Course11110815241 lectures
First Course on Partial Differential Equations - II
Prof. A. K. Nandakumaran and Prof. P. S. Datti · IISc Bangalore
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)
WEEK 2 Hamilton Jacobi Equations and Conservation Laws (CL)
WEEK 3 Conservation Laws and Poisson Equation
WEEK 4 Laplace and Poisson Equations
WEEK 5 Poisson Equation and Heat Equation
- Newtonian Potential 4
- Newtonian Potential 5
- Eigen Value Problem 1
- Heat Equation 1
- Heat Equation 2
- Eigen Value Problem 2
WEEk 6 Heat Equation and Wave equation
WEEK 7 Wave Equation
WEEK 8 Weak Solutions
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
- NPTEL gives no rating. Invisible Network shows it to Tweens profiles and older, judged from what the source says about it. How courses are placed
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