Prerequisites: MATH2202, Multivariable Calculus; MATH2210, Linear Algebra; and MATH2216, Introduction to Abstract Mathematics.
This course gives an introduction to the theory of functions of a complex variable, a fundamental and central area of mathematics. It is intended for mathematics majors, mathematics minors, and science majors.
Topics covered include complex numbers and their properties; analytic functions and the Cauchy–Riemann equations; the logarithm and other elementary functions of a complex variable; integration of complex functions; the Cauchy integral theorem and its consequences; power series representation of analytic functions; and the residue theorem and applications to definite integrals
Syllabus: Click here.
Homework: First assignment not available.
Examinations:
- Wednesday, September 24.
- Monday, October 27.
- Friday, December 5.
- Final examination: Friday, December 12, 12:30PM.