Numerical Methods (MA2208)

Materials of this course can be viewed only by Mahindra University community.

Faculty Details

• Biswarup Biswas (Instructor and Coordinator)
• Satyanarayana Chirala (Instructor)
• Sanjukta Das
• Nayana Mukherjee
• Rakesh Kumar

Cource information

• Syllabus
• Evaluation plan
• Topics

Upload links

• Assignment 1 (MATLAB Onraramp certificate) Link expired
• Assignment 2 (see Problem sheet 1) Link expired
• Assignment 3 (see Problem sheet 2) Link expired
• Assignment 4 (see Problem sheet 3) Link expired

Lectures

• lecture 1 (Computer arithmetic: floating point system) dated 20-01-25
• lecture 2 (Unit Roundoff and Insights into IEEE 754 Standard) dated 21-01-25
• lecture 3 (Start of root finding methods) dated 23-01-25
• lecture 4 (Bisection method (continued), Secant method) dated 27-01-25
• lecture 5 (Convergence analysis of secant method, regula-falsi method) dated 28-01-25
• lecture 6 (Newton-Raphson Method) dated 30-01-2025
• lecture 7 (Fixed-point iteration method) dated 03-02-2025, 04-02-2025
• lecture 8 (Modified Newton’s method) dated 06-02-2025
• practice problems (problems on root finding)
• lecture 9 (Newton’s method for system) dated 10-02-2025
• Appendix (Some definitions on Matrices)
• lecture 10 (Gaussian Elimination method) dated 11-02-2025
• lecture 11 (Operation count of Gaussian Elimination method) dated 13-02-2025
• lecture 12 (Pivoting) dated 17-02-2025
• lecture 13 (LU factorisation) dated 18-02-2025
• lecture 14 (Cholesky Factorisation) dated 03-02-1-2025
• lecture 15 (Norms) dated 04-02-2025
• lecture 16 (Sensitivity of linear system and condition number) dated 06-02-2025
• lecture 17 (Gauss-Jacobi and Gauss-Seidel method) dated 10-02-2025
• lecture 18 (Convergence of iterative methods) dated 11-02-2025
• lecture 19 (SOR method) dated 13-02-2025
• practice problems (problems on solving system of linear equations)
• lecture 20 (Power method) dated 17-03-2025
• lecture 21 (Inverse power method) dated 18-03-2025
• practice problems (problems on Power and Inverse Power method)
• lecture 22 (Least Square Method) dated 20-03-2025
• lecture 23 (Problems on Least Square Method) dated 01-04-2025
• lecture 24 (Lagrange Interpolation) dated 03-04-2025
• lecture 25 (Newton Divided Difference Interpolation) dated 07-04-2025
• lecture 26 (Error term in polynomial interpolation) dated 08-04-2025
• lecture 27 (Numerical Integration: Rectangle rule, Mid-point rule) dated 22-04-2025
• lecture 28 (Trapezoidal rule) dated 23-04-2025
• lecture 29 (Simpson’s 1/3rd rule) dated 25-04-2025
• lecture 30 (Method of undetermined coefficient) dated 28-04-2025

Problem sheets

• Problem sheet 1
• Problem sheet 2
• Problem sheet 3
• Problem sheet 4
• Problem sheet 5
• Problem sheet 6

Additional problem sheets (No submissions required)

• Root finding
• Direct methods for linear system
• Iterative methods for linear system

MATLAB Codes

• Codes