IIT Roorkee MCA Entrance Exam Syllabus

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

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