Math 131A: Real Analysis

# General Information

Time and Place: MWF 11:00 am-11:50 am,  MS 6627

Instructor: Matthias Aschenbrenner

Homepage: http://www.math.ucla.edu/~matthias

Office:
MS 5614
Office Phone: (310) 206-8576
Office Hours: M 2 pm-2:50 pm, T 1 pm-1:50 pm, or by appointment. (I will not hold 'virtual' office hours.)

Discussion Section: T 11:00 am-11:50 am, MS 6627
Teaching Assistant: Xiaokui Yang

# Description

Rigorous introduction to foundations of real analysis; real numbers; point-set topology in Euclidean space, functions, continuity.

# Prerequisities

32B, 33B. Recommended: 115A.

# Course Text

by K. A. Ross, Springer-Verlag, New York, 1980.

# Homework

There will be 9 problem sets assigned over the course of the quarter. The problems will range in difficulty from routine to more challenging. Completed solutions are to be handed in at the beginning of class on Wednesday's lecture, beginning in Week 2. No late homework will be accepted. However, your lowest homework score will be dropped when computing your grade. You are encouraged to work together on the exercises, but any graded assignment should represent your own work.

Put the following information in the upper right hand corner of the first page:

Math 131A, Homework # number.

On each additional page, put your name in the upper right-hand corner. Work single-sided, that is, write on only one side of each sheet of paper. STAPLE any homework that is more than one page long. Remove all perforation before submitting. Write legibly. Label the chapter + section number as well as the problem number (e.g., 1.1 #1.12). Homework that fails to meet the above requirements will be marked "Unacceptable'' and returned unread.

Homework Set 1 (due Wednesday, April 11)
Solutions
Homework Set 2 (due Wednesday, April 18)
Homework Set 3 (due Wednesday, April 25)
Homework Set 4 (due Wednesday, May 2)
Homework Set 5 (due Wednesday, May 9)
Homework Set 6 (due Wednesday, May 16)
Homework Set 7 (due Wednesday, May 23)
Homework Set 8 (due Wednesday, May 30)
Homework Set 9 (due Wednesday, June 6)
Homework Set 10 (not to be handed in)

# Exams

There will be two hour examinations, on Monday, April 23 and Monday, May 21, in class. There will be a final exam on Wedesday, June 13, 8 am-11 am, in MS 6627 (our usual classroom).

The final exam will be cumulative and cover the material from the whole quarter. I will hold my usual office hours during finals week (
M 2 pm-2:50 pm, T 1 pm-1:50 pm).

No make up exams will be given under any circumstances.

No books, calculators, scratch paper or notes will be allowed during exams.

Grading policy: Homework: 20%. Hour Exams: 20% each. Final Exam: 40%.

All scores and final grades will be available on the MyUCLA gradebook.