# A short lecture series on contour integration in the complex plane

- Institution: IISc Bangalore
- Department: Mechanical Engineering
- Teacher: Prof. Venkata Sonti
- Level: Undergraduate
- Language: English
- Subjects: Engineering
- Source: [NPTEL](https://nptel.ac.in/courses/112108285)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/112108285)
- 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 complex variables](https://invisiblenetwork.ai/learn/nptel/112108285/5be0c3097d80) (Video)
2. [Cauchy Riemann Equations](https://invisiblenetwork.ai/learn/nptel/112108285/42cf7b10590c) (Video)
3. [Analytic Functions](https://invisiblenetwork.ai/learn/nptel/112108285/649b7c590872) (Video)
4. [Simple definitions](https://invisiblenetwork.ai/learn/nptel/112108285/bf717da66741) (Video)
5. [Definition of sets, domains, theorem on antiderivative](https://invisiblenetwork.ai/learn/nptel/112108285/0da82e1e498c) (Video)
6. [Cauchy Gorsat Theorem](https://invisiblenetwork.ai/learn/nptel/112108285/4776fbaaa3bb) (Video)
7. [Implications of Cauchy Gorsat Theorem, Cauchy Integral Formula](https://invisiblenetwork.ai/learn/nptel/112108285/37247ec4fe11) (Video)
8. [Implications of CIF, converse of CG theorem](https://invisiblenetwork.ai/learn/nptel/112108285/d3e061c0b68c) (Video)
9. [Examples in contour integrals, ratios of polynomials](https://invisiblenetwork.ai/learn/nptel/112108285/e5f2043ec372) (Video)
10. [Contour integration of sinc function](https://invisiblenetwork.ai/learn/nptel/112108285/03dd220d0638) (Video)
11. [Method of path deformation](https://invisiblenetwork.ai/learn/nptel/112108285/f55c1cf539c1) (Video)
12. [Method of path deformation contd.](https://invisiblenetwork.ai/learn/nptel/112108285/e3033a945d18) (Video)
13. [Infinite and finite branch cuts](https://invisiblenetwork.ai/learn/nptel/112108285/b358a0346da9) (Video)
14. [Finite Branch Cut.](https://invisiblenetwork.ai/learn/nptel/112108285/30c7f50b276c) (Video)
15. [Infinite branch cut example](https://invisiblenetwork.ai/learn/nptel/112108285/08c72c5da473) (Video)
16. [Contour integration: rectangular contour](https://invisiblenetwork.ai/learn/nptel/112108285/18d8415546e8) (Video)
17. [Finite square root branch cut](https://invisiblenetwork.ai/learn/nptel/112108285/9bfddbf8670d) (Video)
18. [Example on finite branch cut](https://invisiblenetwork.ai/learn/nptel/112108285/e5664390c77b) (Video)
19. [Pole on a branch cut](https://invisiblenetwork.ai/learn/nptel/112108285/d98c50d8f4ec) (Video)
20. [L shaped branch cut](https://invisiblenetwork.ai/learn/nptel/112108285/77bb30ae0c7a) (Video)
21. [L shaped branch cut continued](https://invisiblenetwork.ai/learn/nptel/112108285/877c29287f54) (Video)
22. [Inverse Laplace Transform](https://invisiblenetwork.ai/learn/nptel/112108285/7a0277dc6b16) (Video)
23. [Inverse Laplace Transform contd.](https://invisiblenetwork.ai/learn/nptel/112108285/5d2530442dab) (Video)
24. [Additional material or corrections to lectures](https://invisiblenetwork.ai/learn/nptel/112108285/660e613c270e) (Video)
25. [Summary of the total course](https://invisiblenetwork.ai/learn/nptel/112108285/ef43916dde25) (Video)
26. [Live Session 04-09-2019](https://invisiblenetwork.ai/learn/nptel/112108285/5be0c3097d80-2) (Video)
27. [Live Session 24-09-2019](https://invisiblenetwork.ai/learn/nptel/112108285/42cf7b10590c-2) (Video)