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MATH-203(b): Analysis III

Summary

Le cours étudie les concepts fondamentaux de l'analyse vectorielle et l'analyse de Fourier en vue de leur utilisation pour résoudre des problèmes pluridisciplinaires d'ingénierie scientifique.

Lectures

Instructor

David Valentin Strütt

Official source

https://edu.epfl.ch/coursebook/en/analysis-iii-MATH-203-B

Moodle Page

http://go.epfl.ch/MATH-203_b

About this result

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Summary

Le cours étudie les concepts fondamentaux de l'analyse vectorielle et l'analyse de Fourier en vue de leur utilisation pour résoudre des problèmes pluridisciplinaires d'ingénierie scientifique.

Lectures

Instructor

David Valentin Strütt

Official source

https://edu.epfl.ch/coursebook/en/analysis-iii-MATH-203-B

Moodle Page

http://go.epfl.ch/MATH-203_b

About this result

Lectures in this course (32)

Differential Operators: Vector Analysis Log in to Mediaspace to watch this video

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

Vector Calculus: Divergence and Notation Log in to Mediaspace to watch this video

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

Regular Surfaces: Painting with Normal Vectors Log in to Mediaspace to watch this video

Explores regular surfaces and painting with normal vectors, integral calculations, symmetries, and surface orientation.

Divergence Theorem: Green Identities in R² Log in to Mediaspace to watch this video

Explores the divergence theorem and corollaries related to Green identities in the plane, demonstrating their application through examples.

Surface Orientation: Parameterization and Edge Configuration Log in to Mediaspace to watch this video

Covers the parameterization of surfaces and the orientation of surface edges, emphasizing the importance of selecting the appropriate orientation and configuration.

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