**IIT JAM Master of Computer Applications (MCA) Eligibility**

**IITR:** Bachelorâ€™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 (Lagrangeâ€™s formula and Newtonâ€™s formula for equidistant points). Numerical differentiation and integration (Trapezoidal and Simpsonâ€™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.

### Analytical Ability and General Awareness Syllabus:

Simple questions will be asked to test the analytical.

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