Math 3210 - Foundations of Analysis
Spring 2007

The review session for the final is on May 1 from 2-4 PM in JTB 110. There are 3 problems on Chapter 6 posted in the homework section. One of them will be on the final. I will give you a copy of the following notes which you can use without proof on the final.

Problems and solutions from Tuesday's (1/9) class are here.

Instructor:
Ken Bromberg
Office: JWB 303
Phone: 581-7916
Email: bromberg@math.utah.edu
Office hours: M 1:45-3:15, T 1-2:30

Prerequisites: Math 2210 or consent of instructor.

Meeting place and time: MTWF 10:45-11:35, BU C 212
There will be no class on Tuesday, January 16 and Tuesday, February 20 (the days after the MLK and President's day breaks).

Text: Foundations of Analysis, by Joseph L. Taylor
Supplemental notes: Basic Logic Concepts, by Anne Roberts

Course description:
The purpose of this course is the rigorous development of the calculus of one variable, starting from a rigorous develoment of the real numbers. This means that the emphasis of the course will be on proofs, and a lot of time will be spent on practicing how to write proofs. The real numbers will be constructed from the integers and the rational numbers. The basic completeness property of the real numbers will be derived. From the completeness we will then prove the basic theorems of one variable calculus.

Homework: Homework will be assigned weekly and generally due on Wednesdays. Late homework will not be accepted. A random subset of the problems will be graded.

 Due Date Assignment Wednesday 1/17 Exercise Set 1.1: 2, 3, 4, 8, 10, 12 Wednesday 1/24 Exercise Set 1.2: 2, 3, 5, 7, 8, 9, 14 Wednesday 1/31 Exercise Set 1.2: 17, 18                      1.3: 8, 9, 11, 12                      1.4: 1, 2 Wednesday 2/7 Exercise Set 1.4: 10                      1.5: 4, 8                      2.1: 1, 4, 5 Wednesday 2/14 Exercise Set 2.2: 5                      2.3: 4, 11, 12, 13 Wednesday 2/21 Exercise Set 2.4: 3, 9                      2.5: 1, 7, 9                      2.6: 4 Wednesday 2/28 Exercise Set 3.1: 1, 4, 12                      3.2: 2, 8, 10 Wednesday 3/7 Exercise Set 3.3: 4, 7, 9, 10                      3.4: 3, 5, 8                      4.1: 3, 7 Wednesday 3/14 Exercise Set 4.2: 1, 7, 11                      4.3: 1, 2 There is a typo in 4.3.1. You should replace [-1.1] with [-1,1]. Wednesday 3/28 Exercise Set  4.3: 7, 10                       4.4: 1, 4, 5, 8 Wednesday 4/4 Exercise Set 5.1: 1, 5, 8, 9                      5.2: 2 Wednesday 4/11 Exercise Set 5.2: 5, 7, 8, 10, 12 Wednesday 4/18 Exercise Set 5.3: 3, 6, 7, 8                      5.4: 2, 6 One of these problems will be on the final Exercise Set 6.1; 12                      6.2; 12                      6.3; 7

Problem session: Tuesday's class session will be a problem session. Students will present problems on the board. For each problem you volunteer to do at the board I will add 25/25 to your homework score.

Midterms: There will be three midterms. The first is on February 7, the second is on March 14 and the third is on April 6.
Final: The final is on May 3 from 10:30 AM - 12:30 PM.