Fall 2019 - MATH 322 D100

Complex Variables (3)

Class Number: 4038

Delivery Method: In Person


  • Course Times + Location:

    Sep 3 – Dec 2, 2019: Mon, Wed, Fri, 1:30–2:20 p.m.

  • Exam Times + Location:

    Dec 8, 2019
    Sun, 3:30–6:30 p.m.

  • Prerequisites:

    MATH 251.



Functions of a complex variable, differentiability, contour integrals, Cauchy's theorem, Taylor and Laurent expansions, method of residues. Students with credit for MATH 424 may not take this course for further credit. Quantitative.


Complex numbers arise when the familiar arithmetic of the real number system is supplemented by the square root of minus one.  This course will be an introduction to complex analysis, which is a specialized calculus for functions that depend on a complex-valued variable.  At the heart of complex analysis is the class of "analytic" functions, which are defined by their differentiability properties.  The goal of this course is to understand the many amazing properties with which these complex-valued functions are endowed.

The highlights of the course will be: discussions and proofs of the elementary theorems of analytic function theory; series representations of functions; evaluation of complex contour integrals; and geometrical properties of conformal mappings.  

The overlap between complex variable theory with other branches of mathematics includes:  geometry, topology, number theory, combinatorics, computer graphics and Fourier analysis. Various applications of complex analysis from these areas will be discussed throughout the course.


  • Assignments (10 Assignments, Each worth 2%) 20%
  • Midterm (50 minute Midterm) 30%
  • Final Exam (3 Hour Final Exam) 50%
  • *Note: A student MUST obtain a passing grade on the final exam in order to pass the course



REQUIRED: Math 322 will use the Maple TA online assessment that connects through their Canvas class page. There is an access charge through a Maplesoft account (around $25) that students must pay if they enroll in the course. Instructions on how to pay the charge will be explained in class at the start of the semester.


Complex Variables and Applications
Brown; Churchill; Churchill, Ruel V.; Brown, James Ward
9/E, McGraw-Hill 
ISBN: 9780073383170

Registrar Notes:

SFU’s Academic Integrity web site http://www.sfu.ca/students/academicintegrity.html is filled with information on what is meant by academic dishonesty, where you can find resources to help with your studies and the consequences of cheating.  Check out the site for more information and videos that help explain the issues in plain English.

Each student is responsible for his or her conduct as it affects the University community.  Academic dishonesty, in whatever form, is ultimately destructive of the values of the University. Furthermore, it is unfair and discouraging to the majority of students who pursue their studies honestly. Scholarly integrity is required of all members of the University. http://www.sfu.ca/policies/gazette/student/s10-01.html