IIT JAM

• Cell Biology

  5 of 6 topics

  • Structure of prokaryotic and eukaryotic cells
  • Membrane structure and function
  • Organelles and internal organization of the eukaryotic cell
  • Cell communication – signalling pathways: endocrine and paracrine signalling
  • Extracellular matrix and apoptosis

• Biochemistry

  4 topics

  • Structure and function of biological macromolecules
  • Enzymes – basic mechanisms of enzyme catalysis and regulation, Hill coefficient, Michaelis-Menten kinetics, enzyme inhibition, vitamins as coenzymes
  • Bioenergetics – free-energy change, high-energy compounds, biological oxidation-reduction reactions and reduction potential
  • Metabolism – glycolysis, TCA cycle and their regulation, oxidative phosphorylation, photosynthesis, nitrogen fixation, urea cycle

• Genetics

  5 topics

  • Mendelian inheritance
  • Exception to Mendelian law of independent assortment
  • Genetic interactions, linkage, recombination and chromosome mapping, Chromosomal mutations
  • Genetic disorders
  • Population Genetics

• Molecular Biology

  5 of 8 topics

  • Landmark experiments that established DNA is the genetic material
  • DNA replication
  • Proof-reading and repair of DNA
  • DNA recombination
  • Transcription

• Evolution and Ecology

  5 of 11 topics

  • Darwinian view – natural selection, fossil record and descent with modification
  • Different types of speciation
  • Phylogenetic classification
  • Origin of life – abiotic synthesis of biological macromolecules, protocell, dating fossils and origin of multicellularity
  • Climate patterns

Showing 24 of 34 topics in this subject.Show all 34 topics →

• Microbiology

  5 of 12 topics

  • Microbial genetics - transformation, conjugation and transduction
  • Structural features of viruses, bacteria, fungi and protozoa
  • Pathogenic microorganisms
  • Nutrition-based classification of microbes
  • Microbial metabolism

• Plant Biology

  4 of 11 topics

  • Types of tissues and organs
  • Primary and secondary growth
  • Morphogenesis
  • Transport in vascular plants

• Animal Biology

  4 of 5 topics

  • Digestive, circulatory, respiratory, excretory, nervous, reproductive and endocrine systems
  • Basics of immunology – Innate and adaptive immunity, Immune cells, immunoglobulins and major histocompatibility complexes
  • Animal development – Fertilization, embryonic pattern formation, cleavage, gastrulation, cellular differentiation and morphogenesis
  • Mammalian cell culture, animal cloning

Showing 13 of 28 topics in this subject.Show all 28 topics →

• Biochemical and Microscopy Techniques

  4 of 5 topics

  • Chromatography
  • Centrifugation
  • Electrophoresis
  • ELISA, Western blotting and immunostaining

• Molecular Biology Techniques

  4 of 6 topics

  • DNA cloning – plasmid vectors, and restriction enzymes
  • Polymerase Chain Reaction
  • Expression of cloned eukaryotic genes in bacteria
  • Hybridization techniques

• Computational Biology

  4 of 5 topics

  • Bioinformatics
  • Sequence and structure databases
  • DNA, RNA and protein sequence analysis
  • Secondary structure and 3D structure prediction

• Instrumental Techniques – Spectroscopy

  4 topics

  • fundamentals of molecular spectroscopy, emission and absorption spectroscopy, UV-Vis, circular dichroism, FTIR and 1-D proton NMR spectroscopy, basics of mass spectrometry
  • Basics of calorimetry
  • Basic concepts of crystallography
  • Flowcytometry

Showing 16 of 20 topics in this subject.Show all 20 topics →

• Structure and properties of Atoms

  2 topics

  • Bohr’s theory
  • Periodicity in properties

• Bonding in molecules

  3 topics

  • Chemical bonding
  • Complex formation
  • Physical and chemical basis of molecular interactions

• Chemical kinetics, thermodynamics, and equilibrium

  3 topics

  • Chemical equilibrium
  • Chemical thermodynamics (first and second law)
  • Chemical kinetics (zero and first order reactions)

• Physical and chemical properties of compounds

  4 of 8 topics

  • Chemical catalysis
  • Acid-base concepts
  • Concepts of pH and buffer
  • Conjugative effects and resonance

