Jay Pantone

Assistant Professor
Marquette University

jay.pantone@marquette.edu


Math 2100 / 2350

Fall 2020, 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, F 12:00pm - 12:50pm
    Weasler Auditorium
  • Office Hours:
    Monday, 2:30pm - 3:30pm
    Microsoft Teams Tuesday, 1:00pm - 2:00pm
    Friday, 10:00am - 11:00am
    and by appointment
    Calc students have priority on Friday.

Course Information

The official syllabus is available 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.

Resources
Outside Tutorials

I'm happy to help troubleshoot your LaTeX in office hours and especially in the Microsoft Teams chat!


Important Dates
Wed, Aug 26 Classes begin
Thurs, Sept 3 Last day to add/drop classes or request CR/NC option
Mon, Sept 7 Labor Day, no classes
Fri, Oct 9 — Thurs, Oct 15 Midterm exams
Fri, Oct 16 Midterm break, no classes
Fri, Nov 13 Last day to withdraw from classes
Nov 27 - Dec 1 Thanksgiving break, no classes
Tues, Nov 24 Last day of classes
Thurs, Dec 3 Math 2100/2350 final exam

Daily Calendar
# Date Topics Suggested HW
& Announcements
1 Wed, Aug 26 Syllabus
7.1: Graph Theory (start)
Lecture Recording
First Day Questionnaire (submit answers on D2L, can be on your own paper)
2 Fri, Aug 28 Finish 7.1
[ no video recording, technical difficulties ]
Homework 1 assigned
7.1.{1abc, 7abcd, 10}
Note: A "simple graph" is one that does not have multiple edges between the same pair of vertices.
3 Mon, Aug 31 How to use Latex
1.3: Truth-tellers, Liars, and Propositional Logic (start)
[ no video recording, more technical difficulties >:( ]
4 Wed, Sept 2 Continue 1.3
Lecture Recording
1.3.{1bc, 5, 6, 9, 10}
5 Fri, Sept 4 Continue 1.3
Quiz 1 — 7.1, 1.3
Lecture Recording
Mon, Sept 7 Labor Day — no class
6 Wed, Sept 9 Finish 1.3
[ forgot to hit record >:( ]
1.3.{3, 7, 8, 11, 17, 21ace, 23}
7 Fri, Sept 11 1.4: Predicates
Lecture Recording
Homework 1 due
Homework 2 assigned
Quiz 2
8 Mon, Sept 14 Continue 1.4 (almost finished)
Lecture Recording
1.4.{5, 7, 8, 9, 10, 11, 12, 13, 16, 17}
9 Wed, Sept 16 Finish 1.4
Start 1.5: Implications
Lecture Recording
1.5.{1, 4, 5, 8, 9, 10, 11}
10 Fri, Sept 18 Exam 1
11 Mon, Sept 21 Finish 1.5
Lecture Recording
1.5.{20, 22ab, 25, 26, 27}
12 Wed, Sept 23 3.1: Set Definitions and Operations
Homework 2 due
Homework 3 assigned
[ today's lecture will not be posted on youtube due to crude and disruptive language by a student. please email me directly if you would like a copy of the lecture recording. ]
3.1.{3, 4, 6, 7, 9, 10, 11}
13 Fri, Sept 25 Continue 3.1
Quiz 3
Lecture Recording
3.1.{13, 18}
14 Mon, Sept 28 class canceled due to technical difficulties :(
15 Wed, Sept 30 Finish 3.1
Lecture Recording
3.1.{16, 17}
16 Fri, Oct 2 3.2: More Operations On Sets
Pre-Recorded Lecture (see my email!)
Quiz 4
3.2.{1ab, 2, 10abd, 11, 18}
17 Mon, Oct 5 Finish 3.2
2.1: Mathematical Writing
Lecture Recording
3.2.{3, 4, 10c, 12, 13, 14}
18 Wed, Oct 7 Continue 2.1
Lecture Recording
Homework 3 due
no suggested homework yet, but review the steps for writing proofs that we discussed
19 Fri, Oct 9 Exam 2
20 Mon, Oct 12 Finish 2.1
2.2: Proofs about Numbers
Lecture Recording
for any proof exercises, do not "write a letter", just write a proof
2.1.{1, 3, 4, 5, 6, 7, 9, 13}
21 Wed, Oct 14 Continue 2.2
Lecture Recording
Homework 4 assigned
2.2.{7, 8, 9, 10, 14, 16, 17}
Fri, Oct 16 Midterm Break — no class
22 Mon, Oct 19 Finish 2.2
Lecture Recording
2.2.{11, 12, 15, 19, 22, 27, 28}
23 Wed, Oct 21 2.3: Mathematical Induction (started)
Lecture Recording
none from 2.3 yet (just prep for quiz 5)
24 Fri, Oct 23 Continue 2.3
Lecture Recording
Quiz 5 (covers only 2.2)
2.3.{1a, 1b, 8a, 8b}
25 Mon, Oct 26
26 Wed, Oct 28 Homework 4 due
Homework 5 assigned
27 Fri, Oct 30 Quiz 6
28 Mon, Nov 2
29 Wed, Nov 4
30 Fri, Nov 6 Exam 3
31 Mon, Nov 9
32 Wed, Nov 11 Homework 5 due
Homework 6 assigned
33 Fri, Nov 13 Quiz 7
34 Mon, Nov 16
35 Wed, Nov 18
36 Fri, Nov 20 Quiz 8
37 Mon, Nov 23 Homework 6 due
Thurs, Dec 3 Final Exam