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Math 313 - Functions of a Complex Variable (Fall 2019)

TR 9:55-11:10, McGregory 210

Student Final Presentations (T 12/10 & R 12/12): Poster with schedule; Abstracts

• Instructor: Joe P. Chen


• Contact: 214 McGregory, jpchen@(the obvious suffix).


• Syllabus (pdf)


• Course synopsis: This is a course devoted to the calculus of complex-valued functions on the complex plane. The "entree" of the course is a unified treatment of differential and integral calculus of analytic (resp. meromorphic) functions: the Cauchy-Riemann equations, Goursat's theorem, Cauchy's integral formula, the residue theorem, etc. Along the way we will enjoy some "accoutrements," in the form of various applications to real analysis, partial differential equations (in 2 spatial dimensions), number theory, geometry, dynamical systems, and quantum physics. Students will be expected to give a presentation on a special topic at the end of the course.


• Prerequisites: This being an upper-level math course, it is expected that at the minimum you have a solid background in the entire calculus sequence (MATH 161-162-163).


• Textbook: Brown & Churchill, Complex Variables & Applications (any recent edition suffices).


• Optional reference (placed on course reserve at the Cooley Science Library): Saff & Snider, Fundamentals of Complex Analysis; Needham, Visual Complex Analysis; Wegert, Visual Complex Functions: An Introduction with Phase Portraits.


• Additional materials and announcements are posted on the Colgate Moodle site.

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