# Mathematical Methods in Engineering and Science

- Institution: IIT Kanpur
- Department: Mechanical Engineering
- Teacher: Prof. Bhaskar Dasgupta
- Level: Undergraduate
- Language: English
- Subjects: Engineering
- Source: [NPTEL](https://nptel.ac.in/courses/112104035)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/112104035)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

## Lectures

1. [Introduction](https://invisiblenetwork.ai/learn/nptel/112104035/d2a14d3f0c08) (Video)
2. [Basic Ideas of Applied Linear Algebra](https://invisiblenetwork.ai/learn/nptel/112104035/8671c852c59d) (Video)
3. [Systems of Linear Equations](https://invisiblenetwork.ai/learn/nptel/112104035/edcac2062843) (Video)
4. [Square Non-Singular Systems](https://invisiblenetwork.ai/learn/nptel/112104035/244fa17103ac) (Video)
5. [Ill-Conditioned and Ill-Posed Systems](https://invisiblenetwork.ai/learn/nptel/112104035/ad32d76bc87d) (Video)
6. [The Algebraic Eigenvalue Problem](https://invisiblenetwork.ai/learn/nptel/112104035/52b6ac8a65a3) (Video)
7. [Canonical Forms, Symmetric Matrices](https://invisiblenetwork.ai/learn/nptel/112104035/9bd561d0d36a) (Video)
8. [Methods of Plane Rotations](https://invisiblenetwork.ai/learn/nptel/112104035/ccbb83c30a7e) (Video)
9. [Householder Method, Tridiagonal Matrices](https://invisiblenetwork.ai/learn/nptel/112104035/bf5825dde017) (Video)
10. [QR Decomposition, General Matrices](https://invisiblenetwork.ai/learn/nptel/112104035/0b2db0499340) (Video)
11. [Singular Value Decomposition](https://invisiblenetwork.ai/learn/nptel/112104035/cb786a70e1b4) (Video)
12. [Vector Space: Concepts](https://invisiblenetwork.ai/learn/nptel/112104035/890470484c86) (Video)
13. [Multivariate Calculus](https://invisiblenetwork.ai/learn/nptel/112104035/53e5d466a074) (Video)
14. [Vector Calculus in Geometry](https://invisiblenetwork.ai/learn/nptel/112104035/d788c2ea9c62) (Video)
15. [Vector Calculus in Physics](https://invisiblenetwork.ai/learn/nptel/112104035/556693f2bf63) (Video)
16. [Solution of Equations](https://invisiblenetwork.ai/learn/nptel/112104035/0a4b3d03f872) (Video)
17. [Introdcution to Optimization](https://invisiblenetwork.ai/learn/nptel/112104035/9cbbb08f796a) (Video)
18. [Multivariate Optimization](https://invisiblenetwork.ai/learn/nptel/112104035/b3b3032a7057) (Video)
19. [Constrained Optimization: Optimality Criteria](https://invisiblenetwork.ai/learn/nptel/112104035/1c27690aa025) (Video)
20. [Constrained Optimization: Further Issues](https://invisiblenetwork.ai/learn/nptel/112104035/dc4fe4170395) (Video)
21. [Interpolation](https://invisiblenetwork.ai/learn/nptel/112104035/fe8ab358b533) (Video)
22. [Numerical Integration](https://invisiblenetwork.ai/learn/nptel/112104035/5e4a28fdd1ab) (Video)
23. [Numerical Solution of ODE's as IVP](https://invisiblenetwork.ai/learn/nptel/112104035/6ccbfdf1d91b) (Video)
24. [Boundary Value Problems, Question of Stability in IVP Solution](https://invisiblenetwork.ai/learn/nptel/112104035/fe15bb3ef10d) (Video)
25. [Stiff Differential Equations, Existence and Uniqueness Theory](https://invisiblenetwork.ai/learn/nptel/112104035/3a53e5f399fa) (Video)
26. [Theory of First Order ODE's](https://invisiblenetwork.ai/learn/nptel/112104035/db4a475c67c9) (Video)
27. [Linear Second Order ODE's](https://invisiblenetwork.ai/learn/nptel/112104035/264674e77a33) (Video)
28. [Methods of Linear ODE's](https://invisiblenetwork.ai/learn/nptel/112104035/fae6eb6964c0) (Video)
29. [ODE Systems](https://invisiblenetwork.ai/learn/nptel/112104035/0711cfae46dc) (Video)
30. [Stability of Dynamic Systems](https://invisiblenetwork.ai/learn/nptel/112104035/37da737f2dc3) (Video)
31. [Series Solutions and Special Functions](https://invisiblenetwork.ai/learn/nptel/112104035/21a1ec696708) (Video)
32. [Sturm-Liouville Theory](https://invisiblenetwork.ai/learn/nptel/112104035/bad20b04e2b5) (Video)
33. [Approximation Theory and Fourier Series](https://invisiblenetwork.ai/learn/nptel/112104035/8b71f66d27c7) (Video)
34. [Fourier Integral to Fourier Transform, Minimax Approximation](https://invisiblenetwork.ai/learn/nptel/112104035/19973c46d207) (Video)
35. [Separation of Variables in PDE's, Hyperbolic Equations](https://invisiblenetwork.ai/learn/nptel/112104035/a9549766eb14) (Video)
36. [Parabolic and Elliptic Equations, Membrane Equation](https://invisiblenetwork.ai/learn/nptel/112104035/46a2f00311c0) (Video)
37. [Analytic Functions](https://invisiblenetwork.ai/learn/nptel/112104035/bd1e04801b2b) (Video)
38. [Integration of Complex Functions](https://invisiblenetwork.ai/learn/nptel/112104035/4aaacf2585f3) (Video)
39. [Singularities and Residues](https://invisiblenetwork.ai/learn/nptel/112104035/4e13f6776c25) (Video)
40. [Calculus of Variations](https://invisiblenetwork.ai/learn/nptel/112104035/a3e6b8a185b0) (Video)