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Lecture
Fourier Series: Odd and Even Functions
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Complex Numbers: Convergence, Equations, and Exponential Functions
Covers convergence of power series, complex equations, exponential functions, and function properties.
Comparison Series and Integrals
Explores the relationship between series and integrals, highlighting convergence criteria and function examples.
Fourier Series: Periodic Functions
Explores Fourier series for periodic functions, emphasizing coefficient calculation and function representation using sine and cosine terms.
Taylor Series: Basics and Applications
Introduces Taylor series, covering their basics and applications in approximating functions and calculating limits.
Complex Analysis: Laplace and Fourier Transforms
Discusses complex analysis, focusing on Laplace transforms, Fourier series, and the heat equation's solutions and uniqueness.
Symmetries of Trigonometric Functions
Explores the symmetries of trigonometric functions, periodicity, and properties of even and odd functions.