Course Overview

This course introduces theories for functions of a complex variable. Students will acquire skill to use complex derivatives function, to have knowledge about integration in the complex plane, use of Cauchy integral theorem, power series, to evaluate complicated real integrals via residue calculus, etc.

Learning Achievement

This course introduces theories for functions of a complex variable. Students will acquire skill to use complex derivatives function, to have knowledge about integration in the complex plane, use of Cauchy integral theorem, power series, to evaluate complicated real integrals via residue calculus etc.

Competence

Related to 1. Mathematical logic and calculation skills.

Course prerequisites

Students should have completed at least Calculus I and Calculus II.

Grading Philosophy

Class Quiz+ Homework 60%
Final Exam 40%

Course schedule

Complex Numbers and Complex Planes
Functions of Complex Variables, Differentiation
Elementary Functions
Integrals
Cauthy Integral Formula
Series
Cauthy's Residue Thorem and Poles
Mapping by Elementary Functions
The Schwarz-Christoffel Transformation
Multivalued Function

Course type

Lectures

Online Course Requirement

Instructor

TRAORE ABOULAYE

Other information

Site for Inquiry

Link to the syllabus provided by the university