CMI Entrance Exam Syllabus 2025 will be 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 will be asked in the examination and the depth of covering the CMI Entrance Exam 2025 syllabus will then be based on that. Both the syllabus and exam pattern play a pivotal role in the CMI Entrance Exam 2025 preparation strategy.
The CMI entrance exam 2025 will be held in a pen-paper based test mode for all courses. The question paper for the CMI entrance exam 2025 will be based on the key topics from each subject as mentioned on this page below:
Q: Â When will CMI entrance exam 2025 notification releasing?
Chennai Mathematical Institute is expected to release the CMI Entrance exam notification for the academic session 2025-2026 in the fourth week of February 2025. Candidates who wish to get admission in the BSc, MSc degree programmes offered by the Chennai Mathematical Institute will be able to fill out the application form in the first week of March 2025, tentatively.
The announcement on the official website contains all important information about the exam, including the eligibility criteria, syllabus, exam pattern, exam dates, and application process. The examination will be conducted for eight degree (BSc, MSc, PhD) programmes.
Candidates are advised to keep checking the CMI website regularly for the latest updates on the CMI Entrance Exam 2025.
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Q: Â What are the academic programmes offered by Chennai Mathematical Institute?
Admission through the CMI Entrance Exam will be made to the following programmes in 2024–25.
- 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)
Upvote Q: Â What is the official website for downloading CMI Entrance Exam 2025 syllabus?
Candidates preparing for CMI Entrance exam for the academic session 2025-2026 will be able to download the CMI entarnce exam syllabus 2025 byvisiting the official website of Chennai Mathematical Institute exam 2025.
CMI has not released the CMI entarnce exam 2025 syllabus, therefore aspirants are left with the option of going through the CMI entrance exam 2025 syllabus. It is highly expected that CMI exam syllabus doesn't change year to year, so candidates are suggested to either go to the CMI exam 2024 official website and search for CMI exam syllabus there.
Upvote CMI Entrance Exam 2025 Syllabus for MSc/PhD Computer Science
The key topics for the question paper for MSc/ PhD CS are as under:Â
| 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
Q: Â What is the objective of CMI Entrance Exam?
CMI, or the Chennai Mathematical Institute, conducts entrance exams for various academic programs. The specific objective of the CMI entrance exam may vary depending on the programme for which it is being conducted. However, in general, the primary objective of CMI entrance exams is to select candidates who have the aptitude and potential to excel in mathematics and related fields.
Here are some common objectives of CMI entrance exams:
1. Identify Meritorious Students: CMI entrance exams aim to identify and select students with a strong mathematical aptitude and academic potential. These exams are designed to pick candidates who are well-prepared for rigorous mathematical and scientific study.
2. Admission to Academic Programs: CMI offers undergraduate, postgraduate, and research programs in mathematics, computer science, and other related areas. The entrance exams are conducted to admit students into these programs, and the objective is to admit those who have the skills and interest required to succeed in these fields.
3. Promote Mathematical Excellence: CMI has a reputation for promoting mathematical excellence and research. The entrance exams help in identifying and nurturing talented individuals who can contribute to the advancement of mathematics and related disciplines.
4. Create a Competitive Environment: By conducting entrance exams, CMI creates a competitive environment where students are encouraged to strive for academic excellence. This competition helps in maintaining high standards of education.
In summary, the objective of CMI entrance exams is to select candidates who have the potential to excel in mathematics and related fields, ensuring the continued academic excellence of the institution and promoting mathematical research and education. The specific objectives may vary depending on the level of the programme (undergraduate, postgraduate, or research) and the particular requirements of each program.
Upvote Q: Â What are the shift timings of CMI Entrance Exam 2025?
CMI Entrance Exam 2025 for the academic cycle 2025-2026 will be held in the third week of May 2025, tentatively. As the exam notictaion and schedule is yet to be announced by the exam conducting authority, candidates can expect the CMI Entrance Exam 2025 shift timings to be remained same as of previous year.
| 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 |
Upvote Q: Â What is the marking scheme for Part A in CMI Entrance Exam?
The CMI Entrance Exam 2025 marking scheme for part A is as follows:
- In section A there will be 10 questions asked by the examination conducting body. The questions will be asked in the MCQ format. Four marks will be alloted for every correct answer and 1 marks will be deducted for every wrong answer marked by the tset takers in the examination.
Upvote CMI Entrance Exam 2025 Syllabus for MSc/PhD Mathematics
The question paper will be based on the topics as under:Â
| 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 ExamÂ
Best Books to refer for MSc-PhD MathsÂ
| Subject | Best books |
|---|---|
| Algebra |
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| Complex Analysis |
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| Calculus and Real Analysis |
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| Topology | Topology, James Munkres |
| MSc Applications of Mathematics |
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Q: Â What is the format for Section B in CMI Entrance Exam 2025?
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 will be 6 questions asked by the exam conducting body. The questions will be in the subjective format. Candidates need to exaplain the answers with the logical reasoning. The toatl marks awarded for the 6 questions will be 80 marks.
Upvote Q: Â On what parameters Section B will be evaluated in CMI Entrance Exam?
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.
Upvote Q: Â What is the duration for Section B in CMI Entrance Exam 2025?
CMI Entrance Exam 2025 will be conducted for admsisions to the BSc, MSc and Integrated PhD progarmmes in Mathematics, Data Science and Computer Science courses. In the CMI Entrance Exam 2025 candidates aptitutde and domain knowledge will be evaluated in the form MCQ and Subjective type questions.
Section B of CMI entarnce exam 2025 will have subjection type of questions where candidates need to answer the questions with all the logical reasoning. Candidates are exempted to have 2 hours of duration to answer the Section B.
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