Syllabus
This is a
qualifying exam course, and as such has
an official
syllabus. As time allows, we will further discuss the prime
number theorem and/or elliptic functions and theta functions. Roughly
speaking, the initial plan is:
- Background on complex numbers (arithmetic and analysis);
- Functions and derivatives;
- Cauchy's Theorem
- Meromorphic functions
- Entire functions
- Conformal maps
Logistics:
- Textbook Complex
Analysis, by Elias Stein and Rami
Shakarchi, Princeton University Press.
- Lectures MWF, 3:00-3:50PM, ENGRG E206.
- Office hours to be announced.
Requirements and other expectations
- Homework 30% Homework will be assigned weekly, and due on
Fridays at the beginning of class. No late homework will ever be
accepted. Your work must be neat, and the pages stapled, in order
to be graded. While you are encouraged to work in groups, the
written work you hand in must be your own. On each assignment
indicate who, if anybody you consulted with.
- Mid-semester exams 40%. There will be two in-class exams,
on Wednesday, March 6 and Monday, April 8. No makeup exam will be given.
- Final exam 30% The final exam will be on Wednesday, May
15, 4:10PM-6:10PM.. This exam will also serve as a departmental
qualfiying exam. Again, no makeup exam will be given. You must pass
the exam in order to pass the course.
University expectations for class behavior in general, and academic
integrity in particular, are detailed
here.
Help
This is challenging material; it's fully expected
that sometimes you'll need a little help.
Questions directed to j.achter@colostate.edu
will be answered swiftly.
However, some questions are best answered in person. You
can come by office hours or schedule an appointment.
This page is available at http://www.math.colostate.edu/~achter/519