Complex Analysis for Applications

**Instructor: **Terence
Tao, MS 5622, ph. 206-4844 (tao@math.ucla.edu)

**Lectures: **MWF 11-11:50 am, at MS 5138

**Sections: **Thu 11-11:50am, at MS 5138

**Office hours: **Tu 11-12 F 1-3

**TA: **Hsin-Tai
Wu, MS 3915E (htwu@math.ucla.edu)

**TA Office hours:** Thu 2-4

**Textbook: ***Fundamentals of Complex Analysis for
Mathematics, Science, and Enginerring*, E.B. Saff and A.D.
Snider, Second Edition. Prentice Hall, 1993. We will be following
the official syllabus closely, but the presentation will probably
differ slightly from that in the textbook. It's a good idea to
read the textbook concurrently with the course for a second
opinion.

**Homework: **Homework will be collected and returned every
Thursday in section meetings, starting on Thursday, January 20;
there will be eight assignments. Each homework will consist of
about ten problems of varying difficulty (both computational and
theoretical), almost all of which will be from the textbook. The
exact questions will be available on the Web, and also announced
in lectures. Only three of the questions, chosen at random, will
actually be graded, however it is recommended that you attempt
all the questions in the assignment.

Solutions to each homework will be available on the Web on the evening of the due date. Late homework will not be accepted.

In addition to the homework, there will be a quiz on the *first*
TA session (i.e. Thursday, January 13) which will test you on
lower division material. The material you see in the quiz will
come up again later in the course, so if you had difficulties
with the quiz, then you may need to brush up on lower-division
calculus if you want to continue with this course.

**Examinations: **There will be two mid-terms during the
course, on Friday, Feb 4 and Friday, Feb 25 (both during the
usual hour of 1pm - 2pm at MS 5138), as well as a final
examination on Tuesday, March 21, 8-11 a.m (exam code 04) at a
room to be announced.

**Grading: **The final grade is based on the quiz (1%),
homework (9%), mid-terms (20% each), and the final examination
(50%).

If you cannot make one of the examinations, contact me as soon as possible, preferably one week in advance of the exam. Retroactive, or last-minute requests for a make-up, will be denied unless there is a genuine emergency or need which could not have been foreseen earlier.

**Calculators and written materials: **You may use whatever
resources you wish to do the homework, including calculators,
textbooks, friends, TAs, etc., although by the end of the course
you should be able to do all the homework questions without any
assistance. No calculators or texts will be allowed in the
mid-terms and finals, but a 5x7 index card will be permitted for
the final. More information on examination procedures will be
given later in the course.

**Mathematical level: **The emphasis in this course is on
applications and computations, but there will be some theoretical
material, including a few abstract proof-type questions in the
homework and in the exams. For most of these questions, a
relevant sequence of equations arranged in an intelligent and
logical order, accompanied by a few words of explanation at the
critical steps, will be sufficient.

**World-Wide Web: **You are encouraged to
visit the web-page for this section at

This page will contain all the official information for the course, the latest homework, lecture notes, handouts, Virtual Office Hours, solutions to previous homework, sample exams and quizzes, updates, and other pieces of information.