MTH 432/532 (Spring 2011): Introduction to
Real Variables II
Instructor: Hanfeng Li
Office: 104 Mathematics Building. Phone:
645-8762.
Office Hours: M, W 3-4pm.
Email: hfli@math.buffalo.edu
Course Page: http://www.math.buffalo.edu/~hfli/teaching/432-532/432-532spring11.html
Lectures: MWF 11:00-11:50am
Room: 250 Math Building.
Textbook: Munkres, Analysis on Manifolds.
TA's Labs (Starting from January 27) - For 432 students: R
8:00-8:50am, 250 Math Building.
- TA
- TBA
- Math Help Center
- Graduate students will be at Room 110 of the mathematics building
to answer any math questions you might have. The room opens on Monday,
January 31. Hours are 9am-4pm.
Course Description - Rigorous course in analyzing dimensions greater than one.
Includes details of three basic theorems: the inverse function theorem,
the implicit function theorem, and the change of variables theorem in
multiple integrals. Topics include continuously differentiable
functions, the chain rule, inverse and implicit function theorems,
Riemann integration, partitions of unity, change of variables theorem.
Text To Be Covered (Outline) - Chapter 1-5.
-
Prerequisite
- MTH 431 with grade of C or higher.
- Groupwork
- There will be several 10-minute in-lecture groupwork. Everyone
must hand in his/her own solution, which counts towards the final
grade.
- Homework
- Homework will be assigned every Friday, except those weeks with
term tests following, and will be due at the beginning of the lecture
one
week later. There will be totally 11 homework assignments.
- Only
selected problems will be graded, depending on the availability of the
grader.
-
Homework
Assignments
Exams
- There will be three 50-min in-lecture term tests:
Term Test 1: Monday, February 14.
Term Test 2: Wednesday, March 23.
Term Test 3: Monday, May 2.
Most of the term test problems are similar to
those in the homework.
No final exam. Calculators are not allowed in in-lecture groupwork and
term tests.
Late Policy - No late homewrok will be accepted.
Grading Policy - The 3 lowest homework grades will be
dropped. In other words, we shall count only your best 8 homework.
Your final grade will be determined by:
Groupwork: 10% Homework:
15%
Term tests: each 25%
Disabilities - If you have a diagnosed disability (physical, learning or
psychological) which will make it difficult to carry out the course
work as outlined, or requires accomodations such as recruiting note
takers, readers, or extended time on exams and/or assignment, please
advise me during the first two weeks of the course so we may review
possible arrangements for reasonable accomodations.
Important Dates - Friday, Jan 28
Last day to drop the course - no record appears on transcript.
Friday, Jan 28
Last day to file "Petition to make up an Incomplete" with the math
department.
Friday, April 1 Last day to RESIGN
from
the course (by 11pm)- an "R" appears on transcript.
Making Up Incompletes - To make up an Incomplete in a math course you must:
1) Not re-register for the course -- you are making up an incomplete
in
your original course.
2) Appear in person at the Mathematics Building, Room 233, ask for
Marie Daniel and ask her to initiate an incomplete petition form
for you.
3) Sign the petition.
4) a) If your original instructor determined that the work was to be
completed
with him/her, take the approved petition form to your original
instructor
for signature.
b) If your original instructor determined that the
work was to be
completed
by repeating the course, take the approved petition form to me
for signature.
5. Return the petition form to Marie Daniel in Rm. 233 Math
Bldg. by the last day
of add/drop - Friday, January 28.
-
Back
to
the
course
page