MTH 431/531 (Fall 2023): Introduction to Real Variables I

Instructor: Hanfeng Li

Office: 104 Mathematics Building.     Phone: 645-8762.

Office Hours:  W 2-3pm

Email: hfli@math.buffalo.edu

Course Page:http://www.math.buffalo.edu/~hfli/teaching/431-531/431-531fall23.htm

Lectures: TR 9:30-10:50am    
          
Room: 150 Math Building

Textbook: Bartle and Sherbert,  Introduction to Real Analysis, 4th edition.

TA's Labs (For 431 students, starting from September 1)

Section T1:  F  2:00-2:50pm,  150 Math Building.

         Section T2:  F 3:00-3:50pm,  150 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 431.  The center will open on Tuesday, September 5. Hours are 10am -6pm, Monday to Friday, at Room 110 Math Building. 

Course Description

Comprehensive and rigorous course in the study of real valued functions of one real variable. Topics include sequences of numbers, limits and the Cauchy criterion, continuous functions, differentiation, inverse function theorem, Riemann integration, sequences and series, uniform convergence. A prerequisite for most advanced courses in analysis.

Text To Be Covered (Outline)

Chapters 1-8.

Prerequisite

MTH 311

Homework

Homework will be assigned every Thursday and due in lecture the next Thursady, except the last week and those weeks with term tests following. There will be totally 10 homework assignments.

         Only selected problems will be graded, depending on the availability of the grader.

Homework Assignments

Exams

There will be three 80-min in-lecture term tests:
Term Test 1: Thursday, September 28.
Term Test 2: Thursday, November 2.
Term Test 3: Thursday, December 7.

No final exam. Calculators are not allowed in 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:
Homework: 25%        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

Tuesday,  September 5         Last day to drop the course - no record appears on transcript.
Friday, November 10           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 - Tuesday, September 5.