• Chemistry of organic compounds

  4 of 10 topics

  • Hydrocarbons
  • Alkyl halides
  • Alcohols
  • Aldehydes

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• General mathematics

  4 of 23 topics

  • Sets
  • Relations and Functions
  • Logarithms
  • Complex numbers

• Probability & Statistics

  4 topics

  • Mean, median, mode and standard deviation
  • Random variables
  • Poisson, normal and binomial distributions
  • Correlation and regression analysis

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• General physics

  4 of 22 topics

  • Units and measurements
  • Motion in one and two dimensions
  • Laws of motion
  • Work and kinetic energy

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• Basic Mathematical Concepts (10+2 Level)

  4 of 7 topics

  • Functions
  • maxima and minima
  • integrals
  • ordinary differential equations

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• Atomic and Molecular Structure

  4 of 8 topics

  • Planck’s black body radiation, Photoelectric effect, Bohr’s theory, de Broglie postulate, Heisenberg’s Uncertainty Principle
  • Schr¨odinger’s wave equation (including mathematical treatment), postulates of quantum mechanics, normalized and orthogonal wave functions, its complex conjugate (idea of complex numbers) and significance of Ψ2
  • Operators
  • Particle in one- dimension box, radial and angular wave functions for hydrogen atom, radial probability distribution

• Gaseous State

  4 of 6 topics

  • Kinetic molecular model of a gas: collision frequency
  • collision diameter
  • mean free path and viscosity of gases
  • Maxwell-Boltzmann distribution: molecular velocities, law of equipartition of energy, molecular basis of heat capacities

• Liquid State

  3 topics

  • Physical properties of Liquid, vapour pressure, surface tension and co-efficient of viscosity and their applications
  • effect of concentration of solutes on surface tension and viscosity
  • effect of temperature on viscosity of liquids

• Solid State

  4 of 6 topics

  • Unit Cells, Miller indices, crystal systems and Bravais Lattices, elementary applications of vectors to crystal systems
  • X-ray diffraction, Bragg’s Law, Structure of NaCl, CsCl, and KCl, diamond, and graphite
  • Close packing in metals and metal compounds, semiconductors, insulators
  • Defects in crystals, lattice energy

• Chemical Thermodynamics

  4 topics

  • Mathematical treatment: Exact and in-exact differentials, partial derivatives, Euler’s reciprocity, cyclic rule
  • Reversible and irreversible processes
  • Laws of thermodynamics, thermochemistry, thermodynamic functions, such as enthalpy, entropy, and Gibbs free energy, their properties and applications
  • Partial molar quantities, dependence of thermodynamic parameters on composition, Gibbs Duhem equation, chemical potential and its applications

• Chemical and Phase Equilibria

  4 of 16 topics

  • Law of mass action
  • Kp, Kc, Kx and Kn
  • Effect of temperature on K
  • Le-Chatelier principle

• Electrochemistry

  4 of 10 topics

  • Conductivity, equivalent and molar conductivity and their properties
  • Kohlrausch law
  • DebyeH¨uckel-Onsager equation
  • Ionic velocities, mobilities, transference numbers

• Chemical Kinetics

  4 of 10 topics

  • Order and molecularity of a reaction, differential and integrated form of rate expressions
  • Kinetics of opposing, parallel, and consecutive reactions
  • Steady state approximation in reaction mechanisms
  • Chain reactions

• Adsorption

  4 of 5 topics

  • Gibbs adsorption equation
  • adsorption isotherm
  • types of adsorption
  • surface area of adsorbents

• Spectroscopy

  2 topics

  • Beer-Lambert’s law
  • fundamental concepts of rotational, vibrational, electronic and magnetic resonance spectroscopy

Showing 37 of 70 topics in this subject.Show all 70 topics →

• Basic Concepts in Organic Chemistry and Stereochemistry

  3 topics

  • 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, substituted cyclohexanes, and polycyclic (cis and trans decalins) systems

• Organic Reaction Mechanism and Synthetic Applications

  4 of 8 topics

  • Chemistry of reactive intermediates (carbocations, carbanions, free radicals, carbenes, nitrenes, benzynes)
  • nucleophilic substitution, elimination reactions and mechanisms
  • Hofmann-Curtius- Lossen rearrangement, Wolff rearrangement, Simmons-Smith reaction, Reimer-Tiemann reaction, Michael reaction, Darzens reaction, Wittig reaction and McMurry reaction
  • Pinacolpinacolone, Favorskii, benzilic acid rearrangement, Baeyer-Villeger reaction

