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: If-and-only-if 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 (2-3 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 (2-3 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