Table of Contents:
  • Chapter 1. A first look at modeling
  • Chapter 2. Analytical tools: the solution of ordinary differential equations
  • Chapter 3. The use of mathematica in modeling physical systems
  • Chapter 4. Elementary applications of the conservation laws
  • Chapter 5. Partial differential equations: classification, types, and properties — some simple transformations
  • Chapter 6. Solution of linear systems by superposition methods
  • Chapter 7. Vector calculus: generalized transport equations
  • Chapter 8. Analytical solutions of partial differential equations.