NOTE: The calendar below was distributed on the first day of class. Occasionally minor changes will take place – these will be announced in class and updated in the live version of the calendar.
MAT 2071 CALENDAR UPDATED 8/26/17:
Day  Date  Topic  Homework (TENTATIVE)  Project Milestones 
1  8/29/2017  Sec 1.1: Sets  Sec 1.1 p.7: 1, 12, 19, 26, 29, 35  
2  8/31/2017  Sec 1.2, 1.3: Cartesian Products, Subsets  (Webwork 1)  
3  9/5/2017  Sec 1.4, 1.5, 1.6, 1.7: Set operations  (Webwork 2)  
4  9/7/2017  Sec 1.7, 1.8, 2.1: Collections of sets  Sec 1.8 p.28: 3, 5, 6, 8  
5  9/12/2017  Sec 2.1, 2.2, 2.3: Statements (and, or, not, if)  (Webwork 3)  
6  9/14/2017  Sec 2.4, 2.5, 2.6: Biconditional, Truth tables, Logical equivalence  (Webwork 3)  
7  9/19/2017  NOTE: CLASSES FOLLOW THURSDAY SCHEDULE Sec 2.7, 2.8, 2.9, 2.10, 2.11: Quantifiers, Translation, Negation 
(Webwork 4)  
9/21/2017  NO CLASSES  
8  9/26/2017  Sec 3.1, 3.2: Lists, factorials  (Webwork 5)  
9  9/28/2017  EXAM 1 (through 2.11 or 2.6 – TBD)  Assign Deliverable #1 – OpenLab – introduce Puzzle  
10  10/3/2017  Sec 3.3. 3.4: Counting subsets, Binomial Theorem (Chapter 4: Direct Proof) 
(finish Webwork 5)  10 min inclass – questions about puzzle? 
11  10/5/2017  Chapter 4: Definitions, Basic facts  Deliverable #1 due. Deliverable #2 – group work in class – play with puzzle in group (30 min) Assign Deliverable #3 – OpenLab – read & create conjecture 

12  10/10/2017  Chapter 4: Direct proof  Chapter 4 p.100: 1, 6, 7, 15, 16  
13  10/12/2017  Chapter 5: Contrapositive Proof  Chapter 5 p.110: 1, 4, 9, 20* (*optional) 
Deliverable #3 – bring conjecture to class Deliverable #4 – group work in class – choose a conjecture to work on (40 min) 
14  10/17/2017  Chapter 6: Proof by contradiction  Chapter 6 p.116: 3,4,5,8,9  
16  10/19/2017  Chapter 7: Ifandonlyif proofs; existence proofs (midsemester grades due)  Chapter 7 p129: 5, 9, 10, 12  
15  10/24/2017  EXAM 2 (through Chapter 5 or 6 – TBD)  Assign Deliverable #5 – OpenLab – Proof Journal  
17  10/26/2017  Chapter 8: Proofs involving sets  Chapter 8 p145: 3, 7, 18, 19  
18  10/31/2017  Chapter 9: Disproof  Chapter 9 p152: 3, 4, 5  (“What is Truth” activity?) 
19  11/2/2017  Chapter 10: Induction (introduction)  Chapter 10 p167: 1, 2, 5, 10, 15  Deliverable #5 – OpenLab – Proof Journal due. Inclass – group meetings with instructor Assign Group paper (1) 
20  11/7/2017  Chapter 10: Induction (examples)  
21  11/9/2017  Chapter 10: Strong Induction, proof by minimum counterexample  Chapter 10 p167: 25, 28, 30  Inclass – group meetings with instructor (2) Assign Group Presentation 
22  11/14/2017  Sec 11.0, 11.1: Relations and their properties  Section 11.0 p178: 3,4 (Webwork 6) 

23  11/16/2017  EXAM 3 (through Chp. 10)  Deliverable #6 – group paper initial draft due in class  
11/21/2017  FRIDAY SCHEDULE  
11/23/2017  COLLEGE CLOSED  
24  11/28/2017  Sec 11.2, 11.3, 11.4: Equivalence relations and partitions, Integers modulo n real numbers, graph theory 
Sec 11.2 p187: 1,2,7 In addition, complete Example 11.8 at the top of p182. 

25  11/30/2017  Sec 11.5, 12.1, 12.2: Relations between sets, Functions, Injective and surjective functions  Sec 12.1 p200: 1,3,7,10 Sec 12.2 p204: 1,7,8 

26  12/5/2017  Sec 12.3: The pigeonhole principle (optional) Sec 12.4: Composition of functions 
Sec 12.3 p207: 1 (optional) Sec 12.4 p210: 3, 7, 10 
Deliverable #7 – group paper final draft due in class Deliverable #8 – inclass group presentations (23 per day) 
27  12/7/2017  Sec 12.5, 12.6: Inverse functions, image and preimage  Sec 12.5 p214: 2, 6 Sec 12.6 p216: 1, 2 
Deliverable #8 – inclass group presentations (23 per day) 
28  12/12/2017  Sec 13.1: Cardinality  Sec 13.1 p222: 1, 4, 5  
29  12/14/2017  Sec 13.2: Countable and uncountable sets Sec 13.3: Comparing Cardinalities 
none  
30  12/19/2017  FINAL EXAM  Deliverable #9 – reflection – due in class 
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