ISI 2021 Syllabus (Available) – Check Section & Subject Wise Syllabus Here
Latest Applications Open 2020:
The Indian Statistical Institute (ISI) is developed by Professor Prasanta Chandra Mahalanobis in 1931. It is the worldwide level of the Institute, which is highly growing in our country for candidates to provide them with various courses.
The Indian Statistical Institute (ISI) is providing various undergraduate and postgraduate courses for candidates in which include statistics, science, and technology, etc. There is the best opportunity are provided for candidates to get admission to the Indian Statistical Institute.
In the various campuses, the Indian Statistical Institute is situated for the candidates, and that campuses are Chennai, Tezpur, Delhi, and Bangalore. Through this article, candidates will get complete information on the Indian Statistical Institute Test Syllabus.
Indian Statistical Institute Test Syllabus Courses
 Stat.
 Math.
 Stat.
 Math.
 S.(QE)
 S.(LIS)
 S.(QMS)
 Tech. (CS)
 Tech. (QROR)
 JRF in Statistics
 JRF in Mathematics
 JRF in Quantitative Economics
 JRF in Computer Science
 JRF in Quality, Reliability and Operations Research
 JRF in Physics
 JRF in Library and Information Science
 JRF in Sociology
 JRF in Geology
 JRF in Psychology
 JRF in Agricultural Chemistry and Soil Science
 JRF in Linguistics
 PG Diploma in Statistical Methods and Analytics
 PG Diploma in Computer Applications
Stat.
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Algebra
 Sets
 Operations on sets
 Prime numbers
 Factorization of integers and divisibility
 Rational and irrational numbers
 Permutations and combinations
 Basic probability
 Binomial Theorem
 Logarithms
 Polynomials
 Remainder Theorem
 Theory of quadratic equations and expressions
 Relations between roots and coefficients
 Arithmetic and geometric progressions
 Inequalities involving arithmetic
 Geometric & harmonic means
 Complex numbers
 Matrices and determinants
Geometry
 Plane geometry
 The geometry of 2 dimensions with Cartesian and polar coordinates
 The equation of a line
 The angle between two lines
 Distance from a point to a line
 The concept of a Locus
 Area of a triangle
 Equations of circle
 Parabola
 Ellipse and hyperbola and equations of their tangents and normal
 Mensuration
Trigonometry
 Measures of angles
 Trigonometric and inverse trigonometric functions
 Trigonometric identities including addition formulae
 Solutions of trigonometric equations
 Properties of triangles
 Heights and distances
Calculus
 Sequences
 Bounded sequences
 Monotone sequences
 Limit of a sequence
 Functions
 Oneone functions
 Onto functions
 Limits and continuity
 Derivatives and methods of differentiation
 The slope of a curve
 Tangents and normal
 Maxima and minima
 Using calculus to sketch graphs of functions
 Methods of integration
 Definite and indefinite integrals
 Evaluation of area using integrals
M.S. (QE)
Syllabus for PEA (Mathematics)
Algebra
 Binomial Theorem
 AP
 GP
 Series
 Permutations and Combinations
 Theory of Polynomial Equations
Linear Algebra
 Vector spaces
 Linear transformations
 Matrix representations and elementary operations
 Systems of linear equations
Calculus
 Functions
 Limits
 Continuity
 Differentiation of functions of one or more variables
 Unconstrained Optimization
 Definite and Indefinite Integrals
 Integration by parts and integration by substitution
 Convexity and quasiconvexity
 Constrained optimization of functions of not more than two variables
 The implicit function theorem
 Homogeneous and homothetic functions.
Elementary Statistics
 Elementary probability theory
 Measures of central tendency
 Dispersion
 Correlation and regression
 Probability distributions
 Standard distributionsBinomial and Normal.
Syllabus for PEB (Economics)
Microeconomics
 Theory of consumer behavior
 Theory of production
 The market structure under perfect competition
 Monopoly
 Price discrimination
 Duopoly with Cournot and Bertrand competition
 Public goods
 Externalities
 General equilibrium
 Welfare economics
Macroeconomics
 National income accounting
 Simple Keynesian Model of income determination and the multiplier
 ISLM Model
 Models of aggregate demand and aggregate supply
 Money
 Banking and inflation
 Phillips Curve
 Elementary openeconomy macroeconomics
 HarrodDomar
 Solow
 Optimal growth models.
M.S. (LIS)
The paper I (Forenoon): Test Code: PLA
There will be 30 objective type questions. These are given to test quantitative skill (at 10 +2 level) and reasoning skills (at the undergraduate level)
Knowledge of mathematics, Ability to read and understand graphs & statistical tables (preferably 10+2 level)
PLA test consists of two parts: Part I: Test of Quantitative Ability and Part II: Test of Reasoning Ability. The candidates are expected to answer all 30 questions.
