Chennai Mathematical Institute Entrance Exam Syllabus

I want to take admission in BSc (Honours) Mathematics and Computer Science at Chennai Mathematical Institute. So I have to appear in the Entrance Exam. So will you provide me syllabus of Entrance Exam of Chennai Mathematical Institute for B.SC Program?

As you want to get syllabus of Entrance Exam for admission in BSc (Honours) Mathematics and Computer Science at Chennai Mathematical Institute, so here is the following syllabus:

Entrance Syllabus for BSc (Honours) Mathematics and Computer Science

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,
co-ordinate 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

Here I am attaching question papers of following Exultance Exam for your reference:

BSc (Honours) Mathematics and Computer Science Entarnce Question Paper (Chennai Mathematical Institute)

Contact Details
Chennai Mathematical Institute
H1, SIPCOT IT Park, Siruseri
Kelambakkam 603103
India
Tel : +91-44-6748 0900
Fax : +91-44-2747 0225.

Map

Attached Files Available for Download

BSc (Honours) Mathematics and Computer Science Entarnce Question Paper (Chennai Mathematical Ins.pdf (147.7 KB, 95 views)

Chennai Mathematical Institute M.Sc Maths entrance exam syllabus, I am giving here:

M.Sc Maths entrance exam

The Syllabus
Algebra.
(a) Groups, homomorphisms, cosets, Lagrange's Theorem, Sylow Theorems, symmetric group Sn, conjugacy class, rings, ideals, quotient by ideals, maximal and prime ideals, _elds, algebraic extensions, _nite _elds

(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, rota- tions, orthogonal matrices, GLn, SLn, On, SO2, SO3.

References:
(i) Algebra, M. Artin
(ii) Topics in Algebra, Herstein
(iii) Basic Algebra, Jacobson
(iv) Abstract Algebra, Dummit and Foote

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 sin- gularities, residues and contour integration, conformal maps, Rouche's theorem, Morera's theorem

References:
(i) Functions of one complex variable, John Conway
(ii) Complex Analysis, L V Ahlfors
(iii) Complex Analysis, J Bak and D J Newman

Calculus and Real Analysis.
(a) Real Line: Limits, continuity, di_erentiablity, Reimann integration, sequences, series, lim- sup, 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 _elds, curl, di-
vergence, Stoke's theorem

(c) General: Metric spaces, Heine Borel theorem, Cauchy sequences, completeness, Weierstrass approximation.

References:
(i) Principles of mathematical analysis, Rudin
(ii) Real Analysis, Royden
(iii) Calculus, Apostol

Topology. Topological spaces, base of open sets, product topology, accumulation points, bound- ary, continuity, connectedness, path connectedness, compactness, Hausdor_ spaces, normal spaces,Urysohn's lemma, Tietze extension, Tychono_'s theorem,

References: Topology, James Munkres

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