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Learn · Partial Differential Equations

Lecture 2 of 32Week 1

Lecture 01 : Part B - Fourier Series: Idea

Prof. Kaushik Bal · IIT Kanpur

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From
Partial Differential Equations, IIT Kanpur (at NPTEL)
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CC BY-NC-SA, as NPTEL states it. Non-commercial use only.
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All the lectures

  1. Lecture 01 : Part A - Periodic Functions YouTube
  2. Lecture 01 : Part B - Fourier Series: Idea YouTube
  3. Lecture 01 : Part C - Convergence of Fourier Series YouTube
  4. Lecture 02 : Part A - Fourier Series of Arbitrary Period YouTube
  5. Lecture 02 : Part B - Half Range Fourier Extension YouTube
  6. Lecture 02 : Part C - Addendum “Double Fourier Series” YouTube
  7. Lecture 03 : Sturm Liouville Problem: An Introduction YouTube
  8. Lecture 04 part : 1 Behavior of Regular Sturm-Liouville System YouTube
  9. Lecture 04 Part : 2 Behavior of Regular Sturm-Liouville System Part II YouTube
  10. Lecture 04 Part : 3 Behavior of Regular Sturm-Liouville Problem Part III YouTube
  11. Lecture 05 : Part 1 - Basics of Calculus YouTube
  12. Lecture 05 : Part 2 - Basics of Calculus 2 YouTube
  13. Lecture 06 : Introduction to PDE’s YouTube
  14. Lecture 07 : First order PDE: Classification and Construction YouTube
  15. Lecture 08 : Geometry of First order PDE and Method of Characteristics YouTube
  16. Lecture 09 : Canonical form for First order PDE YouTube
  17. Lecture 10 : Separation of Variable for First order PDE YouTube
  18. Lecture 11 : Method of Characteristics: Existence and Uniqueness YouTube
  19. Lecture 12 : Classification of Second order Linear PDE YouTube
  20. Lecture 13 : Canonical Form YouTube
  21. Lecture 14 : Canonical Form Examples YouTube
  22. Lecture 15 : Elliptic Equations: Boundary Conditions YouTube
  23. Lecture 16 : Laplace Equation: Fundamental Solution YouTube
  24. Lecture 17 : Maximum Principle for Laplacian YouTube
  25. Lecture 18 : Separation of Variable Formula for Laplace Equation YouTube
  26. Lecture 19 : Poisson Equation with Dirichlet and Neumann Boundary YouTube
  27. Lecture 20 : Wave Equation: Separation of Variable YouTube
  28. Lecture 21 : Wave Equation: D'Alembert Formula YouTube
  29. Lecture 22 : Nonhomogeneous Wave Equation YouTube
  30. Lecture 23 : Heat Equation: Fundamental Solution and Maximum Principle YouTube
  31. Lecture 24 : Heat Equation: Separation of Variable and Uniqueness YouTube
  32. Lecture 25 : Nonhomogeneous Equations YouTube