SYLLABUS – MAA 4402/5404 – FALL 2023

This syllabus is subject to change. Created Friday, August 11, 2023.
Updated Tue Aug 22 13:55:26 EDT 2023.
Updated Mon Sep 11 09:24:46 EDT 2023; Updated Mon Sep 11 14:47:45 EDT 2023



TENTATIVE VERSION

Section Period Meeting Time Room
8436/8442 MWF 6th 12:50 – 1:40pm LIT 221

Dr. Frank Garvan

408 Little Hall
(352) 294-2305
fgarvan@ufl.edu

Office Hours (in person and zoom)

9:00 – 10:00am M, W, F
To arrange a ZOOM MEETING send email to Dr.G. in advance.

Prerequisites

MAC 2313 or MAC 3474, and MAP 2302, both with minimum grades of C.

Textbook

R.V. Churchill and J.W. Brown, Complex Variables and Applications, 9th Edition, McGraw-Hill.

Course Description

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. Credit will be given for, at most, MAA 4402 or MAA 5404.

MAA 5404 Additional Topic: Elliptic Functions (Reading and homework assignment)

Course Objectives and Goals:


  • For the student to master the definitions and theory of functions of a complex variable.
  • For the student to write clear and complete solutions of problems involving functions of a complex variable.

Tentative Weekly Course Schedule


  • WEEKS 1-2: Complex Numbers
  • WEEKS 3-5: Analytic Functions
  • WEEKS 6-7: Elementary Functions
  • WEEKS 8: EXAM 1; Integrals
  • WEEKS 9-10: Integrals (continued)
  • WEEK 11: Series
  • WEEKS 12-13: Residues and Poles
  • WEEKS 14-15: Applications of Residues
  • WEEK 16: EXAM 2

Assessment

Assessment will be based on the following

Daily Quizzes 5%
Bi-Weekly 20 min Quizzes 35%
Exam 1 30%
Exam 2 30%

Short quizzes will be given each day (starting in Week 2). The lowest 3 will be dropped. There will be Bi-Weekly 20 minute quizzes starting in Week 2. Weekly quizzes will be based on homework.

Makeup Exams

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

In Class Exams


  • Exam 1: Wednesday, October 11
  • Exam 2: Monday, December 4

Grading

Grading scale: A 90%; A- 87%; B+ 83%; B 80%; B- 77%; C+ 73%; C 67%; D 60%

Attendance

Attendance counts as part of each Daily Quiz.

Make-up quizzes


  • 3 daily quizzes dropped. 2 weekly quizzes dropped. Proper documentation required.

UF Grading Policies

See THIS LINK

Accommodations for students with disabilities

Students with disabilities who experience learning barriers and would like to request academic accommodations should connect with the disability Resource Center. Getting Started with the Disability Resource Center
It is important for students to share their accommodation letter with their instructor and discuss their access needs, as early as possible in the semester.

Online course evaluation process

Students are expected to provide professional and respectful feedback on the quality of instruction in this course by completing course evaluations online via GatorEvals. Guidance on how to give feedback in a professional and respectful manner is available at https://gatorevals.aa.ufl.edu/students./ Students will be notified when the evaluation period opens, and can complete evaluations through the email they receive from GatorEvals, in their Canvas course menu under GatorEvals, or via https://ufl.bluera.com/ufl/. Summaries of course evaluation results are available to students at https://gatorevals.aa.ufl.edu/public-results.