Schedule

Day	Date	Topic	Homework	OpenLab Assignments	Project Milestones
1	8/27/2020	Sec 1.1: Sets	Sec 1.1 p.7: 1, 12, 19, 26, 29, 35	Discussion - Introductions and Mathography
2	9/1/2020	Sec 1.2, 1.3: Cartesian Products, Subsets	(Webwork 1)	Discussion - Advice from the Past
3	9/3/2020	Sec 1.4, 1.5, 1.6, 1.7: Set operations	(Webwork 2)
4	9/8/2020	Sec 1.7, 1.8, 2.1: Collections of sets	Sec 1.8 p.29: 3, 5, 6, 8
5	9/10/2020	Sec 2.1, 2.2, 2.3: Statements (and, or, not, if)	(Webwork 3)	Discussion – Sentences
6	9/15/2020	Sec 2.4, 2.5, 2.6: Biconditional, Truth tables, Logical equivalence	(Webwork 3)
7	9/17/2020	Sec 2.7, 2.8, 2.9, 2.10, 2.11: Quantifiers, Translation, Negation	(Webwork 4)
8	9/22/2020	Sec 3.1-3.4: Lists, factorials	(Webwork 5)
9	9/24/2020	EXAM 1 (through 2.6)			Assign Deliverable #1 - OpenLab - introduce Puzzle
	9/29/2020	MONDAY SCHEDULE
10	10/1/2020	Sec 3.5, 3.6: Counting subsets, Binomial Theorem (Chapter 4: Direct Proof)	(finish Webwork 5)		10 min inclass - questions about puzzle?
11	10/6/2020	Chapter 4: Definitions, Basic facts	Chapter 4: 1, 6, 7, 15, 16
12	10/8/2020	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	10/13/2020	Topics in Number Theory #1: Divisibility, Division Algorithm	Chapter 4: 4, 5, 10, 11
14	10/15/2020	Chapter 5: Contrapositive Proof	Chapter 5: 1, 4, 9
16	10/20/2020	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	10/22/2020	EXAM 2			Assign Deliverable #5 - OpenLab - Proof Journal
17	10/27/2020	Chapter 6: Proof by contradiction Topics in Number Theory #3: Applying Euclid's Lemma	Chapter 6: 3,4,5,8,9
18	10/29/2020	Chapter 7: If-and-only-if proofs; existence proofs MIDTERM GRADES DUE	Chapter 7: 5, 6, 7, 9, 12		("What is Truth" activity?)
19	11/3/2020	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	11/5/2020	Chapter 8: Proofs involving sets	Chapter 8: 3, 4, 7, 18, 19, 20
21	11/10/2020	Chapter 9: Disproof	Chapter 9: 3, 4, 5		Inclass - group meetings with instructor (2) Assign Group Presentation
22	11/12/2020	Chapter 10: Induction (introduction)	Chapter 10: 1, 2, 5, 10, 15
23	11/17/2020	Chapter 10: Induction (examples)			Deliverable #6 - group paper initial draft due in class Groups sign up for presentation slots (1st week in Dec).
24	11/19/2020	EXAM 3 (Through Chp 10)
25	11/24/2020	Topics in Number Theory #5: Strong induction examples	Handout: Theorems NT 5.2, 5.3
	11/26/2020	COLLEGE CLOSED (Thanksgiving)
26	12/1/2020	Sec 11.0, 11.1: Relations and their properties	Section 11.1: 3,4 (Webwork 6)		Deliverable #7 - group paper final draft due in class Deliverable #8 - inclass group presentations (2-3 per day)
27	12/3/2020	Topics in Number Theory #6: Equivalence Classes, equivalence relations, congruence mod n	Section 11.2: 12, 13, 16 In addition, complete Example 11.8 at the top of p208.		Deliverable #8 - inclass group presentations (2-3 per day)
28	12/8/2020	Topics in Number Theory #7: Closure properties of congruence mod n	Section 11.5: 2, 3, 5, 6, 7 Handout: Theorem NT 6.2, 6.3
	12/10/2020	NO CLASSES (Reading Day)
29	12/15/2020	Topics in Number Theory #8 (select from optional topics): Divisibility tests, Linear Congruences, Fermat's Theorem. Final Exam Review
30	12/17/2020	FINAL EXAM			Deliverable #9 - reflection - due in class

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