Fourier series

Learning objectives

  • Learn what a fourier series is
  • Work with some examples, using Mathematica to calculate coefficients
  • Evaluate approximations with a finite number of terms using the  Energy norm (L^2)
  • Derive the heat equation and use fourier series to solve it for temperature distribution in  finite length metal rod (if time allows)

Before class

  • Read Hughes-Hallett section 10.5
  • Ponder Hughes-Hallet questions 10.5:1-5.

In class