Peter M. Gent
gent@mad.scientist.com

College of the Redwoods
Math 55 -- Differential Equations

 

Click here to start

 

 

Download pursuit.m

 

Table of Contents

  1. Pursuit Curves and Matlab
  2. What is a Pursuit Curve?
  3. Definition of Curve
  4. Pursuit Curve of Circle
  5. Pursuit Equations
  6. R (t) = p(t) i + q(t) j
  7. F (t) = x(t) i + y(t) j
  8. Finding the Pursuit Curve
  9. Unit Vectors
  10. Unit Tangent Vector
  11. Unit Difference Vector
  12. Finding the Velocity
  13. Velocity in Vector Notation
  14. The Differential Equations
  15. Pursuit on a Circle
  16. Differential Equations for a Pursuit on a Circle
  17. Simplified Equations
  18. Solving the DE Numerically
  19. Using ode45 in Matlab
  20. Pursuit Plot
  21. Difference Equations
  22. Difference Equations
  23. Pursuit and Matlab

 

Special thanks to Warren Staley for starting me on this project and guiding me throughout its development and David Arnold for helping me develop the pursuit GUI.

Questions? gent@mad.scientist.com