# Math 104, Section 1, Fall 2009

Time: Tuesday & Thursday, 2:10 pm - 3:30 pm
Place: Room 10 Evans
Professor: Ian Agol
Office Hours: Monday 11-12 am, Wednesday 2:30-3:30 pm
including 12/7 & 12/9
Office: 921 Evans

Exams:
There will be two midterms in class
Thursday, October 1
Thursday, November 5
There will be a review on Thursday, December 10.
The review will be at the regular class time and classroom, 2:10-3:30, 10 Evans.
Practice problems for final
Solutions to Practice problems
Solutions to the final

The final exam will be Monday, December 14, 12:30-3:30 pm, Room 70 Evans

Announcement: Office hours are changed from Wednesday 11/11 to
Thursday 11/12, 11-12 am, due to the veterans day holiday

Text:
C. Pugh, Real Mathematical Analysis, Springer, 2002.

Rudin, Principles of Mathematical Analysis

Notes on Set Theory and Logic

Homework:
Homework will be due weekly on Thursdays, except
the weeks of exams and Thanksgiving.

Each midterm is worth 20%
Homework is worth 30%
The final is worth 30%

Homework 1, due Thursday September 3:
pp. 41-42, Chapter 1, Exercises 2, 5
Update 9/1: save 9, 12, 13 for next week, since we didn't cover addition and
multiplication for Dedekind cuts yet.

Homework 2, due Thursday September 10:
Chapter 1, Exercises 9, 12, 13, 18, 19

Some solutions

Homework 3, due Thursday September 17:
Chapter 1, Exercises 31, 36, 41

Homework 4, due Thursday September 24:
Chapter 2, Exercises 12, 22, 23, 30(a)

Selected Solutions

Midterm 1 will be Thursday, October 1.
This midterm will cover only Chapter 1.
Practice problems for the midterm
Solutions to practice problems
Solutions to the midterm

Homework 5, due Thursday October 8:
p. 118, #34, p. 124, #81, p. 126, #89, p. 128, #97

Homework 6, due Thursday October 15:
p. 117, #27, p. 119 #41, p. 122 #71
(the 2-sphere S^2 is the set of all points in R^3 distance
1 from the origin)

Homework 7, due Thursday October 22:
p. 119 #40ab, p. 121 #59, p. 122 #68

Selected solutions to Homeworks 5-7

Homework 8, due Thursday October 29:
p. 186 # 5, #6, p. 187 #13

Midterm 2  will be Thursday, November 5.
This midterm will cover Chapter 2.
Practice problems for midterm 2
Solutions to practice problems for midterm 2
Solutions to midterm 2

Homework 9, due Thursday November 12
p. 187 #14, p. 192 #28(a)(b)
Remark: in problem 14, the sign of the exponent in part (d) should be + not -
e2x2 / (x2 -1)

Solutions to Homeworks 8 & 9

Homework 10, due Thursday November 19
p. 193 #33abc, p. 196 #51abde

Homework 11, due Thursday December 3
p. 195 #42, p. 197 #52, #57, #58

Solutions to Homeworks 10 & 11