San Antonio, Texas
Spring 2018 - Partial Differential Equations
Lecture Handouts & Slides
Date
Description
1/11
Lecture:
Introduction to PDEs
1/18
Lecture:
Solving first order PDEs
1/23
Lecture:
The method of characteristics
1/25
Lecture:
Intro. to the Wave Equation
1/30
Lecture:
Periodic Functions and Fourier Series
2/6
Lecture:
Formulas for Fourier coefficients
2/13
Maple file:
Convergence of Fourier Series
2/15
Lecture:
More on Fourier Series
2/20
Lecture:
The 1-D Wave Equation Revisited
Maple file:
Normal Modes of the 1-D Wave Equation
Maple file:
1-D Wave Examples
2/22
Lecture:
Linear PDEs and Superposition
2/27
Lecture:
The 1-D Heat Equation, Part 1
Maple file:
1-D Heat Examples
3/1
Lecture:
The 1-D Heat Equation, Part 2
Maple file:
More 1-D Heat Examples
3/6
Lecture:
The 2-D Wave Equation
Maple file:
2-D Wave Examples
3/27
Lecture:
The 2-D Heat Equation
Maple file:
2-D Heat Examples
3/29
Lecture:
The Laplacian in Polar Coordinates
4/3
Lecture:
Power Series, Part 1
Maple file:
Convergence of Power Series
4/10
Lecture:
Power Series, Part 2
Maple file:
Power Series Solutions of ODEs
4/12
Lecture:
The Method of Frobenius
Maple file:
Frobenius Solutions of ODEs
4/24
Lecture:
Bessel Functions
Maple file:
Normal modes of the circular membrane
4/26
Lecture:
The Vibrating Circular Membrane
Maple file:
Circular Membrane Examples
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