Chennai Mathematical Institute conducts national level entrance exam for the admittance of eligible candidates to the different courses in the Institute. The aspirants who wish to get into the Institute needs to clear the entrance exam which is conducted once every year.

Structure of Chennai Mathematical Institute M.Sc/PhD Mathematics Entrance Exam

The Exam will be to test the candidates’ aptitude for Mathematics. There will be both multiple choice questions as well as mathematical problems requiring detailed solutions. The questions will be from the sections of algebra, real analysis, complex analysis and calculus.

Syllabus of Chennai Mathematical Institute M.Sc/PhD Mathematics Entrance Exam

Algebra

• Groups
• Homomorphisms
• Cosets
• Lagrange’s Theorem
• Sylow Theorems
• Symmetric group
• Conjugacy class
• Rings
• Maximal and prime ideals
• Ideals
• Quotient by ideals
• Fields
• Basis
• Upper triangulation
• Determinants
• Algebraic extensions
• Finite fields
• Matrices
• Linear transformations
• Rank of a matrix
• Linear independence
• Vector spaces
• Dimension
• Span
• Scalar (dot) products
• Characteristic polynomial
• Eigen values
• Diagonalization
• Eigen vectors
• Nilpotent matrices
• Angle
• Rotations
• Orthogonal matrices

Complex Analysis

• Maximum modulus theorem
• Poles and singularities
• Holomorphic functions
• Cauchy-Riemann equations
• Integration
• Cauchy formulas
• Zeroes of analytic functions
• Open mapping theorem
• Louville’s theorem
• Residues and contour integration
• Rouche’s theorem
• Morera’s theorem
• Conformal maps

Calculus and Real Analysis

• Real Line
• Limits & continuity
• Differentiability
• Reimann integration
• Sequences
• Series
• Point wise and uniform convergence
• Uniform continuity
• Taylor expansions
• Gradient
• Metric spaces
• Multivariable
• Total derivative
• Partial derivatives
• Vector fields
• Chain rule
• Directional derivatives
• Jacobian
• Surface integrals
• Curl
• Divergence
• Stoke’s theorem
• Line integrals
• Heine Borel theorem
• Cauchy sequences
• Completeness
• Weierstrass approximation

Topology

• Base of open sets
• Accumulation points
• Topological spaces
• Continuity
• Path connectedness
• Product topology
• Compactness
• Hausdor spaces
• Boundary
• Normal spaces
• Urysohn’s lemma
• Connectedness
• Tietze extension
• Tychono’s theorem

Eligibility Criteria

The candidates those who have successfully completed their M.Sc, B.Tech, MCA or B.E from a recognized University are eligible to apply for the M.Sc / Ph.D entrance exam. Those in the final year of qualifying examination may also apply provided they have to satisfy all the norms at the time of admission.

How to Apply?

The aspirants can obtain the application form along with the information bulletin of the entrance exam from various concerned counters of the Institute. It can also be downloaded from the official website of the Institute http://www.cmi.ac.in. The completed application form along with the required documents have to be sent to the Chennai Mathematical Institute, Plot H1, SIPCOT IT Park, Padur P.O, Siruseri - 603103, India on or before the cut off date.

How to fill the Form?

The candidates have to be very careful while filling in the form. All the columns have to be filled up giving the exact information. Tick mark has to be provided against the M.Sc / Ph.D course that one wishes to pursue. Full name and address have to be given in the place provided. Stick a recent color photograph in the space granted for the same. After filling the entire form, the candidates have to recheck whether the details furnished are correct and also whether any column is left blank. If so make necessary changes. After which the completed form along with all the required enclosures have to be sent to the concerned address. The candidates should also make it sure that the send item will reach the destination before the deadline.

Important Dates (Tentative)

[Please note that we only provide tentative dates based on previous years dates. For exact dates related information it is always best to check official websites only.]

Commencement of sale of applications: First week of March, 2012

Date of entrance exam: Last week of May, 2012

List of Chennai Mathematical Institute M.Sc/PhD Mathematics Entrance Exam Centres

• Madurai
• Kolkata
• Srinagar
• Shillong
• Trivandrum
• Mumbai
• Patna
• Calicut
• Bhubaneshwar
• Ranchi
• Pune
• Guwahati
• Delhi
• Chennai
• Allahabad
• Bangalore
• Imphal
• Ahmedabad
• Hyderabad

Contact Address for Chennai Mathematical Institute M.Sc/PhD Mathematics Entrance Exam

• Address: Chennai Mathematical Institute, Plot H1, SIPCOT IT Park, Padur PO, Siruseri 603 103, India
• Phone: (044) 2747 0226-0229, (044) 3298 3441 / 3442
• Fax: (044) 2747 0225
• E-mail: [email protected]
• Website: http://www.cmi.ac.in

Colleges Accepting the Chennai Mathematical Institute M.Sc/PhD Mathematics Entrance Exam Score

Chennai Mathematical Institute

Reference Books for Chennai Mathematical Institute M.Sc/PhD Mathematics Entrance Exam

• Algebra by M. Artin
• Topics in Algebra by Herstein
• An Excursion in Mathematics by M.R. Modak, S.A. Katre, V.V. Acharya
• Basic Algebra by Jacobson
• Abstract Algebra by Dummit and Foote
• Mathematics: A Conceptual Approach by Albert Bennett, Laurie Burton and Ted Nelson
• Mathematics All Around by Thomas L. Pirno
• Basic Mathematics by Serge A. Lang
• Calculus by Mark Ryan
• Calculus by Ron Larson and Bruce H. Edwards
• Mathematics by M.L.Khanna
• Functions of one complex variable by John Conway
• Complex Analysis by L V Ahlfors
• Complex Analysis by J Bak and D J Newman
• Matrices and Linear Transformations by Charles G. Cullen
• Higher Algebra by H.S. Hall, S.R. Knight
• Principles of Mathematical Analysis by Rudin
• Real Analysis by Royden
• Calculus by Apostol
• Topology by James Munkres

Coaching Centers for Chennai Mathematical Institute M.Sc/PhD Mathematics Entrance Exam

• Career Forum
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• Brilliance College
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Study Plan

The entrance exam will be highly competitive. The candidates have to work hard for clearing it. Before starting the preparations, the syllabus of the exam has to be thoroughly analyzed. All the topics in the syllabus have to be studied systematically. The mathematical problems have to be worked out. Various reference books covering the entire syllabus of the exam are available in almost all the prominent book stalls. The same can also be obtained via online. With the help of these, the candidates can prepare for the exam.

How and Where To Get the Results?

The result of Chennai Mathematical Institute M.Sc/PhD Mathematics Entrance Exam can be obtained from the official website http://www.cmi.ac.in.

Score Validity

The score validity  of this Mathematics Entrance Exam will be only for 1 year.