Class Handouts

The following files are in .pdf format.

  • The Greek Alphabet

  • Guidelines for Partial Fractions

  • Undetermined Coefficients--first order case.

  • Guidelines for Separable First Order Equations

  • Separable Equation Examples

  • Example for Euler's Method

  • Table for Euler's Method

  • Sample Hour Examination

  • Answers to Separable Equations Handout

  • Sample Applied Problems

  • General Method and Examples for Second Order, Linear, Constant Coefficient ODE

  • Homogeneous Second Order Examples

  • Answers to Applied Problems

  • Answers to Second Order Examples

  • Notes on the Method of Undetermined Coefficients

  • General Steps for the Method of Undetermined Coefficients

  • Examples for Non-homogeneous Equations

  • Answers to Nonhomogeneous Problems

  • Beats and Resonance

  • Guidelines for Systems

  • Systems with Distinct Real Eigenvalues

  • Systems with Complex Conjugate Eigenvalues

  • Systems with Repeated Real Eigenvalues

  • Phase Portraits for Linear Systems

  • Phaseportraits for Linear First Order Systems