Syllabus:
Approximation in numerical computation: Truncation and rounding errors, Fixed and floating-point arithmetic,
Propagation of errors.
Interpolation: Newton forward/backward interpolation, Lagrange’s and Newton’s divided difference Interpolation.
Numerical integration: Trapezoidal rule, Simpson’s 1/3 rule, Expression for corresponding error terms.
Numerical solution of a system of linear equations:
Gauss elimination method, Matrix inversion, LU Factorization method, Gauss-Seidel iterative method.
Numerical solution of Algebraic equation:
Bisection method, Regula-Falsi method, Newton-Raphson method.
Numerical solution of ordinary differential equation: Euler’s method, Runge-Kutta methods, Predictor-Corrector methods and Finite Difference method.