# Advanced Mathematical Methods for Chemistry

- Institution: IIT Kanpur
- Department: Chemistry and Biochemistry
- Teacher: Prof. Madhav Ranganathan
- Level: Undergraduate
- Language: English
- Subjects: Chemistry
- Source: [NPTEL](https://nptel.ac.in/courses/104104086)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/104104086)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

## Lectures

1. [Lecture 1: Vectors, Vector Operations and Linear Independence](https://invisiblenetwork.ai/learn/nptel/104104086/25523c656169) (Video)
2. [Lecture 2: Vector Operations, Generalization of Vectors](https://invisiblenetwork.ai/learn/nptel/104104086/1fd094ee5c8f) (Video)
3. [Lecture 3: Vector Differentiation, Vector Transformations](https://invisiblenetwork.ai/learn/nptel/104104086/8bb247374639) (Video)
4. [Lecture 4: Vector Integration, Line, Surface and Volume Integrals](https://invisiblenetwork.ai/learn/nptel/104104086/2484dc112246) (Video)
5. [Lecture 5: Practice Problems](https://invisiblenetwork.ai/learn/nptel/104104086/1ac84427e122) (Video)
6. [Lecture 6: Matrix as a vector transformation, linear system](https://invisiblenetwork.ai/learn/nptel/104104086/3ca439b58aec) (Video)
7. [Lecture 7: Special Matrices: Symmetric, Orthogonal, Complex](https://invisiblenetwork.ai/learn/nptel/104104086/60d5072df947) (Video)
8. [Lecture 8: Rotational Matrices, Eigenvalues and Eigenvectors](https://invisiblenetwork.ai/learn/nptel/104104086/93646b43b2ce) (Video)
9. [Lecture 9: Determinants, Matrix Inverse](https://invisiblenetwork.ai/learn/nptel/104104086/38e44b994884) (Video)
10. [Lecture 10: Practice Problems](https://invisiblenetwork.ai/learn/nptel/104104086/e86632e6ba24) (Video)
11. [Lecture 11: Step Function, Delta Function](https://invisiblenetwork.ai/learn/nptel/104104086/2e92e1440e84) (Video)
12. [Lecture 12 : Gamma Function, Error Function](https://invisiblenetwork.ai/learn/nptel/104104086/87e898586922) (Video)
13. [Lecture 13: Spherical Polar Coordinates](https://invisiblenetwork.ai/learn/nptel/104104086/fe8c0cb15dbb) (Video)
14. [Lecture 14: Cylindrical Polar Coordinates, Integrals](https://invisiblenetwork.ai/learn/nptel/104104086/4e4bb9e20da0) (Video)
15. [Lecture 15: Recap of Module 3, Practice Problems](https://invisiblenetwork.ai/learn/nptel/104104086/720a25f40377) (Video)
16. [Lecture 16: ODEs and PDEs, First order ODEs, system of 1st order ODEs](https://invisiblenetwork.ai/learn/nptel/104104086/7b67ef51e862) (Video)
17. [Lecture 17: First order ODEs, exact integrals, integrating factors](https://invisiblenetwork.ai/learn/nptel/104104086/59e2479a4784) (Video)
18. [Lecture 18: System of first order ODEs, Linear first order ODEs](https://invisiblenetwork.ai/learn/nptel/104104086/f52c67560b48) (Video)
19. [Lecture 19: General solution of a system of linear first order ODEs with constant coefficients](https://invisiblenetwork.ai/learn/nptel/104104086/b211ccea259d) (Video)
20. [Lecture 20: Recap of Module 4, Practice problems](https://invisiblenetwork.ai/learn/nptel/104104086/8516fee71a1d) (Video)
21. [Lecture 21: Homogeneous 2nd Order ODE, Basis Functions](https://invisiblenetwork.ai/learn/nptel/104104086/c7b936574dda) (Video)
22. [Lecture 22: Nonhomogeneous 2nd Order ODE](https://invisiblenetwork.ai/learn/nptel/104104086/cb0460e8dfcf) (Video)
23. [Lecture 23: Power Series Method of Solving ODEs](https://invisiblenetwork.ai/learn/nptel/104104086/7f2497c93dfb) (Video)
24. [Lecture 24: Frobenius Method / Power Series Method](https://invisiblenetwork.ai/learn/nptel/104104086/17b9338ae6b2) (Video)
25. [Lecture 25: Time-independent Schrodinger Equation for H-atom](https://invisiblenetwork.ai/learn/nptel/104104086/a39abbc9effd) (Video)
26. [Lecture 26: Maxima and Minima, Taylor Series](https://invisiblenetwork.ai/learn/nptel/104104086/356ee1406ff9) (Video)
