Resources

1. An Introduction to Differential Equations and Their Applications by Stanley J. Farlow, Dover Publications
2. online text created by Prof. Paul Dawkins of Lamar University
3. Schaum's Outline Series - Differential Equations

• Mathematica for Wilkes Students
• Graphing Calculator from PacificTech
• Matlab: Student Edition
• Matlab is available at various locations on campus. You should be able to use it in our lab (SLC 409) as well as remotely.
• Geogebra (Classic)

SlopeField script

• Introduction

- solutions (.pdf)

First Order Differential Equations

• Separation of variables and integrating factors
• Common substitutions
• Numerical methods
• Impulse functions

- solutions (.pdf)

Higher Order Differential Equations

• Homogeneous with constant coefficients
• The Phase Plane
• Nonomogeneous with constant coefficients
• Reduction of order and powers series solutions
• Impulse and step response
• Applications
• Summary

- solutions (.pdf)

The Laplace Transform

• Basics
• Step and Impulse Functions

- solutions (.pdf)

Systems of Ordinary Linear Differentual Equations

• Introduction

- solutions (.pdf)

• Calculus "cheat" sheet
• Complex numbers "cheat" sheet
• How to plot slope fields

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• Slope field plotter (A. Barton, University of Arkansas)
• Phase plane plotter (A. Barton, University of Arkansas)

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• Geogebra function plotter (.ggb)
• Geogebra slope field plotter version 1 (.ggb)
• Geogebra slope field plotter with solver (.ggb)
• Geogebra numerical methods plotter (.ggb)
• Geogebra phase plane (.ggb)
• Phase plane with eigenvectors (.ggb)

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• Numerical Methods (.xls)
• Euler's Method (.pdf)
• Eight "Named Integrals" (.pdf)
• Variation of Parameters (Higher Order) (.pdf)

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• Laplace Transform sheet

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• 2 x 2 Linear System with complex eigenvalues
• 3 x 3 Linear System
• Test Archives (SMR 2009)
  • Test #1
  • Test #2
  • Test #3
  • Test #4
  • Test #5 (Practice)
• Test Archives (FALL 2021)
  • Test # 1
  • Test # 2
  • Test # 3