# Scientific Computing using Matlab

- Institution: IIT Delhi Delhi Technological University
- Department: Mathematics
- Teacher: Prof. Mani Mehra Prof. Vivek K. Aggarwal
- Level: Undergraduate
- Language: English
- Subjects: Mathematics
- Source: [NPTEL](https://nptel.ac.in/courses/111102137)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/111102137)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

## Lectures

1. [Introduction to Matlab](https://invisiblenetwork.ai/learn/nptel/111102137/398378f6430a) (Video)
2. [Plotting of Functions in Matlab](https://invisiblenetwork.ai/learn/nptel/111102137/1776a49ce4d6) (Video)
3. [Symbolic Computation in Matlab](https://invisiblenetwork.ai/learn/nptel/111102137/f495833d5d6c) (Video)
4. [Functions definition in Matlab](https://invisiblenetwork.ai/learn/nptel/111102137/182305730779) (Video)
5. [In continuation of basics of Matlab](https://invisiblenetwork.ai/learn/nptel/111102137/f84f81236690) (Video)
6. [In continuation of basics of Matlab (contd...)](https://invisiblenetwork.ai/learn/nptel/111102137/2136bba8fa0c) (Video)
7. [Floating point representation of a number](https://invisiblenetwork.ai/learn/nptel/111102137/57e01d9753fb) (Video)
8. [Errors arithmetic](https://invisiblenetwork.ai/learn/nptel/111102137/be4e37360d6b) (Video)
9. [Iterative method for solving nonlinear equations](https://invisiblenetwork.ai/learn/nptel/111102137/e5ddc5bd48fa) (Video)
10. [Bisection method for solving nonlinear equations](https://invisiblenetwork.ai/learn/nptel/111102137/b3d2ca2f25ec) (Video)
11. [Order of Convergence of an Iterative Method](https://invisiblenetwork.ai/learn/nptel/111102137/1a8e724f3aa6) (Video)
12. [Regula-Falsi and Secant Method for Solving Nonlinear Equations](https://invisiblenetwork.ai/learn/nptel/111102137/d768db7e163e) (Video)
13. [Raphson method for solving nonlinear equations](https://invisiblenetwork.ai/learn/nptel/111102137/0c7b43d27246) (Video)
14. [Newton-Raphson Method for Solving Nonlinear System of Equations](https://invisiblenetwork.ai/learn/nptel/111102137/f75d1f5c3a27) (Video)
15. [Matlab Code for Fixed Point Iteration Method](https://invisiblenetwork.ai/learn/nptel/111102137/1153afc1bf1c) (Video)
16. [Matlab Code for Newton-Raphson and Regula-Falsi Method](https://invisiblenetwork.ai/learn/nptel/111102137/8faa63753912) (Video)
17. [Matlab Code for Newton Method for Solving System of Equations](https://invisiblenetwork.ai/learn/nptel/111102137/b9d9fab19747) (Video)
18. [Linear System of Equations](https://invisiblenetwork.ai/learn/nptel/111102137/ef741fe32e3a) (Video)
19. [Linear System of Equations (contd.)](https://invisiblenetwork.ai/learn/nptel/111102137/5b5196d9c668) (Video)
20. [Gauss Elimination Method for solving Linear System of Equation](https://invisiblenetwork.ai/learn/nptel/111102137/8d5a64c17b91) (Video)
21. [Matlab Code for Gauss Elimination Method](https://invisiblenetwork.ai/learn/nptel/111102137/44365834b277) (Video)
22. [LU Decomposition Method for Solving Linear System of Equations](https://invisiblenetwork.ai/learn/nptel/111102137/fde8955a6daa) (Video)
23. [LU Decomposition Method for Solving Linear System of Equations (contd.)](https://invisiblenetwork.ai/learn/nptel/111102137/807828a26ee4) (Video)
24. [Iterative Method for Solving Linear System of Equations](https://invisiblenetwork.ai/learn/nptel/111102137/67303e99f332) (Video)
25. [Iterative Method for Solving Linear System of Equations (contd.)](https://invisiblenetwork.ai/learn/nptel/111102137/5327be498627) (Video)
26. [Matlab Code for Gauss Jacobi Method](https://invisiblenetwork.ai/learn/nptel/111102137/e8c4ff494e90) (Video)
27. [Matlab Code for Gauss Seidel Method](https://invisiblenetwork.ai/learn/nptel/111102137/6821dbd95eda) (Video)
28. [Matlab Code for Gauss Seidel Method](https://invisiblenetwork.ai/learn/nptel/111102137/c0c4c3effa01) (Video)
29. [Power Method for Solving Eigenvalues of a Matrix](https://invisiblenetwork.ai/learn/nptel/111102137/704a37a41a3a) (Video)
30. [Power Method for Solving Eigenvalues of a Matrix (Contd.)](https://invisiblenetwork.ai/learn/nptel/111102137/e03e42f5ee88) (Video)
31. [Gershgorin Circle Theorem for Estimating Eigenvalues of a Matrix](https://invisiblenetwork.ai/learn/nptel/111102137/eb11ec0d56a6) (Video)
