San Antonio, Texas
Spring 2023 - Partial Differential Equations
Lecture Handouts & Slides
Date
Description
1/12
Lecture:
Introduction to PDEs
1/17
Lecture:
Solving First Order PDEs
1/19
Lecture:
The method of characteristics
Maple file:
Characteristic Curves
Handout:
Systems of Autnomous ODEs
1/24
Lecture:
Intro. to the Wave Equation
Maple file:
Infinite String Example
1/26
Lecture:
Periodic Functions and Fourier Series
Maple file:
Periodic Extensions in Maple
2/2
Lecture:
Formulas for Fourier coefficients
2/7
Lecture:
More on Fourier Series
2/9
Lecture:
The 1-D Wave Equation Revisited
2/14
Lecture:
Linear PDEs and Superposition
Maple file:
1-D Wave Modes and Examples
2/16
Lecture:
The 1-D Heat Equation, Part 1
Maple file:
1-D Heat Examples
2/21
Lecture:
The 1-D Heat Equation, Part 2
Maple file:
More 1-D Heat Examples
2/23
Maple file:
The Radiating Rod
2/28
Lecture:
The 2-D Heat Equation
3/7
Lecture:
The Laplacian in Polar Coordinates
3/21
Lecture:
The 2-D Wave Equation
Maple file:
2-D Wave Examples
4/4
Lecture:
The Vibrating Circular Membrane
Handout:
Euler ODEs
Maple file:
Circular Wave Modes
Maple file:
Circular Membrane Examples
4/13
Lecture:
The Fourier Transform
4/18
Lecture:
The Fourier Transform Method
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