PaperII (Afternoon): Test Code: PLB
There will be 30 objective type questions. This paper will mostly test language proficiency and aptitude. The broad pattern of the question paper will be as below:
Part A
 Comprehension Ability Test. The candidate is expected to go through the text and understand its content, to answer the objective type questions.
 Test of English Language Proficiency. Questions are given to test the knowledge of antonyms, analogy, synonyms, and elementary English grammar.
Part B
 Test of knowledge of Books, Libraries, Information, and Computers. Basic general knowledge of books, libraries, Information Technology, etc.
M.S. (QMS
Algebra
Binomial Theorem, AP, GP, HP, Exponential and Logarithmic Series, Sequence, Permutations and Combinations, Theory of Equations.
Matrix Algebra
Vectors and Matrices, Matrix Operations, Determinants
Calculus
Functions, Limits, Continuity, Differentiation of functions of one or more variables Unconstrained Optimization, Definite and Indefinite Integrals: Integration by parts, and integration by substitution. Elements of Probability and Probability Distributions
M.Tech.(QROR)
PART I: Statistics/ Mathematics Stream
Statistics (S1)
 Descriptive statistics for univariate, bivariate, and multivariate data.
 Standard univariate probability distributions [Binomial, Poisson, Normal] and their fittings, properties of distributions. Sampling distributions.
 Theory of estimation and tests of statistical hypotheses.
 Simple and Multiple linear regression, linear statistical models, ANOVA.
 Principles of experimental designs and basic designs [CRD, RBD & LSD], Full factorial design, Confounding and blocking in 2k factorial designs
 Elements of nonparametric inference.
 Elements of the categorical data analysis.
 Sample surveys – simple random sampling with and without replacement, stratified, and cluster sampling.
Probability (S2)
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 The classical definition of probability and standard results on operations with events, conditional probability, and independence.
 Distributions of discrete type [Bernoulli, Binomial, Multinomial, Hypergeometric, Poisson, Geometric and Negative Binomial] and continuous type [Uniform, Exponential, Normal, Gamma, Beta] random variables and their moments.
 Bivariate distributions (with special emphasis on bivariate normal), marginal and conditional distributions, correlation and regression.
 Multivariate distributions, marginal and conditional distributions, regression, independence, partial and multiple correlations.
 Order statistics [including distributions of extreme values and of sample range for uniform and exponential distributions].
 Distributions of functions of random variables.
 Multivariate normal distribution [density, marginal and conditional distributions, regression].
 Weak law of large numbers, central limit theorem.
 Basics of Markov chains and Poisson processes. PART II: ENGINEERING STREAM Mathematics (E1)
 Quadratic equations, Roots of polynomial, AP, GP, HP, Divisibility and Prime numbers, Binomial theorem
 Inequalities, permutation and combination, complex numbers, and De Moivre’s theorem.
 Elementary set theory, functions, and relations, matrices, determinants, solutions of linear equations.
 Trigonometry [multiple and submultiple angles, inverse circular functions, identities, solutions of equations, properties of triangles].
 Coordinate geometry (two dimensions) [straight line, circle, parabola, ellipse, and hyperbola], plane geometry, Mensuration.
 Sequences, series, and their convergence and divergence, power series, limit and continuity of functions of one or more variables, differentiation, and its applications, maxima and minima, integration, definite integrals areas using integrals, ordinary and partial differential equations (up to second order) Engineering and Technology (E2) Engineering Mechanics and Thermodynamics
 Forces in plane and space, analysis of trusses, beams, columns, friction, principles of strength of materials, workenergy principle, a moment of inertia, the plane motion of rigid bodies, belt drives, gearing.
 Laws of thermodynamics, internal energy, work and heat changes, reversible changes, adiabatic changes, the heat of formation, combustion, reaction, solution and dilution, entropy, and free energy and maximum work function, reversible cycle and its efficiency, principles of internal combustion engines. Principles of refrigeration. Electrical and Electronics Engineering
 DC circuits, AC circuits (1φ), energy and power relationships, Transformer, DC and AC machines, concepts of control theory, and applications.
 Network analysis, 2 port network, transmission lines, Elementary electronics (including amplifiers, oscillators, and opamp circuits), analog and digital electronic circuits. Engineering Drawing
 The concept of projection, point projection, line projection, plan, elevation, sectional view (1st angle / 3rd angle) of simple mechanical objects, isometric view, dimensioning, A sketch of machine parts. (Use of Set Square, compass and diagonal scale should suffice).
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