ISI 2024-2025 : Cutoff , Placement , Courses , Fees, Dates . Indian Statistical Institute Kolkata ,Delhi ,Bangalore

ISI Kolkata 2025-2026 : Cutoff , Placement , Courses , Fees, Dates . Indian Statistical Institute Delhi ,Bangalore

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Indian Statistical Institute (ISI) is a higher education and research institute which is recognized as an Institute of National Importance by the 1959 act of the Indian parliament. It grew out of the Statistical Laboratory set up by Prasanta Chandra Mahalanobis in Presidency College, Kolkata. Established in 1931, this unique institution of India is one of the oldest institutions focused on statistics, and its early reputation led it to being adopted as a model for the first US institute of statistics set up at the Research Triangle, North Carolina by Gertrude Mar Cox. Isi admission test will held on 12 May

Primary activities of ISI are research and training of statistics, development of theoretical statistics and its applications in various natural and social sciences. Originally affiliated with the University of Calcutta, the institute was declared an institute of national importance in 1959, through an act of Indian parliament, Indian Statistical Institute act, 1959. ISI functions under the Ministry of Statistics and Programme Implementation (MOSPI) of the government of India.

Key areas of expertise of ISI are statistics, computer science, mathematics, mathematical economics, operations research and information science and it is one of the few research oriented Indian schools offering courses at both the undergraduate and graduate level.

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ISI admission test will be held on 12 May, 2024

EventsDates 2024 (Tentative)
Notification availabilityFebruary/ March 2024
Release of application1st/ 2nd week of March 2024
Last date to apply & pay fee2nd week of April 2024
Availability of admit card4th week of April 2024
ISI Exam12 May 2024
Release of answer keyMay/ June 2024
Submission of objectionsJune 2024
Availability of resultJune/ July 2024
Admission list releasesJuly/ August 2024

ISI Branches

ISI has its headquarters in Baranagar, West Bengal. It has four subsidiary centres focused in academics at Delhi, Bengaluru, Chennai and Tezpur, and a branch at Giridih. In addition, the institute has a network of units of statistical quality control and operations research at Vadodara, Giridih, Hyderabad, Mumbai and Pune engaged in guiding the industries, within and outside India, in developing the most up–to–date quality management systems and solving critical problems of quality, reliability and productivity.

Institute / CenterCityStateFoundedTypeWebsite
ISI KolkataKolkataWest Bengal1931Institute and
ISI DelhiNew
ISI ChennaiChennaiTamil

ISI Admission

The Indian Statistical Institute (ISI) conducts the Indian Statistical Institute Admission Test abbreviated as ISI Admission Test in order to offer students admission in undergraduate and postgraduate courses which are offered at the ISI. Admission to the academic programmes offered at the ISI Kolkata is strictly based on the merits obtained by the candidates which are evaluated from their performance in ISI admission tests and interviews.

The past academic records of the candidate may also be taken into account for the purpose of performance evaluation. In 2022 the ISI admission test is held at 38 Centres across the country. The ISI admission test is a national-level entrance exam and the mode of the exam is offline i.e. pen and paper test. 

ISI Admission Test Exam Highlights

The following table brings the important details of the ISI Admission Test 2024. 

Name of Entrance ExamIndian Statistical Institute (ISI) Admission Test
Conducting BodyISI Calcutta
Exam LevelUndergraduate and Postgraduate
Exam FrequencyOnce a year
Exam ModeOffline (Pen and Paper Test)
Courses Offered Through ISI Admission TestBStat, BMath, MStat, MMath
ISI Admission Test Application FeeMale (General) candidates – INR 1,500 Female (General) candidates – INR 1,000 SC, ST, OBC-NCL, EWS, PwD candidates – INR 750
Exam MediumEnglish
Exam Duration2 Hours
Total Marks100
Number of Exam Cities38
Official Website
Contact Details[email protected]

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ISI Admission Test 2025 Application Form

When seeking admissions at ISI, the very first step is to apply online for registration and appear for the entrance examination. Aspirants need to fill the application form online on the official website. The ISI Admission Test 2025 application form will have to be filled online for the entrance exam for PG course admissions they need to register on the admissions portal. Candidates will also have to upload their photograph, signature and category certificate in the specific resolutions. The application fee has to be paid in Credit/Debit Card and Net Banking modes.

