Math 131A, Lecture 1: Analysis
Spring 2016
| Instructor: | Kristen Hendricks |
| Office: | MS 6617D |
| Office Hours: | M 9-10, W 10-11, R 4-5 |
| E-Mail: | hendricks at math .ucla .edu |
| TA: | Fei Xie |
| Office: | MS 2361 |
| Office Hours: | T 9-10:30 |
| E-Mail: | feixie at math .ucla .edu |
Location and Time
MWF 8-8:50 in MS 5147. TA discussion section T 8-8:50 in MS 5147.Content
This course is a rigorous introduction to analysis on the real line, and covers sequences, continuity, limits, derivatives, and integration. It is intended as a potential first course in mathematics, and will focus on building skills for reading and writing proofs.Textbook
Ross, Elementary Analysis: The Theory of Calculus. Springer 1980. Second Edition.
Prerequisites
Math 33A, Math 33B. Math 115A is recommended.
Homework
Homework will be assigned weekly and due at the beginning of lecture on Friday. There will be ten homeworks. (The first one will be very short.) Do not submit homework by e-mail. No late homework will be accepted. However, your lowest homework score will be dropped when computing your grade.
You are encouraged to work in groups on your homework; this is generally beneficial to your understanding and helps you learn how to communicate clearly about mathematics. However, you must write up all solutions yourself. Moreover, since crediting your collaborators is an important element of academic ethics, you should write down with whom you worked at the top of each assignment. You should also cite any other sources other than lecture and the textbook (another book, a blog about analysis, etc) you use.
Exams
There will be two in-class midterms on Wednesday, April 20 and Wednesday, May 18. There will also be a final exam Thursday June 9, 3-6 p.m.. There will be not be any make-up exams except in extreme and documented circumstances. In particular, note that university policy requires that a student who has an undocumented absence from the final exam be given a failing grade in the course.
Grading
Grades will be computed as follows:
A curve compatible with the department guidelines will be applied to the composite numerical grades. The average will be a B- (unless something surprising happens).
Schedule
We will approximately follow the official schedule of topics here.
Homeworks
Exams