Topics in Elementary Math
Complex numbers have played an instrumental role in the development of modern math. Whether a (pure) mathematician is working with analysis, algebra, combinatorics, geometry, number theory, etc., he/she must have been using complex numbers to some extent. One can thus claim that working with complex numbers or not distinguishes pure mathematicians from their applied counterparts, who are rarely counted as mathematicians in academics.
In this course, we will take a brief glance at the fruitful aspects of complex numbers, particularly from the viewpoint of functions. The course will cover the following five major topics:
As well as the following bonus topics:
Remark: Bilingual lectures. Acquaintance with limits and derivatives highly demanded.