ISI Admission Test 2023

Courses offered through ISI Admission Test

The following courses are offered through the ISI Admission Test.

B StatB Math
M MathM.S (QE)
M.S (QMS)MTech (CS)
M StatM.S (LIS)
MTech (QROR)JRF in Statistics
JRF in MathematicsJRF in Quantitative Economics
JRF in Computer ScienceJRF in Quality, Reliability and Operations Research
JRF in PhysicsJRF in Library and Information Science
JRF in SociologyJRF in Geology
JRF in PsychologyJRF in Agricultural Chemistry and Soil Science
JRF in LinguisticsPG Diploma in Statistical Methods and Analytics
PG Diploma in Computer Applications
Courses offered through ISI Admission Test

Indian Statistical Institute ( ISI ) Number of seats

Indian Statistical Institute ( ISI ) Number of seats

ISI Admission Test 2025 Eligibility Criteria

The eligibility criteria as stated below for each of the academic programmes offered at ISI-Kolkata reflect only the minimum requirements in order to apply for a particular programme. Only satisfying the eligibility conditions does not guarantee admission/selection into the chosen programme. For all the programmes described below, those who have completed or are due to complete their qualifying examinations for which the results are not yet published may also apply for admission.

If selected, the admission of the candidate will be provisional and pending till the announcement of results. In such cases, however, the application of the candidate is also subjected to cancellation if the final examinations are not completed/failed as on or before the due date. 

CoursesEligibilitySelection Process
B Stat(Hons) B Math(Hons)An applicant must have successfully completed +2 with Mathematics and English as subjects.All applicants except the INMO AWARDEES will have to appear for two written tests comprising of questions at the 10+2 level. And then for the interviews.
M StatAn applicant must have a three-year Bachelor’s degree or a BE/B Tech degree with Statistics as a subject, or a B Math degree from ISI, or a Post-Graduate Diploma in Statistical Methods from ISI.The candidates will have to go through the regular admission process with the written test and interview.
M MathAn applicant must have a three year Bachelor’s degree in Mathematics, or a BE/B Tech Degree, with Mathematics as a subject, or a B Stat degree from ISI.The candidates with B Math (Pass) degree from ISI, will have to appear for the written admission tests and subsequent interview.
MS in Quantitative Economics MS (QE)An applicant must have a three-year Bachelor’s degree in Economics/ Mathematics/ Statistics/ Physics, or a B Stat degree from ISI, or a BE/ B Tech degree or any other qualification considered equivalent (such as AMIE).Candidates will have to appear for the written tests and subsequent interview. Academic records may also be taken into consideration.
MS in Quality Management Science MS (QMS)An applicant must have a three-year Bachelor’s degree with Mathematics as a subject or a BE/ BTech degree.Candidates will have to appear for the written tests and subsequent interview. Academic records may also be taken into consideration.
MS in Library and Information Science[MS (LIS)An applicant must have a three-year Bachelor’s degree in any discipline.Candidates will have to appear for the written tests and subsequent interview. Academic records may also be taken into consideration.
PGD in Statistical Methods & AnalyticsAn applicant must have a domicile certificate of North-Eastern states from a recognised authority and has one of the following: a three-year Bachelor’s Degree in any discipline with Mathematics as a subject; OR a BE/B Tech degree or any other qualification considered equivalent (such as AMIE).    Candidates will have to appear for the written tests and subsequent interview. Academic records may also be taken into consideration.
PGD in computer applicationsAn applicant must have a three-year Bachelor’s Degree in any discipline with Mathematics as a subject.Candidates will have to appear for the written tests and subsequent interview. Academic records may also be taken into consideration.

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Indian Statistical Institute UG and PG Admission 2025

ISI offers B.Stat and B. Math programs at undergraduate levels. The duration of these programs is 3 years. At Postgraduate levels ISI, Kolkata offers M.Stat, M. Math, M.Tech and MS courses in multiple specializations. Duration of these programs is 2 years. Interested candidates can check the detailed eligibility and conducted centre in the table given below:

