IIT JAM Master of Computer Applications (MCA) Eligibility

IITR: Bachelor’s degree with Mathematics as a subject for at least one year for annual system candidates/ at least two papers of Mathematics for semester system candidates.

IIT JAM Computer Applications Syllabus

Exam Pattern: Fully Objective type paper

Subject Weightage: Mathematics (60% weightage), Computer Awareness (30% weightage), Analytical Ability and General Awareness (15% weightage)

Marking Scheme: negative marking (one third).

Mathematics Syllabus:

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 equations. Eigenvalues and Eigenvectors. 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. Applications to evaluation of area, surface and volume.

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

Vector Algebra: Addition, subtraction, dot product, cross product, triple product and their applications.

Numerical Analysis: Solution of non-linear equations using iterative methods. Interpolation (Lagrange’s formula and Newton’s formula 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.

Compter Awareness Syllabus:

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