CMI MSC Chennai Mathematical Institute MATHEMATICS [ PACK OF 4 BOOKS ] WITH TOPIC WISE ANALYSIS +20 MODEL SOLVED PAPERS+ PREVIOUS YEAR SOLUTION NOTES BOOKS****SYLLABUS****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