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Math 220-Complex Analysis, General Information
Fall 2010



Course Description

This course is about the theory on the functions of one complex variables. This first part includes complex differentiation and integration, Cauchy's theorem, Residue theorem, argument of principle, power series, normal family, Picard's theorems, harmonic functions, conformal mappings. The second part includes product developments, entire function, elliptic function, analytic continuation, algebraic functions and Riemann mapping theorem.

Each quarter there will be a midterm and a final exam.

The complete course schedule will be available and updated weekly.


Instructors

Name Office E-mail Phone Office Hours
Ni, Lei AP&M 5250 lni@math.ucsd.edu 534-2704 MW 11:00-11:50am, Th 2:00-2:50pm


Course Time and Location

Section Instructor Time Place
A00 Ni MWF 10:00-10:50 am APM 5402


Texts

Required Text: Functions of One Complex Variable I (Graduate Texts in Mathematics 11) by John B. Conway, Springer, 1978

Recommend Alternate Text: Complex Analysis, by L. Ahlfors, McGraw-Hill, Inc., 1979 . This is a much better book than our text.

Any students who are serious in learning the subject of the complex analysis should read Ahlfors' book. We choose our text since it is cheaper and it contains more accessible exercises.


Exams

There will be one midterm and one final exam.

Homework

There will be weekly homework assignments. Please check weekly for the updates. Many problems will be assigned every week. The one with (*) have to be turned in by the next week's Friday. The rest problems are recommended (which means that you should think about them and know how to solve them too). Three problems (out of all the turned-in problems) will be graded each week. The exams will be based on lectures and homework problems. The course grader is BO YANG with email address yangbopku@gmail.com. He has office hours Tuesday 9:30-11:30am at APM 6333 or any time you can catch him. There will also be a discussion session every Thursday 11:00-11:50am at APM 5829.

Solutions to the HW


Sample exams and supplementary homework

Sample Midterm 1

Sample Final 1

Supplementary Homework 1

Supplementary Homework 2

Supplementary Homework 3

Supplementary Homework 4

Supplementary Homework 5

Supplementary Homework 6

Narasimhan's proof on Looman-Menchoff theorem.

Solution to the midterm of 220A


Schedule

The course schedule will be updated weekly.


Grades

Grades will be based on the following percentages.
Homework 30%
Midterm Exam 25%
Final Exam 45%

Last modified: Wed September 08, 14:49:08 PST 2007