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Lecture
Fourier Series: Periodic Functions
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Fourier Series: Periodic Functions and Sine/Cosine Interactions
Covers the Fourier series and interactions between sine and cosine functions.
Fourier Coefficients: Trigonometric Series
Explores Fourier coefficients in trigonometric series, emphasizing even and odd functions.
Fourier Series: Periodic Functions and Calculations
Covers Fourier series for periodic functions and calculations involving Fourier coefficients.
Fourier Series and Equations
Covers Fourier series, periodic functions, and Fourier transforms.
Vibration of Diatomic Molecules
Explores the vibration of diatomic AB molecules and Fourier series, emphasizing equations of motion and Dirichlet's theorem.
Fourier Transform: Analysis IV
Covers the Fourier transform in Analysis IV, discussing Fourier series and solutions for various problems.
Fourier Series: Odd and Even Functions
Explores odd and even functions in Fourier series applications, including half-range series and cosine/sine series.
Integration: Lecture 8
Covers the integration of functions and Fourier series with examples and exercises.
Complex Analysis: Laplace and Fourier Transforms
Discusses complex analysis, focusing on Laplace transforms, Fourier series, and the heat equation's solutions and uniqueness.
Boundary Conditions and Basis Decomposition
Explores boundary conditions, basis functions, and PDE solutions using Fourier and Bessel series.