MAA 4402: Functions of a Complex Variable

and MAA 5404: Introduction to Complex Variables for Engineers and Physical Scientists

Fall 2009

The URL for this page is
` http://www.math.ufl.edu/~groisser/classes/4402-5404_f09/homepage.html
`.

Most handouts and other information will be available via links
from this page and/or the syllabus page.

- Syllabus
- Homework assignments
- Tentative schedule of lectures and exams
- Other handouts (if and when there are any)
- Grade scales. (Updated periodically, this page will usually be current through most recent exam, and will not exist till after the first exam.)
- Dr. Groisser's office hours

## About this course

This is a first course in complex analysis, which means the calculus of functions of a complex variable. We learn that complex-differentiability has astounding consequences that real-differentiability does not. This leads to a beautiful and rich theory with many applications.While some theorems and proofs will be presented in the course, they will be presented as a means for the student to understand the material, rather than for the sake of rigor. Students will not be expected to exhibit the proof-writing skills that are needed for courses having MAS 4105 (Linear Algebra) as a prerequisite. However, students may be required to do elementary proofs, such as establishing that a formula is correct.

## Prerequisites for this course

Grade of C or better in MAC 2313 (or MAC 3474) and in MAP 2302.

## Why does this course have two numbers and names?

MAA 4402/5404 is one of UF's many "piggy-back" courses, in which some students are registered under an undergraduate number, and some under the graduate number. This arrangement is common at UF for courses that are appropriate for both advanced undergraduates and graduate students; it would not be cost-effective to run two nearly identical courses, segregated by graduate/undergraduate status. Since many graduate students cannot get credit for courses with an undergraduate number (4999 and lower), a graduate number (5000 or higher) is needed to accommodate them. But tuition is higher for graduate-numbered courses than for undergraduate-numbered courses, so it's desirable to have an undergraduate number for the undergraduates wanting to take the course. Hence the piggy-back arrangement.However, state accreditation rules prohibit the University from offering the same course under two different numbers, and therefore either the material covered or the requirements must be different for the two groups of students. So, in the syllabus, you will see that the 5404 students have some requirements that the 4402 students do not. Note that what matters for these purposes is only the

course numberyou are registered under, not whether you actually are an undergraduate or graduate student.