B.Stat (Hons) (3 Years)10+2 years of Higher Secondary Education (or its equivalent) with Mathematics and English as subjects.Kolkata
B.Math (Hons) (3 Years)Bengaluru
M.Stat (2 Years)Three-year Bachelor’s degree or a BE/B Tech degree with Statistics as a subject.
B.Math degree from ISI. Or Post-Graduate Diploma in Statistical Methods and Analytics from ISI.
M.Math (2 Years)Three year Bachelor’s degree in Mathematics.
BE/B Tech Degree with Mathematics as a subject. Or B.Stat degree from ISI.
MS (QE) (2 Years)Bachelor’s degree (of at least 3-year duration) in any discipline.
Passed the 12th standard examination with Mathematics as a subject.
Delhi & Kolkata
MS (QMS) (2 Years)Three-year Bachelor’s degree with Mathematics as a subject.
BE/ B Tech degree in any discipline
Bengaluru – Hyderabad
M.Tech(CS) (2 Years)Master’s degree in Mathematics/ Statistics/ Physics/ Electronic Science/ Computer Science/ Computer Applications/ Information Technology.
BE/ B Tech degree or any other qualification considered equivalent (such as AMIE or, GRAD-IETE or, DOEACC ’B’ Level)
M.Tech (Cryptology and Security) 
M.Tech (Quality, Reliability & Operations Research)Master’s Degree in Statistics with Physics and Chemistry at the (10+2) level.
Master’s Degree in Mathematics with Statistics as a subject at undergraduate or postgraduate level, and Physics and Chemistry at the (10+2) level. or BE/B Tech degree or any other qualification considered equivalent (such as AMIE).

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ISI, Kolkata

ISI Kolkata has a campus consisting of six addresses at 201 through 206 Barrackpore Trunk Road, Bonhooghly (Baranagar). These include a house, which was an erstwhile office of the National Sample Survey Organisation (NSSO) of India. ISI Kolkata campus is eco-friendly, as conceived by Mahalanobis. Hollow bricks that protect from heat and noise were used with minimum use of reinforced concrete, to avoid radiation. There was no use of bitumen-basalt combination at the roads inside ISI campuses. This helps in reduction of radiation and preservation of rain water to maintain equilibrium in ground-water level.

ISI Kolkata Highlights

Established | Type1931 | Public
Approved byAICTE
Accredited byMOSPI
Campus Size30 Acre
Admission CriteriaEntrance Exam and Interview Process
Courses OfferedUG, PG, Research Courses, Diploma Courses
Top RecruitersAIG, American Express, ANZ, Axis Bank, etc.
Facilities AvailableHostel, Auditorium, Computer Lab, Canteen
Official Website 

ISI Kolkata Placements

The institute has a well-established placement cell that ensures that the placement process is conducted smoothly. ISI Kolkata placement cell organises various workshops and seminars to develop the communication skills and overall personality of the students. The cell also arranges mock tests and practice session classes on aptitude, quantitative ability, logical and reasoning to prepare students for the final rounds.

According to the ISI Kolkata placement brochure 2022-23, the highest and average CTC offered to students was Rs. 89 LPA and Rs. 25.5 LPA respectively. The median CTC offered to Indian Statistical Institute Kolkata students was Rs. 20 LPA to 30LPA depending upon courses. Students received job offers from various sectors such as BFSI, Trading, Consulting, Healthcare, Advertisement etc. The highest salary package offered to M.Stats students was Rs. 89 LPA in 2023. 

isi kolkata placement 2024-2025
CoursesMedian SalaryAvg SalaryHighest Salary
Mtech CS22 lpa25.2 lpa89 lpa
M.Stats30 lpa28.7 lpa44 lpa
MS ( QE )26 lpa29 lpa51 lpa
Mtech ( CRS )20 lpa25.3 lpa58.7 lpa
Mtech ( QROR )18 lpa19 lpa34 lpa

ISI Delhi

Indian Statistical Institute, Delhi (ISI Delhi) is an institute of worldwide repute offering 2 postgraduate and 1 doctoral program under different specializations. Since its inception, it is known for its proactive on-campus placement program. Admission to the courses is done through an entrance test conducted at the Insitute level. 

Established in 1974, it enjoys a good reputation for M.Stat., M.Sc. and Certificate. course in Statistics, Statistics, Business Analytics, Six Sigma. Students can do full-time course from the Institute located in Delhi. The Institute provides 2 PG Degree and Certificate courses. It has decades of experience that has been built through its excellent, experienced faculty dedicated to imparting quality skills through a syllabus that is at par with industry trends.

The institute also has well-equipped Library, Boys Hostel, Girls Hostel, Labs. with all modern facilities. This infrastructure is supported with various seminars and workshops that help students learn about new trends and topics as well as interact with experts in respective fields.

