NOTE: This version of the calendar was distributed on the first day of class –  minor updates may be made through the semester as circumstances dictate.  The live, most up-to-date version of the calendar can always be found here.

UPDATE 9/23:  Changed due date for Project Deliverable #1 (“Bridges & Walking Tours”) to 10/10.

 Date Topic Homework Project Milestones 1 8/27/2019 Sec 1.1: Sets Sec 1.1 p.7: 1, 12, 19, 26, 29, 35 2 8/29/2019 Sec 1.2, 1.3: Cartesian Products, Subsets (Webwork 1) 3 9/3/2019 Sec 1.4, 1.5, 1.6, 1.7: Set operations (Webwork 2) 9/5/2019 Monday Schedule 4 9/10/2019 Sec 1.7, 1.8, 2.1: Collections of sets Sec 1.8 p.29: 3, 5, 6, 8 5 9/12/2019 Sec 2.1, 2.2, 2.3: Statements (and, or, not, if) (Webwork 3) 6 9/17/2019 Sec 2.4, 2.5, 2.6: Biconditional, Truth tables, Logical equivalence (Webwork 3) 7 9/19/2019 Sec 2.7, 2.8, 2.9, 2.10, 2.11: Quantifiers, Translation, Negation (Webwork 4) 8 9/24/2019 Sec 3.1-3.4: Lists, factorials (Webwork 5) 9 9/26/2019 EXAM 1 (through 2.11 or 2.6 – TBD) Assign Deliverable #1 – OpenLab – introduce Puzzle 10/1/2019 NO CLASSES 10 10/3/2019 Sec 3.5, 3.6: Counting subsets, Binomial Theorem (Chapter 4: Direct Proof) (finish Webwork 5) 10 min inclass – questions about puzzle? 10/8/2019 NO CLASSES 11 10/10/2019 Chapter 4: Definitions, Basic facts Chapter 4: 1, 6, 7, 15, 16 12 10/15/2019 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 10/17/2019 Topics in Number Theory #1: Divisibility, Division Algorithm Chapter 4: 4, 5, 10, 11 14 10/22/2019 Chapter 5: Contrapositive Proof Chapter 5: 1, 4, 9 16 10/24/2019 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 10/29/2019 EXAM 2 Assign Deliverable #5 – OpenLab – Proof Journal 17 10/31/2019 Chapter 6: Proof by contradiction Topics in Number Theory #3: Applying Euclid’s Lemma Chapter 6: 3,4,5,8,9 18 11/5/2019 Chapter 7: If-and-only-if proofs; existence proofs Chapter 7: 5, 6, 7, 9, 12 (“What is Truth” activity?) 19 11/7/2019 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 11/12/2019 Chapter 8: Proofs involving sets Chapter 8: 3, 4, 7, 18, 19, 20 21 11/14/2019 Chapter 9: Disproof Chapter: 3, 4, 5 Inclass – group meetings with instructor (2) Assign Group Presentation 22 11/19/2019 Chapter 10: Induction (introduction) Chapter 10: 1, 2, 5, 10, 15 23 11/21/2019 Chapter 10: Induction (examples) Deliverable #6 – group paper initial draft due in class 24 11/26/2019 EXAM 3 (Through Chp 10) 11/28/2019 COLLEGE CLOSED 25 12/3/2019 Topics in Number Theory #5: Strong induction examples Handout: Theorems NT 5.2, 5.3 26 12/5/2019 Sec 11.0, 11.1: Relations and their properties Section 11.0: 3,4 (Webwork 6) Deliverable #7 – group paper final draft due in class Deliverable #8 – inclass group presentations (2-3 per day) 27 12/10/2019 Topics in Number Theory #6: Equivalence Classes, equivalence relations, congruence mod n Section 11.1: 12, 13, 16 In addition, complete Example 11.8 at the top of p182. Deliverable #8 – inclass group presentations (2-3 per day) 28 12/12/2019 Topics in Number Theory #7: Closure properties of congruence mod n Section 11.4: 2, 3, 5, 6, 7 Handout: Theorem NT 6.2, 6.3 29 12/17/2019 Topics in Number Theory #8 (select from optional topics): Divisibility tests, Linear Congruences, Fermat’s Theorem. Final Exam Review 30 12/19/2019 FINAL EXAM Deliverable #9 – reflection – due in class