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: M 2pm and F 1pm
TA: Tomoki Oda tomokioda0723
at math dot ucla dot edu, Office Hours: Tu 1pm @ MS 3955
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: Tu or Th 11-11:50am @ MS
5128 (Note: the location has
changed!)
Topics
- Introduction to complex numbers
- Differentiation and holomorphic functions
- Integrating holomorphic functions, Cauchy's theorem, and
Cauchy integral formula
- Power series
- Calculus of residues and evaluating integrals
Textbook: Gamelin, Complex Analysis (ISBN:
9780387950693). You might find the following guide to
reading Gamelin useful:
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. [Clarifying
note (1/29/26): No quizzes will be dropped in this course.]
Midterm: 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
If you are already registered with the Center for Accessible Education
(CAE), please request your Letter of Accommodation in the
Student Portal. If you are seeking registration with the CAE,
please submit your request for accommodations via the CAE
website. Students with disabilities requiring academic
accommodations should submit their request for accommodations as
soon as possible, as it may take up to two weeks to review the
request. For more information, please visit the CAE
website, visit the CAE at A255 Murphy Hall, or contact
them by phone at (310) 825-1501.
Please note that CAE and the instructor can support only
reasonable accommodations. In particular, remote proctoring by
either CAE or the instructor will not be supported for any exam
or quiz administered in this class.
WARNING: The course syllabus provides a
general plan for the course; deviations may become
necessary.
Last modified: January 29, 2026.
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