Partial Differential Equations

Advanced Mathematics by NPTEL - Indian Institute of Science, Bengaluru. 42 lectures, 23.7 hours. Covers: heat equation wave equation laplace equation separation of variables fourier series.

Lectures

1. Intro - First Course on Partial Differential Equations - I · 12 min
2. lec01 Introduction-1 · 31 min
3. lec02 Introduction-2 · 35 min
4. lec03 Priliminaries-1 · 36 min
5. lec04 Priliminaries-2 · 40 min
6. lec05 Priliminaries-3 · 36 min
7. lec06 Priliminaries-4 · 34 min
8. lec07 First order equations in two variables-1 · 36 min
9. lec08 First order equations in two variables-2 · 30 min
10. lec09 First order equations in two variables-3 · 35 min
11. lec10 First order equations in two variables-4 · 35 min
12. lec11 First order equations in two variables-5 · 38 min
13. lec12 First order equations in more than two variables-6 · 36 min
14. lec13 First order equations in more than two variables-7 · 43 min
15. lec14 First order equations in more than two variables-8 · 44 min
16. lec15 Classification-1 · 34 min
17. lec16 Classification-2 · 41 min
18. lec17 Classification-3 · 34 min
19. lec18 Laplace and Poisson equations-1 · 32 min
20. lec19 Laplace and Poisson equations-2 · 32 min
21. lec20 Laplace and Poisson equations-3 · 24 min
22. lec21 Laplace and Poisson equations-4 · 30 min
23. lec22 Laplace and Poisson equations-5 · 33 min
24. lec23 Laplace and Poisson equations-6 · 29 min
25. lec24 Laplace and Poisson equations-7 · 39 min
26. lec25 Laplace and Poisson equations-8 · 33 min
27. lec26 Laplace and Poisson equations-9 · 28 min
28. lec27 Laplace and Poisson equations-10 · 38 min
29. lec28 One dimensional heat equation-1 · 32 min
30. lec29 One dimensional heat equation-2 · 27 min
31. lec30 One dimensional heat equation-3 · 36 min
32. lec31 One dimensional heat equation-4 · 36 min
33. lec32 One dimensional heat equation-5 · 34 min
34. lec33 One dimensional heat equation-6 · 37 min
35. lec34 One dimensional wave equation-1 · 22 min
36. lec35 One dimensional wave equation-2 · 34 min
37. lec36 One dimensional wave equation-3 · 36 min
38. lec37 One dimensional wave equation-4 · 31 min
39. lec38 One dimensional wave equation-5 · 49 min
40. lec39 One dimensional wave equation-6 · 35 min
41. lec40 One dimensional wave equation-7 · 30 min
42. lec41 One dimensional wave equation-8 · 35 min

Quick explainers

• Solving the heat equation | DE3 · 14 min
• Understanding Conduction and the Heat Equation · 18 min
• Deriving the Heat Equation: A Parabolic Partial Differential Equation for Heat Energy Conservation · 24 min
• PDE | Heat equation: intuition · 8 min
• But what is a partial differential equation? | DE2 · 18 min
• Heat Equation · 11 min
• Specific Heat Equation Stated Clearly · 4 min
• Solving the Heat Equation with the Fourier Transform · 11 min
• PDE: Heat Equation - Separation of Variables · 21 min
• Heat Equation Derivation · 11 min

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