Jay Pantone

Assistant Professor
Marquette University

jay.pantone@marquette.edu


Math 2100 / 2105 / 2350

Spring 2019, Marquette University

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

Course Information

The official syllabus is here.

 
The Revision Cover Sheet must be submitted with every revision.

 
Homework Assignments

Announcements

Exams

Textbook

LaTeX Resources

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.

Tutorials

I'm happy to help troubleshoot your LaTeX in office hours!


Important Dates
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 4-8 Midterm exams
March 10-17 Spring break, no classes
April 12 Last day to withdraw from classes
April 18-22 Easter break, no classes
May 4 Last day of classes
TBD Math 2100/2105/2350 final exam

Google Calendar

Daily Calendar
# 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: Truth-tellers, 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
4 Mon, Jan 28 1.4: Predicates
5 Wed, Jan 30 Quiz 0 (ungraded)
1.5: Implications
6 Mon, Feb 4 Finish 1.5
7 Wed, Feb 6 Homework 1 due
Homework 2 assigned
3.1: Set Definitions and Operations
8 Mon, Feb 11 3.2: More Operations on Sets
9 Wed, Feb 13 Quiz 1
2.1: Mathematical Writing
10 Mon, Feb 18 Catchup / Review
11 Wed, Feb 20 Homework 2 due
Homework 3 assigned
Exam 1
12 Mon, Feb 25 2.2: Proofs About Numbers
13 Wed, Feb 27 Quiz 2
2.3: Mathematical Induction
14 Mon, Mar 4 Finish 2.3
2.4: More about Induction
15 Wed, Mar 6 Homework 3 due
Homework 4 assigned
Finish 2.4
Mon, Mar 11 Spring Break — no class
Wed, Mar 13 Spring Break — no class
16 Mon, Mar 18 2.5: Contradiction and The Pigeonhole Principle
17 Wed, Mar 20 Quiz 3
Finish 2.5
18 Mon, Mar 25 3.3: Proving Set Properties
19 Wed, Mar 27 Homework 4 due
Homework 5 assigned
Finish 3.3
20 Mon, Apr 1 3.5: Logic Circuits
21 Wed, Apr 3 Quiz 4
4.1: Definitions, Diagrams, and Inverses
22 Mon, Apr 8 Catchup / Review
23 Wed, Apr 10 Homework 5 due
Homework 6 assigned
Exam 2
24 Mon, Apr 15 4.2: The Composition Operation
25 Wed, Apr 17 Quiz 5
4.3: Functions and Set Cardinality
Mon, Apr 22 Easter Break — no class
26 Wed, Apr 24 Homework 6 due
Finish 4.3
27 Mon, Apr 29 4.4: Properties of Relations
28 Wed, May 1 Quiz 6
4.5: Equivalence Relatios