Topics
# Topics Covered in Math 503

###
We will draw material from all chapters of the text

Theory of Complex Functions

by Reinhold Remmert,
Springer-Verlag , 1991, ISBN 0-387-97195-5

### Topics:

- complex functions and continuous functions

- complex differential calculus

- holomorphy and conformality

- modes of convergence, power series

- transcendental functions

- complex integral calculus

- integral theorems and power series development

- consequences of the integral theorems

- meromorphic functions

- Laurent series

- residue calculus and its application to definite integrals

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