Resources

1. (Required) Elementary Differential Equations and Boundary Value Problems, 12th Edition by William E. Boyce, Richard C. DiPrima, and Douglas B. Meade
2. (Recommended) An Introduction to Differential Equations and Their Applications by Stanley J. Farlow, Dover Publications
3. online text created by Prof. Paul Dawkins of Lamar University
4. (Recommended) 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)

• Van Meegeren Forgeries
• Introduction

- solutions (.pdf)

First Order Differential Equations

• Separation of variables and integrating factors
• First Order Linear Ordinary Differential Equations (MIT OpenCourseware - Dr. Arthur Matuck)

  start at 23:50 (video)

• Growth and Decay
• 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
• Integration by parts (tabular method)
• Partial fraction decomposition (Heaviside)
• Complex numbers reference
• Complex numbers "cheat" sheet
• Solving ODEs with Mathematica (.txt)
• Solving ODEs with MatLab (.txt)
• How to plot slope fields in Mathematica and Maple

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• Matrices and Vectors (Paul Dawkins, Lamar University)
• Complex Number Primer (Paul Dawkins, Lamar University)

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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)
• Geogebra parametric plotter for phase plane analysis (.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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• Trig Reference sheet
• Laplace Transform sheet
• Matrix Tutorial (M. Stanojcic, Cal State at East Bay)

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