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ISI Exam Pattern and Syllabus 2019 - Indian Statistical Institute (ISI), Kolkata has released the exam pattern of ISI admission test 2019. By referring to ISI exam pattern 2019, candidates can know various things about exam like number of questions asked, time duration of exam, sections and marking scheme. Knowing ISI 2019 exam pattern will allow candidates to prepare their strategy accordingly for ISI admission test. Along with the exam pattern, candidates also need to know ISI syllabus 2019 to work out the marking scheme and time management while appearing in the exam. The syllabus of ISI 2019 has also been released by the institute for candidates information and preparation purpose. Candidates can check the article given below to know the syllabus and exam pattern of ISI 2019.Latest: ISI admission list has been announced by the institute- Check Here
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The following M.Tech programmes are offered under ISI Admission Test 2019.
M.Tech Computer Science (CS)
M.Tech in Cryptology and Security (CrS)
M.Tech in Quality, Reliability and Operations Research (QRQR)
ISI Exam Pattern
ISI 2019 exam pattern varies for M.Tech programmes offered.
Download Free Sample Paper for ISI Admission Test
ISI Exam Pattern 2019 for M.Tech Computer Science (CS) & Cryptology and Security (CrS)
The exam will have two parts:
A multiple choice test in Mathematics at undergraduate level
A descriptive test having the following:
Group A: Test for all candidates in Mathematics at the undergraduate level and in logical reasoning.
Group B: Test that will be divided into five sections having equal marks, in Mathematics, Statistics and Physics at the postgraduate level and in Computer Science, Engineering and Technology at the B.Tech level. Candidates need to answer questions from any one of these
ISI Exam Pattern 2019 for M.Tech Quality, Reliability and Operations Research (QRQR)
The exam will be conducted in two sessions (forenoon and afternoon):
Session 1: A multiple-choice test in Mathematics at the undergraduate level will be conducted.Session 2: A descriptive test for two streams (Statistics & Engineering) will be conducted as follows:
Part I (for Statistics Stream): The test will be divided into two sections carrying equal marks, in Statistics and Probability. Candidates will have to answer questions from both the sections.
Part II (for Engineering Stream): The test will be divided into two sections having different marks, in Mathematics and Engineering. The Engineering section will have questions on Thermodynamics, Engineering Mechanics, Electrical and Electronics Engineering and Engineering Drawing. Candidates need to answer questions from both the sections.
Forenoon (10:30 to 12:30)
Afternoon (2 to 4)
Math/ Phys/ Stat/ Engg/ Tech/ Comp Sc
The syllabus of ISI 2019 has been released by the institute for candidates to be able to prepare in a better and informed manner.
Candidates can refer to ISI 2019 syllabus and start with their preparation.
ISI Syllabus 2019 for M.Tech (CS), (CrS) & (QRQR) MMA
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.
Straight lines, circles, parabolas, ellipses and hyperbolas
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.
ISI Syllabus 2019 for M.Tech Computer Science (CS) PCB
Elementary Euclidean geometry and trigonometry
Elements of set theory, Functions and relations, Permutations and combinations, Principle of inclusion and exclusion, Pigeon-hole principle
Theory of equations,Inequalities
Elementary number theory, divisibility, congruences, primality
Determinants, matrices, solutions of linear equations, vector spaces, linear independence, dimension, rank and inverse
Limits, continuity, sequences and series, differentiation and integration with applications, maxima-minima
Combinatorial probability, Conditional probability, Discrete random variables and expectation, Binomial distribution
In addition to the syllabus for Mathematics in Group A, the syllabus includes:
vector spaces and linear transformations, direct sum, matrices and systems of linear equations, characteristic roots and characteristic vectors, Cayley Hamilton theorem, diagonalization and triangular forms, quadratic forms.
Groups: subgroups, products, cosets, Lagranges theorem, group homomorphism, normal subgroups and quotient groups, permutation groups, Sylow theorems. Rings and integral domains: subrings, ring homomorphism, ideals and quotient rings, prime and maximal ideals, products, Chinese remainder theorem, prime and irreducible elements, principal ideal domain, unique factorization domains. Polynomial rings: division algorithm, roots of polynomials. Fields: characteristic of a field, field extensions, finite fields.
