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First Course on Partial Differential Equations - II

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

Start with lecture 1 At NPTEL

About

This is intended to be a first course on the subject Partial Differential Equations, which generally requires 40 lecture hours (One semester course). So, we plan to make this course in two parts – 20 hours each. We plan to offer the first part starting in January 2021 and second part may be in July 2021 or latest by 2022.

INTENDED AUDIENCE : Mathematics, Science and Engineering

PREREQUISITES : First Course on Partial Differential Equations – I (Video Course) Functional Analysis, Integration Theory

Lectures

WEEK 1 - Introduction and Hamilton Jacobi Equations (HJE)

  1. Introduction YouTube
  2. HJE 1 YouTube
  3. HJE 2 YouTube
  4. HJE 3 YouTube
  5. HJE 4 YouTube

WEEK 2 Hamilton Jacobi Equations and Conservation Laws (CL)

  1. HJE 5 YouTube
  2. HJE 6 YouTube
  3. CL 1 YouTube
  4. CL 2 YouTube
  5. CL 3 YouTube

WEEK 3 Conservation Laws and Poisson Equation

  1. CL 4 YouTube
  2. CL 5 YouTube
  3. CL 6 YouTube
  4. Perron Method 1 YouTube
  5. Perron Method 2 YouTube

WEEK 4 Laplace and Poisson Equations

  1. Perron Method 3 YouTube
  2. Perron Method 4 YouTube
  3. Newtonian Potential 1 YouTube
  4. Newtonian Potential 2 YouTube
  5. Newtonian Potential 3 YouTube

WEEK 5 Poisson Equation and Heat Equation

  1. Newtonian Potential 4 YouTube
  2. Newtonian Potential 5 YouTube
  3. Eigen Value Problem 1 YouTube
  4. Heat Equation 1 YouTube
  5. Heat Equation 2 YouTube
  6. Eigen Value Problem 2 YouTube

WEEk 6 Heat Equation and Wave equation

  1. Heat Equation 3 YouTube
  2. Heat Equation 4 YouTube
  3. Heat Equation 5 YouTube
  4. Wave Equation 1 YouTube
  5. Wave Equation 2 YouTube

WEEK 7 Wave Equation

  1. Wave Equation 3 YouTube
  2. Wave Equation 4 YouTube
  3. Wave Equation 5 YouTube
  4. Wave Equation 6 YouTube
  5. Wave Equation 7 YouTube

WEEK 8 Weak Solutions

  1. Weak Solutions 1 YouTube
  2. Weak Solutions 2 YouTube
  3. Weak Solutions 3 YouTube
  4. Weak Solutions 4 YouTube
  5. Weak Solutions 5 YouTube

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IISc Bangalore
Department
Mathematics
Taught by
Prof. A. K. Nandakumaran, Prof. P. S. Datti
Level
Graduate
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.
Who can watch
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