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1. Programing Basics
2. Introduction to Pointers
3. Pointers And Arrays
4. External Functions and Argument Passing
5. Representation of Numbers
6. Numerical Error
7. Error Propagation and Stability
8. Polynomial Interpolation I
9. Polynomial Interpolation II
10. Error In Interpolation Polynomial
11. Polynomial Interpolation
12. Cubic Spline Interpolation
13. Data Fitting: Linear Fit I
14. Data Fitting: Linear Fit II
15. Data Fitting: Non-linear Fit
16. Matrix Elimation and Solution
17. Solution To Linear Equations
18. Matrix Elimination
19. Eigen Values of a Matrix
20. Eigen Values And Eigen Vectors
21. Solving Non-linear Equations
22. Solving Non-linear Equations Newton
23. Methods For Solving Non-Linear Equations
24. System of Non-linear Equations
25. Numerical Derivations
26. High-order Derivatives From Difference Formula
27. Numerical Integration: Basic Rules
28. Comparison of Different Basic Rules
29. Gaussian Rules
30. Comparison of Gaussian Rules
31. Solving Ordinary Differential Equations
32. Solving Ordinary Differential Equations
33. Adaptive Step Size Runge Kutta Scheme
34. Partial Differential Equations
35. Explicit and Implicit Methods
36. The Crank: Nicholson Scheme For Two Spatial
37. Fourier Transforms
38. Fast Fourier Transforms

In this course, P. B. Sunil Kumar, Department of Department of Physics, IIT, Madras (NPTEL), gives 38 video lectures on the basic concepts of Numerical Methods and Programing. Some of the topics covered include: Representation of Numbers, Pointers And Arrays, Cubic Spline Interpolation, Matrix Elimation and Solution, Eigen Values And Eigen Vectors, Gaussian Rules, Numerical Derivations, Partial Differential Equations, Fourier Transforms and many more.

The original name for this course is: Core Science - Numerical Methods and Programing.

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