Complex Analysis University of Bordeaux
This course teaches fundamental concepts of complex analysis and someof its classical applications.
Metric spaces, integration theory, power series
> Intermediate assessment (mark I out of 20, duration 1h30 to 2h40during the semester) and final exam (mark E out of 20, duration 3h inDecember)- final mark I/3+2E/3> Rules and protocol for failures/re-sits is clearly described: incase of failure, student have access to a second exam(mark S)- the final mark is then max(I/3+2S/3,S)
Course content includes: > Holomorphic functions - C-differentiability - Cauchy-Riemann equations link with harmonic functions - Complex power series.> Cauchy Formula - Integral along a regular curve, index - Cauchy's integral> Applications of Cauchy's integral - Maximum Principal - Liouville's Theorem - Isolated zeroes - Removable singularities - Open mapping - Morera Theorem - argument> Sequences and integrals of holomorphic functions - Uniform convergence of sequences of holomorphic functions - Integral of a family of holomorphic functions - Complex logarithm - Riemann Mapping Theorem> Locale theory - Singularities, Laurent series - Residues - Applications to the explicit computation of integrals, Fouriertransforms
Online Course Requirement
Duration: 14 weeksLanguage of instruction: EnglishMode of delivery: Face-to-face teaching
Site for Inquiry
Please inquire about the courses at the address below.
Contact person: Stanislas KupinPhilippe JAMINGPhilippe.firstname.lastname@example.org