Course Topics:
We continue Chapters 6-9 of Stoll, and several topics from the Trench book,
including metric spaces and multidimensional version topics done in Stoll in 1 dimension (implicit function theorem, multidimensional Taylor formula).
I'll aim to cover at least the first 4 of the following:
- Metric Spaces, point-set topology of R^n. (Chapters 5, 8 of Trench)
- Riemann integral: Chapter 6 of Stoll
- Convergence tests: Ch. 7 of Stoll
- Sequence, series of functions: Ch's 8,9 of Stoll
- Differentiation in R^n, Multidimensional Taylor formula: Ch. 5 Trench
- Basics of measure theory; Lebesgue integral
Course Policy
The course grade is based upon a midterm exam (20 percent of grade), a final exam (20 percent of grade), turn-in homeworks (50 percent) and class participation (10 percent). The midterm date will be announced at least 2 weeks in advance. I'll determine the grade scale by the difficulty of the homeworks and tests, however I expect approximately a 90-80-65-50 percent scale.
Homework:
I'll assign many problems to work on. Most of these will be
"practice problems" that
will not be collected, but may be discussed in class or be
problems we do as a group on the board. Other problem sets are to be
turned in and graded. As a convenience I'll try to post most assignments and practice problem sets on the Assignements and comments link, but due to delays,
data/connection errors, its best to rely on what is given in class.
Unexcused late homework will be downgraded.
After I go over it in class it will no longer be accepted for any credit.
Practice Problems:
Most fridays will include some time to work some of the problems (PP's) on the board, and may include a short quiz on the
previous week's practice problems. All students are expected to do at least 4
practice problems over the course of the semester. Beyond that, students that
work PP's on the board will get some extra credit (up to a limit to be determined).
Attendance:
Regular attendance is considered an important part of
the course, but will not be factored into the grade in normal situations, e.g., missing up to 2 weeks for illness or other reasons. However, an excessive number of absences (more than 3 weeks) may negatively affect the class
participation portion of the grade.
My Webpage Policy
The classroom is always the
primary source of information. For convenience, I will try to regularly post
the assignments, important comments on the course webpage, but
from time to time, I make some typo or get something wrong. So please
correct me if you think I have something posted incorrectly. (When in doubt, go with what was stated in class, until you hear otherwise.)
Disabilities
If you have a documented disability and anticipate
needing accommodations in this course, please make arrangements with me soon.
You will need to provide documentation of your disability to the Disability
Resources office located on the main floor of the student services building,
Room 1076, 294-6624.
Last updated 1-5, 2009