Calculus and real analysis
real numbers, limits, continuity, uniform continuity of functions, differentiability of functions of one or more variables and applications, convergence of sequences and series; indefinite integral, fundamental theorem of Calculus, Riemann integration, improper integrals, double and multiple integrals and applications, sequences and series of functions, uniform convergence, solutions of ordinary differential equations.
connectedness, trees, vertex coloring, planar graphs, Eulerian graphs, Hamiltonian graphs, digraphs and tournaments.
counting principles, Ramsey theory, binomial coefficients, recurrence relations, divide-and-conquer recurrences, recurrences involving convolution and their use in counting, Fibonacci numbers, generating functions, solving recurrence relations using generating functions
Notions of sample space and probability, combinatorial probability, conditional probability, Bayes’ theorem and independence
Random variable and expectation, moments, standard univariate discrete and continuous distributions, sampling distribution of statistics based on normal samples, central limit theorem, approximation of binomial to normal, Poisson law
Multinomial, bivariate normal and multivariate normal distributions.
Descriptive statistical measures, product-moment correlation, partial and multiple correlation.
Regression – simple and multiple.
Elementary theory and methods of estimation – unbiasedness, minimum variance, sufficiency, maximum likelihood method, method of moments, least squares methods.
Tests of hypotheses – basic concepts and simple applications of Neyman-Pearson lemma, confidence intervals.
Tests of regression, elements of non-parametric inference, contingency tables and Chi-square, ANOVA, basic designs (CRD/RBD/LSD) and their analyses, elements of factorial designs.
Conventional sampling techniques, ratio and regression methods of estimation.
Lagrangian and Hamiltonian formulation, symmetries and conservation laws, motion in central field of force, planetary motion, simple harmonic motion - damped, undamped and forced, special theory of relativity
electrostatics, magnetostatics, electromagnetic induction, self and mutual inductance, capacitance, Maxwell’s equation in free space.
Nonrelativistic quantum mechanics
Planck’s law, photoelectric effect, Compton effect, wave-particle duality, Heisenberg’s uncertainty principle, Schrodinger equation and applications.
Thermodynamics and statistical Physics
laws of thermodynamics and their consequences, thermodynamic potentials and Maxwell’s relations, chemical potential, phase equilibrium, phase space, microstates and macrostates, partition function, free energy, classical statistics.
Atomic and molecular physics
quantum states of an electron in an atom, Hydrogen atom spectrum, electron spin, spin-orbit coupling, fine structure, Zeeman effect.
Condensed matter physics
crystal classes, 2D and 3D lattice, reciprocal lattice, bonding, diffraction and structure factor, point defects and dislocations, lattice vibration, free electron theory, electron motion in periodic potential, energy bands in metals, insulators and semiconductors
Basic nuclear physics
nuclear properties, nuclear forces, nuclear structures, nuclear reactions, radioactive nuclear decay
semiconductor physics; diodes - clipping, clamping, rectification; Zener regulated power supply, bipolar junction transistor - CC, CB, and CE configurations; transistor as a switch; amplifiers
Operational Amplifier and its applications
inverting & noninverting amplifiers, adder, integrator, differentiator, waveform generator, comparator, Schmidt trigger. Digital integrated circuits – NAND and NOR gates as building blocks, XOR gates, half and full adder.
array, stack, queue, linked list, binary tree, heap, AVL tree, Btree.
recurrence relations, generating functions, graph theory - paths and cycles, connected components, trees, digraphs.
Fundamental concepts - abstract data types, procedure call and parameter passing, dynamic memory allocation, at least one of C, C++, Java and Python.
Design and analysis of algorithms
Asymptotic notation, searching, sorting, selection, graph traversal, minimum spanning tree.
Switching Theory and Logic Design
Boolean algebra, minimization of Boolean functions, combinational and sequential circuits - synthesis and design.
