Math 22C---Introduction to Linear and Nonlinear PDE:



  • 1-Introduction to Partial Differential Equations

  • 2-Motivations from the Theory of ODE's

  • 3-Existence and Uniqueness Theorem for ODE's

  • 4-The Wave Equation

  • 5-Linearizing Equations About Rest Points: The Speed of Sound, the Speed of Light, and the Difference Between Them

  • 6-Energy Methods and the Energy of Waves

  • 7-The Nonlinear Wave Equations and the Interaction of Waves

  • 8-Simple Waves and the Nonlinear Theory of Sound

  • 9-Shock-Waves and the Riemann Problem

  • 10-Maxwell's Equations, Stokes Theorem, and the Speed of Light

  • 11-Applications of the Divergence Theorem