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First Course on Partial Differential Equations - I

Prof. A. K. Nandakumaran Prof. P. S. Datti · IISc Bangalore

Start with lecture 1 At NPTEL

Lectures

Week 1 Introduction and Preliminaries

  1. Introduction-1 Video
  2. Introduction-2 Video
  3. Priliminaries-1 Video
  4. Priliminaries-2 Video
  5. Priliminaries-3 Video
  6. Priliminaries-4 Video

Week 2 First Order Equations - 2 variables

  1. First order equations in two variables-1 Video
  2. First order equations in two variables-2 Video
  3. First order equations in two variables-3 Video
  4. First order equations in two variables-4 Video
  5. First order equations in two variables-5 Video

Week 3 First Order Equations - multi variables and classification

  1. First order equations in more than two variables-6 Video
  2. First order equations in more than two variables-7 Video
  3. First order equations in more than two variables-8 Video
  4. Classification-1 Video
  5. Classification-2 Video
  6. Classification-3 Video

Week 4 Laplace and Poisson Equation 1

  1. Laplace and Poisson equations-1 Video
  2. Laplace and Poisson equations-2 Video
  3. Laplace and Poisson equations-3 Video
  4. Laplace and Poisson equations-4 Video
  5. Laplace and Poisson equations-5 Video

Week 5 Laplace and Poisson Equation 2

  1. Laplace and Poisson equations-6 Video
  2. Laplace and Poisson equations-7 Video
  3. Laplace and Poisson equations-8 Video
  4. Laplace and Poisson equations-9 Video
  5. Laplace and Poisson equations-10 Video

Week 6 Heat Equation

  1. One dimensional heat equation-1 Video
  2. One dimensional heat equation-2 Video
  3. One dimensional heat equation-3 Video
  4. One dimensional heat equation-4 Video
  5. One dimensional heat equation-5 Video
  6. One dimensional heat equation-6 Video

Week 7 Wave Equation 1

  1. One dimensional wave equation-1 Video
  2. One dimensional wave equation-2 Video
  3. One dimensional wave equation-3 Video
  4. One dimensional wave equation-4 Video
  5. One dimensional wave equation-5 Video

Week 8 Wave Equation 2

  1. One dimensional wave equation-6 Video
  2. One dimensional wave equation-7 Video
  3. One dimensional wave equation-8 Video

Live Session

  1. Live Session 22-02-2022 Video

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IISc Bangalore
Department
Mathematics
Teacher
Prof. A. K. Nandakumaran Prof. P. S. Datti
Level
Undergraduate
Language
English
Subjects
Mathematics
Source
NPTEL
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
Attribution
NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
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