Computer organization and architecture
Number representation, computer arithmetic, memory organization, I/O organization, microprogramming, pipelining, instruction level parallelism.
Memory management, processor management, critical section problem, deadlocks, device management, file systems
Formal languages and automata theory
Finite automata and regular expressions, pushdown automata, context-free grammars, Turing machines, elements of undecidability
Database management systems
Relational model, relational algebra, relational calculus, functional dependency, normalization (up to 3-rd normal form).
OSI, LAN technology - Bus/tree, Ring, Star; MAC protocols; WAN technology - circuit switching, packet switching; data communications - data encoding, routing, flow control, error detection/correction, Inter-networking, TCP/IP networking including IPv4
Engineering and Technology
At least one of C, C++, Java, Python.
Gravitation, moments of inertia, particle dynamics, elasticity, friction, strength of materials, surface tension and viscosity.
Laws of thermodynamics and heat engines.
Electrostatics, magnetostatics and electromagnetic induction
Laws of electrical circuits – transient and steady state responses of resistive and reactive circuits.
D.C. generators, D.C. motors, induction motors, alternators, transformers
Diode circuits, bipolar junction transistors & FET devices and circuits, oscillator, operational amplifier.
Boolean algebra, Minimization of Boolean functions.
Combinatorial and sequential circuits – multiplexer, de-multiplexer, encoder, decoder, flip-flops, registers and counters, A/D and D/A converters.
ISI Syllabus 2019 for M.Tech (CrS) PCB
The syllabus is same as that of M.Tech (CS) apart from the following topics:
Combinatorics - counting principles, Ramsey theory, binomial coefficients, recurrence relations, divide-and-conquer recurrences, recurrences involving convolution and their use in counting, Fibonacci numbers, generating functions, solving recurrence relations using generating functions
Digital Integrated Circuits - NAND and NOR gates as building blocks, XOR gates, half and full adder.
C Programming Language
ISI Syllabus 2019 for M.Tech in Quality, Reliability and Operations Research (QROR)
Part 1: Statistics/ Mathematics stream
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 non-parametric inference.
Elements of categorical data analysis.
Sample surveys – simple random sampling with and without replacement, stratified and cluster sampling.
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 2: Engineering Stream
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 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 and Technology (E2)
Engineering Mechanics and Thermodynamics
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.
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.
Electrical and Electronics Engineering
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, basics of computer architecture.
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).
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See I won't say it as the toughest exam or even a tough exam.. Because with the ongoing increasing competitive world, every entrance exam has high standards and becomes tough due to competition basically. But yes if you stay dedicated and focused well enough, things are doable Ofcourse. I firmly believe that anyone who knows his basics well won’t really have much trouble getting through. The questions on the entrance exam are not easy, but are quite doable. Moreover, contrary to popular belief, the coursework for undergraduate mathematics by any institution is sufficient in terms of mathematical knowledge required. As I said, the questions really test your understanding of the basics, rather than the extent of your knowledge.
I would suggest you to follow 'test of mathematics by 10+2 level' which known as tomato published by isi , you may get the previous years question papers of isi entrance test from that. challenges and thrills of pre college mathematics is also good for practicing problems, follow this two books along with text books.
best of luck.
The syllabus of the undergraduate entrance exam will be based on the curriculum of class 11
. The candidates preparing for postgraduate entrance exam should refer to their syllabus of their qualifying exam, i.e., the subjects they have studied during their graduation. so if you Are undergraduate and opt for PCM/PCB you have to study physics and if you choose computer science as optional your course then you have to study computer science too.
see isi entrance test question is only based on mathematics and some of apptitude question. there is two programs after 10+2 course you may apply for either in b.math or in b.state. if your basic mathematics concept is really clear and really study well in 10+2 course, then you can prepare for it for two months of hardworking. there is a book published by isi which is test of mathematics by 10+2 course, which has previous years entrance questions. you need to fully solve the paper to get the idea for the question difficulty level.
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