Professor Wei-Chi Yang

Math 480 Topics in Mathematics

Mathematics and Technology

1. Shortest Total Distance among Surfaces.
   • Two Curves-2D motivation.
   • Maple 2D.
   • Maple 3D.
   • Three Curves-2D motivation.
   • 3D Scenario-Cabri
   • Maple on 3D case.
2. Signed Area and Volume Problem-special case of Green's and Divergence Theorems.
3. Application of General Inverses.
   • More on Caustic Curve-From Strong Art to Caustic Curves: Envelopes in Symbolic Geometry (by Philip Todd)
   • A video about caustic curve by Phillip Todd.
   • Curve Simulator (finding caustic and orthotomic curves)
   • Parametric surfaces.
4. Shrinking Sphere Problem
5. Solving a Probability Problem from Calculus Approach.
   • Finding max/min for a three variable function.
6. Eigenvalue and Markov Chain Problems.
7. Proof of Cauchy Mean Value Theorem
8. Three Ladder Problem.
   • One ladder (ClassPad)
   • Two ladders (Dr. Gerlach's eJMT paper)
   • Three ladders (Drs. Yang and Matthias joint eJMT paper)
9. Explore Uniform Convergence And Continuity Graphically.
10. Explore A Nowhere Differentiable Function Graphically.