# Mathematics II

- Institution: IIT Roorkee
- Department: Basic courses-Sem 1 and 2
- Taught by: Dr. Tanuja Srivastava, Prof. H.G. Sharma, Dr. Sunita Gakkhar
- Level: Undergraduate
- Language: English
- Subjects: Mathematics
- Source: [NPTEL](https://nptel.ac.in/courses/122107036)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/122107036)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

## Lectures

1. [Complex Integration](https://invisiblenetwork.ai/learn/nptel/122107036/3ba9f1b01e71) (Video)
2. [Contour Integration](https://invisiblenetwork.ai/learn/nptel/122107036/ae10fa223825) (Video)
3. [Cauchy's Integral Theorem](https://invisiblenetwork.ai/learn/nptel/122107036/ceb6d27c1e64) (Video)
4. [Cauchy's Integral Formula](https://invisiblenetwork.ai/learn/nptel/122107036/8b3ff80fd25b) (Video)
5. [Application of Cauchy Integral Formula](https://invisiblenetwork.ai/learn/nptel/122107036/815576009121) (Video)
6. [Zeros, Singularities and Poles](https://invisiblenetwork.ai/learn/nptel/122107036/d28c9b399c43) (Video)
7. [Residue Integration Method](https://invisiblenetwork.ai/learn/nptel/122107036/33d8c02e28ad) (Video)
8. [Residue Theorem](https://invisiblenetwork.ai/learn/nptel/122107036/cc88e12b9a59) (Video)
9. [Evaluation of Real Integrals](https://invisiblenetwork.ai/learn/nptel/122107036/1c4b2f4af572) (Video)
10. [Evaluation of Real Improper Integrals-1](https://invisiblenetwork.ai/learn/nptel/122107036/3cd0873a7581) (Video)
11. [Evaluation of Real Improper Integrals-2](https://invisiblenetwork.ai/learn/nptel/122107036/a78f2b6ddb3c) (Video)
12. [Evaluation of Real Improper Integrals-3](https://invisiblenetwork.ai/learn/nptel/122107036/b59a5eca9af7) (Video)
13. [Evaluation of Real Improper Integrals-4](https://invisiblenetwork.ai/learn/nptel/122107036/fc2508eef2bd) (Video)
14. [Evaluation of Real Integrals-Revision](https://invisiblenetwork.ai/learn/nptel/122107036/94edd1c963f0) (Video)
15. [Matrix Algebra Part - 1](https://invisiblenetwork.ai/learn/nptel/122107036/ae87894a4acb) (Video)
16. [Matrix Algebra Part - 2](https://invisiblenetwork.ai/learn/nptel/122107036/c6b03cca7438) (Video)
17. [Determinants Part - 1](https://invisiblenetwork.ai/learn/nptel/122107036/2f05b94a2279) (Video)
18. [Determinants Part - 2](https://invisiblenetwork.ai/learn/nptel/122107036/657432ea79f4) (Video)
19. [Solution of System Equation](https://invisiblenetwork.ai/learn/nptel/122107036/7421d4815376) (Video)
20. [Linear Algebra Part-1](https://invisiblenetwork.ai/learn/nptel/122107036/11a7267bf1c5) (Video)
21. [Linear Algebra part - 2](https://invisiblenetwork.ai/learn/nptel/122107036/c28dbee715f7) (Video)
22. [Linear Algebra Part - 3](https://invisiblenetwork.ai/learn/nptel/122107036/2f27780822f1) (Video)
23. [Linear Algebra Part - 4](https://invisiblenetwork.ai/learn/nptel/122107036/23d5ac762391) (Video)
24. [Inner Product](https://invisiblenetwork.ai/learn/nptel/122107036/1c67c833a12c) (Video)
25. [Linear Transformation Part - 1](https://invisiblenetwork.ai/learn/nptel/122107036/add5db310bfe) (Video)
26. [Linear Transformation Part - 2](https://invisiblenetwork.ai/learn/nptel/122107036/05ba88fb8b0e) (Video)
27. [Eigenvalues Eigenvectors Part - 1](https://invisiblenetwork.ai/learn/nptel/122107036/3f3c97785a3e) (Video)
28. [Eigenvalues Eigenvectors Part - 2](https://invisiblenetwork.ai/learn/nptel/122107036/b172128d61de) (Video)
29. [Quadratic Forms](https://invisiblenetwork.ai/learn/nptel/122107036/0a5e3a16fda1) (Video)
30. [Diagonalization Part - 1](https://invisiblenetwork.ai/learn/nptel/122107036/819745e487b4) (Video)
31. [Diagonalization Part - 2](https://invisiblenetwork.ai/learn/nptel/122107036/8e5eea9eb1a5) (Video)
32. [Solution of System of Linear Equation](https://invisiblenetwork.ai/learn/nptel/122107036/dd912c402efd) (Video)
33. [Functions of Complex Variables Part - 1](https://invisiblenetwork.ai/learn/nptel/122107036/43f1211e60d5) (Video)
34. [Functions of Complex Variables Part - 2](https://invisiblenetwork.ai/learn/nptel/122107036/28cb56b873f8) (Video)
35. [Taylor Series](https://invisiblenetwork.ai/learn/nptel/122107036/7dd3f506ebcf) (Video)
36. [Laurent Series](https://invisiblenetwork.ai/learn/nptel/122107036/ee3f6e9ea64c) (Video)
37. [Rank of a Matrix](https://invisiblenetwork.ai/learn/nptel/122107036/951a9e1e5011) (Video)
38. [Complex Numbers Their Geometrical Representation](https://invisiblenetwork.ai/learn/nptel/122107036/48f6fd2fdc2d) (Video)