Syllabus: Joint Admission Test For
Computer Applications (CA)
The Computer Applications (CA) test paper comprises of Mathematics, Computer
awareness, and Analytical ability and General awareness and they will be in the
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
Differential Calculus: Differentiation, Partial differentiation, Taylor series
and approximate calculations. Maxima and minima of functions of one and two
Integral Calculus: Single and multiple integration. Definite integrals, Change
of order and change of variables. Applications to evaluation of area, surface
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
Linear Programming: Formulation and its graphical solution for two variable
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.