|
|
| Lectures: |
Duncan Hall 1042,
Tuesdays and Thursdays, 1.00-2.20pm |
|
| Instructor: |
Mark Embree (embree@rice.edu)
Duncan Hall 3019, (713) 348-6160 |
|
| Office Hours: |
Monday 2-3,4-5pm, Thursday 2:30-4pm, or by appointment.
|
|
| Prerequisite: |
CAAM 401 Analysis or MATH 321 Introduction to Analysis,
or equivalent background in real analysis and linear algebra.
|
|
| Grading: |
50% standard problem sets, 50% pledged problem sets |
|
| Participation: |
Please contribute to the classroom environment by asking questions
and participating in discussions. Your interaction will be considered
when assigning borderline grades, as will improving performance
throughout the course of the semester. |
|
| Standard problem sets: |
A problem set will be assigned each week, usually due by
5pm the following Tuesday. These exercises will require proofs of
general results and analysis of illustrative examples.
Mathematically rigorous solutions are expected; strive for
clarity and elegance. Some problems might require a modest amount of
MATLAB programming. |
|
You are encouraged to collaborate on these exercises, but your final write-up
must be your own independent work. Transcribed solutions are unacceptable.
You may not consult solutions from previous offerings of this course. |
|
Late policy: You may submit two standard problem sets one class period late
with no penalty. Subsequent late assignments will be penalized 25%.
No work will be accepted more than one class period late without
prior arrangement or a written excuse. |
|
| Pledged problem sets: |
Three assignments will be designated as pledged problem sets.
These must be completed with only the aid of your text book (Young) and lecture notes.
You may not use outside resources: other students, other books, etc. |
| Pledged assignments may not be turned in late without prior arrangement
or written excuse. |
|
| Text: |
N. Young,
An Introduction to Hilbert Space,
Cambridge, 1988.
We will use this text for the first part of the course; later material will be drawn from
a variety of sources that will be referenced
on the class web site.
|
|
| Syllabus: |
pdf |
|
|
|
|