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 412 
Office Hours: 
Monday,  9:00am  10:00am 
Cudahy 307  Tuesday,  3:00pm  4:30pm 
Friday,  2:30pm  4:00pm  
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!
Jan 14  Classes begin 
Jan 21  Martin Luther King, Jr. Day, no classes 
Jan 22  Last day to add/drop classes or request CR/NC option 
March 48  Midterm exams 
March 1017  Spring break, no classes 
April 12  Last day to withdraw from classes 
April 1822  Easter break, no classes 
May 4  Last day of classes 
TBD  Math 2100/2105/2350 final exam 
#  Date  Topics  Suggested HW & Announcements 

1  Mon, Jan 14 
Syllabus 7.1: Graph Theory 
There will be no office hours on Tuesday, Jan 15 or Friday, Jan 18. Office hours will resume the following week. 
2  Wed, Jan 16  1.3: Truthtellers, Liars, and Propositional Logic  
Mon, Jan 21  Martin Luther King, Jr. Day — no class  
3  Wed, Jan 23 
Homework 1 assigned Finish 7.1 Dijkstra's Algorithm Finish 1.3 
1.3.{5,6,11b,16,21ace, 23cd} 
4  Mon, Jan 28 
1.4: Predicates Snow Day! — Read lecture notes on your own. 
1.4.{4,5,7,9,10,11,13,16,17} 
5  Wed, Jan 30 
Snow Day! — Continue to read 1.4 lecture notes. 

6  Mon, Feb 4 
Review 1.4 1.5: Implications 
1.5.{4,5,8,10,12,13,14,15,16,17,22,25,26,27} Optional Quiz 0 
7  Wed, Feb 6 
Homework 1 due Homework 2 assigned Finish 1.5 3.1: Set Definitions and Operations 
3.1.{1,2,4,5,7,10} 
8  Mon, Feb 11 
Finish 3.1 
3.1.{1,2,4,5,7,10,14,16} 
9  Wed, Feb 13 
Quiz 1 (1.5 and 3.1) 3.2: More Operations on Sets 
3.2.{1,2,3,4,10,11,12} 
10  Mon, Feb 18  Catchup / Review  
11  Wed, Feb 20 
Homework 2 due Exam 1 (covers 7.1, 1.3, 1.4, 1.5, 3.1, 3.2) 

12  Mon, Feb 25 
Homework 3 assigned 2.1: Mathematical Writing 
2.1.{2,3,4,9,10,13} When the book asks you to write "letters", write formal proofs instead. 
13  Wed, Feb 27 
Quiz 2 2.2: Proofs About Numbers 
2.2.{7,11,14,15,16,17,18,27} 
14  Mon, Mar 4  Finish 2.2  2.2.{7,11,14,15,16,17,18,27} 
15  Wed, Mar 6 
Homework 3 due Homework 4 assigned 2.3: Mathematical Induction 
2.3.{8} 
Mon, Mar 11  Spring Break — no class  
Wed, Mar 13  Spring Break — no class  
16  Mon, Mar 18 
Finish 2.3 2.4: More about Induction 
2.4.{3, 6 (hint: prove \(7\) divides \(2^{3n}1\) for all \(n \geq 1\)), 8, 12, 13, 15, 16} 
17  Wed, Mar 20 
Quiz 3 2.5: Contradiction and The Pigeonhole Principle 
2.5.{3,4,5,11,17,22} 
18  Mon, Mar 25  Finish 2.5  2.5.{32,33,34,35,36} 
19  Wed, Mar 27 
Homework 4 due Homework 5 assigned 3.3: Proving Set Properties 

20  Mon, Apr 1  Finish 3.3  3.3.{2,3abc,5,6,11,13,20,21,22,23} 
21  Wed, Apr 3 
Quiz 4 4.1: Definitions, Diagrams, and Inverses 
4.1.{1, 3, 6, 7, 12, 13, 14, 15, 20} 
22  Mon, Apr 8  Catchup / Review  
23  Wed, Apr 10 
Homework 5 due Homework 6 assigned Exam 2 

24  Mon, Apr 15 
Finish 4.1 4.3: Functions and Set Cardinality 
4.3.{1,2,3,4,5,11,14,16,19,21} 
25  Wed, Apr 17 
Quiz 5 4.2: The Composition Operation 
4.2.{1,3,5,10} 4.3.{6,7,8} 
Mon, Apr 22  Easter Break — no class  
26  Wed, Apr 24  4.4: Properties of Relations  4.4.{1,3,4,9,10,15,21a} 
27  Mon, Apr 29 
Finish 4.4 4.5: Equivalence Relatios 
4.5.{group work from class} 
28  Wed, May 1 
Homework 6 due Quiz 6 
Read Theorem 4.3.10 Read Example 4.3.10 4.3.{28, 29, 30} 