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Entrance Examination

The entrance examinations for admission to various courses are aimed at assessing the candidate’s understanding of the concepts rather than capacity for memorization.

Admission to M.Sc. (Maths/Applied Maths/Statistics-OR) is based on a written test followed by an interview. The written test consists of objective type questions only.

A majority of the questions for M.Sc Mathematics / Applied Mathematics will be on the following topics:

  • Sets, sequences, series, limits, continuity, differentia­tion, integration, graphs of functions, coordinate     geometry of two and three dimensions, group theory, vector spaces, matrices, determinants, linear     transformations, rank, nullity, eigen values, system of linear equations, elementary probability, distribution     theory and logical reasoning.

A majority of the questions for M.Sc. Statistics – OR will be on the following topics:

  • Sets, Sequences, Series, Limits, Continuity, Differentia­tion, Integration, Graphs of Functions, Vector        Spaces, Matrices, Determinants, Linear Transformations.
        Elementary Probability - Events, Independent Events, Conditional Events, Bayes’ Theorem, Chebyshev’s     Inequality.
  • Random Variables and their Distributions – Binomial, Poisson, Geometric, Negative Binomial, Uniform,     Normal, Exponential, Gamma, Beta.
  • Estimation – Methods of Moments and ML Estimation, Test for Mean and Variance of the normal distribution,     Contingency Tables, Simple Linear Regression, Linear Programming Problem - Graphical Solution.

The admission will be made separately for M.Sc. Mathematics (including Mathematics and Applied Mathematics) and M.Sc. Statistics‑Operations Research. At the end of the first year, the students of M.Sc. Mathematics will be given the option to choose in either Mathematics or Applied Mathematics.

Change of option between Mathematics and Statistics-OR is not al­lowed.

There will be sepa­rate entrance tests for programmes in Ph.D. Mathematics (including Applied Mathematics) and Statistics‑Operations Research.

Only those who qualify on the basis of their performance in the written examination will be called for interview.

Those candidates who have a UGC-CSIR/NBHM fellowship need not appear for the written exam, but have to appear for the interview. These candidates will be given 40 marks out of 75 for the written exam. A majority of questions in the written test for admission to Ph.D. Course (Mathematics, Applied Mathematics) will be at the level of M.Sc. in the following areas: Real Analysis, Complex Analysis, Algebra, Linear Algebra, Topology, Functional Analysis, Ordinary and Partial differential equations, Calculus of Varia­tions, Classical Mechanics, Numerical Analysis.

For Ph.D. (Statistics - O.R.) the questions will be at the level of M.Sc. in the areas: Probability theory, Statistical Inference, Sampling techniques, Stochastic Processes, Linear Models, Design & Analysis of experiments, Multivariate analysis, Linear Programming.

The questions need not only be of the objective type and may require writing out answers. Credit will be given more to the understanding of concepts rather than to mechanical proofs of the results.