San Antonio, Texas

Spring 2023 - Partial Differential Equations

Lecture Handouts & Slides

DateDescription
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
4/13Lecture:  The Fourier Transform
4/18Lecture:  The Fourier Transform Method

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