UPDATE 12/10/18: Updated homework assignment Day 28
UPDATE 12/3/18: Updated homework assignment Day 27
UPDATE 11/25/18: Updated homework assignment Day 25
UPDATE 11/5/18: Updated homework assignments Days 19 & 20
UPDATE 10/29/18: Updated homework assignment Day 18
UPDATE 10/21/18: Minor updates to days 15-16 (added “TBD” assignment, adjusted Project Milestones).
UPDATE 10/15/18: Minor updates to days 13-14.
UPDATE 10/4/18:  Minor updates, mostly around upcoming due dates for Project Milestones.

NOTE: The calendar below is slightly different from that distributed on the first day of class – in particular, the Number Theory Topics have been distributed throughout the semester, instead of grouped together at the end.  This is the official version of the calendar for the semester, although minor updates may still be made as circumstances dictate.  The live, most up-to-date version of the calendar can always be found here.

 Day Date Topic Homework Project Milestones 1 8/28/2018 Sec 1.1: Sets Sec 1.1 p.7: 1, 12, 19, 26, 29, 35 2 8/30/2018 Sec 1.2, 1.3: Cartesian Products, Subsets (Webwork 1) 3 9/4/2018 Sec 1.4, 1.5, 1.6, 1.7: Set operations (Webwork 2) 4 9/6/18 Sec 1.7, 1.8, 2.1: Collections of sets Sec 1.8 p.28: 3, 5, 6, 8 9/11/2018 NO CLASSES 5 9/13/2018 Sec 2.1, 2.2, 2.3: Statements (and, or, not, if) (Webwork 3) 9/18/2018 NO CLASSES 6 9/20/2018 Sec 2.4, 2.5, 2.6: Biconditional, Truth tables, Logical equivalence (Webwork 3) 7 9/25/2018 Sec 2.7, 2.8, 2.9, 2.10, 2.11: Quantifiers, Translation, Negation (Webwork 4) 8 9/27/2018 Sec 3.1, 3.2: Lists, factorials (Webwork 5) 9 10/2/2018 EXAM 1 (through 2.11 or 2.6 – TBD) Assign Deliverable #1 – OpenLab – introduce Puzzle 10 10/4/2018 Sec 3.3. 3.4: Counting subsets, Binomial Theorem (Chapter 4: Direct Proof) (finish Webwork 5) 10 min inclass – questions about puzzle? 11 10/9/2018 Chapter 4: Definitions, Basic facts Chapter 4 p.100: 1, 6, 7, 15, 16 12 10/11/2018 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 14 10/16/2018 Topics in Number Theory #1: Divisibility, Division Algorithm Chapter 4 p.100: 4, 5, 10, 11 13 10/18/2018 Chapter 5: Contrapositive Proof Chapter 5 p.110: 1, 4, 9 15 10/23/2018 Topics in Number Theory #2: GCD, Euclid’s Lemma GCD Problems: Chapter 4 p.101: 27, 28 Chapter 5 p.110: 29, 31 Deliverable #3 – bring conjecture to class Deliverable #4 – group work in class – choose a conjecture to work on (40 min) 16 10/25/2018 EXAM 2 Assign Deliverable #5 – OpenLab – Proof Journal 17 10/30/2018 Chapter 6: Proof by contradiction Topics in Number Theory #3: Applying Euclid’s Lemma Chapter 6 p.116: 3,4,5,8,9 18 11/1/2018 Chapter 7: If-and-only-if proofs; existence proofs Chapter 7 p129: 5, 6, 7, 9, 12 (“What is Truth” activity?) 19 11/6/2018 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 11/8/2018 Chapter 8: Proofs involving sets Chapter 8 p145: 3, 4, 7, 18, 19, 20 21 11/13/2018 Chapter 9: Disproof Chapter 9 p152: 3, 4, 5 Inclass – group meetings with instructor (2) Assign Group Presentation 22 11/15/2018 Chapter 10: Induction (introduction) Chapter 10 p167: 1, 2, 5, 10, 15 23 11/20/2018 Chapter 10: Induction (examples) Deliverable #6 – group paper initial draft due in class 11/22/2018 COLLEGE CLOSED 24 11/27/2018 EXAM 3 (Through Chp 10) 25 11/29/2018 Topics in Number Theory #5: Strong induction examples Handout: Theorems NT 5.2, 5.3 26 12/4/2018 Sec 11.0, 11.1: Relations and their properties Section 11.0 p178: 3,4 (Webwork 6) Deliverable #7 – group paper final draft due in class Deliverable #8 – inclass group presentations (2-3 per day) 27 12/6/2018 Topics in Number Theory #6: Equivalence Classes, equivalence relations, congruence mod n Section 11.1 p182: 12, 13, 16 In addition, complete Example 11.8 at the top of p182. Deliverable #8 – inclass group presentations (2-3 per day) 28 12/11/2018 Topics in Number Theory #7: Closure properties of congruence mod n Section 11.4 p194: 2, 3, 5, 6, 7 Handout: Theorem NT 6.2, 6.3, 6.4 12/13/2018 READING DAY (NO CLASSES) 29 12/18/2018 Topics in Number Theory #8 (select from optional topics): Divisibility tests, Linear Congruences, Fermat’s Theorem. Final Exam Review 30 12/20/2018 FINAL EXAM Deliverable #9 – reflection – due in class