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