Course Details

1	Title of the course (L-T-P-C)	Introduction to Numerical Methods (1st Half) (3-1-0-4)
2	Pre-requisite courses(s)	Calculus, MA101 & Linear Algebra, MA 106
3	Course content	Interpolation by polynomials, divided diﬀerences, error of the interpolating polynomial,piecewise linear and cubic spline interpolation Numerical integration, composite rules, error formulae. Solution of a nonlinear equation, bisection and secant methods. Newton’s method, rate of convergence,solution of a system of nonlinear equations Numerical solution of ordinary diﬀerential equations, Euler and Runge-Kutta methods, multi-step methods, predictor-corrector methods, order of convergence, Finite diﬀerence methods, numerical solutions of elliptic,parabolic, and hyperbolic partial diﬀerential equations. Exposure to MATLAB
4	Texts/References	S. D. Conte and Carl de Boor, Elementary Numerical Analysis- An Algorithmic Approach (3rd Edition), McGraw-Hill, 1980

Academics Course