Weekly Syllabus, Math 211 Discrete Mathematics, Spring 2025
Be sure to check back, because this will be updated during the semester.
- PCCI due refers to Pre-Class Check-Ins submitted through Canvas
- PS due refers to Problem Sets uploaded to Canvas
- There is no required textbook, but there are several texts that you may choose to use as a reference:
- Ernst: Introduction to Proof via Inquiry-Based Learning
- Epp: Discrete Mathematics with Applications, 4th edition, on reserve in the library
- Levin: Discrete Mathematics, An Open Introduction, 4th edition
- Sundstrom: Mathematical Reasoning, Writing and Proof, Version 3 and accompanying screencasts
| Week | Major Topics | References | Notes / Due this week | |
|---|---|---|---|---|
| 1 | Jan 22 - Jan 24 | Welcome to Discrete Math! | Classes begin Wed 1/22 Background Questionairre due Link in Canvas > Submit Assignments |
|
| 2 | Jan 27 - Jan 31 | Introduction to formal logic | Epp: 2.1, 2.2 Levin: 0.2, 1.1, 1.2 Sundstrom: 1.1, 2.1, 2.2 |
PCCI due Mon 1/27 @ 9:00 am PS #1 due Thur 1/30 @ 11:59 pm |
| 3 | Feb 3 - Feb 7 | Logic of quantified statements | Epp: 3.1, 3.2 Levin: 1.3 Sundstrom: 2.4 |
PCCI due Mon 2/3 @ 9:00 am PS #2 due Thur 2/6 @ 11:59 pm |
| 4 | Feb 10 - Feb 14 | Methods of proof: Direct, contradiction, contraposition |
Epp: 4.1, 4.2, 4.4, 4.6, 4.7 Levin: 1.4 Sundstrom: 1.2, 3.1-3.4 |
PCCI due Mon 2/10 @ 9:00 am PS #3 due Thur 2/13 @ 11:59 pm |
| 5 | Feb 17 - Feb 21 | Methods of proof: Induction |
Epp: 5.2, 5.3 Levin: 4.5 Sundstrom: 4.1 |
PCCI due Mon 2/17 @ 9:00 am PS #4 due Fri 2/20 @ 11:59 pm |
| 6 | Feb 24 - Feb 28 | Methods of proof: Putting it all together |
Ernst: Appendix A Epp: 5.4 Levin: 1.4, 4.5 Sundstrom: 4.2 |
PCCI due Mon 2/24 @ 9:00 am Cheat Sheet due Mon 2/24 @ 9:00 am Exam 1 due Fri 2/28 @ 5:00 pm |
| 7 | Mar 3 - Mar 7 | Set theory | Epp: 6.1-6.3 Levin: 1.5.2, 5.1 Sundstrom: 5.1-5.4 |
PCCI due Mon 3/3 @ 9:00 am |
| Mar 13 - Mar 17 | Spring Break | |||
| 8 | Mar 17 - Mar 21 | More set theory | Epp: 6.1-6.3 Levin: 1.5.2, 5.1 Sundstrom: 5.1-5.4 |
No class Wed 3/19, MAP Day PS #5 due Thur 3/20 @ 11:59 pm |
| 9 | Mar 24 - Mar 28 | Functions | Epp: 7.1-7.4 Levin: 1.5.3 Sundstrom: 6.1-6.5 |
PCCI due Mon 3/24 @ 9:00 am PS #6 due Thur 3/27 @ 11:59 pm |
| 10 | Mar 31 - Apr 4 | Relations | Epp: 1.3, 8.1-8.4 Levin: 1.5.4 Sundstrom: 7.1-7.4 |
PCCI due Mon 3/31 @ 9:00 am PS #7 due Thur 4/3 @ 11:59 pm |
| 11 | Apr 7 - Apr 11 | Counting I: Multiplication rule, permutations |
Epp: 9.1-9.3 Levin: 3.2-3.4 |
PCCI due Mon 4/7 @ 9:00 am PS #8 due Thur 4/10 @ 11:59 pm |
| 12 | Apr 14 - Apr 18 | Counting II: The pidgeon hole principle, combinations |
Epp: 9.4, 9.5, 9.7 Levin: 3.2-3.4 |
PCCI due Mon 4/14 @ 9:00 am PS #9 due Thur 4/17 @ 11:59 pm |
| 13 | Apr 21 - Apr 25 | Introduction to graph theory | Epp: 10.1, 10.2 Levin: 2.1, 2.3 |
PCCI due Mon 4/21 @ 9:00 am Cheat Sheet due Mon 4/21 @ 9:00 am Exam 2 due Fri 4/25 @ 5:00 pm |
| 14 | Apr 28 - May 2 | Walks, paths, & circuits | Epp: 10.4 Levin: 2.4, 2.5 |
PCCI due Mon 4/28 @ 9:00 am |
| May 5 - May 9 | Finals Week | Final Problem Set due Tue 5/6 @ 11:59 pm |