Analysis IV

Summary

This course is an introduction to the theory of complex analysis, Fourier series and Fourier transforms (including for tempered distributions), the Laplace transform, and their uses to solve ordinary and partial differential equations.

Content

Learning Prerequisites

Required courses

Linear Algebra, Analysis I, Analysis II, Analysis III

Important concepts to start the course

Important concepts to master

• Usual derivatives and derivation rules
• Common primitives and integration techniques (IPP, substitution)
• Taylor series and analytic functions
• Complex numbers (definitions, Euler's identity, complex exponential)
• Fourier series and transforms
• Linear differential equations

Assessment methods

Exam written

Resources

Bibliography

Bibliographie

B. Dacorogna et C. Tanteri, Analyse avancée pour ingénieurs, PPUR 2018.

Ressources en bibliothèque

• Analyse avancée pour ingénieurs / Dacorogna

Moodle Link

• https://go.epfl.ch/MATH-207_c