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ISI Delhi Placement

The placement cell at Delhi centre enables recruitment opportunities for the students. The placement process starts in the month of August. The Institute also organizes Pre Placement Talks (PPTs) which will be followed by campus recruitment. The students will be shortlisted on the basis of academic as well as personal performance. Some of the past recruiters of the Institute include KPMG, HDFC Bank, Accenture, Cognizant, RBS, Reliance, Deloitte, ICICI Bank, Idea, Goldman Sachs, Mercados, DE Shaw & Co, etc. 

The following graph shows the industry split for 2018-19 session:ISI Delhi 2018-19 Placement Industry-wise

ISI Delhi Facilities

  • Library: There is a collection of 33000 books, 278 journals, 550 electronic journals, 17500 bound volumes in the field of Mathematics, Statistics and Economics. It also subscribes to all major journals in print and electronic form. 
  • Hostels: Hostel accommodation is given on a merit-cum-need basis subject to availability. At the current time, hostel accommodation is available to all admitted students.
  • Stipend: The Institute offers a stipend to all students (currently INR 5000 per month). It is valid initially for the first semester. The amount of stipend for other semesters depends on the academic performance of the student. 

ISI Bangalore

Indian Statistical Institute (ISI) Bangalore, one of the four major centers of the ISI, provides undergraduate and postgraduate courses in Mathematics and Library Science.The institute is ranked 1352 worldwide according to the web rankings published by Webometrics Rankings of World Universities. It is maintained by the Ministry of Statistics and Programme Implementation (MOSPI) of the Government of India.

The Bengaluru centre of ISI started with a Statistical Quality Control and Operations Research (SQC & OR) unit in 1954. The Documentation Research and Training Centre (DRTC) here became operational from 1962 with honorary professor S. R. Ranganathan as the head. Prof. Mahalanobis planned of starting a full-fledged centre of ISI here around the mid-sixties. In 1966, the then Government of Karnataka granted ISI 30 acres of forest land full of eucalyptus trees, next to the upcoming campus of the Bangalore University, located on the Mysore Road on the outskirts of the city

ISI Bangalore Highlights

CoursesUG and PG
AdmissionsISI Admission Test
Mode of RegistrationOnline

ISI Bangalore Placements

Students of ISI Bangalore get opportunities to join research programs in India and abroad, or get placed in attractive positions in the industry or government departments. Most of the students of the Institute get employment offers or admission to some Ph.D. programmes even before they complete the qualifying degree examinations. A prestigious multinational IT consulting and services company has signed an MoU with ISI that gives placement opportunities to successful students.

isi bangalore placement

Research Divisions and Centers

Applied StatisticsApplied Statistics Unit, KOLKATA
Applied Statistics Unit, CHENNAI
Interdisciplinary Statistical Research Unit, KOLKATA
Applied and Official Statistics Unit, TEZPUR
Biological SciencesAgricultural and Ecological Research Unit, KOLKATA
Agricultural and Ecological Research Unit, GIRIDIH
Biological Anthropology Unit, KOLKATA
Human Genetics Unit, KOLKATA
Computer and Communication SciencesAdvanced Computing and Microelectronics Unit, KOLKATA
Computer Vision and Pattern Recognition Unit, KOLKATA
Cryptology and Security Research Unit, KOLKATA
Computer Science Unit, CHENNAI
Electronics and Communication Sciences Unit, KOLKATA
Machine Intelligence Unit, KOLLKATA
Documentation Research and Training Centre, BANGALORE
Systems Science and Informatics Unit, BANGALORE
Physics and Earth SciencesGeological Studies Unit, KOLKATA
Physics and Applied Mathematics Unit, KOLKATA
Theoretical and Applied Sciences Unit, TEZPUR
Theoretical Statistics and MathematicsTheoretical Statistics and Mathematics Unit, KOLKATA
Theoretical Statistics and Mathematics Unit, BANGALORE
Theoretical Statistics and Mathematics Unit, CHENNAI
Theoretical Statistics and Mathematics Unit, DELHI
​Social SciencesEconomic Research Unit, KOLKATA
Economic Analysis Unit, BANGALORE
Economics and Planning Unit, DELHI
Linguistic Research Unit, KOLKATA
Population Studies Unit, KOLKATA
Psychology Research Unit, KOLKATA
Sampling and Official Statistics Unit, KOLKATA
Sociological Research Unit, KOLKATA
Socio-Economic Research Unit, TEZPUR
Sociological Research Unit, GIRIDIH
​Statistical Quality Control and Operations ResearchSQC & OR Unit, KOLKATA SQC & OR Unit, DELHI SQC & OR Unit, BANGALORE SQC & OR Unit, CHENNAI SQC & OR Unit, MUMBAI SQC & OR Unit, PUNE SQC & OR Unit, COIMBATORE SQC & OR Unit, HYDERABAD

