# Laplace Transform

- Institution: IMSc
- Department: Mathematics
- Teacher: Prof. Indrava Roy
- Level: Undergraduate
- Language: English
- Subjects: Mathematics
- Source: [NPTEL](https://nptel.ac.in/courses/111106139)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/111106139)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

## Lectures

1. [Introduction and Motivation for Laplace transforms - Part 1](https://invisiblenetwork.ai/learn/nptel/111106139/a3e0b0879929) (Video)
2. [Introduction and Motivation for Laplace transforms - Part 2](https://invisiblenetwork.ai/learn/nptel/111106139/2ab7f8da6153) (Video)
3. [Improper Riemann integrals: Definition and Existence - Part 1](https://invisiblenetwork.ai/learn/nptel/111106139/2f383341bf5f) (Video)
4. [Improper Riemann integrals: Definition and Existence - Part 2](https://invisiblenetwork.ai/learn/nptel/111106139/60506acb4cd7) (Video)
5. [Existence of Laplace transforms and Examples](https://invisiblenetwork.ai/learn/nptel/111106139/247d2d90342a) (Video)
6. [Properties of Laplace transforms- I - Part 1](https://invisiblenetwork.ai/learn/nptel/111106139/08bf4e4ffd18) (Video)
7. [Properties of Laplace transforms- I - Part 2](https://invisiblenetwork.ai/learn/nptel/111106139/9967a6a62d89) (Video)
8. [Existence of Laplace transforms for functions with vertical asymptote at the Y-axis - Part 1](https://invisiblenetwork.ai/learn/nptel/111106139/476fda8ab554) (Video)
9. [Existence of Laplace transforms for functions with vertical asymptote at the Y-axis - Part 2](https://invisiblenetwork.ai/learn/nptel/111106139/cbf0dcfafef3) (Video)
10. [Properties of Laplace transforms- II - Part 1](https://invisiblenetwork.ai/learn/nptel/111106139/7a40d7448b0e) (Video)
11. [Properties of Laplace transforms- II - Part 2](https://invisiblenetwork.ai/learn/nptel/111106139/490e3441560f) (Video)
12. [Laplace transform of Derivatives - Part 1](https://invisiblenetwork.ai/learn/nptel/111106139/07d714dd79db) (Video)
13. [Laplace transform of Derivatives - Part 2](https://invisiblenetwork.ai/learn/nptel/111106139/329c6ab3a1c1) (Video)
14. [Laplace transform of Periodic functions and Integrals -I](https://invisiblenetwork.ai/learn/nptel/111106139/d6f991915076) (Video)
15. [Laplace transform of Integrals- II - Part 1](https://invisiblenetwork.ai/learn/nptel/111106139/0004986080df) (Video)
16. [Laplace transform of Integrals- II - Part 2](https://invisiblenetwork.ai/learn/nptel/111106139/c6e17e2c5744) (Video)
17. [Inverse Laplace transform and asymptotic behaviour - Part 1](https://invisiblenetwork.ai/learn/nptel/111106139/e859b262c623) (Video)
18. [Inverse Laplace transform and asymptotic behaviour - Part 2](https://invisiblenetwork.ai/learn/nptel/111106139/179868f4517f) (Video)
19. [Methods of finding Inverse Laplace transform-I- Partial Fractions](https://invisiblenetwork.ai/learn/nptel/111106139/431f0d6fa1b4) (Video)
20. [Methods of finding Inverse Laplace transform-II- Convolution theorem](https://invisiblenetwork.ai/learn/nptel/111106139/b5ba7d68fb9d) (Video)
21. [Convolution theorem for Laplace transforms](https://invisiblenetwork.ai/learn/nptel/111106139/e54b08b5c42f) (Video)
22. [Applications of Laplace transforms](https://invisiblenetwork.ai/learn/nptel/111106139/3550f05836a1) (Video)
23. [Applications of Laplace Transform to physical systems](https://invisiblenetwork.ai/learn/nptel/111106139/df5119a82cce) (Video)
24. [Solving Linear ODE's with polynomial coefficients](https://invisiblenetwork.ai/learn/nptel/111106139/b1ba1ac4bbd7) (Video)
25. [Integral and Integro-differential equation](https://invisiblenetwork.ai/learn/nptel/111106139/75aa8359d488) (Video)
26. [Further application of Laplace transforms - Part 1](https://invisiblenetwork.ai/learn/nptel/111106139/acbf6eb937d7) (Video)
27. [Further application of Laplace transforms - Part 2](https://invisiblenetwork.ai/learn/nptel/111106139/7bcf19890582) (Video)
28. [Live Session 23-11-2020](https://invisiblenetwork.ai/learn/nptel/111106139/a3e0b0879929-2) (Video)