Lecture Notes for Math 4263
Adobe Acrobat files
A freeware Acrobat (.pdf file) viewer can be obtained from
Adobe
Once the Acrobat plugin has been downloaded and installed, file can be view simply by clicking on the corresponding link.
Lecture 0: Review of Basic ODE Theory
Lecture 1: Introduction
Lecture 2: First Order Linear PDEs
Lecture 3: Characteristics and First Order Equations
Lecture 4: Second Order Linear PDEs
Lecture 5: The Heat Equation
Lecture 6: Explicit Solutions of the Heat Equation
Lecture 7: The Wave Equation
Lecture 7: Fourier Series
Lecture 8: Fourier Series Solution of the Wave Equation
Lecture 9: Sturm-Liouville Theory
Lecture 10: The Wave Equation
Lecture 11: The Wave Equation with a Source
Lecture 13: Laplace's Equation
Lecture 14: Laplace's Equation on a Disc
Lecture 15: Distributions
Lecture 16: Distributions and Laplace's Equation
Lecture 19: Numerical Methods - Divided Differences
Lecture 20: Finite Element Method : Origins
Lecture 21: Finite Element Method Applied to Laplace's Equation