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ISI Exam Pattern 2024-2025

The authorities have released the ISI 2023 exam pattern on the official website. Using the exam pattern of ISI 2023, candidates can know the pattern in which the question paper of ISI admission test 2023 will be prepared.

ISI Admission Test 2024 Exam Pattern – Part 1

Type of questionsMCQ or Descriptive
SubjectMathematics of UG level
Total marks30 Marks
Duration2 Hours
Number of questions to attemptIt will be mandatory to attempt all the questions

ISI Admission Test 2024 Exam Pattern – Part 2

Type of questionsMCQ or Descriptive
SectionsQuestions will be from 5 sections:Computer ScienceEngineering MechanicsEngineering DrawingThermodynamicsElectrical & Electronics Engineering & Engineering and Technology

ISI Admission Test 2024 Syllabus

Candidates are advised to carefully go through the ISI 2024 syllabus to ensure that they do not miss out to prepare on any topic. The detailed syllabus will be released by the authorities along with the brochure.

ISI Syllabus 2024 of MMA for M.Tech CS, CrS, QROR

Analytical Reasoning
AlgebraArithmetic, 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 GeometryStraight lines, circles, parabolas, ellipses and hyperbolas
CalculusSequences 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 theoryCombinatorial probability, Conditional probability, Bayes theorem. Binomial and Poisson distributions.

ISI Syllabus 2024 of PCB for M.Tech CS & CrS

Group A
1Analytical Reasoning
2Elementary Euclidean geometry and trigonometry
3Elements of set theory, Functions and relations, Permutations and combinations, Principle of inclusion and exclusion, Pigeon-hole principle
4Theory of equations, Inequalities
5Elementary number theory, divisibility, congruences, primality
6Determinants, matrices, solutions of linear equations, vector spaces, linear independence, dimension, rank and inverse
7Limits, continuity, sequences and series, differentiation and integration with applications, maxima-minima
8Combinatorial probability, Conditional probability, Discrete random variables and expectation, Binomial distribution
Group B Mathematics
1Linear algebravector 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.
2Abstract algebraGroups: 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.
3Calculus and real analysisReal 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.
4Graph TheoryConnectedness, trees, vertex coloring, planar graphs, Eulerian graphs, Hamiltonian graphs, digraphs and tournaments.
5CombinatoricsCounting 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
1Notions of sample space and probability, combinatorial probability, conditional probability, Bayes’ theorem and independence
2Random 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
3Multinomial, bivariate normal and multivariate normal distributions.
4Descriptive statistical measures, product-moment correlation, partial and multiple correlation.
5Regression – simple and multiple.
6Elementary theory and methods of estimation – unbiasedness, minimum variance, sufficiency, maximum likelihood method, method of moments, least squares methods.
7Tests of hypotheses – basic concepts and simple applications of Neyman-Pearson lemma, confidence intervals.
8Tests 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.
9Conventional sampling techniques, ratio and regression methods of estimation.
1Classical mechanicsLagrangian 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
2Electrodynamicselectrostatics, magnetostatics, electromagnetic induction, self and mutual inductance, capacitance, Maxwell’s equation in free space.
3Nonrelativistic quantum mechanicsPlanck’s law, photoelectric effect, Compton effect, wave-particle duality, Heisenberg’s uncertainty principle, Schrodinger equation and applications.
4Thermodynamics and statistical Physicslaws 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.
5Atomic and molecular physicsquantum states of an electron in an atom, Hydrogen atom spectrum, electron spin, spin-orbit coupling, fine structure, Zeeman effect.
6Condensed matter physicscrystal 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
7Basic nuclear physicsnuclear properties, nuclear forces, nuclear structures, nuclear reactions, radioactive nuclear decay
8Electronicssemiconductor physics; diodes – clipping, clamping, rectification; Zener regulated power supply, bipolar junction transistor – CC, CB, and CE configurations; transistor as a switch; amplifiers
9Operational Amplifier and its applicationsinverting & 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.
Computer Science
1Data structuresarray, stack, queue, linked list, binary tree, heap, AVL tree, Btree.
2Discrete Mathematicsrecurrence relations, generating functions, graph theory – paths and cycles, connected components, trees, digraphs.
3Programming languagesFundamental concepts – abstract data types, procedure call and parameter passing, dynamic memory allocation, at least one of C, C++, Java and Python.
4Design and analysis of algorithmsAsymptotic notation, searching, sorting, selection, graph traversal, minimum spanning tree.
5Switching Theory and Logic DesignBoolean algebra, minimization of Boolean functions, combinational and sequential circuits – synthesis and design.
6Computer organization and architectureNumber representation, computer arithmetic, memory organization, I/O organization, microprogramming, pipelining, instruction level parallelism.
7Operating systemsMemory management, processor management, critical section problem, deadlocks, device management, file systems
8Formal languages and automata theoryFinite automata and regular expressions, pushdown automata, context-free grammars, Turing machines, elements of undecidability
9Database management systemsRelational model, relational algebra, relational calculus, functional dependency, normalization (up to 3rd normal form).
10Computer networksOSI, 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 & Technology
1At least one of C, C++, Java, Python.
2Gravitation, moments of inertia, particle dynamics, elasticity, friction, strength of materials, surface tension and viscosity.
3Laws of thermodynamics and heat engines.
4Electrostatics, magnetostatics and electromagnetic induction
5Laws of electrical circuits – transient and steady state responses of resistive and reactive circuits.
6D.C. generators, D.C. motors, induction motors, alternators, transformers
7Diode circuits, bipolar junction transistors & FET devices and circuits, oscillator, operational amplifier.
8Boolean algebra, minimization of Boolean functions.
9Combinatorial and sequential circuits – multiplexer, de-multiplexer, encoder, decoder, flip-flops, registers and counters, A/D and D/A converters.

