CMI Entrance Exam 2023 - Chennai Mathematical Institute Entrance Exam : Application Form, Exam Date, Eligibility, Syllabus and Exam Pattern

CMI Entrance Exam 2023 - Chennai Mathematical Institute Entrance Exam acronym as CMI Entrance Exam. The institute conducts the test for providing admission to various undergraduate, postgraduate, and Ph.D. programs. Mathematics, Computer Science, and Physics subjects are the main areas of research at the Chennai Mathematical Institute. For Ph.D. programs, admission is offered based on the Joint Entrance Screening Test (JEST).

CMI Entrance Exam 2023 Important Dates

Date of Notification and Start of Online Registration

• To be notified.

Last Date of Submission of Application Form

• To be notified.

Date of Entrance Exam

• To be notified.

Date of Declaration of Result

• To be notified.

CMI Entrance Exam 2022 was held on-

• 22nd May 2022

CMI Entrance Exam 2023 Eligibility  

Educational Qualification

Aspiring students should have passed the qualifying examination.

CMI Entrance Exam 2023 Syllabus

The entrance exam will consist of questions from the relevant qualifying subjects.

B.Sc (Hons.) Mathematics and Computer Science and B.Sc (Hons.) Mathematics and Physics

• Algebra: Arithmetic and geometric progressions, arithmetic mean, geometric mean, harmonic mean and related inequalities, polynomial equations, roots of polynomials, matrices, determinants, linear equations, solvability of equations, binomial theorem, and multinomial theorem, permutations and combinations, mathematical induction. Prime numbers and divisibility, GCD, LCM, modular arithmetic logarithms, probability.
• Geometry: Vectors, triangles, two-dimensional geometry of Conics - straight lines, parabola, hyperbola, ellipses and circles, tangents, measurement of area and volume, coordinate geometry.
• Trigonometry: addition, subtraction formulas, double-angle formulas.
• Calculus: Limits, continuity, derivatives, integrals, indefinite and definite integrals, maxima and minima of functions in a single variable, series and sequences, convergence criterion. Complex numbers, roots of unity.

M.Sc Computer Science

• Discrete Mathematics: Sets and relations, elementary counting techniques, pigeon hole principle, partial orders,
• Elementary Probability Theory
• Automata Theory: Regular expressions, non-deterministic and deterministic finite automata, subset construction, regular languages, nonregularity (pumping lemma), context-free grammars, basic ideas about computable and noncomputable 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.
• Logic: Boolean logic, truth tables, boolean circuits - and, or, not, and NAND gates.

M.Sc Mathematics

• Algebra:

(a) Groups, homomorphisms, 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

(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, limp, liming, 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, the 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.

M.Sc Data Science

• School Level Mathematics: Arithmetic and geometric progressions; arithmetic, geometric and harmonic mean; polynomials, matrices (basic operations, inverse, transpose), determinants, solving linear equations, prime numbers, and divisibility, GCD, LCM, modular arithmetic, logarithms, basic properties of functions (domain, range, injective, bijective, surjective), elementary calculus (differentiation, maxima-minima, integration, and its applications)
• Discrete Mathematics: Sets and relations, combinations and permutations, elementary counting techniques, pigeonhole principle
• Probability: Theory Elementary probability theory, conditional probability, and Bayes theorem
• Logic: Boolean logic and truth tables
• Programming: Ability to read and interpret algorithms written in simple pseudocode

CMI Entrance Exam 2023 Pattern

• The common CMI 2021 exam pattern is that all the question papers will carry two parts - Part A and Part B.
• The exam will consist of multiple-choice type of questions from the qualifying subjects and relevant general aptitude subjects.
• The exam pattern of CMI 2021 differs as per the courses, therefore, candidates are suggested the CMI exam pattern given in the table below.

CMI Entrance Exam 2023 Dates

The exam will be held in the month of June.

How to apply for CMI Entrance Exam 2023?

Aspiring candidates can apply online by visiting the official website of the institute i.e., https://www.cmi.ac.in/, and following the instructions given there.

CMI Entrance Exam 2023 Fees

The application fee is as follows:

CMI Entrance Exam 2023 Centers

The exam will be conducted at the following test centers.

• Allahabad, Ahmedabad
• Bangalore, Bhubaneswar
• Calicut, Chennai, Chandigarh, Coimbatore
• Delhi
• Goa, Guwahati
• Hyderabad
• Indore, Imphal
• Kanpur, Kolkata
• Mumbai, Madurai
• Nagpur
• Pune, Patna
• Ranchi
• Silchar, Shillong, Srinagar
• Trivandrum

CMI Entrance Exam 2023 Contact Details

Chennai Mathematical Institute
H1, SIPCOT IT Park, Siruseri
Kelambakkam 603103, India
Tel: +91-44-7196 1000, +91-44-2747 0226, 2747 0229.
Admissions Enquiry: [email protected]
Web: https://www.cmi.ac.in/