Optical isomerism in compounds without any
stereocenters (allenes, biphenyls), conformation of acyclic systems
(substituted ethane/npropane/n-butane) and cyclic systems (mono and di
substituted cyclohexanes).
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Organic
Reaction Mechanism and Synthetic Applications
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Chemistry
reactive intermediates, carbine, nitrene, benzyne, Hofmann-Curtius-Lossen
rearrangement, Wolf rearrangement, Simmons-Smith reaction, Reimer-Tiemann
reaction, Michael reaction, Darzens reaction, Witting reaction, McMurry
reaction. Pinacol-pinacolone, Favorskii, benzilic acid rearrangement,
dienonc-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.
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Qualitative
Organic Analysis
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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.
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Natural
Products Chemistry:
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Introductory
chemistry of alkaloids, terpenes, carbohydrates, amino acids, peptides and
nucleic acids.
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Heterocyclic
Chemistry
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Monocyclic
compounds with one hetero atom.
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Inorganic
Chemistry
Periodic
Table
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Periodic
classification of elements and periodicity in properties; general methods of
isolation and purification of elements.
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Chemical
Bonding and Shapes of Compounds
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Types
of bonding; VSEPR theory and shapes of molecules; hybridization; dipole moment;
ionic solids; structure of NaCl, CsCl, diamond and graphite; lattice energy.
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Main
Group Elements (s and p blocks)
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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.
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Transition
Metals (d block)
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Characteristics
of 3d elements; oxide, 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.
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Bioinorganic
Chemistry
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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.
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Instrumental
Methods of Analysis
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Basic
principles, instrumentations and simple applications of conductometry,
potentiometry, UV-vis spectrophotometry, analysis of water, air and soil
samples.
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Analytical
Chemistry
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Principles
of qualitative and quantitative analysis; acid-base, oxidation-reduction and
EDTA and precipitation reactions; use of indicators; use of organic reagents
in inorganic analysis; radioactivity; nuclear reactions; applications of
isotopes.
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IIT JAM Syllabus for Mathematics (MA)
Sequences and Series of Real Numbers
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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.
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Functions of One Variable
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limit,
continuity, differentiation, Rolle’s Theorem, Mean value theorem. Taylor's
theorem. Maxima and minima.
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Functions of Two Real Variables
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limit,
continuity, partial derivatives, differentiability, maxima and minima. Method
of Lagrange multipliers, Homogeneous functions including Euler’s theorem.
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Integral Calculus
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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.
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Differential Equations
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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.
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Vector Calculus
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Scalar
and vector fields, gradient, divergence, curl and Laplacian. Scalar line
integrals and vector line integrals, scalar surface integrals and vector
surface integrals, Green's, Stokes and Gauss theorems and their applications.
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Group Theory
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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 (only group theory).
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Linear Algebra
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Vector
spaces, Linear dependence of vectors, basis, dimension, linear
transformations, matrix representation with respect to an ordered basis,
Range space and null space, rank-nullity theorem; Rank and inverse of a
matrix, determinant, solutions of systems of linear equations, consistency
conditions. Eigenvalues and eigenvectors. Cayley-Hamilton theorem. Symmetric,
skew-symmetric, hermitian, skew-hermitian, orthogonal and unitary matrices.
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Real Analysis
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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.
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IIT JAM Syllabus for Biotechnology (BT)
Biology
(10+2+3 Level)
General
Biology
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Taxonomy;
Heredity; Genetic variation; Conservation; Principles of ecology; Evolution;
Techniques in modern biology.
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Biochemistry
and Physiology
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Carbohydrates;
Proteins; Lipids; Nucleic acids; Enzymes; Vitamins; Hormones; Metabolism –
Glycolysis, TCA cycle, Oxidative Phosphoryation; Photosynthesis. Nitrogen
Fixation, Fertilization and Osmoregulation; Vertebrates-Nervous system;
Endocrine system; Vascular system; Immune system; Digestive system and
Reproductive System.
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Basic
Biotechnology
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Tissue
culture; Application of enzymes; Antigen-antibody interaction; Antibody
production; Diagnostic aids.
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Molecular
Biology
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DNA;
RNA; Replication; Transcription; Translation; Proteins; Lipids and Membranes;
Operon model; Gene transfer.
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Cell
Biology
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Cell
cycle; Cytoskeletal elements; Mitochondria; Endoplasmic reticulum;
Chloroplast; Golgi apparatus; Signaling.
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Microbiology
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Isolation;
Cultivation; Structural features of virus; Bacteria; Fungi; Protozoa;
Pathogenic micro-organizms.
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Chemistry
(10+2+3 Level)
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.
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Mathematics
(10+2 Level)
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.
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Physics
(10+2 Level
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.
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