Partial Differential Equations

In this last part of the course, we solve problems modeled by Partial Differential Equations (PDEs).

• Introduction to PDEs
  • Air Quality Modeling
  • Diffusion
  • Proposals for Topics of a Project
  • Exercises
  • Bibliography
• Separation of Variables
  • Heat Diffusion
  • Decoupling Space from Time
  • Fourier Series
  • Proposals for Topics of Projects
  • Exercises
  • Bibliography
• Traffic Flow Modeling
  • Counting Cars
  • Speed, Flow, and Concentration
  • Accelerating Traffic Flow
  • Proposal for a Topic of a Project
  • Exercises
  • Bibliography
• Periodic Steady State
  • Systems with Periodic Inputs
  • The Helmholtz Phasor Method
  • An Application
  • Proposals for Topics of Projects
  • Exercises
  • Bibliography
• Modeling Vibrations by Bessel Functions
  • Vibrations
  • The Wave Equation
  • Bessel Functions
  • Proposal for a Topic of a Project
  • Exercises
  • Bibliography