NOTE: This version of the calendar was distributed on the first day of class – minor updates may be made through the semester as circumstances dictate. The live, most uptodate version of the calendar can always be found here.
UPDATE 9/23: Changed due date for Project Deliverable #1 (“Bridges & Walking Tours”) to 10/10.
Date  Topic  Homework  Project Milestones  
1  8/27/2019  Sec 1.1: Sets  Sec 1.1 p.7: 1, 12, 19, 26, 29, 35  
2  8/29/2019  Sec 1.2, 1.3: Cartesian Products, Subsets  (Webwork 1)  
3  9/3/2019  Sec 1.4, 1.5, 1.6, 1.7: Set operations  (Webwork 2)  
9/5/2019  Monday Schedule  
4  9/10/2019  Sec 1.7, 1.8, 2.1: Collections of sets  Sec 1.8 p.29: 3, 5, 6, 8  
5  9/12/2019  Sec 2.1, 2.2, 2.3: Statements (and, or, not, if)  (Webwork 3)  
6  9/17/2019  Sec 2.4, 2.5, 2.6: Biconditional, Truth tables, Logical equivalence  (Webwork 3)  
7  9/19/2019  Sec 2.7, 2.8, 2.9, 2.10, 2.11: Quantifiers, Translation, Negation  (Webwork 4)  
8  9/24/2019  Sec 3.13.4: Lists, factorials  (Webwork 5)  
9  9/26/2019  EXAM 1 (through 2.11 or 2.6 – TBD)  Assign Deliverable #1 – OpenLab – introduce Puzzle  
10/1/2019  NO CLASSES  
10  10/3/2019  Sec 3.5, 3.6: Counting subsets, Binomial Theorem (Chapter 4: Direct Proof) 
(finish Webwork 5)  10 min inclass – questions about puzzle? 
10/8/2019  NO CLASSES  
11  10/10/2019  Chapter 4: Definitions, Basic facts  Chapter 4: 1, 6, 7, 15, 16  
12  10/15/2019  Chapter 4: Direct proof  Deliverable #1 due. Deliverable #2 – group work in class – play with puzzle in group (30 min) Assign Deliverable #3 – OpenLab – read & create conjecture 

13  10/17/2019  Topics in Number Theory #1: Divisibility, Division Algorithm  Chapter 4: 4, 5, 10, 11  
14  10/22/2019  Chapter 5: Contrapositive Proof  Chapter 5: 1, 4, 9  
16  10/24/2019  Topics in Number Theory #2: GCD, Euclid’s Lemma  GCD Problems: Chapter 4: 27, 28 Chapter 5: 29, 31 
Deliverable #3 – bring conjecture to class Deliverable #4 – group work in class – choose a conjecture to work on (40 min) 
15  10/29/2019  EXAM 2  Assign Deliverable #5 – OpenLab – Proof Journal  
17  10/31/2019  Chapter 6: Proof by contradiction Topics in Number Theory #3: Applying Euclid’s Lemma 
Chapter 6: 3,4,5,8,9  
18  11/5/2019  Chapter 7: Ifandonlyif proofs; existence proofs  Chapter 7: 5, 6, 7, 9, 12  (“What is Truth” activity?) 
19  11/7/2019  Topics in Number Theory #4: Infinitude of Primes, Fundamental Theorem of Arithmetic  (Chapter 8 – see below)  Deliverable #5 – OpenLab – Proof Journal due. Inclass – group meetings with instructor Assign Group paper (1) 
20  11/12/2019  Chapter 8: Proofs involving sets  Chapter 8: 3, 4, 7, 18, 19, 20  
21  11/14/2019  Chapter 9: Disproof  Chapter: 3, 4, 5  Inclass – group meetings with instructor (2) Assign Group Presentation 
22  11/19/2019  Chapter 10: Induction (introduction)  Chapter 10: 1, 2, 5, 10, 15  
23  11/21/2019  Chapter 10: Induction (examples)  Deliverable #6 – group paper initial draft due in class  
24  11/26/2019  EXAM 3 (Through Chp 10)  
11/28/2019  COLLEGE CLOSED  
25  12/3/2019  Topics in Number Theory #5: Strong induction examples  Handout: Theorems NT 5.2, 5.3  
26  12/5/2019  Sec 11.0, 11.1: Relations and their properties  Section 11.0: 3,4 (Webwork 6) 
Deliverable #7 – group paper final draft due in class Deliverable #8 – inclass group presentations (23 per day) 
27  12/10/2019  Topics in Number Theory #6: Equivalence Classes, equivalence relations, congruence mod n  Section 11.1: 12, 13, 16 In addition, complete Example 11.8 at the top of p182. 
Deliverable #8 – inclass group presentations (23 per day) 
28  12/12/2019  Topics in Number Theory #7: Closure properties of congruence mod n  Section 11.4: 2, 3, 5, 6, 7 Handout: Theorem NT 6.2, 6.3 

29  12/17/2019  Topics in Number Theory #8 (select from optional topics): Divisibility tests, Linear Congruences, Fermat’s Theorem. Final Exam Review 

30  12/19/2019  FINAL EXAM  Deliverable #9 – reflection – due in class 
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