Ma 110b:  Analysis (Winter 2016-17)

ANNOUNCEMENTS

Registration for Winter term opens Thursday, November 17, 2016.

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COURSE DESCRIPTION

Math 110b is our graduate course in complex analysis, the second in the required graduate analysis sequence. Topics include Cauchy's integral theorem (in great generality: contractible rectifiable contours) with applications, some discussion of complex functional analysis (uniform convergence, Vitali, Montel, Hurwitz theorems), conformal maps (linear fractional transformations, the Riemann mapping theorem), the Weierstrass and Mittag-Leffler theorems (representations of entire functions as products, resp. meromorphic functions as sums), and some theory of special functions (the Gamma function, as well as an introduction to elliptic functions). Further topics as time allows will probably include Picard's theorem, Paley-Wiener theorems, global analytic functions and the Poincare metric.  


PREREQUISITES

TBA


SCHEDULE

MWF 11:00 - 11:55, 257 Sloan.


INSTRUCTORS

Vladimir Markovic
JOHN D. MACARTHUR PROFESSOR OF MATHEMATICS
Sloan 364
626-395-4350


TA's

Alex McDonald


OFFICE HOURS

TBA


POLICIES

Grading: Based on homework; no exams.

Homework: There will be four homeworks due roughly every two weeks.


TOPICS COVERED

TBA


TEXTBOOKS

TBA


LECTURE NOTES

Date Description
   
   
   

HOMEWORK

Due Date Homework Solutions
Friday February 3 HW1  
Friday February 17 HW2 (scroll down past Homework 1)  
Friday March 3 HW3 (scroll down past Homework 2)  
Friday March 17 HW4 (scroll down past Homework 3)  
     
     
     
     

EXAMS

 


READING