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Syllabus
Instructor: Dr. Mark Tomforde Office: 325J MLH Office Hours: MWF 2:30-3:30
Course Description: This course provides an introduction to the theory of functions of a complex variable. Topics include geometry of the complex plane, analytic functions, the Caushy-Goursat Theorem and applications, Laurent series, residues, and elementary conformal mappings. Grades are based on problem sets, two midterm exams, and a comprehensive final exam. Course Prerequisites: 22M:028 or 22M:056 or 22M:109 or consent of instructor Text: Complex Variables and Applications (6th Edition) by Brown and Churchill
Course Web Page: The web page is located at Alternatively, you can go to the math department web page click on "Courses", click on "Courses with Web Pages" and then click on "22M:118". On the course web page you will find the homework as it is assigned, as well as a copy of this syllabus, dates of exams, and a smattering of other things. Note About Office Hours: I encourage you to come by my office if you have any questions, need help with homework problems, or would just like to talk about the material. You are welcome to come see me at times other than my office hours. If I am available, I will be more than happy to talk with you. Grading: The components of the class are as follows Exam 1: 100 points Homework: Homework will be given every week and will be due in class on Monday. Late homework is not permitted for any reason. I will drop your lowest homework grade to allow for missed assignments. Expect to spend at least 3 hours working on homework outside of class for every one hour spent in class. Homework will be listed on the course web page. Exams: There will be three exams: two midterm exams during the semester and one final exam at the end of the semester. All exams will be take-home. These exams must be worked on independently, however, youwill be allowed to use your notes, the course textbook, and old homework; you will also be allowed to talk to the instructor. You will not be allowed to use any other books, or to talk to anyone else about the exams (including the grader). You will have approximately one week to work on the exams. The due dates for the exams are as follows: Hour Exam 1: Due Friday, Oct. 1 in class. Honor Principal: University of Iowa students are expected to adhere to the honor principal. In this course this shall mean the following: Homework can and should be worked on and discussed with others. However, the write-up should be independent. Exams shall be worked on independently. Note to Students: The Department of Mathematics has its offices in 14 MLH. To make an appointment to speak with the chair of the department, call 335-0714 or contact the departmental secretary in 14 MLH. Special Needs: Any student with a disability or chronic health problem for whom special accommodations would be helpful is encouraged to discuss with the instructor the types of assistance that might be offered. You also need to register with the Office of Student Disability Services (SDS). Approximate Schedule: What follows is an approximate schedule of the material we shall cover. Note that in order to be flexible and responsive it is almost certain that from time to time changes will be made to this schedule, or supplementary material may be presented. It is the obligation of the student to be informed of such changes. We will try to cover the following topics in the order they are listed. Preliminaries: Complex Numbers, Analytic Functions, Elementary Functions
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