Course Materials 

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Nonhomogeneous Problems

• Heat equation with Dirichlet BCs

• Heat equation with Neumann BCs

• Nonhomogeneous Heat Equation

• Solution of a Nonhomogeneous Heat Equation

Green's Functions

• Variation of Parameters 

• Linear Methods of Applied Math

• For First and Second Order Equations: Site 1, Site 2, 

• NIST Tutorial 

• Introduction to Green's Functions

• Finding Green functions for ODEs.

• Green's Function Library

Applications of Complex Analysis

• Irrotational Flow around objects

• Conformal Mapping Example

• Plotting Functions of a Complex Variable

• Ideal Flow Machine

• Visual Complex Analysis, The Book

• Zipper

• Conformal Mapping and Minimal Surfaces

• Software Collection for Complex Variables

• Visualizing Complex Functions Using Domain Coloring

• Graphics for Complex Analysis

• Visualizing Complex Functions

• Complex Function Viewer - Java

• The Chaos Hypertextbook

• Free Textbook on Complex Analysis

 First Order Equations

• Examples of Solving Differential Equations in Maple
  • First Order PDEs - PDEchar.mws, FPDESol.mws
  • Shocks and Rarefactions, Characteristics for Sample Shocks and Rarefactions
  • Additional Solutions 1, 2

Topics Review for Final