32. [Gershgorin Circle Theorem for Estimating Eigenvalues of a Matrix](https://invisiblenetwork.ai/learn/nptel/111102137/66f7eff8a441) (Video)
33. [Matlab Code for Power Method/ Shifted Inverse Power Method](https://invisiblenetwork.ai/learn/nptel/111102137/0866d4b53fd6) (Video)
34. [Interpolation](https://invisiblenetwork.ai/learn/nptel/111102137/c7fd104f1e48) (Video)
35. [Interpolation (Contd.)](https://invisiblenetwork.ai/learn/nptel/111102137/56ee68085f34) (Video)
36. [Interpolation (Contd.)](https://invisiblenetwork.ai/learn/nptel/111102137/e053a9c40027) (Video)
37. [Interpolating Polynomial Using Newton's Forward Difference Formula](https://invisiblenetwork.ai/learn/nptel/111102137/e0e189fc61f0) (Video)
38. [Error Estimates in Polynomial Approximation](https://invisiblenetwork.ai/learn/nptel/111102137/d03e82ca3f63) (Video)
39. [Interpolating Polynomial Using Newton's Backward Difference Formula](https://invisiblenetwork.ai/learn/nptel/111102137/935adfc88e3c) (Video)
40. [Stirling's Formula and Lagrange's Interpolating Polynomial](https://invisiblenetwork.ai/learn/nptel/111102137/46ca6ae12428) (Video)
41. [In Continuation of Lagrange's Interpolating Formula](https://invisiblenetwork.ai/learn/nptel/111102137/8d9a2cce981a) (Video)
42. [Interpolating Polynomial Using Newton's Divided Difference Formula](https://invisiblenetwork.ai/learn/nptel/111102137/1331d08b9350) (Video)
43. [Examples Based on Lagrange's and Newton's Divided Difference Interpolation](https://invisiblenetwork.ai/learn/nptel/111102137/c3d358efc530) (Video)
44. [Spline Interpolation](https://invisiblenetwork.ai/learn/nptel/111102137/551b09214cc7) (Video)
45. [Cubic Spline](https://invisiblenetwork.ai/learn/nptel/111102137/b50402b0e131) (Video)
46. [Cubic Spline (contd.)](https://invisiblenetwork.ai/learn/nptel/111102137/45cc1b0d284d) (Video)
47. [Curve Fitting](https://invisiblenetwork.ai/learn/nptel/111102137/cbda8355645b) (Video)
48. [Quadratic Polynomial Fitting and Code for Lagrange's Interpolating Polynomial using Octave](https://invisiblenetwork.ai/learn/nptel/111102137/6e50ba487e4e) (Video)
49. [Matlab Code for Newton's Divided Difference and Least Square Approximation](https://invisiblenetwork.ai/learn/nptel/111102137/58368a52790f) (Video)
50. [Matlab Code for Cubic Spline](https://invisiblenetwork.ai/learn/nptel/111102137/b8a80bac2f15) (Video)
51. [Numerical Differentiation](https://invisiblenetwork.ai/learn/nptel/111102137/ca49da61ea36) (Video)
52. [Various Numerical Differentiation Formulas](https://invisiblenetwork.ai/learn/nptel/111102137/d9f08373047a) (Video)
53. [Higher Order Accurate Numerical Differentiation Formula For First Order Derivative](https://invisiblenetwork.ai/learn/nptel/111102137/fd7682130c4e) (Video)
54. [Higher Order Accurate Numerical Differentiation Formula For Second Order Derivative](https://invisiblenetwork.ai/learn/nptel/111102137/addef10fde4d) (Video)
55. [Numerical Integration](https://invisiblenetwork.ai/learn/nptel/111102137/d051de20f820) (Video)
56. [Trapezoidal Rule for Numerical Integration](https://invisiblenetwork.ai/learn/nptel/111102137/0b74049359df) (Video)
57. [Simpson's 1/3 rule for Numerical Integration](https://invisiblenetwork.ai/learn/nptel/111102137/99cc40e6fa81) (Video)
58. [Simpson's 3/8 Rule for Numerical Integration](https://invisiblenetwork.ai/learn/nptel/111102137/ac68e698f70c) (Video)
59. [Method of Undetermined Coefficients](https://invisiblenetwork.ai/learn/nptel/111102137/af6defdd4708) (Video)
60. [Octave Code for Trapezoidal and Simpson's Rule](https://invisiblenetwork.ai/learn/nptel/111102137/d3664911fa23) (Video)
61. [Taylor Series Method for Ordinary Differential Equations](https://invisiblenetwork.ai/learn/nptel/111102137/7125c2a621f6) (Video)
62. [Linear Multistep Method (LMM) for Ordinary Differential Equations](https://invisiblenetwork.ai/learn/nptel/111102137/d3637ff2bd63) (Video)
63. [Convergence and Zero Stability for LMM](https://invisiblenetwork.ai/learn/nptel/111102137/ef5225f6473b) (Video)
64. [Matlab/Octave Code for Initial Value Problems](https://invisiblenetwork.ai/learn/nptel/111102137/44fd0bf88b76) (Video)
65. [Advantage of Implicit and Explicit Methods Over Each other via Matlab/Octave Codes for Initial value Problem](https://invisiblenetwork.ai/learn/nptel/111102137/40eb0e7f2f5b) (Video)