MATH-203(a): Analysis III (for SV, MT)

Lectures in this course (35)

Explores orientable surfaces, scalar field integrals, and practical applications through examples with a sphere and a cone.

Covers surface integrals, divergence theorem, and regular domains in 2D and 3D.

Covers surface integrals, the divergence theorem, and Stocks' theorem through examples and analogies.

Delves into volume computation using the divergence theorem and surface boundaries, with applications in computer graphics.

Introduces Fourier series for periodic functions and explores Stokes' theorem in 3D vector fields.

Introduces Fourier series, explaining their approximation properties and convergence, along with the Dirichlet theorem and coefficient computation.

Delves into Fourier series theory, computation, and comparison with functions using the Dirichlet theorem.

Explores Fourier series, Dirichlet theorem, and convergence properties in periodic functions.

Explores Fourier series properties and examples, showcasing their application to continuous and discontinuous functions.

Explores the theory and applications of Fourier series, including convergence properties and piecewise-defined functions.

Covers the definition and properties of the Fourier transform, demonstrating its utility in solving differential equations efficiently.

Explores the properties and applications of the Fourier transform for solving differential equations.

Covers the Fourier series and its applications in heat diffusion problems.

Explores the application of Fourier series and the challenges of using multiple methods to solve problems.

Covers the solution of a mock exam for Analysis III, focusing on Fourier coefficients and vector fields.

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