• Qualitative Organic Analysis

  2 topics

  • Identification of functional groups by chemical tests
  • elementary UV, IR and 1H NMR spectroscopic techniques as tools for structural elucidation of simple organic molecules

• Natural Products Chemistry

  1 topics

  • Chemistry of alkaloids, steroids, terpenes, carbohydrates, amino acids, peptides and nucleic acids

• Aromatic and Heterocyclic Chemistry

  2 topics

  • Monocyclic, bicyclic and tricyclic aromatic hydrocarbons, and monocyclic compounds with one hetero atom: synthesis, reactivity and properties, aromaticity
  • Electrophilic and nucleophilic aromatic substitution reactions

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• Periodic Table

  2 topics

  • Periodic classification of elements, Aufbau’s principle, periodicity
  • Variations of orbital energy, effective nuclear charge, atomic, covalent, and ionic radii, ionization enthalpy, electron gain enthalpy, and electronegativity with atomic number, electronic configuration of diatomic molecules (first and second row elements)

• Extractions of Metals

  2 topics

  • General methods of isolation and purification of elements
  • Principles and applications of Ellingham diagram

• Chemical Bonding and shapes of molecules

  4 of 9 topics

  • Ionic bond: Packing of ions in crystals, radius ratio rule, Born-Land´e equation, Kapustinskii expression, Madelung constant, Born-Haber cycle, solvation energy, polarizing power and polarizability
  • Fajan’s rules
  • Covalent bond: Lewis structure, valence bond theory. Hybridization, molecular orbital theory, molecular orbital diagrams of diatomic and simple polyatomic molecules and ions
  • Multiple bonding (σ and π bond approach) and bond lengths

• Main Group Elements (s and p blocks)

  4 of 11 topics

  • Reactions of alkali and alkaline earth metals with oxygen, hydrogen and water
  • Alkali and alkaline earth metals in liquid ammonia
  • Gradation in properties of main group element in a group
  • Inert pair effect

• Transition Metals (d block)

  4 of 6 topics

  • Characteristics of d-block 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

• Bioinorganic Chemistry

  3 topics

  • Essentials and trace elements of life
  • basic reactions in the biological systems and the role of metal ions, especially Fe2+, and Zn2+
  • structure and function of myoglobin, hemoglobin and carbonic anhydrase

• Instrumental Methods of Analysis

  3 topics

  • Basic principles
  • instrumentations and simple applications of conductometry, potentiometry and UV-vis spectrophotometry
  • analyses of water, air and soil samples

• Analytical Chemistry

  4 of 7 topics

  • Principles of qualitative and quantitative analysis
  • Acid-base, oxidation- reduction and complexometric titrations using EDTA
  • Precipitation reactions
  • Use and types of indicators

Showing 26 of 43 topics in this subject.Show all 43 topics →

• Consumer theory

  4 of 6 topics

  • Preference
  • utility and representation theorem
  • budget constraint, choice
  • demand (ordinary and compensated)

• Theory of production and cost

  4 of 5 topics

  • Production technology, isoquants
  • production function with one and more inputs
  • returns to scale
  • short run and long run costs

• General equilibrium and welfare

  3 topics

  • Equilibrium and efficiency under pure exchange and production
  • welfare economics
  • theorems of welfare economics

• Market structure

  4 topics

  • Perfect competition, monopoly
  • pricing with market power
  • price discrimination (first, second and third)
  • monopolistic competition and oligopoly

• Game theory

  4 of 7 topics

  • Strategic form games
  • iterated elimination of dominated strategies
  • Nash equilibrium
  • mixed extension and mixed strategy Nash equilibrium

• Public goods and market failure

  2 topics

  • Externalities
  • public goods and markets with asymmetric information (adverse selection and moral hazard)

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• National income accounting

  4 topics

  • Structure
  • key concepts, measurements
  • circular flow of income - for closed and open economy, money
  • fiscal and foreign sector variables - concepts and measurements

