4.1 Sinusoids and Physical Systems4.2 Definitions and Interpretation4.3 Convergence of the Fourier Series4.4 Fourier Series Properties and Theorems4.5 The Heat Equation4.6 The Vibrating String4.7 Antenna Arrays4.8 Computing the Fourier Series4.9 Discrete Time Fourier Transform4.10 SummaryProblemsNotes