HUNTERTUTORING

Fourier series

Fourier analysis & transforms · STEM / applied

Orthogonality of sine and cosine functions on intervals

Objectives

  • Orthogonality of sine and cosine functions on intervals
  • Fourier series for periodic functions; coefficients and convergence
  • Even and odd extensions; sine and cosine series
  • Parseval's theorem and energy interpretation
  • Gibbs phenomenon and convergence at discontinuities

Study materials