MTH 432/532 (Spring 2024): Introduction to Real Variables II
Instructor: Hanfeng Li
Office: 104 Mathematics Building. Phone:
645-8762.
Office Hours: M 2:00-3:00pm
Email: hfli@math.buffalo.edu
Course Page: http://www.math.buffalo.edu/~hfli/teaching/432-532/432-532spring24.htm
Lectures: TR 11:00-12:20pm
Room: 150 Math Building.
Textbook: Munkres, Analysis on Manifolds.
TA's Labs (Starting from January 25) - For 432
students: R 3:30-4:20pm, 122 Math Building.
- TA
- Dakota Leonard
- Math Help Center http://www.buffalo.edu/cas/math/ug/help-center.html
- Graduate students will be available to answer math questions.
Some of them may be able to answer questions from MTH 432.
The center will open on Monday, January 29. Hours are 10am -6pm,
Monday to Friday, at Room 110 Math Building.
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- 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.
- 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: Thursday, February 22.
Term Test 2: Tuesday, April 2.
Term Test 3: Tuesday, May 7.
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 "curved", based on the score determined
by:
Attendence: 5% Homework: 20%
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 - Wednesday, January 31
Last day to drop the
course - no record appears on transcript.
Tuesday, April 16
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 - Wednesday, January 31.
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