MATH 6720-01 — Applied Complex Variables and Asymptotic Methods


Spring 2024


Instructor: Akil Narayan
Email: akil(-at-)sci.utah.edu
Office phone: +1 801-581-8984
Office location: WEB 4666, LCB 116
Office hours: Wednesdays 11am-12pm (LCB 116), and Thursdays 1pm-2pm (WEB 4666)


Class meeting time: Monday, Wednesday, Friday 9:40am - 10:30am
Class meeting location: LCB 323


This course is an introduction to the theory of complex variables and its applications and to asymptotic methods

The course syllabus is here: PDF



The content of this course is split across this website and Canvas. The material available on this website is:
  • Course syllabus
  • Homework assignments
  • Miscellaneous handouts and links to software
The material available on Canvas is:
  • Course syllabus
  • Homework assignments and submission portal (Gradescope)
  • Course notes
  • Grading results

Graded assignments


Individual grades for each assignment will be posted to Canvas. (uNID login required.) Note that the letter grades appearing on Canvas are not representative of predicted final letter grades for the course. Final letter grades will be computed according to the rubric and policies on the syllabus.



Homework assignments


Late work will not be accepted without advance approval from the instructor.

Problem set description Due date Homework
1 : Preliminaries January 19, 2024 PDF
     Key and solutions PDF
2 : Analytic functions February 2, 2024 PDF
     Key and solutions PDF
3 : Complex Integration February 16, 2024 PDF
     Key and solutions PDF
4 : Laurent Series February 23, 2024 PDF
     Key and solutions PDF
5 : Residue Calculus, I March 15, 2024 PDF
     Key and solutions PDF
6 : Residue Calculus, II March 29, 2024 PDF
     Key and solutions PDF
7 : Asymptotic Methods April 19, 2024 PDF



Miscellaneous handouts


The following are various relevant handouts.

Description Posting date Download
Midterm formula sheet February 20, 2024 PDF
Final exam formula sheet April 16, 2024 PDF