Discussion session Thursdays at 10:30am in 113 MLH

syllabus

Office: B1H MLH               Phone: 319-335-0778         Email: idarcy AT math.uiowa.edu           
Office Hours: MW 11:40 - 12+, Th 1pm - 2:30pm, F 11:40 - 12:20 and by appt.
Note: + means I will be also available directly after the office hour, normally for as long as needed.

HW assignment 1 (due 9/3):                                                                   Answers: p. 83: 1 ,    3 ,     4, 8

1.) Define countable.
2.) Prove that the rationals are countable by using the definition of countable.
3.) Prove that the reals are uncountable by using the definition of countable.
4.) Prove that the irrationals are uncountable.
p83: 4, 8
Read Helping Undergraduates Learn to Read Mathematics

HW assignment 2 (due 9/10): p. 91: 1, 3, 4, 6, 8                                  Answers: p. 91: 4, 6, 1, 3, 8

HW assignment 3 (due 9/17): section 17: 7, 8, 13, 14, 16                     Answers: 17: 6, 8, 11, 12,     13

HW assignment 4 (due 9/24):                                                               Answers: 18: 2, 9,      13      17: 18     
p. 145 1, 2 and Choose 6 problems from the following list of problems:
section 17: 18, 19, 20, 21;
section 18: 1, 2, 9, 13;

HW assignment 5 (due 10/8):
[choose 2 from section 19: 2, 3, 5, 6, 7]
section 20: 1, 3

HW assignment 6 (due 10/15):
section 20: do either (4 and 5) or 8
section 21: (6 or 10), 7
section 22: 1, 2

HW assignment 7 (due 10/22):
section 23: choose 2 from 2, 7, 8;
section 24: 3 or 8;
p. 146 (supplementary) 3, 4

HW assignment 8 (due 10/29): section 25 (2 or 9); section 26: 4, 5, 8, 13a; section 27: 4

HW assignment 9 (due 11/5): section 27: 6; section 28: 1, 5, 7

HW assignment 10 (due 11/12):
section 29: 5
section 30: 1
section 31: Choose 1 problem from 5, 9

HW assignment 12 (due 11/19):
HW 22: 4, 6
p. 146 (topological groups) 6
Section 26: 13b, c

HW assignment 13 (due 12/3):
section 31: 8
p. 146 (topological groups) 5, 7;
Choose 2 problems from section 32.
Section 33: 4, 7

HW assignment 14 (due 12/10):
Section 34: choose any 2 problems
section 36: 1, 5
section 39: 3

Point-Set Topology Table

Past exams are available at
Fall 08
Spring 04

Qualifying exams

Jon Simon's practice problems

TENTATIVE CLASS SCHEDULE-ALL DATES SUBJECT TO CHANGE (click on date/section for pdf file of corresponding class material):