SYLLABUS FOR MCA

MATHEMATICS

Algebra: Set theory and its simple applications. Basic concepts of groups, fields and vector spaces.

Matrices:  Rank of a matrix. Existence and uniqueness of solution of a system of linear equation. Eigen values and Eigen vectors. Inverse of a matrix by elementary transformations.

Differential Calculus: Differentiation, Partial differentiation, Taylor series and approximate calculations. Maxima and minima of functions of one and two variables.

Integral Calculus:  Single and multiple integration. Definite integrals, Change of order and change of variables. Application to evaluation of area, surface and volume.

Differential Equations: First order differential equations, linear differential equations of higher order with constant coefficients.

Vector Analysis: Vector algebra, Gradient.

Numerical Analysis: Solution of non linear equations using iterative methods. Interpolation (Lagrange’s formula and Newton’s formulae for equidistant points). Numerical differentiation and integration (Trapezoidal and Simpson’s rules).

Probability:  Basic concepts of probability theory. Binomial and Poisson distributions.

Linear Programming:  Formulation and its graphical solution for two variable problems.

COMPUTER AWARENESS

Elements of computers. Number systems. Basic electronic gates. Boolean algebra. Flip-Flops. Algorithmic approach to solve problems. Fundamentals of C language. 

ANALYTICAL ABILITY AND GENERAL AWARENESS 

Simple questions will be asked to test the analytical ability and general awareness of candidates.

NOTE: Weight-ages in the MCA Test Paper for Mathematics, Computer Awareness and Analytical Ability & General Awareness components will be in the ratio 4:2:1