• Behavioural and technological functions

  4 of 6 topics

  • Consumption functions - absolute income hypothesis
  • life-cycle and permanent income hypothesis
  • random walk model of consumption
  • investment functions - Keynesian

• Business cycles and economic models (closed economy)

  4 of 7 topics

  • Business cycles-facts and features
  • the Classical model of the business cycle
  • the Keynesian model of the business cycle
  • simple Keynesian cross model of income and employment determination and the multiplier (in a closed economy)

• Business cycles and economic models (open economy)

  4 topics

  • Open economy
  • Mundell-Fleming model
  • Keynesian flexible price (aggregate demand and aggregate supply) model
  • role of monetary and fiscal policies

• Inflation and unemployment

  2 topics

  • Inflation - theories, measurement, causes, and effects
  • unemployment - types, measurement, causes, and effects

• Growth models

  2 topics

  • Harrod-Domar
  • Solow and Neo-classical growth models (AK model, Romer model and Schumpeterian growth model)

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• Probability theory

  4 of 11 topics

  • Sample space and events
  • axioms of probability and their properties
  • conditional probability and Bayes’ rule
  • independent events

• Mathematical statistics

  4 of 9 topics

  • Random sampling
  • types of sampling
  • point and interval estimation
  • estimation of population parameters using methods of moments and maximum likelihood procedures

• Hypothesis testing

  4 of 5 topics

  • distributions of test statistics
  • testing hypotheses related to population parameters
  • Type I and Type II errors
  • the power of a test

• Correlation and regression

  4 of 7 topics

  • Correlation and types of correlation
  • the nature of regression analysis
  • method of Ordinary Least Squares (OLS)
  • CLRM assumptions

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• Indian economy before 1950

  2 topics

  • Transfer of tribute
  • deindustrialization of India

• Planning and Indian development

  3 topics

  • Planning models
  • relation between agricultural and industrial growth
  • challenges faced by Indian planning

• Indian economy after 1991

  3 topics

  • Balance of payments crisis in 1991
  • major aspects of economic reforms in India after 1991
  • reforms in trade and foreign investment

• Banking, finance and macroeconomic policies

  4 of 5 topics

  • aspects of banking in India
  • CRR and SLR
  • financial sector reforms in India
  • fiscal and monetary policy

• Inequalities in social development

  3 topics

  • India’s achievements in health
  • education and other social sectors
  • disparities between Indian States in human development

• Poverty

  2 topics

  • Methodology of poverty estimation
  • Issues in poverty estimation in India

• India’s labour market

  2 topics

  • unemployment
  • labour force participation rates

Showing 19 of 20 topics in this subject.Show all 20 topics →

• Preliminaries and functions

  4 of 11 topics

  • Set theory and number theory
  • elementary functions: quadratic, polynomial, power, exponential, logarithmic
  • functions of several variables
  • graphs and level curves

• Differential calculus

  4 of 10 topics

  • Limits
  • continuity and differentiability
  • mean value theorems
  • Taylor’s theorem

• Integral calculus

  3 topics

  • Definite integrals
  • fundamental theorems
  • indefinite integrals and applications

• Differential equations, and difference equations

  2 topics

  • First order difference equations
  • first order differential equations and applications

• Linear algebra

  4 of 6 topics

  • Matrix representations and elementary operations
  • systems of linear equations: properties of their solution
  • linear independence and dependence, rank, determinants
  • eigenvectors and eigenvalues of square matrices

• Optimization

  4 of 9 topics

  • Local and global optima: geometric and calculus-based characterisations, and applications
  • multivariate optimization
  • constrained optimization and method of Lagrange multiplier
  • second order condition of optima

Showing 21 of 41 topics in this subject.Show all 41 topics →

• The Planet Earth

  4 of 8 topics

  • Origin of the Solar System and the Earth
  • Internal structure, composition, and age of the Earth
  • Pressure-temperature-density variations within the Earth
  • Principles of radiometric dating (Rb-Sr, Sm-Nd, 14C)

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• Geomorphology

  4 of 5 topics

  • Weathering, erosion, deposition
  • Endogenous and exogenous processes of landform development
  • Soil formation
  • River and drainage basin/drainage pattern, network characteristics

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• Structural Geology

  4 of 8 topics

  • Concept of dip, strike, rake and plunge
  • Contour lines
  • Rule of ‘V’s and outcrop patterns
  • Interpretation of geological maps

