Dr. Frank Garvan

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

Office Hours (in person and zoom)

Monday 4th Period (10:40-11:30am),
Wednesday 8th Period (3:00-3:50pm), and Friday 6th Period (12:50-1:40pm).
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.
Students are expected to read the relevant sections of the text in preparation for class and to supplement the material covered in lectures. Reading examples in the textbook is important preparation for doing homework.

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, complete and logical 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 8-10: Integrals
  
• WEEK 11: Series
  
• WEEKS 12-13: Residues and Poles
  
• WEEKS 14-15: Applications of Residues

Homework

Homework will be assigned weekly, and should be uploaded in CANVAS. Doing all the homework is essential for success in this class as the exams test your conceptual understanding of the homework assignments. Some homework problems involve elementary proofs. The solution to all homework problems should be clear, logical and complete. Students are encouraged to check their work with their instructor. See Tokens below.

Assessment

Assessment will be based on the following

Exam 1	32%
Exam 2	34%
Exam 3	34%

Makeup Exams

Makeup exams (documentation required)
will be given during the time reserved in Exam Week:
Tuesday, April 30: 10:00 AM – 12:00 PM

In Class Exams

• Exam 1: Friday, February 2
  
• Exam 2: Friday, March 8
  
• Exam 3: Monday, April 22

Grading

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

Green and Pink Quizzes:

Each regular class begins with a Green Quiz,
this is a short, no-stakes quiz which is usually based on material
from the prior class. The Green Quiz is not graded but a solution
will be provided. Each regular class ends with a Pink Quiz. The
Pink Quiz provides an opportunity to ask questions about class
material. Dr. Garvan gathers the Pink Quiz questions from the entire
class and creates an answer sheet which is then posted to CANVAS.

Tokens:

There are 3 ways to earn a Dr. G token: 1) attendance
(white token), 2) coming to office hour (red token), and 3)
submitting homework (blue token) to CANVAS by 11:59 pm on each
Thursday when it is due. Attendance and Homework tokens can be
picked up during class. Office hour tokens are given when a student
attends an office hour. Tokens can be redeemed after each exam for
the opportunity to redo ONE of the four exam questions. For Exam 1 a student
needs 6 white attendance tokens, 1 red office hour token, and
2 blue homework tokens in order to redo an exam question. Tokens
cannot be “rolled over”, e.g., tokens to redo a question from
Exam 2 must be earned in the period after Exam 1 and prior to Exam
2. Tokens may NOT be shared with other students.

Friday In-Class Homework Session:

A portion of Friday’s class
will be devoted to working in small groups to collectively check
the week’s homework assignment. Homework will not be graded, but
through the review process at the Friday In-Class Homework Session,
it will be checked for correctness.

Attendance

Attendance is strongly recommended.

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.