UPDATE 12/10/18: Updated homework assignment Day 28
UPDATE 12/3/18: Updated homework assignment Day 27
UPDATE 11/25/18: Updated homework assignment Day 25
UPDATE 11/5/18: Updated homework assignments Days 19 & 20
UPDATE 10/29/18: Updated homework assignment Day 18
UPDATE 10/21/18: Minor updates to days 1516 (added “TBD” assignment, adjusted Project Milestones).
UPDATE 10/15/18: Minor updates to days 1314.
UPDATE 10/4/18: Minor updates, mostly around upcoming due dates for Project Milestones.
NOTE: The calendar below is slightly different from that distributed on the first day of class – in particular, the Number Theory Topics have been distributed throughout the semester, instead of grouped together at the end. This is the official version of the calendar for the semester, although minor updates may still be made as circumstances dictate. The live, most uptodate version of the calendar can always be found here.
Day  Date  Topic  Homework  Project Milestones 
1  8/28/2018  Sec 1.1: Sets  Sec 1.1 p.7: 1, 12, 19, 26, 29, 35  
2  8/30/2018  Sec 1.2, 1.3: Cartesian Products, Subsets  (Webwork 1)  
3  9/4/2018  Sec 1.4, 1.5, 1.6, 1.7: Set operations  (Webwork 2)  
4  9/6/18  Sec 1.7, 1.8, 2.1: Collections of sets  Sec 1.8 p.28: 3, 5, 6, 8  
9/11/2018  NO CLASSES  
5  9/13/2018  Sec 2.1, 2.2, 2.3: Statements (and, or, not, if)  (Webwork 3)  
9/18/2018  NO CLASSES  
6  9/20/2018  Sec 2.4, 2.5, 2.6: Biconditional, Truth tables, Logical equivalence  (Webwork 3)  
7  9/25/2018  Sec 2.7, 2.8, 2.9, 2.10, 2.11: Quantifiers, Translation, Negation  (Webwork 4)  
8  9/27/2018  Sec 3.1, 3.2: Lists, factorials  (Webwork 5)  
9  10/2/2018  EXAM 1 (through 2.11 or 2.6 – TBD)  Assign Deliverable #1 – OpenLab – introduce Puzzle  
10  10/4/2018  Sec 3.3. 3.4: Counting subsets, Binomial Theorem (Chapter 4: Direct Proof) 
(finish Webwork 5)  10 min inclass – questions about puzzle? 
11  10/9/2018  Chapter 4: Definitions, Basic facts  Chapter 4 p.100: 1, 6, 7, 15, 16  
12  10/11/2018  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 

14  10/16/2018  Topics in Number Theory #1: Divisibility, Division Algorithm  Chapter 4 p.100: 4, 5, 10, 11  
13  10/18/2018  Chapter 5: Contrapositive Proof  Chapter 5 p.110: 1, 4, 9  
15  10/23/2018  Topics in Number Theory #2: GCD, Euclid’s Lemma  GCD Problems: Chapter 4 p.101: 27, 28 Chapter 5 p.110: 29, 31 
Deliverable #3 – bring conjecture to class Deliverable #4 – group work in class – choose a conjecture to work on (40 min) 
16  10/25/2018  EXAM 2  Assign Deliverable #5 – OpenLab – Proof Journal  
17  10/30/2018  Chapter 6: Proof by contradiction Topics in Number Theory #3: Applying Euclid’s Lemma 
Chapter 6 p.116: 3,4,5,8,9  
18  11/1/2018  Chapter 7: Ifandonlyif proofs; existence proofs  Chapter 7 p129: 5, 6, 7, 9, 12  (“What is Truth” activity?) 
19  11/6/2018  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  11/8/2018  Chapter 8: Proofs involving sets  Chapter 8 p145: 3, 4, 7, 18, 19, 20  
21  11/13/2018  Chapter 9: Disproof  Chapter 9 p152: 3, 4, 5  Inclass – group meetings with instructor (2) Assign Group Presentation 
22  11/15/2018  Chapter 10: Induction (introduction)  Chapter 10 p167: 1, 2, 5, 10, 15  
23  11/20/2018  Chapter 10: Induction (examples)  Deliverable #6 – group paper initial draft due in class  
11/22/2018  COLLEGE CLOSED  
24  11/27/2018  EXAM 3 (Through Chp 10)  
25  11/29/2018  Topics in Number Theory #5: Strong induction examples  Handout: Theorems NT 5.2, 5.3  
26  12/4/2018  Sec 11.0, 11.1: Relations and their properties  Section 11.0 p178: 3,4 (Webwork 6) 
Deliverable #7 – group paper final draft due in class Deliverable #8 – inclass group presentations (23 per day) 
27  12/6/2018  Topics in Number Theory #6: Equivalence Classes, equivalence relations, congruence mod n  Section 11.1 p182: 12, 13, 16 In addition, complete Example 11.8 at the top of p182. 
Deliverable #8 – inclass group presentations (23 per day) 
28  12/11/2018  Topics in Number Theory #7: Closure properties of congruence mod n  Section 11.4 p194: 2, 3, 5, 6, 7 Handout: Theorem NT 6.2, 6.3, 6.4  
12/13/2018  READING DAY (NO CLASSES)  
29  12/18/2018  Topics in Number Theory #8 (select from optional topics): Divisibility tests, Linear Congruences, Fermat’s Theorem. Final Exam Review 

30  12/20/2018  FINAL EXAM  Deliverable #9 – reflection – due in class 
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