• Differential Equations
  • Solutions to Differential Equations
    • Postscript version
    • Latex version
  • Slope Fields
    • Postscript version
    • Latex version with figures in a Mathematica notebook
  • Euler's Method *
    • Postscript version
    • Latex version with figures in a Mathematica notebook
  • Separation of Variables
    • Postscript version
    • Latex version
  • Newton's Law of Cooling
    • Postscript version
    • Latex version
  • Modeling with Differential Equations
    • Postscript version
    • Latex version
  • The Logistic Model of Population Growth *
    • Postscript version
    • Latex version with figures in a Mathematica notebook
  • Pendulum (system of two linear differential equations)
    • Postscript version
    • Latex version
      with one figure in a Mathematica notebook
      and one in encapsulated postscript (generated with xfig )
  • Lanchester's Model for Armies (the Battle of Trafalgar) *
    • Postscript version
    • Latex version with figures in a Mathematica notebook
• Taylor Series
  • Introduction to Taylor Series *
    • Postscript version
    • Latex version
  • Geometric Series and You *
    • Postscript version
    • Latex version
  • Geometric Series
    • Postscript version
    • Latex version
  • Euler's Identity *
    • Postscript version
    • Latex version
  • Estimating the Error in Taylor Series *
    • Postscript version
    • Latex version with figures in a Mathematica notebook
• Vectors and Matrix Manipulations
  • Dot Products and Projections
    • Postscript version
    • Latex version
      with a figure in encapsulated postscript (generated with xfig )
  • Gaussian Elimination (Row Reduction)
    • Postscript version
    • Latex version
  • Matrix Examples in Upper Echelon Form
    • Postscript version
    • Latex version
  • Matrix Basics *
    • Postscript version
    • Latex version
  • Elementary Row Operation Matrices
    • Postscript version
    • Latex version
  • Matrix Transformations in 2 Dimensions
    • Postscript version
    • Latex version
  • Matrix Transformations in 3 Dimensions
    • Postscript version
    • Latex version
  • Determinants
    • Postscript version
    • Latex version
  • Inverses
    • Postscript version
    • Latex version
  • Eigenvectors and Eigenvalues (Exploring their properties)
    • Postscript version
    • Latex version
      with figures in a Mathematica notebook or in a postscript file
  • Eigenvectors and Eigenvalues (Finding them and using them) *
    • Postscript version
    • Latex version
  • Orthogonal Matrices in 2-D (graphical)
    • Postscript version
    • Latex version
  • Rotation of coordinates in 2-D
    • Postscript version
    • Latex version
  • Orthogonal Matrices *
    • Postscript version
    • Latex version
• Last-Day Summary
  • Worksheet to accompany the Summary Lecture
    (linear, homogeneous, second-order ODEs) *
    • Postscript version
    • Latex version
• Sorry! That's all I have right now.

* Worksheets marked with an asterisk were developed in large part by David Olson.

All of these worksheets are under continual revision. If you'd like an updated version of any of these, just send me email.

To download the Mathematica notebooks, hold the Shift key while you left-click on the link.

If you have any suggestions for corrections, additions, or improvements, please let me know.