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• Paleontology

  4 of 6 topics

  • Major stages in the evolution of life forms
  • Fossils and their mode of preservation
  • Application of macrofossils in age determination and paleoenvironmental interpretations
  • Morphology, major evolutionary trends and ages of important groups of invertebrates – Brachiopoda, Mollusca, Trilobita, Echinodermata

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• Stratigraphy

  4 of 7 topics

  • Principles of stratigraphy
  • Litho-, chrono- and bio-stratigraphic classification
  • Stratigraphic correlation techniques
  • Archaean cratons of Peninsular India (Dharwar, Singhbhum and Aravalli)

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• Mineralogy

  4 of 6 topics

  • Symmetry and forms in common crystal classes
  • Miller indices
  • Twinning and twinning laws
  • Isomorphism, polymorphism, solid solution and exsolution

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• Petrology

  14 topics

  • Igneous rocks – classification and texture
  • Forms of igneous bodies
  • Evolution and diversification of magma
  • Use of binary systems to understand melting and crystallization behaviour of rocks and magmas
  • Genesis of common igneous rocks and associations
  • Sedimentary rocks – classification, texture, and structure
  • Petrology of sandstone and limestone
  • Basics of sedimentary environments and facies
  • Metamorphic rocks – classification and texture
  • Types of metamorphism
  • Controls on metamorphism – pressure, temperature and fluids
  • Concept of projections – ACF, AKF and AFM diagrams
  • Phase Rule and its applications
  • Concepts of zones and facies, Characteristic mineral assemblages of pelites in the Barrovian zones and mafic rocks in common facies

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• Economic Geology

  4 of 5 topics

  • Physical properties of common economic minerals
  • Processes of formations of ore mineral deposits-magmatic concentration, hydrothermal processes, oxidation and supergene sulphide enrichment, residual and mechanical concentration
  • Mode of occurrence and distribution of metallic and non-metallic mineral deposits in India
  • Ore grade and reserve estimation

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• Applied Geology

  4 of 6 topics

  • Basics of groundwater geology
  • Types of aquifers, porosity and permeability
  • Groundwater flow
  • Principles of engineering geology

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• Sequences and Series of Real Numbers

  4 of 11 topics

  • convergence of sequences
  • bounded and monotone sequences
  • Cauchy sequences
  • Bolzano-Weierstrass theorem

• Functions of One Real Variable

  4 of 12 topics

  • limit
  • continuity
  • intermediate value property
  • differentiation

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• Functions of Two or Three Real Variables

  4 of 5 topics

  • limit
  • continuity
  • partial derivatives
  • total derivative

• Integral Calculus

  4 topics

  • double and triple integrals
  • change of order of integration
  • calculating surface areas and volumes using double integrals
  • calculating volumes using triple integrals

• Differential Equations

  4 of 9 topics

  • Bernoulli’s equation
  • exact differential equations
  • integrating factors
  • orthogonal trajectories

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• Basic algebra

  2 topics

  • Permutations and Combinations
  • Binomial Theorem

• Matrices

  4 of 8 topics

  • systems of linear equations
  • rank
  • nullity
  • rank-nullity theorem

• Finite Dimensional Vector Spaces

  4 of 8 topics

  • linear independence of vectors
  • basis
  • dimension
  • linear transformations

• Groups

  4 of 8 topics

  • cyclic groups
  • abelian groups
  • non-abelian groups
  • permutation groups

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• Sequences and Series of real numbers

  4 of 13 topics

  • Sequences of real numbers, their convergence, and limits
  • Cauchy sequences and their convergence
  • Monotonic sequences and their limits
  • Limits of standard sequences

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• Differential Calculus of one variable

  4 of 9 topics

  • Limits of functions of one real variable
  • Continuity and differentiability of functions of one real variable
  • Properties of continuous and differentiable functions of one real variable
  • Rolle’s theorem and Lagrange’s mean value theorems

• Differential calculus of two variables

  4 of 8 topics

  • Limits of functions of two real variables
  • Continuity and differentiability of functions of two real variables
  • Properties of continuous and differentiable functions of two real variables
  • Partial differentiation and total differentiation

