Class schedule, Math 428, Winter 2013
For the first three weeks or so, we will pick up several skipped topics from
chapters 2 and 6 and finish chapter 7, in the following order:
- Chapter 6, §75.
- Chapter 2, §§27-28 (which need a theorem from §75).
- Revised order: Chapter 7, §§82-84, then Chapter 6, §77,
then Chapter 7, §§86-89.
Then we'll spend about four weeks on chapters 8-10: conformal mapping and
basic applications. The rest of the quarter we'll look at more specialized
topics in conformal mapping (end of chapter 10 and chapters 11-12)
and/or other topics to be determined.
CURRENT ANNOUNCEMENTS: [date posted]
Daily schedule. Most future information subject to
change. Except for the final exam and university holidays, the further
away the date, the more tentative the information.
- M 1/7: Course intro: see information on all the links
on class homepage. §75.
- W 1/9: §§75, 27.
- F 1/11: §§28, 82-83.
- M 1/14: §§83-84.
- W 1/16:
Homework Assignment 1 (revised) due. §§77, 86.
- F 1/18: §§86-87: stated generalization of Rouche's
Theorem from Mathews & Howell (in library not on reserve, also
I have a copy).
- M 1/21: Martin Luther King Holiday, no classes.
- W 1/23: proof of generalized Rouche's theorem; §88.
- F 1/25: HW 2 due in class, or my office before 4 (I will not get
back to my office after class until about 3:45). (See
HW info page
for assignment). Wrap up §§88-89; start Chapter 8?
- M 1/28: Catchup and review; some of chapter 8.
Office hours: first 10:30 Monday office hour; today-only shift of
2:40 office hour to about 3:40-4:30.
- Tu 1/29: extra office hours for midterm, 1:30-2:20 and 4-5.
- WEDNESDAY 1/30: Midterm 1.
Test info.
- F 2/1: §§92-93.
- M 2/4: §§101-102, 95.
- W 2/6: §§ 96-97, 103-104.
- F 2/8: HW 3 due in class, or my office before 4. (See
HW info page
for assignment).
Introduction to Chapter 10 as motivation for §§105-106,
and those sections.
After class at 2:30:
Math Across Campus talk
"Math Meets Muscle" by Tom Daniel, Kane 210.
- M 2/11: §§107-108.
- W 2/13: §108.
- F 2/15: HW 4 due; §109.
- M 2/18: President's Day Holiday, no classes.
- W 2/20: §§109-111.
- F 2/22: HW 5 due; §§112-114.
- M 2/25: §§113-114 (not on midterm).
- W 2/27: Review.
- F 3/1: Midterm 2.
Test info.
- M 3/4: §§113-115.
- W 3/6: Midterm review and discussion; §115.
- F 3/8: HW 6 due in class, or my office before 4.
Wrap up §115 and start Chapter 11.
- M 3/11: §§117-119.
- W 3/13: §§120-121, intro to the Poincare half-plane
model of the hyperbolic plane.*
- F 3/15: HW 7 due in class, or my office before 3:30.
More on Poincare half-plane; review.
- Sunday, March 17: Office hours 3:30-5.
- Final Exam: Mon. March 18, 2:30-4:20.
Test info.
This date and time are assigned
by the university and cannot be changed.
*References if you want to learn more about this topic:
Visual Complex Analysis, by Needham (on reserve), and
Experiencing Geometry, by David Henderson (later editions,
Henderson and Taimina).
Homework information: Assignments, solutions, and guidelines.
Return to the
Math 428 Homepage.
Most recently updated on March 15, 2013