27. [Lecture 27: Taylor Series for functions of several variables](https://invisiblenetwork.ai/learn/nptel/104104086/827da8ffc6db) (Video)
28. [Lecture 28: Critical Points of Functions](https://invisiblenetwork.ai/learn/nptel/104104086/449c6f3796b7) (Video)
29. [Lecture 29: Lagranges Method of Undetermined Multipliers](https://invisiblenetwork.ai/learn/nptel/104104086/f775d67eea8e) (Video)
30. [Lecture 30: Recap of Module 6, Practice Problems](https://invisiblenetwork.ai/learn/nptel/104104086/e0e9d8208e72) (Video)
31. [Lecture 31: Nonlinear Differential Equations](https://invisiblenetwork.ai/learn/nptel/104104086/01d45f18fa58) (Video)
32. [Lecture 32: Phase Plane of A Pendulum](https://invisiblenetwork.ai/learn/nptel/104104086/26eb79498eb5) (Video)
33. [Lecture 33: Stability of Critical Points](https://invisiblenetwork.ai/learn/nptel/104104086/7a65e47fadd3) (Video)
34. [Lecture 34: Population Dynamics Models](https://invisiblenetwork.ai/learn/nptel/104104086/02e7d74b42eb) (Video)
35. [Lecture 35: Recap of Module 7, Practice Problems](https://invisiblenetwork.ai/learn/nptel/104104086/fbdeddcaa1bb) (Video)
36. [Lecture 36: Fourier Series, Fourier Expansion of Periodic Functions](https://invisiblenetwork.ai/learn/nptel/104104086/625c5862211b) (Video)
37. [Lecture 37 (Part A): Fourier Expansions and Differential Equations](https://invisiblenetwork.ai/learn/nptel/104104086/ce522e131d53) (Video)
38. [Lecture 37 (Part B): Fourier Expansions and Differential Equations](https://invisiblenetwork.ai/learn/nptel/104104086/23605f730d42) (Video)
39. [Lecture 38: Orthogonal Eigenfunctions, Sturm-Liouville Theory](https://invisiblenetwork.ai/learn/nptel/104104086/94b4967d80be) (Video)
40. [Lecture 39: Recap of Module 8, Practice Problems](https://invisiblenetwork.ai/learn/nptel/104104086/41d416ca2cba) (Video)
41. [Lecture 40: Fourier Transforms](https://invisiblenetwork.ai/learn/nptel/104104086/22980aae419e) (Video)
42. [Lecture 41: Properties of Fourier Transforms](https://invisiblenetwork.ai/learn/nptel/104104086/29f54990a3fd) (Video)
43. [Lecture 42: Fourier Transforms and Partial Differential Equations](https://invisiblenetwork.ai/learn/nptel/104104086/d985724287ad) (Video)
44. [Lecture 43: Laplace Transforms](https://invisiblenetwork.ai/learn/nptel/104104086/2dd921645aa9) (Video)
45. [Lecture 44: Recap of Module 9, Practice Problems](https://invisiblenetwork.ai/learn/nptel/104104086/ad43c18caa58) (Video)
46. [Lecture 45: Partial Differential Equations, Boundary Conditions](https://invisiblenetwork.ai/learn/nptel/104104086/637c3bb8ab7e) (Video)
47. [Lecture 46: Separation of Variables](https://invisiblenetwork.ai/learn/nptel/104104086/760483c22e01) (Video)
48. [Lecture 47 (Part A): Two-dimensional Wave Equation, Bessel Functions](https://invisiblenetwork.ai/learn/nptel/104104086/0c895bd5e14f) (Video)
49. [Lecture 47 (Part B): Two-dimensional Wave Equation, Bessel Functions](https://invisiblenetwork.ai/learn/nptel/104104086/379bbe7c6bb7) (Video)
50. [Lecture 48: Recap of Module 10, Practice Problems](https://invisiblenetwork.ai/learn/nptel/104104086/7195d996e847) (Video)
51. [Lecture 49: Discrete and Continuous Random Variables](https://invisiblenetwork.ai/learn/nptel/104104086/b55fb75b2323) (Video)
52. [Lecture 50: Probability Distribution Functions](https://invisiblenetwork.ai/learn/nptel/104104086/0ea26b60d3e4) (Video)
53. [Lecture 51: Poisson Distribution, Gaussain Distribution](https://invisiblenetwork.ai/learn/nptel/104104086/b9419ebd1440) (Video)
54. [Lecture 52: Error Estimates, Least Square Fit, Correlation Functions](https://invisiblenetwork.ai/learn/nptel/104104086/3eb86faf88fa) (Video)
55. [Lecture 53: Recap of Module 11, Practice Problems](https://invisiblenetwork.ai/learn/nptel/104104086/a67943d8f444) (Video)