I recall a particularly skilled Calculus professor from my undergraduate career, Dr. Bill Wade. He was able to draw these amazing images using chalk to help his students see the geometric relationships inherent to Calculus. My skills as an artist do not compare but we live in an age where computers have become wonderful tools when used properly. I incorporate the use of computer graphics in my teachings when applicable. Creating graphics, such as the ones shown here, has the added advantage of being able to rotate, move, and adjust the images quickly to include different perspectives. The image above is from the Ordinary Differential Equations course I taught at LSU and demonstrates the direction field associated with an ODE along with a few solution curves. The picture to the right is a still shot of a paraboloid, a level curve along the paraboloid, and its tangent line. (These images were created using the Grapher app on Mac.)

Courses at Louisiana State University:

  • Numerical Differential Equations
  • Ordinary Differential Equations
  • Calculus III

Courses at the University of Tennessee:

  • Calculus II
  • Calculus I
  • Pre-Calculus
  • Statistical Reasoning