Link to liveΒ version of calendar.

CALENDAR UPDATED 10/24/16 (below) – minor updates to Project deadlines.

Day Date Topic Homework (TENTATIVE) Project Milestones
1 8/25/2016 Sec 1.1: Sets Sec 1.1 p.7: 1, 12, 19, 26, 29, 35
2 8/30/2016 Sec 1.2, 1.3: Cartesian Products, Subsets (Webwork 1)
3 9/1/2016 Sec 1.4, 1.5, 1.6, 1.7: Set operations (Webwork 2)
4 9/6/2016 Sec 1.7, 1.8, 2.1: Collections of sets Sec 1.8 p.28: 3, 5, 6, 8
5 9/8/2016 Sec 2.1, 2.2, 2.3: Statements (and, or, not, if) (Webwork 3)
6 9/13/2016 Sec 2.4, 2.5, 2.6: Biconditional, Truth tables, Logical equivalence (Webwork 3)
7 9/15/2016 NOTE: CLASSES FOLLOW TUESDAY SCHEDULE
Sec 2.7, 2.8, 2.9, 2.10, 2.11: Quantifiers, Translation, Negation
(Webwork 4)
8 9/20/2016 Sec 3.1, 3.2: Lists, factorials (Webwork 5)
9 9/22/2016 EXAM 1 (through 2.6) Assign Deliverable #1 – OpenLab – introduce Puzzle
10 9/27/2016 Sec 3.3. 3.4: Counting subsets, Binomial Theorem
(Chapter 4: Direct Proof)
(finish Webwork 5) 10 min inclass – questions about puzzle?
11 9/29/2016 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
10/4/2016 COLLEGE CLOSED
10/6/2016 MONDAY SCHEDULE
10/11/2016 COLLEGE CLOSED
12 10/13/2016 Chapter 4: Direct proof Chapter 4 p.100: 1, 6, 7, 15, 16
13 10/14/2016 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 10/18/2016 Chapter 6: Proof by contradiction Chapter 6 p.116: 3,4,5,8,9
16 10/20/2016 Chapter 7: If-and-only-if proofs; existence proofs (midsemester grades due) Chapter 7 p129: 5, 9, 10, 12
15 10/25/2016 EXAM 2 (through Chapter 5) Assign Deliverable #5 – OpenLab – Proof Journal
17 10/27/2016 Chapter 8: Proofs involving sets Chapter 8 p145: 3, 7, 18, 19
18 11/1/2016 Chapter 9: Disproof Chapter 9 p152: 3, 4, 5
19 11/3/2016 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 11/8/2016 Chapter 10: Induction (examples)
21 11/10/2016 Chapter 10: Strong Induction, proof by minimum counterexample Chapter 10 p167: 25, 28, 30 Inclass – group meetings with instructor (2)
Assign Group Presentation
22 11/15/2016 Sec 11.0, 11.1: Relations and their properties Section 11.0 p178: 3,4
(Webwork 6)
23 11/17/2016 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.
Deliverable #6 – group paper initial draft due in class
24 11/22/2016 EXAM 3 (throughΒ Chp 10)
11/24/2016 COLLEGE CLOSED
25 11/29/2016 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 12/1/2016 Sec 12.3: The pigeonhole principle
Sec 12.4: Composition of functions
Sec 12.3 p207: 1
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 12/6/2016 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 12/8/2016 Sec 13.1: Cardinality Sec 13.1 p222: 1, 4, 5
12/13/2016 READING DAY – NO CLASSES
29 12/15/2016 Sec 13.2: Countable and uncountable sets
Sec 13.3: Comparing Cardinalities
none
30 12/20/2016 FINAL EXAM Deliverable #9 – reflection – due in class