TEST CODE: MMA (Objective type) 2018
SYLLABUS
Analytical Reasoning
Algebra — Arithmetic, geometric and harmonic progression. Continued frac-
tions. Elementary combinatorics: Permutations and combinations, Binomial theo-
rem. Theory of equations. Inequalities. Complex numbers and De Moivre’s theo-
rem. Elementary set theory. Functions and relations. Elementary number theory:
Divisibility, Congruences, Primality. Algebra of matrices. Determinant, rank and
inverse of a matrix. Solutions of linear equations. Eigenvalues and eigenvectors of
matrices. Simple properties of a group.
Coordinate geometry — Straight lines, circles, parabolas, ellipses and hyper-
bolas.
Calculus — Sequences and series: Power series, Taylor and Maclaurin series.
Limits and continuity of functions of one variable. Differentiation and integration of
functions of one variable with applications. Definite integrals. Maxima and minima.
Functions of several variables - limits, continuity, differentiability. Double integrals
and their applications. Ordinary linear differential equations.
Elementary discrete probability theory — Combinatorial probability, Con-
ditional probability, Bayes theorem. Binomial and Poisson distributions.