• Integral Calculus

  4 of 10 topics

  • Fundamental theorems of integral calculus (single integral)
  • Lebnitz’s rule and its applications
  • Differentiation under integral sign
  • Improper integrals

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• Matrices and Determinants

  4 of 23 topics

  • Rn and Cn as vector spaces over real field
  • Span of a set
  • Linear dependence and independence
  • Dimension and basis

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• Descriptive Statistics

  4 of 7 topics

  • Concepts of sample and population
  • Different types of data
  • Tabular and graphical representation of data
  • Measures of central tendency (arithmetic mean, geometric mean, harmonic mean, median, mode)

• Probability

  4 of 10 topics

  • Random Experiments
  • Sample Space and Algebra of Events (Event space)
  • Relative frequency and Axiomatic definitions of probability
  • Properties of probability function

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• Univariate Distributions

  4 of 10 topics

  • Definition of random variables
  • Cumulative distribution function (c.d.f.) of a random variable
  • Discrete and Continuous random variables
  • Probability mass function (p.m.f.) and Probability density function (p.d.f.) of a random variable

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• Multivariate Distributions

  4 of 13 topics

  • Definition of random vectors
  • Joint and marginal c.d.f.s of a random vector
  • Discrete and continuous type random vectors
  • Joint and marginal p.m.f., joint and marginal p.d.f

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• Limit Theorems

  2 topics

  • Convergence in probability, convergence in mean square, almost sure convergence, convergence in distribution, and their inter-relations
  • Weak law of large numbers, Strong law of large numbers, and Central Limit Theorem (i.i.d. and finite variance case)

• Sampling Distributions

  4 of 8 topics

  • Definitions of random sample, parameter and statistic
  • Sampling distribution of a statistic
  • Order Statistics: Definition and distribution of the rth order statistic (d.f. and p.d.f. for i.i.d. case for continuous distributions)
  • Distribution (c.d.f., p.m.f., p.d.f.) of smallest and largest order statistics (i.i.d. case for discrete as well as continuous distributions)

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• Estimation

  4 of 12 topics

  • Unbiasedness
  • Sufficiency of a statistic
  • Factorization theorem
  • Complete statistic

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• Testing of Hypotheses

  4 of 7 topics

  • Null and alternative hypotheses (simple and composite), Type-I and Type-II errors
  • Critical region
  • Level of significance, size and power of a test, p-value
  • Most powerful critical regions and most powerful (MP) tests

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• Nonparametric Methods

  4 of 5 topics

  • Tests of randomness based on total number of runs
  • Empirical distribution function
  • Kolmogorov-Smirnov one sample test
  • One and two sample sign tests

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• Stochastic Processes

  2 topics

  • Discrete time Markov chain: transition probability matrix, higher order transition probabilities, Markov chain as a graph, Chapman-Kolmogorov equation, classification of states and chains, stability of Markov chain (stationary and limiting distributions)
  • Poisson process and its properties, interarrival and waiting times

• Mathematical Methods

  3 topics

  • 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, Complex numbers, Error analysis of Experimental Data: Significant digits and rounding of numbers, Types of errors, mean, median, standard deviation

• Mechanics and General Properties of Matter

  4 of 5 topics

  • 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

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• Oscillations, Waves and Optics

  4 of 17 topics

  • Differential equation for simple harmonic oscillator and its general solution
  • Superposition of two or more simple harmonic oscillators
  • Lissajous figures
  • Damped and forced oscillations, resonance

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• Electricity and Magnetism

  4 of 7 topics

  • Coulomb’s law, Electric field and potential, Gauss’s law, Electrostatic boundary conditions, Solution of Laplace’s equation for simple cases – upto two dimensions Conductors, capacitors, Linear dielectrics, dielectric polarization, volume and surface bound 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

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• Kinetic Theory, Thermodynamics

  4 of 16 topics

  • 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

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• Modern Physics

  4 of 12 topics

  • Inertial frames and Galilean invariance
  • Postulates of special relativity
  • Lorentz transformations
  • Length contraction, time dilation

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• Solid State Physics, Devices and Electronics

  4 of 16 topics

  • Crystal structure, Bravais lattices and basis
  • Miller indices
  • X-ray diffraction and Bragg’s law
  • Intrinsic and extrinsic semiconductors, variation of resistivity with temperature

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