MATH 515:
Advanced Analysis
Section 001
Boise State University, Spring 2009
Instructor: Uwe
Kaiser
Office: MG 235-D
Phone: (208) 426-2653
Fax: (208) 426-1356
E-mail: kaiser@math.boisestate.edu
Web Address: http://math.boisestate.edu/~kaiser
Class meetings: MWF 1:40 p.m. - 2:30 p.m. in room
B 222.
Textbook: Real and Functional Analysis
by Serge Lang, Third Edition, Graduate Texts in Mathematics 142, Springer
1993. Further literature will be recommended later.
Office hours:
MWF from 11:40 a.m. to 12:30 p.m., TTh 1:40 pm - 2:30 pm, before or after
class, or by appointment. Drop ins are welcome any time.
Blackboard Support: The class will be supported by Blackboard.
The use of Blackboard will give you up to date access to your grades. Please
check on Blackboard on a regular basis. Blackboard is also an excellent
place for discussions.
Content and timeline: It is planned to cover Part One:
General Topology, Part Two: Banach and Hilbert spaces, Part
Four: Calculus, and Chapter
VI: The General Integral from Part Three: Integration. Approximate timeline: January 21-30 (Part One), February
4-18 (Part Two), February 20-March 11 (Part IV), March 16-April 22 (Chapter
VI, VII from Part Three), April 24-May 1 (Presentations), May 4-6 (Selected
topics from Part Three).
Goals: The goal is to develop a solid foundation of the ideas
of Analysis. This will help you in reading original literature in
Applied and Pure Mathematics, and Statistics. The Bibliography of the book reflects this
goal showing papers of original research of the 1960's. Moreover the
course intends to help you to develop further proof-writing skills, which
are necessary for successfully writing a master's thesis in any research
direction.
Grading policy: Your final grade
will be determined by your work in four areas
- Two exams (250 points) -- There will be an in-class exam on
February 2 counting 100 points, and a take home exam counting 150 points
will be due on March 13.
- Homework (300 points) -- Homework problems will be given on a weekly basis and the results have to be submitted on the
Wednesday of the following week if the Monday is not a holiday. If the Monday is a holiday the homework will be due on
Friday. The homework assignments will be announced in class and
can also be accessed through this webpage. Collaborative work on homework
problems is encouraged but each student has to submit her own solution.
- Presentations (150 points) -- Each student will give a
presentation of about 20 minutes on a section from Chapter VII or VIII.
The schedule for the presentations will be fixed at the beginning of April.
- Final exam (300 points) -- The final exam is a
take home exam, which counts 300 points. The exam is due May 13 at 1 pm.
No collaborative work is allowed on the final exam.
The final grade will be computed from the percentage you received with respect
to the 1000 possible points. You need at least 60% of all points to get a D-, 62% for a D, 67% for a D+, 70% for a C-, 72% for a C, 77% for a C+, 80% for a
B-, 82% for a B, 87% for a B+, at least 90% for an A-, 93% for an A, and at least 98% for an A+.
Please compare the Department of Mathematics' "Course
description " for MATH 515.
A list of
Homework Assignments will be posted
and updated throughout the semester.
The
Notes will also be posted and updated throughout the semester.
This page was most recently updated on February 4, 2009.
http://math.boisestate.edu/~kaiser/teaching/m515_s09/syll.html