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Department of Mathematics College of Liberal Arts and Sciences

Complex Analysis MAA 4402 Fall 2025

Class Number: 25947   Term: Fall 2025

Instructor, Office and Office Hours

Eric Evert

Text

Churchill and Brown, Complex Variables and Applications, 9th Edition, McGraw-Hill. Other editions may work too.

Course Content and Objectives

Complex numbers, analytic functions, Cauchy–Riemann equations, harmonic functions, elementary functions, integration, Cauchy–Goursat theorem, Cauchy integral formula, infinite series, residues and poles, conformal mapping.

Objectives include mastery of the course content and writing clear, complete, and logical solutions of problems involving functions of a complex variable.

Suggested Problems

Selected problems from the text will be assigned on a daily basis.

Attendance and general participation

There will be 12 points for attendance and general participation. This includes (1) Showing up to class on time on a regular basis and attending the entire class. (2) Asking for clarification if you do not understand a concept or assignment. (3) Maintaining the appearance that you are paying attention in class. At the end of the semester you will have the opportunity to tell me what your general participation grade should be, based on these criteria.

Quizzes

There will be three 10-point quizzes during the last 15 minutes of class on the following days:

  • Quiz 1: Monday 8 September
  • Quiz 2: Monday 6 October
  • Quiz 3: Monday 10 November

Makeup quizzes (documentation required) will be given during the time reserved for a final exam.

Exams

There will be three 36-point exams on the following days:

  • Exam 1: Friday 19 September
  • Exam 2: Friday 24 October
  • Exam 3: Monday 1 December

Makeup exams (documentation required) will be given during the time reserved for a final exam.

Grading

A course total will be computed by adding the exam and quiz scores (total 150). Grades will then be assigned according to a straight scale:

  • 135 A, 130 A-, 125 B+, 120 B, 115 B-, 110 C+, 95 C, 90 D

See the current UF policy on assigning grade points.

Correspondence

In accordance with University policy, all written communication should be through Canvas messaging.

Tentative weekly schedule

Complex Numbers — two weeks

Analytic Functions — three weeks

Elementary Functions — two weeks

Series — two weeks

Residues — three weeks

Additional Information:
UF syllabus policy links