ISI Kolkata Entrance Exam Syllabus

Hi I am interested in having the information about the Indian Statistical Institute entrance test as well as the syllabus for the ISI Admission Test 2016 for Group A?

ISI exam 2016 formally known as Indian Statistical Institute entrance test is one of the well known exams among the competitors who wish to take confirmation a few degree programs gave by the ISI organization. Consistently Indian Statistical Institute (ISI) directs this exam.

ISI 2016 Examination Pattern

For Tech (Computer Science): The Group A will contain different decisions, spellbinding inquiries and Group B will comprise inquiries from post graduate and B.tech level, isolated into 5 segments conveying measures up to marks.

Detail and B.Maths: The paper will contain target Type Questions and also subjective sort addresses; the Questions will be asked from Mathematics Subject and would not be taken from different subjects.

Detail: The paper will include different decision or short answer sort inquiries in Mathematics at the undergrad level in the primary area, and various decision inquiries and short answer sort inquiries in Statistics and Mathematics at the undergrad level in the second segment, set to compute candidate's capacity in the hypothesis and strategies for Statistics and information in Mathematics.

Maths: The paper will incorporate numerous decision and short answer sort questions asked from Mathematics at a level proportional to the Mathematics Honors/Major of Indian colleges, with specialization on Real Analysis, Linear, and Abstract Algebra.

The Syllabus for the Group A for ISI Admission Test 2016 for both the M.Tech projects is same while the PART B is distinctive.

ISI Admission Test 2016 Syllabus for Group A:
Analytical Reasoning

Algebra: Arithmetic, geometric and harmonic progression. Continued fractions. Elementary combinatorics- Permutations and combinations, Binomial theorem. Theory of equations. Inequalities. Complex numbers and De Moivre’s theorem. Elementary set theory. Functions and relations. Elementary number theory: Divisibility, Congruences, Primality. Algebra of matrices. Determinant, rank and inverse of a matrix. Solutions of linear equations. Eigenvalues and eigenvectors of matrices. Simple properties of a group.
Coordinate geometry: Straight lines, circles, parabolas, ellipses and hyperbolas.
Calculus: Sequences and series: Power series, Taylor and Maclaurin series. Limits and continuity of functions of one variable. Differentiation and integration of functions of one variable with applications. Definite integrals. Maxima and minima. Functions of several variables : limits, continuity, differentiability. Double integrals and their applications. Ordinary linear differential equations.
Elementary discrete probability theory: Combinatorial probability, Conditional probability, Bayes theorem. Binomial and Poisson distributions.

For M. Tech. in Quality, Reliability and Operations Research:
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]. • Elements of non-parametric inference. • Elements of sequential tests. • Sample surveys – simple random sampling with and without replacement, stratified and cluster sampling.

Probability (S2) • 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) • Elementary theory of equations, 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 sub-multiple 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 Mechanics (E2) • Forces in plane and space, analysis of trusses, beams, columns, friction, principles of strength of materials, work-energy principle, moment of inertia, plane motion of rigid bodies, belt drivers, gearing.
Electrical and Electronics Engineering (E3) • DC circuits, AC circuits (1:φ), 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, op:amp circuits), analog and digital electronic circuits.
Thermodynamics (E4) • Laws of thermodynamics, internal energy, work and heat changes, reversible changes, adiabatic changes, 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.

Engineering Drawing (E5) • Concept of projection, point projection, line projection, plan, elevation, sectional view (1st angle / 3rd angle) of simple mechanical objects, isometric view, dimensioning, sketch of machine parts. (Use of set square, compass and diagonal scale should suffice).

M.Tech in Computer Science: PCB questions section only
Group A: Elements of set theory. Permutations and combinations. Functions and relations. Theory of equations. Inequalities. Limits, continuity, sequences and series, differentiation and integration with applications, maxima-minima. 1 Elementary Euclidean geometry and trigonometry. Elementary number theory, divisibility, congruences, primality. Determinants, matrices, solutions of linear equations, vector spaces, linear independence, dimension, rank and inverse.

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