Chennai Mathematical Institute ( CMI ) Ph.D Entrance Examination

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Chennai Mathematical Institute ( CMI ) Ph.D Entrance Examination(CMI)

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Chennai Mathematical Institute ( CMI ) is a centre of excellence for teaching and research in the mathematical sciences. Founded in 1989 as part of the SPIC Science Foundation, it has been an autonomous institute since 1996. The research groups in Mathematics and Computer Science at CMI are among the best known in the country. The Institute has nurtured an impressive collection of PhD students. CMI Had announced the Ph.D Entrance Examination for the Academic year-2018. Applying Candidates have to attend the online test conducted by Institute and shortlisted candidates have called for an Interview. Selection will be based on Merit List. Applications are invited from the eligible candidates.

CMIImportant Dates

Chennai Mathematical Institute ( CMI ) Ph.D Entrance Examination Important Dates-2018: ·         Applications for August, 2018 will open in March, 2018. The exact dates will be announced later. For other details visit, https://www.cmi.ac.in/admissions/brochure/2017/cmi-brochure-2017.pdf

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CMIEligibility Criteria

Chennai Mathematical Institute ( CMI ) Ph.D Entrance Examination Eligibility Criteria-2018: Ph.D. in Mathematics: Students with an M.Sc. degree in Mathematics or equivalent and students with a bachelor's degree in Engineering or Science with a strong aptitude for research. Ph.D. in Computer Science: Students with a B.E., B.Tech., M.Sc., or M.C.A. degree and students with a bachelor's degree in Science with a strong aptitude for research. Ph.D. in Physics: Students with an M.Sc. degree in Physics and students with a bachelor's degree in Physics or Engineering with a strong aptitude for research.  For other details visit, https://www.cmi.ac.in/admissions/brochure/2017/cmi-brochure-2017.pdf

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CMIApplication Procedure

Chennai Mathematical Institute ( CMI ) Ph.D Entrance Examination Application Procedure-2018: For Mathematics, Computer Science and Physics: When admissions are open, you may apply online or request a printed application form, either by post or in person. For all the programmes, applicants will have to take an entrance examination. The entrance examinations for 2018 will take place during May 2018 at centers across the country.  Selection for all Ph.D. programmes will involve an interview at Chennai. For all other programmes, interviews will be at the discretion of the Admissions Committee—the Committee may call shortlisted candidates for an interview depending on their prior academic record. All students receive handsome scholarships that meet all expenses. B.Sc. (Hons.) students receive a scholarship of Rs. 4000 per month, M.Sc. students receive a scholarship of Rs. 6000 per month and Ph.D. scholarships start at Rs. 25000 per month. Students of B.Sc. (Hons.) also receive an additional monthly scholarship…

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CMICourses Offered

Chennai Mathematical Institute ( CMI ) Ph.D Entrance Examination Examination Centers Ph.D. in Mathematics. Ph.D. in Computer Science. Ph.D. in Physics. For other details visit, https://www.cmi.ac.in/admissions/brochure/2017/cmi-brochure-2017.pdf

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CMIExamination Centres

Chennai Mathematical Institute ( CMI ) Ph.D Entrance Examination Test Centers-2018: For Mathematics, Computer Science and Physics: Selection for all PhD programmes will involve an interview at Chennai; Ahmedabad, Allahabad, Bangalore, Bhubaneswar, Calicut, Chennai, Coimbatore, Delhi, Guwahati, Hyderabad, Imphal, Indore, Kolkata, Madurai, Mumbai, Nagpur, Patna, Pune, Ranchi, Shillong, Silchar, Srinagar and Trivandrum. For other details visit, https://www.cmi.ac.in/admissions/brochure/2017/cmi-brochure-2017.pdf

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CMIContact Address

Chennai Mathematical Institute ( CMI ) Ph.D Entrance Examination Contact Address-2018: For Mathematics, Computer Science and Physics: Chennai Mathematical Institute H1, SIPCOT IT Park, Siruseri Kelambakkam 603103 India Telephone: +91-44-6748 0900 Direct inward dialing details: +91-44-2747 0226…, 2747 0229 / +91-44-3298 3441, 3298 3442. Fax: +91-44-2747 0225. General Enquiry: office@cmi.ac.in Website: www.cmi.ac.in

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CMIPhysics Syllabus

Chennai Mathematical Institute ( CMI ) Ph.D Entrance Examination Physics Syllabus -2018 I. Classical Mechanics: Newtonian Mechanics, Variational Principles & Lagrange’s Equations, The Central Force Problem, Kinematics and Dynamics of Rigid Bodies, Small Oscillations, Hamilton’s Equations, Canonical Transformations, Hamilton-Jacobi Theory, Special Relativity. II. Quantum Mechanics: Physical Basis of Quantum Mechanics, Schrodinger Equation, Operators, Eigen functions, Eigen values, Wave packets, One Dimensional Bound State and Scattering Problems, Harmonic Oscillator, Angular Momentum, Hydrogen Atom, Collisions in Three Dimensions, Scattering from Spherically Symmetric Potentials, Matrix Formulation of Quantum Mechanics, Symmetry in Quantum Mechanics, Identical Particles and Spin, Stationary Perturbation Theory (Degenerate and Non degenerate cases), Variational Method, WKB Approximation, Time-dependent Perturbation Theory, Green’s functions, Scattering Matrix, Born Approximation and Partial Wave Analysis. III. Electrodynamics: Electrostatics, Electric Field in Matter, Conductors, Dielectrics, Magneto statics, Magnetic Fields in Matter, Electrodynamics, Maxwell’s Equations, Conservation Laws, Electromagnetic Waves, Potentials and Fields, Radiation, Special Relativity. IV. Statistical Mechanics:…

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CMIMathematics Syllabus

Chennai Mathematical Institute ( CMI ) Ph.D Entrance Examination Mathematics Syllabus -2018 Algebra. (a) Groups, homeomorphisms, 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, 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, Louville’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,…

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CMIComputer Science Syllabus

Chennai Mathematical Institute ( CMI ) Ph.D Entrance Examination Computer Science Syllabus -2018 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, non regularity (pumping lemma), context free grammars, basic ideas about computable and non computable functions. Algorithms O notation, recurrence relations, 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, matching's 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. Fees and Scholarships Research Scholars get a stipend of Rs 25000 per month for the first two years and Rs…

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