CMI Syllabus 2027: Subject-wise Topics

CMI Syllabus 2027 varies according to the programme selected by the candidate. The Chennai Mathematical Institute entrance examination primarily tests aptitude and problem-solving ability in Mathematics, Computer Science, Data Science or Physics. For BS (Hons), the entrance test is based mostly on Mathematics up to Class 12, while postgraduate entrance tests cover programme-specific areas such as algebra, real analysis, discrete mathematics, programming, probability and calculus.

Candidates preparing for the upcoming 2027 examination should follow the programme-wise syllabus prescribed by CMI and use previous-year question papers to understand the type and level of questions asked.

CMI Entrance Exam Syllabus Overview

The CMI entrance exam syllabus differs for each programme. The major areas covered in the official syllabus are given below. 

CMI Topic-Wise Syllabus 2027

Each program requires mastery of specific analytical subjects. Review the in-depth subject breakdown below to focus your daily problem-solving practice.

CMI Mathematics Syllabus

The CMI Mathematics Syllabus covers foundational and advanced mathematical theory. The undergraduate test focuses on Class 11 and 12 mathematics, while postgraduate tests require university-level mathematics.

• Algebra: Polynomials, roots, symmetric functions, theory of equations, and inequalities.

• Abstract Algebra (PG): Groups, subgroups, homomorphisms, rings, ideals, and vector spaces.

• Calculus & Analysis: Continuity, differentiability, maxima and minima, definite integrals, Sequences, and Series.

• Geometry & Trigonometry: Coordinate geometry, lines, circles, conics, and trigonometric identities.

• Number Theory & Combinatorics: Prime numbers, divisibility, permutations, combinations, and Pigeonhole Principle.

Computer Science Syllabus

The Computer Science entrance examination tests theoretical foundations and algorithmic thinking.

• Discrete Mathematics: Graph theory, trees, sets, relations, propositional logic, and counting techniques.

• Data Structures & Algorithms: Arrays, stacks, queues, linked lists, sorting, searching, and recursion.

• Formal Languages: Deterministic and non-deterministic finite automata, and regular expressions.

• Foundational Mathematics: Linear algebra, matrices, rank, probability, and basic calculus.

Data Science Syllabus

The Data Science entrance examination tests mathematics, statistics, and basic programming aptitude.

• Basic Mathematics: High school algebra, basic calculus, matrices, and coordinate geometry.

• Probability & Statistics: Random variables, mean, variance, basic distributions, and conditional probability.

• Logic & Computation: Flow of control, loops, recursion, Boolean logic, and pseudocode analysis.

Physics Syllabus

The PhD Physics syllabus tests standard undergraduate and graduate physics topics.

• Classical Mechanics: Lagrangian mechanics, central forces, rigid body dynamics, and small oscillations.

• Electromagnetism: Electrostatics, magnetostatics, Maxwell's equations, and electromagnetic waves.

• Modern Physics: Quantum mechanics, wave-particle duality, thermodynamics, and statistical physics.

How to Prepare CMI Syllabus 2027?

CMI entrance questions focus on aptitude, conceptual understanding and problem-solving ability. Candidates should therefore focus on applying concepts rather than relying only on memorisation.

A practical preparation approach is to:

• Complete all topics mentioned for the selected programme.

• Build strong conceptual understanding of fundamental topics.

• Practise problems regularly.

• Solve previous-year CMI question papers.

• Analyse incorrect answers and revise the related concepts.

• Practise detailed solutions for questions that require step-by-step reasoning.

The CMI Syllabus 2027 is programme-specific and focuses on conceptual understanding, aptitude and problem-solving ability. BS (Hons) candidates need to prepare Mathematics up to Class 12, while postgraduate candidates should follow the specialised syllabus for Mathematics, Computer Science, Data Science or Physics.

Candidates preparing for the 2027 entrance examination should combine the prescribed syllabus with previous-year question papers to understand the topics, question format and expected level of preparation.

Related Resources:

• CMI Exam Date 2027

• PW Olympiad Batches

• PW Olympiad Test Series