This is a copy of the original website for this course, which I taught at UCLA in 2015. All of the contact information below is out of date.

Math 131A, Lecture 1: Analysis

Winter 2015

Instructor: Kristen Hendricks
Office: 6617D Math Sciences Building
Office Hours: M 11-12, W 10-11, R 4-5
E-Mail: hendricks at math .ucla .edu
TA: Jianfeng Lin
Office: MS 2954
Office Hours: TBA
E-Mail: juliuslin at math. ucla .edu
A printable copy of the syllabus is here.

Location and Time

MWF 9-9:50 in MS 5138. TA discussion section R 9-9:50 in MS 5138.

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, January 28 and Wednesday, February 25. There will also be a final exam Wednesday March 18, 8:00-11:00 a.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

Homework 1 (Due January 9th).

Homework 2 (Due January 16th).

Homework 3 (Due January 23rd).

Homework 4 (Due January 30th).

Homework 5 (Due February 6th).

Homework 6 (Due February 13th).

Homework 7 (Due February 20th).

Homework 8 (Due March 2nd).

Homework 9 (Due March 6th).

Homework 10 (Due March 13th).