MTH 432/532 (Spring 2017): Introduction to Real Variables II
Instructor: Hanfeng Li
Office: 104 Mathematics Building. Phone:
645-8762.
Office Hours: T 10:00-11:00am, W 2:00-3:00pm.
Email: hfli@math.buffalo.edu
Course Page: http://www.math.buffalo.edu/~hfli/teaching/432-532/432-532spring17.htm
Lectures: TR 2:00-3:20pm
Room: 150 Math Building.
Textbook: Munkres, Analysis on Manifolds.
TA's Labs (Starting from February 6) - For 432
students: M 9:00-9:50am, 150 Math Building.
- TA
- Marc Schilder
- Math Help Center
- Graduate students will be at Room 110 of the mathematics
building to answer any math questions you might have. The center
will open on Monday, February 13. 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.
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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 Thursday, except the last week
and those weeks with term tests following, and will be due at
the beginning of the lecture one week later. There will be
totally 10 homework assignments.
- Only
selected problems will be graded, depending on the availability
of the grader.
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Homework
Assignments
Exams
- There will be three 80-min in-lecture term tests:
Term Test 1: Tuesday, February 28.
Term Test 2: Thursday, April 6.
Term Test 3: Tuesday, May 9.
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 homework will be accepted.
Grading Policy
- The 2 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%
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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
- Monday, February 6
Last day to drop the course - no record appears on transcript.
Friday, April 21
Last day to RESIGN from the course - 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 Patti Wieclaw 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 Patti Wieclaw in Rm. 233 Math
Bldg. by the last day of add/drop - Monday, February 6.
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