MATH 120A

Below is the general information and policy for the course. Some adjustments may be necessary during the quarter.

Professor

Elham Izadi ; office: AP&M 6240 ; phone: 534-2638 ; email: eizadi@math.ucsd.edu ; Office hours: Tuesdays and Thursdays 15:30-16:30
Lectures: Tuesdays and Thursdays 14:00-15:20 AP&M B402A

Teaching Assistant

Scott Fernandez ; office: AP&M 5768 ; phone: 534-9052 ; email: saf003@math.ucsd.edu ; Office hours: Fridays 10:45-11:45 and 15:00-16:00
Sections:
1: Wednesdays 17:00-17:50 AP&M B402A
2: Wednesdays 18:00-18:50 AP&M B402A

Catalogue Course description

Complex numbers and functions. Analytic functions, harmonic functions, elementary conformal mappings. Complex integration. Power series. Cauchy's theorem. Cauchy's formula. Residue theorem.

Prerequisites

Math 20E with a grade of C- or better or Math 31CH with a grade of C- or better

Text

Complex Variables and Applications, by James Ward Brown and Ruel V. Churchill, 9th edition.
The book is clearly written and divided into sections, each devoted to a single primary concept, theorem, or technique. A copy is on reserve in the Geisel library. Please read each section of the book before it is covered in class, and then again afterwards. Here is a list of the sections that we plan to cover each week.

Additional references that could be useful:

Basic Complex Analysis, by Marsden and Hoffman, 3rd edition.
Visual Complex Analysis, by Tristan Needham.

Lectures

Complex analysis is essentially ``Calculus with complex numbers''. We will discuss differentiation, integration and power series representations of functions of a complex variable. Our main interest will be analytic functions, meaning functions that have convergent power series representations. Your questions on any part of the material are always welcome in lectures or in sections.

Homework

There will be weekly homework assignments which will be collected and graded. You are encouraged to work on these problem sets with a small group of other students in the class, but every student should write up his or her own solutions.
Weekly homework will be due on Friday at 17:00. Please put your homework in the drop box in the basement of AP&M labelled Math 120A. Before you submit, please make sure to staple your work and have your name, ID number and section number (1 or 2) written clearly on top of the front page.

No late homework will be accepted. However, the lowest homework grade will be dropped.

Exams

Final Exam: Thursday March 23rd, 15:00-18:00, in APM B402A. As usual, the final exam is cumulative.
Midterm 1: Thursday February 2, in class
Midterm 2: Thursday March 2, in class
No make-up exams will be given (please see the grading policy below in case you miss a midterm). No textbooks, notes, calculators, phones or electronic devices are allowed during exams.
You do not need to bring anything other than a pen or pencil to the exam. We will not use blue books.
Please ensure that you do not have a schedule conflict involving the final examination; you should not enroll in this class if you cannot take the final examination at its scheduled time.

Grading

Your final grade for the course will be the maximum of the following

Homework: 20%, Each midterm: 20%, Final: 40%
Homework: 20%, Midterm 1: 20%, Final: 60%
Homework: 20%, Midterm 2: 20%, Final: 60%
In addition, you must pass the Final Exam in order to pass the course.
Since there are no makeup exams, if you miss an exam then your course grade will be computed with your final exam counting 60%.

Regrade Requests

You midterm exams will be returned to you in discussion section. If you wish to have the grader take a second look at your exam, please attach a note explaining your concern and return the exam to your TA. Regrade requests will not be considered once your exam leaves the room.

Academic Honesty and Integrity

UCSD's code of academic integrity outlines the expected academic honesty of all students and faculty, and details the consequences for academic dishonesty. The main issues are cheating and plagiarism. However, academic integrity also includes things like giving credit where credit is due (listing your collaborators on homework assignments, noting books, webpages, or other resources containing information you used in solutions, etc.).

Homework assignments

Scanned Notes

Syllabus

Practice problems for the first midtern

Topics covered by the first midterm: Sections 1--27 and Section 30

Solutions to the first midterm

Practice problems for the second midterm

Topics covered by the second midterm: Sections 30--57 (note that although the midterm is not cummulative, some of the material from the first midterm will be needed)

Solutions to the second midterm

Practice Problems for the Final Exam

Anouncements for the week of Final Exams:
Scott will hold a review session/office hours on Wednesday March 22nd 14:00-16:00 in APM B402A
Elham Izadi
Last modified: Wed Mar 22 14:20:40 PDT 2017