Analysis II

Spring 2016



Course Outline and information.

Instructor: Andreas Seeger

Classes: MWF, 9:55-10:45, Van Vleck B115.

Textbook: Principles of mathematical analysis, by Walter Rudin.

Midterm exams: First Midterm, March 2. Second midterm April 13.

Final exam: May 11, 2016, 10:05 -- 12:05 a.m.

Office hours: Monday, 10:45-11:30, 12:30-1:15, Wednesday 10:45-11:30.



Tenth homework assignment. Due: Friday, April 29.

Nineth homework assignment. Due: Friday, April 22.

Eight homework assignment. Due: April 15.

Review problems.

Seventh homework assignment. Due: Wednesday, April 6.

Sixth homework assignment. Due: Wednesday, March 16.

Fifth homework assignment. Due: Wednesday, March 9.

Practice questions related to the Arzela-Ascoli theorem.

Fourth homework assignment. Will not be collected.

Third homework assignment. Due: Wednesday, February 24.

Second homework assignment. Due: Monday, February 15.

First homework assignment. Due: Wednesday, February 3.


Some basic inequalities.

Notes on characterizations of compactness.

Equivalent norms.

Bounded operators and derivatives.

The space C(K) and the Arzela-Ascoli theorem.

Notes on differential equations .

Notes on approximation.


A collection of problems in analysis.
Many of these rely on topics we cover in Math 522. They are usually
more difficult than the homework problems in Math 522 but
will serve as good practice problems for those of you
planning to go to graduate studies in mathematics.