# Elementary Numerical Analysis

- Institution: IIT Bombay
- Department: Mathematics
- Teacher: Prof. Rekha P. Kulkarni
- Level: Undergraduate
- Language: English
- Subjects: Mathematics
- Source: [NPTEL](https://nptel.ac.in/courses/111101003)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/111101003)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

## Lectures

1. [L1- Introduction](https://invisiblenetwork.ai/learn/nptel/111101003/02d805bb4de6) (Video)
2. [L2-Polynomial Approximation](https://invisiblenetwork.ai/learn/nptel/111101003/83b6a5df13bb) (Video)
3. [L3-Interpolating Polynomials](https://invisiblenetwork.ai/learn/nptel/111101003/cd96506dbe32) (Video)
4. [L4-Properties of Divided Difference](https://invisiblenetwork.ai/learn/nptel/111101003/71a3844b8932) (Video)
5. [L5-Error in the Interpolating polynomial](https://invisiblenetwork.ai/learn/nptel/111101003/fa102e3f5135) (Video)
6. [L6-Cubic Hermite Interpolation](https://invisiblenetwork.ai/learn/nptel/111101003/c084dd70ff5f) (Video)
7. [L7-Piecewise Polynomial Approximation](https://invisiblenetwork.ai/learn/nptel/111101003/c1a5cab78640) (Video)
8. [L8-Cubic Spline Interpolation](https://invisiblenetwork.ai/learn/nptel/111101003/c92344d2ee54) (Video)
9. [L9-Tutorial 1](https://invisiblenetwork.ai/learn/nptel/111101003/e7804c6039c6) (Video)
10. [L10-Numerical Integration: Basic Rules](https://invisiblenetwork.ai/learn/nptel/111101003/07295fd1418c) (Video)
11. [L11-Composite Numerical Integration](https://invisiblenetwork.ai/learn/nptel/111101003/de7c798394ec) (Video)
12. [L12-Gauss 2-point Rule: Construction](https://invisiblenetwork.ai/learn/nptel/111101003/3ba8d56597de) (Video)
13. [L13-Gauss 2-point Rule: Error](https://invisiblenetwork.ai/learn/nptel/111101003/1effade5cee6) (Video)
14. [L14-Convergence of Gaussian Integration](https://invisiblenetwork.ai/learn/nptel/111101003/046abe629c42) (Video)
15. [L15-Tutorial 2](https://invisiblenetwork.ai/learn/nptel/111101003/89a63774f156) (Video)
16. [L16-Numerical Differentiation](https://invisiblenetwork.ai/learn/nptel/111101003/7eba02e5b0a7) (Video)
17. [L17-Gauss Elimination](https://invisiblenetwork.ai/learn/nptel/111101003/281d9cb13c48) (Video)
18. [L18-L U decomposition](https://invisiblenetwork.ai/learn/nptel/111101003/0489bf366616) (Video)
19. [L19-Cholesky decomposition](https://invisiblenetwork.ai/learn/nptel/111101003/1248bcb02090) (Video)
20. [L20-Gauss Elimination with partial pivoting](https://invisiblenetwork.ai/learn/nptel/111101003/90914cef8925) (Video)
21. [L21-Vector and Matrix Norms](https://invisiblenetwork.ai/learn/nptel/111101003/85eb57617f94) (Video)
22. [L22-Perturbed Linear Systems](https://invisiblenetwork.ai/learn/nptel/111101003/6e3ba7a9c0ed) (Video)
23. [L23-Ill-conditioned Linear System](https://invisiblenetwork.ai/learn/nptel/111101003/33f53e5e3911) (Video)
24. [L24-Tutorial 3](https://invisiblenetwork.ai/learn/nptel/111101003/da316e535ab0) (Video)
25. [L25-Effect of Small Pivots](https://invisiblenetwork.ai/learn/nptel/111101003/48251b685c80) (Video)
26. [L26-Solution of Non-linear Equations](https://invisiblenetwork.ai/learn/nptel/111101003/01248216f8f9) (Video)
27. [L27-Quadratic Convergence of Newton's Method](https://invisiblenetwork.ai/learn/nptel/111101003/5d3aaa07eeaa) (Video)
28. [L28-Jacobi Method](https://invisiblenetwork.ai/learn/nptel/111101003/529bba8dc0d2) (Video)
29. [L29-Gauss-Seidel Method](https://invisiblenetwork.ai/learn/nptel/111101003/e13a53e6d68e) (Video)
30. [L30-Tutorial 4](https://invisiblenetwork.ai/learn/nptel/111101003/677d751a7acb) (Video)
31. [L31-Initial Value Problem](https://invisiblenetwork.ai/learn/nptel/111101003/4f56d7847d1a) (Video)
32. [L32-Multi-step Methods](https://invisiblenetwork.ai/learn/nptel/111101003/da0b71230416) (Video)
33. [L33-Predictor-Corrector Formulae](https://invisiblenetwork.ai/learn/nptel/111101003/6b786d6e7368) (Video)
34. [L34-Boundary Value Problems](https://invisiblenetwork.ai/learn/nptel/111101003/ec46331c7fb8) (Video)
35. [L35-Eigenvalues and Eigenvectors](https://invisiblenetwork.ai/learn/nptel/111101003/9c15db1e57a7) (Video)
36. [L36-Spectral Theorem](https://invisiblenetwork.ai/learn/nptel/111101003/7ad1b49c7a77) (Video)
37. [L37-Power Method](https://invisiblenetwork.ai/learn/nptel/111101003/d21531d501cf) (Video)
38. [L38-Inverse Power Method](https://invisiblenetwork.ai/learn/nptel/111101003/505bf00d1c09) (Video)
39. [L39-Q R Decomposition](https://invisiblenetwork.ai/learn/nptel/111101003/188bf206cc4c) (Video)
40. [L40-Q R Method](https://invisiblenetwork.ai/learn/nptel/111101003/960115d30c80) (Video)