Joint Admission Test to M.Sc. - Indian Institute of Technology (IIT)

MATHEMATICS

Algebra: Set theory and its simple applications. Basic concepts of groups, fields and ector 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)