Partial Differential Equations PG99PJ34MP
| URI | m2://res/PG99PJ34MP |
|---|---|
| Kind | course |
| Creators | Kaushik Bal (instructor) |
| Date | 2025-08-31 |
| MSC | 35-XX |
| Scope | in |
| Ids | course 05pjsgx75:111104766 |
Expressions
e1: edition
| Language | en |
|---|---|
| Date | 2025-08-31 |
- m1: page, IIT Kanpur (record). nptel 111104766
- m2: page, 2025-08-31 (record). nptel 111104766
Contents
- part 1: Week 1
- session 1: Lecture 01 : Part A - Periodic Functions
- session 2: Lecture 01 : Part B - Fourier Series: Idea
- session 3: Lecture 01 : Part C - Convergence of Fourier Series
- session 4: Lecture 02 : Part A - Fourier Series of Arbitrary Period
- session 5: Lecture 02 : Part B - Half Range Fourier Extension
- session 6: Lecture 02 : Part C - Addendum “Double Fourier Series”
- part 2: Week 2
- session 7: Lecture 03 : Sturm Liouville Problem: An Introduction
- session 8: Lecture 04 part : 1 Behavior of Regular Sturm-Liouville System
- session 9: Lecture 04 Part : 2 Behavior of Regular Sturm-Liouville System Part II
- session 10: Lecture 04 Part : 3 Behavior of Regular Sturm-Liouville Problem Part III
- part 3: Week 3
- session 11: Lecture 05 : Part 1 - Basics of Calculus
- session 12: Lecture 05 : Part 2 - Basics of Calculus 2
- session 13: Lecture 06 : Introduction to PDE’s
- session 14: Lecture 07 : First order PDE: Classification and Construction
- part 4: Week 4
- session 15: Lecture 08 : Geometry of First order PDE and Method of Characteristics
- session 16: Lecture 09 : Canonical form for First order PDE
- session 17: Lecture 10 : Separation of Variable for First order PDE
- part 5: Week 5
- session 18: Lecture 11 : Method of Characteristics: Existence and Uniqueness
- session 19: Lecture 12 : Classification of Second order Linear PDE
- session 20: Lecture 13 : Canonical Form
- session 21: Lecture 14 : Canonical Form Examples
- part 6: Week 6
- session 22: Lecture 15 : Elliptic Equations: Boundary Conditions
- session 23: Lecture 16 : Laplace Equation: Fundamental Solution
- session 24: Lecture 17 : Maximum Principle for Laplacian
- session 25: Lecture 18 : Separation of Variable Formula for Laplace Equation
- part 7: Week 7
- session 26: Lecture 19 : Poisson Equation with Dirichlet and Neumann Boundary
- session 27: Lecture 20 : Wave Equation: Separation of Variable
- session 28: Lecture 21 : Wave Equation: D'Alembert Formula
- session 29: Lecture 22 : Nonhomogeneous Wave Equation
- part 8: Week 8
- session 30: Lecture 23 : Heat Equation: Fundamental Solution and Maximum Principle
- session 31: Lecture 24 : Heat Equation: Separation of Variable and Uniqueness
- session 32: Lecture 25 : Nonhomogeneous Equations
Catalogue records
- nptel: 111104766 (manifestation)
- nptel_video: 111104766 (manifestation)