CMI Entrance Exam Syllabus 2025 had been shared for each subject by the exam conducting institute on their official website for the academic session 2025-2026. The syllabus provides a common platform for assessing candidates' knowledge and abilities, ensuring fairness and transparency in the admission process.
Candidates should also check the CMI Entrance Exam exam pattern 2025 to know the structure and types of questions that were asked in the examination and the depth of covering the CMI Entrance Exam 2025 syllabus was based on that. Both syllabus and exam pattern play a pivotal role in the CMI Entrance Exam 2025 preparation strategy.
The CMI entrance exam 2025 was held in a pen-paper based test mode for all courses on May 24, 2025. The question paper for the CMI entrance exam 2025 was based on the key topics from each subject as mentioned on this page below:
NOTE: Students with exceptionally good performance in the National Olympiads in Mathematics, Physics and Informatics are exempted from writing the BSc entrance examination.
Latest Updates:
Candidates preparing for CMI Entrance exam were able to download the CMI entarnce exam syllabus 2025 by visiting the official website of Chennai Mathematical Institute exam 2025.
Admission through the CMI Entrance Exam will be made to the following programmes in 2026-27.
- BSc (Hons.) in Mathematics and Computer Science
- BSc (Hons.) in Mathematics and Physics
- MSc in Mathematics.
- MSc in Computer Science.
- MSc in Data Science.
- PhD in Mathematics.
- PhD in Computer Science.
- PhD in Physics (For PhD in Physics, candidates should write the Joint Entrance Screening Test)
Chennai Mathematical Institute released CMI Entrance exam notification for the academic session 2025-2026 on January 26, 2025.
- CMI Entrance Exam 2025 Syllabus for MSc/PhD Computer Science
- CMI Entrance Exam 2025 Syllabus for MSc/PhD Mathematics
CMI Entrance Exam 2025 Syllabus for MSc/PhD Computer Science
The key topics for the question paper for MSc/ PhD CS are as under:
| Syllabus | Important topics |
|---|---|
| Discrete Mathematics Elementary probability theory |
Sets and relations, elementary counting techniques, pigeon hole principle, partial orders, |
| Logic |
Boolean logic, truth tables, boolean circuits — and, or, not, and, nand gates. |
| Automata Theory | Regular expressions, non-deterministic and deterministic finite automata, subset construction, regular languages, non-regularity (pumping lemma), context-free grammars, basic ideas about computable and no computable functions. |
| Algorithms | O notation, recurrence relations, the time complexity of algorithms, sorting and searching (bubble sort, quick sort, merge sort, heap sort) |
| Data structures | Lists, queues, stacks, binary search trees, heaps |
| Graphs | Basic definitions, trees, bipartite graphs, matchings in bipartite graphs, breadth-first search, depth-first search, minimum spanning trees, shortest paths |
| Algorithmic techniques | Dynamic programming, divide and conquer, greedy |
Best Books to refer to for MSc-PhD Computer Sciences
- Frank Harary: Graph Theory, Narosa
- John Hopcroft and Jeffrey D Ullman: Introduction to Automata, Languages and Computation, Narosa.
- Jon Kleinberg and Eva Tardos: Algorithm Design, Pearson.
- C. Liu: Elements of Discrete Mathematics, Tata McGraw-Hill
Commonly asked questions
Section A - 10 questions
Format: MCQ (Multiple Choice Questions)
4 marks - correct answer
-1 mark - Wrong Answer
Here are some common objectives of CMI entrance exams:
1. Identify Meritorious Students
2. Admission to Academic Programs
3. Promote Mathematical Excellence
4. Create a Competitive Environment
CMI Entrance Exam 2025 for the academic cycle 2025-2026 was held in the third week of May 2025.
| Courses | Exam Timings |
| BSc/ MSc Data Science | 2:00 pm to 5:30 pm |
| MSc/ PhD Mathematics | 2:00 pm to 5:00 pm |
| MSc/ PhD Computer Science | 2:00 pm to 5:00 pm |
CMI Entrance Exam 2025 Syllabus for MSc/PhD Mathematics
The question paper will be based on the topics as under:
| Subject | Topics |
|---|---|
| Algebra Part A | Groups, homomorphism’s, cosets, Lagrange’s Theorem, group actions, Sylow Theorems, symmetric group Sn, conjugacy class, rings, ideals, quotient by ideals, maximal and prime ideals, fields, algebraic extensions, finite fields |
| Algebra Part B | Matrices, determinants, vector spaces, linear transformations, span, linear independence, basis, dimension, the rank of a matrix, characteristic polynomial, eigenvalues, eigenvectors, upper triangulation, diagonalization, nilpotent matrices, scalar (dot) products, angle, rotations, orthogonal matrices, GLn, SLn, On, SO2, SO3. |
| Complex Analysis | Holomorphic functions, Cauchy-Riemann equations, integration, zeroes of analytic functions, Cauchy formulas, maximum modulus theorem, open mapping theorem, Liouville's theorem, poles and singularities, residues and contour integration, conformal maps, Rouche’s theorem, Morera’s theorem |
| Calculus and Real Analysis | (a) Real Line: Limits, continuity, differentiability, Reimann integration, sequences, series, limsup, liminf, pointwise and uniform convergence, uniform continuity, Taylor expansions, (b) Multivariable: Limits, continuity, partial derivatives, chain rule, directional derivatives, total derivative, Jacobian, gradient, line integrals, surface integrals, vector fields, curl, divergence, Stoke’s theorem (c) General: Metric spaces, Heine Borel theorem, Cauchy sequences, completeness, Weierstrass approximation. |
| Topology | Topological spaces, base of open sets, product topology, accumulation points, boundary, continuity, connectedness, path connectedness, compactness, Hausdorff spaces, normal spaces, Urysohn’s lemma, Tietze extension, Tychonoff’s theorem. |
| MSc Applications of Mathematics | The entrance test for MSc Applications of Mathematics will consist of Class XII / BSc level questions on the following topics:
|
Also Read: Previous Years Papers for CMI Entrance Exam
Best Books to refer for MSc-PhD Maths
| Subject | Best books |
|---|---|
| Algebra |
|
| Complex Analysis |
|
| Calculus and Real Analysis |
|
| Topology | Topology, James Munkres |
| MSc Applications of Mathematics |
|
Read More:
Commonly asked questions
CMI Entrance Exam 2025 was conducted for admsisions to the BSc, MSc and Integrated PhD progarmmes in Mathematics, Data Science and Computer Science courses.
Section B of CMI entarnce exam 2025 had subjection type of questions where candidates need to answer the questions with all the logical reasoning.
Candidates preparing for CMI Entrance Exam 2025, must be aware that in order to get admissions in the Chennai Matgematical Institute one need to score good in the Section A of CMI Entrance Examination.
The Section A is considered to be quligying based as one need to score atleast 24 marks in the Section A of the CMI Entarnce Examination 2025. Section A will have 10 MCQ questions of 40 marks. In order to get their Section B evaluated in the CMI Entrance Exam, candidates need to score a minimum of 24 marks in the Section A.
For all the courses available at Chennai Mathematical Institute, before appearing in the examination candidates need to check the below mentioned exam pattern for Section B:
- In section B, there was 6 questions asked by the exam conducting body. The questions was in the subjective format. Candidates need to exaplain the answers with the logical reasoning. The total marks awarded for the 6 questions was 80 marks.
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