San Antonio, Texas

Spring 2018 - Partial Differential Equations

Lecture Handouts & Slides

DateDescription
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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