Module Title
Complex Functions

Module Level
Level 2

Module Credits
5.00

Academic Year
2021/22

Semester
SEM1

To introduce the student to a theory having intimate connections with other areas of mathematics and physical sciences, for instance, ordinary and partial differential equations and potential theory.

A. Appreciate the central role of complex numbers in mathematics.

B. Be familiar with classical holomorphic functions.

C. Compute Taylor and Laurent series of such functions.

D. Understand the content and relevance of relevant Cauchy formulae and theorems.

E. Be familiar with the reduction of real definite integrals to contour integrals.

Students will be expected to attend formal lectures and supervised tutorials in a typical week.