Prerequisites: Math 3220 (real analysis) and Math 2130 (calculus 3).
Texts: We will have two primary texts for this course:
Web Page: My webpage is located here:
https://BillCookMath.com
and
our course webpage is located here: https://BillCookMath.com/courses/math5160-spring2020.
Meeting times: We meet Monday, Wednesday, & Friday from 10:00am until 10:50am in Walker 308.
Final Exam: Our final exam will be held in our regular classroom (Walker 308) on Wednesday, May 6th from 8:00am until 10:30am.
Lecturer:
| Name: | Dr. William (Bill) Cook | |
| Office: | Walker Hall 347 | |
| Office Hours: |
Monday, Wednesday, & Friday 8am-9am & 11am-12pm Tuesday 8am-10am & 11am-12pm (Other times by appointment) |
|
| Phone: | (828) 262-2367 | |
| Email: | cookwj@appstate.edu | |
| Webpage: | https://BillCookMath.com |
Technology: You are welcome to use any technology at your disposal to complete out of class assignments. No calculators or other computer technology will be allowed on exams or quizzes unless otherwise specified.
Course Topics:
The catalog says, "An introduction to the study of complex variables to include such
topics as line integrals, the Cauchy theorem, the Cauchy integral
formula, Morera’s theorem, and the Laurent series."
My tentative plan is to cover the bulk of chapters I-VII in Gamelin's text along with selected portions of chapters VII-XI.
Some of this material (more or less) corresponds to chapters 1, 2, and 3 in Fisher's text. We will begin by looking at
the field of complex numbers itself. In particular, how its arithmetic relates to 2-dimensional geometry. We then move
into extending functions from a real to a complex variable. Our next topic is analytic functions. Then line integrals
and Cauchy's theorem. With differentiation and integration behind us, we move to series expansions and then to residue
theory. Time permitting we will head off into topics found in the second and third parts of Gamelin's text or topics
drawn from chapters 4 and 5 in Fisher's text.
A tentative course schedule can be found at:
https://BillCookMath.com/~cookwj/courses/math5160-spring2020/schedule.html.
Your term grade will be based on the results of your tests and final presentation as well as your scores on quizzes and homework and class participation. Here is more information about the individual components of your grade:
Tests: There will be two tests. Each test will make up 25% of your term grade. Current dates are very tentative. The actual dates will be negotiated/announced in class. Both tests will likely have a take home portion.
Homework & Quizzes:
I will regularly assign sets of homework problems to be turned in for a grade. We may have a few quizzes (if needed).
I encourage you to work on your homework with your classmates. However, you must write up your solutions yourself.
Do NOT copy your collaborators work and turn it in as your own. The homeworks and quizzes will make up 30% of your term grade.
Participation & Final Presentations:
Instead of having a final exam we will have final presentations. Everyone will pick a topic to present (this topic
will have to be approved and should be something related to what we covered in class). I will require that you create
a nice handout to go with your presentation. We will have presentations during the final exam period.
Also, I expect you to come to class and participate in discussions. I may periodically ask you to
present a homework problem.
Participation as well as your final presentation and handout will make up 20% of your term grade.
Here are the components of the term grade with their weights:
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Attendance: Don't miss class. If you miss class, you are responsible for the material covered during your absence. If you miss a quiz, test/exam, or workshop, you must bring in documentation proving that your absence is excusable or otherwise receive a zero. If a make-up quiz/test/exam is granted, it must be made up before the next quiz/test/exam.
Help! If you need help, please come to my office hours. If you are in Walker Hall and my office door is open, please feel free to stop by and ask questions – even if it's not during my posted office hours.
Fine Print: Copies of the academic integrity code, disability services information, religious observance policies can be found at https://academicaffairs.appstate.edu/resources/syllabi-policy-and-statement-information.