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: 
M, W  11:00am  12:15pm 
Cudahy 401 
Office Hours: 
Monday,  3:45pm  5:00pm 
Cudahy 307  Tuesday,  2:00pm  3:30pm 
Friday,  11:00am  12:00pm  
and by appointment 
I recommend using Overleaf (free) to write your assignments in LaTeX. You can use this document as a basic template by cloning it to your own account.
I'm happy to help troubleshoot your LaTeX in office hours!
Aug 26  Classes begin 
Sept 2  Labor Day, no classes 
Sept 3  Last day to add/drop classes or request CR/NC option 
Oct 1016  Midterm exams 
Oct 1720  Midterm break, no classes 
Nov 15  Last day to withdraw from classes 
Nov 27  Dec 1  Thanksgiving break, no classes 
Dec 7  Last day of classes 
Dec 9  Math 2100/2350 final exam 
#  Date  Topics  Suggested HW & Announcements 

1  Mon, Aug 26 
Syllabus 7.1: Graph Theory 
7.1.{9,10,11} There will be no office hours on Monday, September 2 for Labor Day. 
2  Wed, Aug 28  1.3: Truthtellers, Liars, and Propositional Logic  1.3.{1,3,4,7,8,9,11} 
Mon, Sept 2  Labor Day — no class  
3  Wed, Sept 4 
Homework 1 Assigned Finish 1.3 
1.3.{14,17,21ace,23} 
4  Mon, Sept 9  1.4: Predicates  1.4.{5,7,8,9,10,11,12,13,16,17} 
5  Wed, Sept 11 
Quiz 1 1.5: Implications 

6  Mon, Sept 16 
Finish 1.5 3.1: Set Definitions and Operations 
1.5.{4,5,8,10,12,13,14,15,16,17,22,25,26,27} 
7  Wed, Sept 18 
Homework 1 Due Homework 2 Assigned Continue 3.1 
3.1.{1,2,4,5,7,9,10} 
8  Mon, Sept 23 
Finish 3.1 3.2: More Operations on Set 
3.1.{14,16} 3.2.{1,2,3,4,10,11,12} 
9  Wed, Sept 25 
Quiz 2 Reviewing 3.1 and 3.2. 
Work on Homework 2 and form a study group for the exam! 
10  Mon, Sept 30  Exam Review  
11  Wed, Oct 2 
Exam 1 Homework 2 Due 

12  Mon, Oct 7 
Homework 3 Assigned 2.1: Mathematical Writing 
2.1.{2,3,4,9,10,13} 
13  Wed, Oct 9 
Quiz 3 2.2: Proofs About Numbers 
2.2.{7,11,14,16,17,27} 
14  Mon, Oct 14 
Finish 2.2 SGID 
2.2.{as above} 
15  Wed, Oct 16 
Homework 3 Due Homework 4 Assigned 2.3: Mathematical Induction 
2.3.{8,9} 
16  Mon, Oct 21  2.4: More About Induction  2.4.{3,8a,12,13,15} 
17  Wed, Oct 23 
Quiz 4 2.5: Contradiction and the Pigeonhole Principle 
2.5.{32,33,34,35,36} 
18  Mon, Oct 28  Finish 2.5  2.5.{3,4,5,11,17,22} 
19  Wed, Oct 30 
Homework 4 Due Homework 5 Assigned 3.3: Proving Set Properties 
3.3.{3abc,5,6ab,7,8ab,11,20,21,22,23} 
20  Mon, Nov 4  4.1: Functions — Definitions, Diagrams, Inverses  4.1.{1,3,4,5,6,7,18} 
21  Wed, Nov 6 
Quiz 5 4.2: The Composition Operation 
4.2.{2,4,5,10,15} 
22  Mon, Nov 11  Exam Review  
23  Wed, Nov 13 
Exam 2 Homework 5 Due 

24  Mon, Nov 18  4.3: Properties of Functions and Set Cardinality  4.3.{11,14,15,19,21} 
25  Wed, Nov 20 
Homework 6 Assigned Quiz 6 (covers 4.2 and 4.3) 4.4: Relations and their Properties 
4.4.{1,3,4,9,10,15,21} 
26  Mon, Nov 25 
Finish 4.4 4.5: Equivalence Relations 
4.5.{2,3,8(no partitions),9,10(ac)} 
Wed, Nov 27  Thanksgiving Break — no class  
27  Mon, Dec 2  Different Sizes of Infinity and the Hilbert Hotel  4.3.{28,29,30} 
28  Wed, Dec 4 
Homework 6 Due Finish Sizes of Infinity 

Mon, Dec 9  Final Exam 