# Numerical methods and programing

- Institution: IIT Madras
- Department: Basic courses-Sem 1 and 2
- Teacher: Prof. P. B. Sunil Kumar
- Level: Undergraduate
- Language: English
- Source: [NPTEL](https://nptel.ac.in/courses/122106033)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/122106033)
- Who can watch: Teens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

## Lectures

1. [Programing Basics](https://invisiblenetwork.ai/learn/nptel/122106033/4b338952c92d) (Video)
2. [Introduction to Pointers](https://invisiblenetwork.ai/learn/nptel/122106033/6144ca22b4eb) (Video)
3. [Pointers And Arrays](https://invisiblenetwork.ai/learn/nptel/122106033/62532e409e7d) (Video)
4. [External Functions and Argument Passing](https://invisiblenetwork.ai/learn/nptel/122106033/b70a6a184187) (Video)
5. [Representation of Numbers](https://invisiblenetwork.ai/learn/nptel/122106033/bafa01e9cb2d) (Video)
6. [Numerical Error](https://invisiblenetwork.ai/learn/nptel/122106033/f6d06006c1ba) (Video)
7. [Error Propagation and Stability](https://invisiblenetwork.ai/learn/nptel/122106033/8dc7155ac2c1) (Video)
8. [Polynomial Interpolation-1](https://invisiblenetwork.ai/learn/nptel/122106033/037aedd14409) (Video)
9. [Polynomial Interpolation-2](https://invisiblenetwork.ai/learn/nptel/122106033/5401b8088ee6) (Video)
10. [Error In Interpolation Polynomial](https://invisiblenetwork.ai/learn/nptel/122106033/dbdc6119b658) (Video)
11. [Polynomial Interpolation](https://invisiblenetwork.ai/learn/nptel/122106033/99533f049d2d) (Video)
12. [Cubic Spline Interpolation](https://invisiblenetwork.ai/learn/nptel/122106033/b2caad506347) (Video)
13. [Data Fitting : Linear Fit](https://invisiblenetwork.ai/learn/nptel/122106033/13b5c38eb6c1) (Video)
14. [Data Fitting : Linear Fit](https://invisiblenetwork.ai/learn/nptel/122106033/96b6148de60e) (Video)
15. [Data Fitting : Non Linear Fit](https://invisiblenetwork.ai/learn/nptel/122106033/7d754da38313) (Video)
16. [Matrix Elimination and Solution](https://invisiblenetwork.ai/learn/nptel/122106033/01c57f2edb41) (Video)
17. [Solution To Linear Equations](https://invisiblenetwork.ai/learn/nptel/122106033/2a0d7fb960db) (Video)
18. [Matrix Elimination](https://invisiblenetwork.ai/learn/nptel/122106033/af769adc43f7) (Video)
19. [Eigen Values of A Matrix](https://invisiblenetwork.ai/learn/nptel/122106033/544ef76f3066) (Video)
20. [Eigen Values And Eigen Vectors](https://invisiblenetwork.ai/learn/nptel/122106033/a0450a086340) (Video)
21. [Solving NonLinear Equations](https://invisiblenetwork.ai/learn/nptel/122106033/396cbd77887a) (Video)
22. [Solving NonLinear Equations Newton Raphson Method](https://invisiblenetwork.ai/learn/nptel/122106033/883a1bab43fe) (Video)
23. [Methods For Solving NonLinear Equations](https://invisiblenetwork.ai/learn/nptel/122106033/74963db65093) (Video)
24. [System of NonLinear Equations](https://invisiblenetwork.ai/learn/nptel/122106033/c4d314e7de99) (Video)
25. [Numerical Derivations](https://invisiblenetwork.ai/learn/nptel/122106033/c795e1b478f2) (Video)
26. [High order Derivatives From Difference Formula](https://invisiblenetwork.ai/learn/nptel/122106033/718e34eddf66) (Video)
27. [Numerical Integration - Basic Rules](https://invisiblenetwork.ai/learn/nptel/122106033/ab5360863488) (Video)
28. [Comparison of Different Basic Rules](https://invisiblenetwork.ai/learn/nptel/122106033/3956e6eba7c4) (Video)
29. [Gaussian Rules](https://invisiblenetwork.ai/learn/nptel/122106033/1be82442e7d5) (Video)
30. [Comparison of Gaussian Rules](https://invisiblenetwork.ai/learn/nptel/122106033/e2bc0dd8af80) (Video)
31. [Solving Ordinary Differential Equations](https://invisiblenetwork.ai/learn/nptel/122106033/d8f3037302d8) (Video)
32. [Solving ordinary differential equations](https://invisiblenetwork.ai/learn/nptel/122106033/f987c93181e8) (Video)
33. [Adaptive step size Runge Kutta scheme](https://invisiblenetwork.ai/learn/nptel/122106033/f7b51b3db7f9) (Video)
34. [Partial Differential Equations](https://invisiblenetwork.ai/learn/nptel/122106033/44346d8c92d4) (Video)
35. [Explicit and Implicit Methods](https://invisiblenetwork.ai/learn/nptel/122106033/baa917f85686) (Video)
36. [The Crank - Nicholson Scheme For Two Spatial](https://invisiblenetwork.ai/learn/nptel/122106033/a3db87a1ae56) (Video)
37. [Fourier Transforms](https://invisiblenetwork.ai/learn/nptel/122106033/6c718e4addcb) (Video)
38. [Fast Fourier Transforms](https://invisiblenetwork.ai/learn/nptel/122106033/db701f48a931) (Video)