This is a copy of the original website for this course, which I taught at UCLA in 2013. All of the contact information below is out of date.

Math 131A-3: Real Analysis, Lecture 3

Fall 2013

Instructor: Kristen Hendricks
Office: 6617D Math Sciences Building
Office Hours: M 1:00-2:30 W 9:00-10:30
E-Mail: hendricks at math .ucla .edu
TA: Theodore Dokos
Office: MS 2951
Office Hours: R 12:00-1:00
E-Mail: tdokos at ucla .edu
A printable copy of the syllabus is here.

Location and Time

Class will meet MWF in MS 6229 from 11:00 to 11:50 AM.
There will also be a discussion section, at the same time and place on Thursdays.

Content

This course is a rigorous introduction to real numbers and real analysis, point-set topology in Euclidean space, functions, and continuity. It is intended as a first course in abstract mathematics, and will focus on building skills in reading and writing proofs.

Textbook

Ross, Elementary Analysis: The Theory of Calculus. Second Edition.

Prerequisites

Math 32B and 33B (or equivalents). Math 115A is also recommended.

Homework

Homework will be assigned weekly and due Fridays at the start of lecture. Homework must be stapled and contain your name, the assignment number, and "Math 131A" on the first page, or it will not be accepted. 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.

Working in groups on homework is highly encouraged, but you must write up all solutions yourself and write down with whom you worked at the top of each assignment.

Exams

There will be two in-class midterms, tentatively scheduled for Monday, October 21 and Friday, November 15. There will also be a final exam Wednesday, December 11, 8-11 a.m. Make-up exams are strongly discouraged (and probably unnecessary, see the grading system); if you feel you have extraordinary circumstances, talk to me about it as soon as possible.

Grading

Grading: Your grade will be computed according to one of the following schemes (whichever is higher):
Homework 20%, Midterms 1 & 2: 20% each, Final: 40%
OR
Homework 20%, Highest Midterm 20%, Final 60%
A reasonable curve will be applied to the final scores.

Schedule

We will follow the sequence of topics in the official course description here.

Homeworks

Homework 1 (Due October 4th).

Homework 2 (Due October 11th).

Homework 3 (Due October 18th).

Homework 4 (Due October 25th).

Homework 5 (Due November 1st).

Homework 6 (Due November 8th). Solutions.

Homework 7 (Due November 18th).

Homework 8 (Due November 25th).

Homework 9 (Due December 6th).