[Note: For the MAT 4010 syllabus, please go here.]
Prerequisite: Math 3220 (real analysis) or permission of the instructor. Math 2130 (calculus 3) is preferred but not required.
Texts: We will have two primary texts for this course:
Web Page: My webpage is located here:
https://mathsci.appstate.edu/~cookwj
and
our course webpage is located here: https://mathsci.appstate.edu/~cookwj/courses/math4010-spring2018.
Meeting times: We meet Mondays from 5:00pm until 7:30pm in Walker 308.
Note: I am not a fan of meeting once a week for 2 and a half hours. This class was originally scheduled this way to accomodate
some potential online students. It looks like none of these students have signed up. Thus our first order of business during our first
meeting will be to renegotiate our meeting time(s).
Final Exam: Our final exam will be held in our regular classroom (Walker 308) on Monday, May 7th from 5:00pm until 8:30pm.
Lecturer:
| Name: | Dr. William (Bill) Cook | |
| Office: | Walker Hall 347 | |
| Office Hours: |
Monday 10-11am Tuesday, Wednesday, & Friday 9-11am (Other times by appointment) |
|
| Phone: | (828) 262-2367 | |
| Email: | cookwj@appstate.edu | |
| Webpage: | https://mathsci.appstate.edu/~cookwj |
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 current 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.
Given this is my first time teaching complex variables and given the uncertainty of our eventual meeting times, I will
temporarily forego posting a tentative schedule.
NOT POSTED (for now) -- A tentative (albeit very very inaccurate) course schedule can be found at:
https://mathsci.appstate.edu/~cookwj/courses/math4010-spring2018/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. I have not attempted to fix dates for these tests presently. 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 except you to come to class and participate in discussions. I may periodically ask (especially grad students) 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:
|
Differences between 5160 and 4010: This course is dual listed with Mat 4010. We have the same meeting times. However, your exams will include extra problems (most likely given as a take-home portion of the exam) and most homework assignments will include additional problems just for 5160 students. In addition, I will hold your presentations and presentation handouts to a higher standard. (Don't you feel special?)
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.