MATH-203(b): Analysis III

Lectures in this course (31)

Covers differential operators, vector analysis, Fourier analysis, and potential fields with applications to gravity.

Explores divergence in vector fields, Laplacian notation, and proof for scalar and vector Laplacians.

Covers regular curves and constant speed, with examples of circles and helices.

Explores the Dirichlet theorem for deriving Fourier series of continuous functions.

Explores the Fourier Transform inversion formula and its applications in signal processing.

Explores the geometric interpretation of line integrals in altimetric profiles of cycling stages.

Explores fields deriving from a potential, emphasizing integral and linear aspects.

Covers guided exercises on inverse functions and the composition of functions.

Covers the derivation of a field from a potential and explores convexity.

Covers the convolution product of functions and the concept of radioactive decay.

Explores potential derivatives, Green theorem, simple curves, and adherence in open domains.

Explores the convolution product with examples of radioactive exchange and inversion formulas.

Covers the Fourier transform inversion formula with examples and exercises for verification.

Covers the demonstration of Green's Theorem and its applications in various scenarios.

Explores the application of Green theorems in 2D and 3D spaces.

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