# JAM 2012 Exam Syllabus - CA (Computer Applications)

## Syllabus: Joint Admission Test For M.Sc. 2012

## 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 ratio 4:2:1.

## 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 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.

## 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.

Courtesy: iitb.ac.in