This course is an introduction to abstract mathematics through the lens of discrete mathematics, a field centered on the study of mathematical objects such as sets, functions, and graphs. We will learn many techniques that allow one to rigorously prove mathematical facts, and we will apply those techniques to the study of discrete mathematics. Emphasis is placed on logical, abstract thinking and clear and precise mathematical writing.
Lectures: 
Tu, Th  11:00am  12:15pm 
Cudahy 120 
Office Hours: 
Monday,  10:00am  11:00am 
Cudahy 307  Wednesday,  3:00pm  5:00pm 
and by appointment 
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August 27  Classes begin 
September 3  Labor Day, no classes 
September 4  Last day to add/drop classes or request CR/NC option 
October 1819  Midterm break, no classes 
November 16  Last day to withdraw from classes 
November 2123  Thanksgiving, no classes 
December 7  Last day of classes 
December 14  Math 2100/2105/2350 final exam 
#  Date  Topics  Suggested HW & Announcements 

1  Tues, Aug 28  3.1: Set Definitions and Operations  
2  Thurs, Aug 30 
More 3.1 Quiz 0 (ungraded) Homework 1 assigned 
Suggested Homework: 3.1.{1,2,4,5,7,14,16} 
3  Tues, Sept 4 
Finish 3.1 3.2: More Operations on Sets 
Suggested Homework: 3.2.{1,2,3,4,10,11,12,14} 
4  Thurs, Sept 6 
5.1: Introduction to Combinatorics 5.2: Basic Rules for Counting Quiz 1 Homework 1 due Homework 2 assigned 
Suggested Homework: 5.2.{1,2,4,6,7,8,10,14} 
5  Tues, Sept 11 
5.3: Combinations and the Binomial Theorem 
Suggested Homework: 5.3.{5,6,8,10,11,13,15,16,22,25,26} 
6  Thurs, Sept 13 
Finish 5.3 Quiz 2 Homework 2 due Homework 3 assigned 
Suggested Homework: 5.3.{31,32} 
7  Tues, Sept 18  1.3: Truthtellers, Liars, and Propositional Logic 
Suggested Homework: 1.3.{1,3,4,7,8,9,11,16,17} 
8  Thurs, Sept 20 
Finish 1.3 Quiz 3 Homework 3 due Homework 4 assigned 
Suggested Homework: 1.3.{10,14,16,17,18,20,21,23} 
9  Tues, Sept 25  1.4: Predicates 
Suggested Homework: 1.4.{4,7,9,10,11,13,16,17} 
10  Thurs, Sept 27 
Exam 1 Homework 4 due Homework 5 assigned 

11  Tues, Oct 2 
1.5: Implications 
Suggested Homework: 1.5.{4,5,8,10,12,13,14,15,17,22} 
12  Thurs, Oct 4 
Finish 1.5 2.1: Mathematical Writing Quiz 4 Homework 5 due Homework 6 assigned 
Suggested Homework: 1.5.{16,25,26,27} 
13  Tues, Oct 9  Finish 2.1 
Suggested Homework: 2.1.{2,3,4,9,10,13} 
14  Thurs, Oct 11 
2.2: Proofs about Numbers Quiz 5 Homework 6 due Homework 7 assigned 
Suggested Homework: 2.2.{3,7,14,15,16,17,18,27} 
15  Tues, Oct 16  Finish 2.2 
Suggested Homework: 2.2.{3,7,14,15,16,17,18,27} 
Thurs, Oct 18  Midterm Break, no class  
16  Tues, Oct 23 
2.3: Mathematical Induction 
Suggested Homework: 2.3.{8,9} 
17  Thurs, Oct 25 
Finish 2.3 Quiz 6 Homework 7 due Homework 8 assigned 
Suggested Homework: 2.3.{8,9}, plus the inclass group work 
18  Tues, Oct 30  2.5: Contradiction and the Pigeonhole Principle 
Suggested Homework: 2.5.{3,4,5,11,17,22} 
19  Thurs, Nov 1 
Finish 2.5 Quiz 7 Homework 8 due Homework 9+10 assigned 
Suggested Homework: 2.5.{32,33,34,35,36,39} 
20  Tues, Nov 6  3.3: Proving Set Properties  
21  Thurs, Nov 8  Finish 3.3 
Suggested Homework: 3.3.{2, 3, 5, 6, 11, 13, 20, 21, 22, 23} 
22  Tues, Nov 13 
Exam Review Quiz 8 

23  Thurs, Nov 15 
Exam 2 Homework 9+10 due Homework 11 assigned 

24  Tues, Nov 20  4.1: Definitions, Diagrams, and Inverses 
Suggested Homework: 4.1.{1,12,15,16,17,20} 4.3.{1,2,3,4} 
Thurs, Nov 22  Thanksgiving Break, no class  
25  Tues, Nov 27  4.2: The Composition Operation  
26  Thurs, Nov 29 
4.3: Properties of Functions and Set Cardinality Quiz 9 Homework 11 due Homework 12 assigned 

27  Tues, Dec 4  4.4: Properties of Relations  
28  Thurs, Dec 6 
4.5: Equivalence Relations Quiz 10 Homework 12 due 

Fri, Dec 14  Final Exam, 3:30pm  5:30pm 