Syllabus for Honors Complex Variables, Fall 2018

Instructor: Y.P. Lee, JWB 305
Office Hours: MWF 12:40-13:20 and by appointments.
yplee

Lecture
Time. MWF 11:50 - 12:40.
Room. JWB 333.

Course Information
Website: http://www.math.utah.edu/~yplee/teaching/4200f18/
Textbook: Complex Variables, by Joseph L. Taylor. Print ISBN 978-0-8218-6901-7. Errata. (It can be purchased at U Bookstore or at various online sites.)
Dates: Subject: Math. Catalogue Number: 4200. Class Index Number: 1252.
Description: This is an honors class on the complex variables, with emphasis on proofs and rigorous foundations of the subject.
Coverage: We will cover the standard topics: Complex functions and their differentiability, complex integrals, power series, the Cauchy theorem and formulas, residues and applications to evaluating integrals, conformal mappings and applications and selected advanced topics. Since this is an honors course, the pace will be brisk and students are expected to work hard outside the classroom.
Prerequisite: Prerequisites: "C" or better in MATH 3220. Permission code: To get the permission code, please visit mathematics department homepage.

Homework
Homework: Homework will be assigned in class and posted at the class website afterwards. HW assignments are collected weekly on the following Monday (or Wednesday if Monday is a holiday.)
UMail: Students are required to check their UMail accounts for important information regarding this class. (One way is to setup forwarding to your gmail.) When emailing, please put Math 4200 in the subject line. Use Umail whenever possible on private matters. For assistance regarding UMail, please call 581.4000.

Exams (tentative as of 8 August and will be adjusted later.)
Location: JWB 333, the lecture room, unless otherwise announced.
1st Midterm: Wednesday, 12 Sep
2nd Midterm: Wednesday, 3 Oct
3rd Midterm: Wednesday, 7 Nov
4th Midterm: Wednesday, 3 Dec
Final Exam: Thursday, 13 Dec, 10:30-12:30.
(*) Depending on the schedule, 4th midterm exam might be cancelled at the discretion of the instructor.
Note: All exams are cumulative. Only pencils are allowed during the exams. No calculators, computers, books, notes etc.
Important! Please make sure that you can attend all exams. No makeup exam is possible without a documented exceptional reason. In most cases, makeup exam must be authorized by the instructor and be held prior to the scheduled exam date.

Grading Policy
Grades are based on the following scheme: 10% Homeork, 60% for midterm exams, and 30% for the final exam. No alternative scheme unless authorized by the instructor in advance.

Additional Resources: The Math Center offers free tutoring, a computer lab, and study areas for undergraduates. Math Center is adjacent to the LCB and JWB. For information on the hours of the lab or tutoring center, please check on the website: http://www.math.utah.edu/ugrad/mathcenter.html. The univeristy provides low cost Private Tutoring at University Tutoring Services at 330 SSB. There is also a list of tutors at the Math Department office, JWB 233

How to do well in this class? The answer is straightforward and old-fashioned: Prepare for Class, Keep Up, and Do the Homework Problems. The exams will contain at least 80% from material covered in lecturs and homework problems, with little modification. A sure way to get a good grade is to study for the class, and do the assignments as if you are taking the tests, without the help of the book, notes and computers. It also helps a great deal to ask questions during and after the lectures, especially after you have already (p)reviewed the material.

Instructor's comments: The goal of this class is to have students learn the material well and then to give them fair and accurate grades. To achieve this goal, the instructor belives in serious homework problems and hard exams. Serious problems make students learn more and better. Hard exams give a better evaluation of students' learning. In other words, if you are taking this class just to get a passing grade and with no intention to learn, consider taking another class.

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