Math 132:  Complex Analysis for Applications

Syllabus

This course is an introduction to complex analysis.

Instructor: Ko Honda

  • Office: MS 7919
  • E-mail: lastname at math dot ucla dot edu 
  • URL: http://www.math.ucla.edu/~honda
  • Office hours: Tentatively M 2pm and F 1pm

TA: Tomoki Oda tomokioda0723 at math dot ucla dot edu

Class Meetings: Every week there will be three hours of lecture as well as one hour of discussion.  

  • Lectures: MWF 11-11:50am @ Public Affairs Building Room 1246
  • Discussion section: T or Th 11-11:50am @ Bunche Hall 3170

Topics

  1. Introduction to complex numbers
  2. Differentiation and holomorphic functions
  3. Integrating holomorphic functions, Cauchy's theorem, and Cauchy integral formula
  4. Power series
  5. Calculus of residues and evaluating integrals
Textbook: Gamelin, Complex Analysis (ISBN: 9780387950693)

Prerequisite: Math 32B and Math 33B. Math 131A and some amount of proof-based mathematics preferable.


REQUIREMENTS:  You are responsible for carefully reading the following and being aware of all the requirements.  Please ask questions about anything you don't understand.

Classroom Expectations

I want you to enjoy this class, but please respect my right to teach and your classmates' rights to learn.
  • Please refrain from disruptive behavior (such as unnecessary talking).
  • Laptop/tablet use is restricted to taking notes.  Your cell phones must be turned off (this in particular means you cannot use your cell phones in class).  Also no reading non-class materials during class.
Grading System
  • Almost weekly quizzes: 25%
  • Midterm: 25%
  • Final Exam: 50%
Homework: HW will be assigned daily, but will not be collected. Instead there will be a quiz which is given almost every week on the HW from the previous week.  See the class schedule.  For example, Quiz 1 will be on HW from 1/5, 1/7, and 1/9.  

Midterms:  There will be one in-class midterm exam during the quarter (Monday, February 9).  No makeup midterms will be given.  Any absence on a midterm will result in a score of 0, unless excused.  In case of an excused absence, the final exam grade will replace the midterm grade that is missed.  It is your responsibility to let me know in advance if you will be absent for a legitimate reason, so I can excuse you.  In case of an emergency (e.g., sudden illness), please supply some documentation afterwards (e.g., doctor's note).  If you have any conflicts with the midterm, please come talk to me about it within the first two weeks of class.

Final Exam:  Monday 3/16, 8am-11am

Academic Integrity
The instructor strongly adheres to the University policies regarding academic integrity violations, and will strictly enforce these rules. You are encouraged to review the UCLA Student Conduct Code.

Students with Disabilities 

Any student requesting academic accommodations based on a disability is required to register with the Center for Accessible Education (CAE).

WARNING:  The course syllabus provides a general plan for the course; deviations may become necessary. 

Last modified:  January 1, 2026.