BS-MS 5th & 7th Semester (August 2025 - December 2025) (MTH 408: Numerical Analysis), IISER Berhampur

Mark Distributions:

Attendance (10%) + Assignments (10%) + Class Test 1 (5%) + Mid Term (30%) + Class Test 2 (5%) + End Term (40%) = 100%

Books:

1. R. L. Burden, D. J. Faires, Numerical Analysis

2. S. Baskar, S. Sivaji Ganesh, Introduction to Numerical Analysis

Syllabus, Notes, Assignments:

1. Round off errors and computer arithmetic

Assignment 1    Solutions

2. Interpolation: Lagrange interpolation, divided differences, Hermite interpolation, spline interpolation

Assignment 2    Solutions Assignment 3

3. Numerical differentiation, Richardson extrapolation

    Assignment 4

4. Numerical Integration: Trapezoidal, Simpson's, Newton-Cotes, Gauss quadrature, Romberg integration, multiple integrals

  Assignment 5

5. Solution of linear algebraic equations: direct methods, Gauss elimination, pivoting, matrix factorizations

  Assignment 6

6. Iterative methods: matrix norms, Jacobi and Gauss-Seidel methods, relaxation methods

  Assignment 7

7. Computation of eigenvalues and eigenvectors: power method, Householder's method, QR algorithm

  Assignment 8

8. Numerical solutions of non-linear algebraic equations: Bisection, Secant, and Newton's method, zeroes of polynomials

  Assignment 9