Tuesdays 10:15 - 11:45
Wednesdays 1:15 - 2:45
TTh
12:30 - 14:00
3 Evans
We will be using Stein and Shakarchi's Complex Analysis.
All material relevant to the course will be covered in lecture, and assignments will be posted on the course website. The course textbook is an optional resource. I have entered a request for a copy to be placed on reserve in the mathematics library. Additionally, you can access the book electronically through the library here.
Some other books used for Math 185 in past include:
Those published by Springer can be downloaded for free while you are on campus.
The official course description can be found here.
The goal of this course is to give a theoretically-focused introduction to the analysis of functions of a single complex variable. We will discuss many topics throughout the course including holomorphicity/analyticity of complex functions, singularities of complex functions, and integration theory for complex functions. If time permits we will develop the theory of conformal mappings. This course is meant to give a thorough and rigorous treatment of these topics while at the same time developing them at a pace that is accessible and gives the student time to understand the different concepts.
My aim is to foster an open and inclusive atmosphere in class. Therefore questions, participation, collaboration, and curiosity are strongly encouraged. Math can be hard, especially when we aren't honest with ourselves about whether or not we understand something. Confusion is not a sign of weakness, nor is asking for help. If you need help beyond class time and office hours, please do not hesitate to contact me so that we can work out additional times to meet.
Homework assignments will be posted on the course webpage, and will be collected at the beginning of lecture on Thursdays. There will be an assignment due most weeks of the course, with some exceptions due to holidays and the midterm. No late homework will be accepted. Your lowest 2 homework scores will be automatically dropped.
Collaboration is strongly encouraged; you should be working with your peers to understand and solve the homework problems. However, your written proofs must clearly be your own, and indicate that you understand the argument.
The course will have one in-class midterm examination, on March 3rd. No make-up exam will be offered, but see the grading policy below. Please check early in the semester to make sure you have no conflicts with the exam.
The final exam will be on Thursday May 14th from 15:00 - 18:00. You must take the final exam to pass the course. Please bring your Cal 1 Card to the final exam.
There are two grading schemes offered, and I will automatically select the one which gives you the better grade. They are as follows:
| Homework | Midterm exam | Final exam | |
|---|---|---|---|
| Scheme 1: | 20% | 35% | 45% |
| Scheme 2: | 20% | 0% | 80% |
The bCourses site will be used to maintain a gradebook for the course. If you believe there is an error with the grading of any course material, you must notify me within 14 calendar days of when it was completed; otherwise your complaint will not be given further consideration. The general course policies of the University of California, Berkeley may be found here.
UC Berkeley complies with the regulations of the Americans with Disabilities Act of 1990 and offers accommodations to students with disabilities. If you are in need of classroom or testing accommodations, please make an appointment with the DSP office to discuss the appropriate procedures. More information is available on their website.