ISI Syllabus 2024 for M.Tech QROR (PQB)

Part 1Statistics (S1)
1Descriptive statistics for univariate, bivariate and multivariate data.
2Standard univariate probability distributions [Binomial, Poisson, Normal] and their fittings, properties of distributions. Sampling distributions.
3Theory of estimation and tests of statistical hypotheses.
4Simple and Multiple linear regression, linear statistical models, ANOVA.
5Principles of experimental designs and basic designs [CRD, RBD & LSD], Full factorial design, Confounding and blocking in 2k factorial designs
6Elements of non-parametric inference.
7Elements of categorical data analysis.
8Sample surveys – simple random sampling with and without replacement, stratified and cluster sampling.
Probability (S2)
1Classical definition of probability and standard results on operations with events, conditional probability and independence.
2Distributions 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.
3Bivariate distributions (with special emphasis on bivariate normal), marginal and conditional distributions, correlation and regression.
4Multivariate distributions, marginal and conditional distributions, regression, independence, partial and multiple correlations.
5Order statistics [including distributions of extreme values and of sample range for uniform and exponential distributions].
6Distributions of functions of random variables.
7Multivariate normal distribution [density, marginal and conditional distributions, regression].
8Weak law of large numbers, central limit theorem.
9Basics of Markov chains and Poisson processes.
Part 2 “ Engineering StreamMathematics (E1)
1Quadratic equations, Roots of polynomial, AP, GP, HP, Divisibility and Prime numbers, Binomial theorem
2Inequalities, permutation and combination, complex numbers and De Moivre’s theorem.
3Elementary set theory, functions and relations, matrices, determinants, solutions of linear equations.
4Trigonometry [multiple and sub-multiple angles, inverse circular functions, identities, solutions of equations, properties of triangles].
5Coordinate geometry (two dimensions) [straight line, circle, parabola, ellipse and hyperbola], plane geometry, Mensuration.
6Sequences, 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
1Forces 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.
2Laws 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
1DC circuits, AC circuits (1-φ), energy and power relationships, transformer, DC and AC machines, concepts of control theory and applications.
2Network analysis, 2 port network, transmission lines, elementary electronics (including amplifiers, oscillators, op-amp circuits), analog and digital electronic circuits, basics of computer architecture.
Engineering Drawing
1Concept 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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