M361: Theory of Functions of a Complex Variable
Announcements
Solutions to the final exam are posted below.
Have a nice holiday!
Basic Information
Professor: Dan Freed, RLM 9.162
Office Hours: Wednesdays 10:30 - 12:00
For more details, see the First Day Handout.
Homework
Homework #1 due September 1
Homework #2 due September 8
Homework #3 due September 15
Homework #4 due September 22
Homework #5 due September 29
Homework #6 due October 6
Homework #7 due October 13
Homework #8 due October 20
Homework #9 due October 27
Homework #10 due November 8
Homework #11 due November 10
Homework #12 due November 17
Homework #13 due November 22
Homework #14 due December 1
Notes
Remarks on functions from the September 8
lecture.
Tests
Brief solutions to Test 1.
Brief solutions to Test 2.
Brief solutions to the final exam.
Additional Readings
Richard Feynman on complex numbers and Euler's
formula.
Roger Penrose on the magic and geometry of
complex numbers.
Roger Penrose on some topics we cover and some
we don't.
J. L. Walsh on the proof of the Cauchy integral
formula.
Visualization Tools
The complex line
Complex maps
Complex Maps via
animations; see also
this link
Yet
another visualization of complex maps
The Complex Derivative
Multivalued Maps
Complex Roots
Complex Exponential
Exponential, Sine, Cosine