640:403 - Introductory Theory of Functions of a Complex Variable

Section 01, Spring 2025

Anders Buch (asbuch ⊗ math • rutgers • edu)

Resources:

Web sites:

Course web site http://sites.math.rutgers.edu/~asbuch/complex_s25/

Canvas site (exam scores and announcements)

Text:

Stephen D. Fisher, Complex Variables (2nd edition)

Lev A. Borisov, Notes on the Gamma and Zeta functions

Lectures:

Tuesday and Thursday 7:30-8:50 PM in LSH-B109 (Livingston)

Office hours:

After class until everyone leaves.

Syllabus

Practice Problems

David Bau's Complex Function Graph Viewer (Short explanation)

Grading:

Midterm 1, Tuesday February 20 in class, 22%

Midterm 2, Tuesday April 3 in class, 22%

Final Exam, May 4, 8-11 AM, 44%

Weekly Homework, 12% total.

All exams are closed-book, with no calculators or formula sheets allowed. You may be asked to do calculations, state theorems and definitions, prove statements, and anything else that is relevant for this subject.

There are no makeups for missed midterm exams, regardless of the reason. However, if you cannot attend a midterm due to a valid reason, for example a medical emergency, the rest of your exam scores will be scaled to compensate for the missed test. If you have missed or are about to miss a midterm, you should contact me as soon as possible.

Grades are given according to the total scores, with the distribution of grades likely to mimic historical distribution of grades for this course. Improvement towards the end of the semester is not reflected in the semester grade. Two people with the same total scores will receive the same grade, regardless of who did better at the end of the semester.

Midterm 1:

Thursday February 20 in class.

Closed-book exam, no calculators, no formula sheet.

Midterm 2:

Thursday April 3 in class.

Closed-book exam, no calculators, no formula sheet.

Final exam:

Date TBA

Closed-book exam, no calculators, no formula sheet.

This exam is cumulative.

Homework Policy:

(1) Late homework is not accepted.

(2) It is fine to discuss the problems with others, but write-ups must be individual. If you have received help for solving a problem, then cite your source(s).

(3) Regard a homework problem as an essay with rigorous mathematical content. Explain what you do without making your explanation longer than necessary. Write neatly. Use punctuation. It is your responsibility that whoever reads your work will understand and enjoy it!

Assigned homework sets will show up on this course web site.

Assigned homework:

Homework 1:

TBA