Current Courses and Seminars

Spring 2018

Office hours: 10:30-11:30 am MWF and by appointment, room 345JB

1.   Math 843, Real Analysis II; 8:30-9:20am MWF, 336 JB

Text: Real Analysis, by H.L. Royden, P.M. Fitzpatrick, Fourth Edition.

The class meetings to be spent on each topic are approximate.

 

Chapters II, III; Sec #

Topic

Class meetings

9

Metric Spaces: General Properties

4

10

Metric Spaces: Fundamental Theorems

3

14

Duality for Normed Spaces. Weak topology

4

17

General Measure Spaces

6

18

Integration

12

19,20

L^p Spaces; Particular Measures

12

 

There will be three tests during the semester (100 pts. each). Also each student will have to work on and present a project. Final exam (notice different time!) is scheduled for 7:00 - 8:50 AM on Wednesday, May 9, 2018.

2.   Math 845, Complex Analysis II; 9:30-10:20am MWF, 336 JB

Text: Complex Analysis, by Lars V. Ahlfors, Third Edition.

The number of classroom hours to be spent on each topic is approximate.

 

Sections

Topic

Class hours

4.6.1-4.6.5

Harmonic functions

5

5.1.1-5.1.3

Power series expansions

3

 

TBD

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

There will be three tests during the semester (100 pts. each). Also each student will have to work on and present a project. Final exam (notice different time!) is scheduled for 9:00 - 10:50 AM on Monday, May 7, 2018.


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