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May 4th, 2016, 08:17 AM
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Join Date: Mar 2012
Re: Chennai Mathematical Institute UG

As you want I am here giving you entrance exam syllabus for BSc (Hons) Mathematics and Computer Science UG course of Chennai Mathematical Institute.

Entrance Exam Syllabus for BSc (Hons) 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.

Suggested reading material

1. V. Krishnamoorthy, C.R. Pranesachar, K. N. Ranganathan, B.J.Venkatachala: Challenge and Thrill of Pre-College Mathematics, New Age International Publishers.

2. M.R.Modak, S.A. Katre, V.V. Acharya: An Excursion in Mathematics, Bhaskaracharya Pratishtan (Pune).

3. D. Fomin, S. Genkin, I. Itenberg: Mathematical Circles: Russian experience, Universities Press (Hyderabad) 1998.

4. H.S. Hall, S.R. Knight: Higher Algebra.


Address:

Chennai Mathematical Institute
H1, SIPCOT IT Park, Siruseri, Kelambakkam
Chennai, Tamil Nadu 603103


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