# Introduction to Methods of Applied Mathematics

- Institution: IIT Delhi
- Department: Mathematics
- Taught by: Prof. Mani Mehra, Prof. Vivek Kumar Aggarwal
- Level: Undergraduate
- Language: English
- Subjects: Mathematics
- Source: [NPTEL](https://nptel.ac.in/courses/111102133)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/111102133)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

This course is aimed at final year undergraduate and graduate students in engineering, physics and applied mathematics. This will cover the very important and essential topics used by almost all branches of Science and engineering.

INTENTED AUDIENCE : Any Interested Learners

PREREQUISITES : Some basic knowledge of Calculus, Differential Equations, Topics related to Mathematics – I, II will be an advantage.

## Lectures

1. [Introduction to First Order Differential Equations](https://invisiblenetwork.ai/learn/nptel/111102133/23648c827c54) (YouTube)
2. [Introduction to First Order Differential Equations (contd…)](https://invisiblenetwork.ai/learn/nptel/111102133/14c91b864d8e) (YouTube)
3. [Introduction to Second Order Linear Differential Equations](https://invisiblenetwork.ai/learn/nptel/111102133/9be569421c52) (YouTube)
4. [Second Order Linear Differential Equations With Constant Coefficients](https://invisiblenetwork.ai/learn/nptel/111102133/d6f203b3e929) (YouTube)
5. [Second Order Linear Differential Equations With Constant Coefficients (Contd…)](https://invisiblenetwork.ai/learn/nptel/111102133/fd86a61200c6) (YouTube)
6. [Second Order Linear Differential Equations With Variable Coefficients](https://invisiblenetwork.ai/learn/nptel/111102133/5b4cf3994a93) (YouTube)
7. [Factorization of Second order Differential Operator & Euler Cauchy Equation](https://invisiblenetwork.ai/learn/nptel/111102133/c541cc9138f1) (YouTube)
8. [Power Series Solution of General Differential Equation](https://invisiblenetwork.ai/learn/nptel/111102133/4a3d98f0cb63) (YouTube)
9. [Green's function](https://invisiblenetwork.ai/learn/nptel/111102133/d0427252bdc1) (YouTube)
10. [Method of Green's Function for Solving Initial Value & Boundary Value Problems](https://invisiblenetwork.ai/learn/nptel/111102133/107197a4bc18) (YouTube)
11. [Adjoint Linear Differential Operator](https://invisiblenetwork.ai/learn/nptel/111102133/04b4a51121b2) (YouTube)
12. [Adjoint Linear Differential Operator (Contd..)](https://invisiblenetwork.ai/learn/nptel/111102133/065773cce45b) (YouTube)
13. [Sturm-Liouvile Problems](https://invisiblenetwork.ai/learn/nptel/111102133/9f8d310e916b) (YouTube)
14. [Laplace transformation](https://invisiblenetwork.ai/learn/nptel/111102133/d1679688708b) (YouTube)
15. [Laplace transformation (Contd…)](https://invisiblenetwork.ai/learn/nptel/111102133/eba65d195cde) (YouTube)
16. [Laplace Transform Method for Solving Ordinary Differential Equations](https://invisiblenetwork.ai/learn/nptel/111102133/2cb08f3b1660) (YouTube)
17. [Laplace Transform Applied to Differential Equations & Convolution](https://invisiblenetwork.ai/learn/nptel/111102133/e5d900903206) (YouTube)
18. [Fourier Series](https://invisiblenetwork.ai/learn/nptel/111102133/47906366c512) (YouTube)
19. [Fourier Series (Contd…)](https://invisiblenetwork.ai/learn/nptel/111102133/0e6d09634bce) (YouTube)
20. [Gibbs Phenomenon and Parseval's Identity](https://invisiblenetwork.ai/learn/nptel/111102133/19046fcc6c3d) (YouTube)
21. [Fourier Integral and Fourier Transform](https://invisiblenetwork.ai/learn/nptel/111102133/e10aa81d9b25) (YouTube)
22. [Fourier Integral and Fourier Transform (Contd..)](https://invisiblenetwork.ai/learn/nptel/111102133/1d0bda8451d0) (YouTube)
23. [Fourier Transform Method for Solving Ordinary Differential Equations](https://invisiblenetwork.ai/learn/nptel/111102133/c6e15da54972) (YouTube)
24. [Frames, Riesz Bases and Orthonormal Bases](https://invisiblenetwork.ai/learn/nptel/111102133/5b3deadcb2d1) (YouTube)
25. [Frames, Riesz Bases and Orthonormal Bases (Contd..)](https://invisiblenetwork.ai/learn/nptel/111102133/91f2ab96f29c) (YouTube)
26. [Fourier Series and Fourier Transform](https://invisiblenetwork.ai/learn/nptel/111102133/1a8b6c61a30f) (YouTube)
27. [Time-Frequency Analysis and Gabor Transform](https://invisiblenetwork.ai/learn/nptel/111102133/02fb95352b17) (YouTube)
28. [Window Fourier Transform and Multiresolution Analysis](https://invisiblenetwork.ai/learn/nptel/111102133/794c268c3f1d) (YouTube)
29. [Construction of Scaling Functions and Wavelets Using Multiresolution Analysis](https://invisiblenetwork.ai/learn/nptel/111102133/f956b24099be) (YouTube)
30. [Daubechies Wavelet](https://invisiblenetwork.ai/learn/nptel/111102133/c11ee364fcff) (YouTube)
31. [Daubechies Wavelet (Contd…)](https://invisiblenetwork.ai/learn/nptel/111102133/aaf7daa330b9) (YouTube)
32. [Wavelet Transform and Shannon Wavelet](https://invisiblenetwork.ai/learn/nptel/111102133/26fe09706c03) (YouTube)