MATH 6720-01 — Applied Complex Variables and Asymptotic Methods


Spring 2023


Instructor: Akil Narayan
Email: akil(-at-)sci.utah.edu
Office phone: +1 801-581-8984
Office location: WEB 4666, LCB 116
Office hours: Mondays 1:30pm-2:30pm (LCB 116), and Thursdays 12pm-1pm (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
  • Course notes
  • Grading results
  • Class Zoom recordings

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
0 : Preliminaries None PDF
     Key and solutions PDF
1 : Analytic functions February 3, 2023 PDF
     Key and solutions PDF
2 : Complex integration February 17, 2023 PDF
     Key and solutions PDF
3 : Series and singularities February 28, 2023 PDF
     Key and solutions PDF
4 : Residue Calculus March 27, 2023 PDF
     Key and solutions PDF
5 : Computing Integrals April 7, 2023 PDF
     Key and solutions PDF
6 : Asymptotic integrals April 25, 2023 PDF
     Key and solutions PDF



Miscellaneous handouts


The following are various relevant handouts.

Description Posting date Download
Midterm formula sheet February 21, 2023 PDF
Final exam formula sheet April 20, 2023 PDF