The table below shows the schedule of topics (including WeBWorK assignments) for the semester. It was updated on 10/6 to reflect our current progress, and may be updated again as the semester progresses (the original schedule is shown on the right, for your reference).
| Day | Date | Topic - UPDATED 10/5 | Homework | Project Milestones | Topic - ORIGINAL SCHEDULE |
|---|---|---|---|---|---|
| 1 | 8/26/2021 | Sec 1.1: Sets | Sec 1.1 p.7: 1, 12, 19, 26, 29, 35 | Sec 1.1: Sets | |
| 2 | 8/31/2021 | Sec 1.2, 1.3: Cartesian Products, Subsets | (Webwork 1) | Sec 1.2, 1.3: Cartesian Products, Subsets |
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| 3 | 9/2/2021 | Sec 1.4, 1.5, 1.6, 1.7: Set operations | (Webwork 2) | Sec 1.4, 1.5, 1.6, 1.7: Set operations | |
| 9/7/2021 | No Classes 9/3-9/8 | No Classes 9/3-9/8 | |||
| 4 | 9/9/2021 | Sec 1.7, 1.8, 2.1: Collections of sets | Sec 1.8 p.29: 3, 5, 6, 8 | Sec 1.7, 1.8, 2.1: Collections of sets | |
| 5 | 9/14/2021 | Sec 2.1, 2.2, 2.3: Statements (and, or, not, if) | (Webwork 3) | Sec 2.1, 2.2, 2.3: Statements (and, or, not, if) | |
| 9/16/2021 | No Classes 9/15-9/16 | No Classes 9/15-9/16 | |||
| 6 | 9/21/2021 | Sec 2.4, 2.5, 2.6: Biconditional, Truth tables, Logical equivalence | (Webwork 3) | Sec 2.4, 2.5, 2.6: Biconditional, Truth tables, Logical equivalence | |
| 7 | 9/23/2021 | Sec 2.7, 2.8, 2.9, 2.10, 2.11: Quantifiers, Translation, Negation | (Webwork 4) | Sec 2.7, 2.8, 2.9, 2.10, 2.11: Quantifiers, Translation, Negation | |
| 8 | 9/28/2021 | (finish Negations) Exam 1 Review | Sec 3.1-3.4: Lists, factorials | ||
| 9 | 9/30/2021 | EXAM 1 (through 2.6) | Assign Deliverable #1 - OpenLab - introduce Puzzle | EXAM 1 (through 2.6) | |
| 10 | 10/5/2021 | Sec 3.1-3.4: Lists, factorials | (Webwork 5) | 10 min inclass - questions about puzzle? | Sec 3.5, 3.6: Counting subsets, Binomial Theorem (Chapter 4: Direct Proof) |
| 11 | 10/7/2021 | Sec 3.5, 3.6: Counting subsets, Binomial Theorem (Chapter 4: Direct Proof) | (finish Webwork 5) | Chapter 4: Definitions, Basic facts | |
| 12 | 10/12/2021 | Chapter 4: Definitions, Basic facts | Chapter 4: 1, 6, 7, 15, 16 | Deliverable #1 due. Deliverable #2 - group work in class - play with puzzle in group (30 min) Assign Deliverable #3 - OpenLab - read & create conjecture | Chapter 4: Direct proof |
| 13 | 10/14/2021 | Chapter 4: Direct proof | Topics in Number Theory #1: Divisibility, Division Algorithm | ||
| 14 | 10/19/2021 | Topics in Number Theory #1: Divisibility, Division Algorithm | Chapter 4: 4, 5, 10, 11 | Chapter 5: Contrapositive Proof | |
| 15 | 10/21/2021 | Chapter 5: Contrapositive Proof | Chapter 5: 1, 4, 9 | Deliverable #3 - bring conjecture to class Deliverable #4 - group work in class - choose a conjecture to work on (40 min) | Topics in Number Theory #2: GCD, Euclid's Lemma |
| 17 | 10/26/2021 | Topics in Number Theory #2: GCD, Euclid's Lemma | GCD Problems: Chapter 4: 27, 28 Chapter 5: 29, 31 | Chapter 6: Proof by contradiction Topics in Number Theory #3: Applying Euclid's Lemma |
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| 16 | 10/28/2021 | EXAM 2 | Assign Deliverable #5 - OpenLab - Proof Journal | EXAM 2 | |
| 18 | 11/2/2021 | Chapter 6: Proof by contradiction Topics in Number Theory #3: Applying Euclid's Lemma | Chapter 6: 3,4,5,8,9 | ("What is Truth" activity?) | Chapter 7: If-and-only-if proofs; existence proofs MIDTERM GRADES DUE |
| 19 | 11/4/2021 | Chapter 7: If-and-only-if proofs; existence proofs | Chapter 7: 5, 6, 7, 9, 12 | Topics in Number Theory #4: Infinitude of Primes, Fundamental Theorem of Arithmetic | |
| 20 | 11/9/2021 | 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) | Chapter 8: Proofs involving sets |
| 21 | 11/11/2021 | Chapter 8: Proofs involving sets | Chapter 8: 3, 4, 7, 18, 19, 20 | Chapter 9: Disproof | |
| 22 | 11/16/2021 | Chapter 9: Disproof | Chapter: 3, 4, 5 | Inclass - group meetings with instructor (2) Assign Group Presentation | Chapter 10: Induction (introduction) |
| 23 | 11/18/2021 | Chapter 10: Induction (introduction) | Chapter 10: 1, 2, 5, 10, 15 | Chapter 10: Induction (examples) | |
| 24 | 11/23/2021 | EXAM 3 (Through Chp 10) | Deliverable #6 - group paper initial draft due in class | EXAM 3 (Through Chp 10) | |
| 11/25/2021 | College Closed 11/25-11/28 | College Closed 11/25-11/28 | |||
| 25 | 11/30/2021 | Chapter 10: Induction (examples) | Topics in Number Theory #5: Strong induction examples | ||
| 26 | 12/2/2021 | Topics in Number Theory #5: Strong induction examples | Handout: Theorems NT 5.2, 5.3 | Deliverable #7 - group paper final draft due in class Deliverable #8 - inclass group presentations (2-3 per day) | Sec 11.1, 11.2: Relations and their properties |
| 27 | 12/7/2021 | Sec 11.1, 11.2: Relations and their properties | Section 11.1: 3,4 (Webwork 6) | Deliverable #8 - inclass group presentations (2-3 per day) | Topics in Number Theory #6: Equivalence Classes, equivalence relations, congruence mod n |
| 28 | 12/9/2021 | Topics in Number Theory #6: Equivalence Classes, equivalence relations, congruence mod n | Section 11.2: 12, 13, 16 In addition, complete Example 11.8 at the top of p182. | Topics in Number Theory #7: Closure properties of congruence mod n | |
| 12/13/2021 | Last Day to Drop with a 'W' grade | Last Day to Drop with a 'W' grade | |||
| 29 | 12/14/2021 | Topics in Number Theory #7: Closure properties of congruence mod n | Section 11.5: 2, 3, 5, 6, 7 Handout: Theorem NT 6.2, 6.3 | Topics in Number Theory #8 (select from optional topics): Divisibility tests, Linear Congruences, Fermat's Theorem. Final Exam Review |
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| 30 | 12/16/2021 | FINAL EXAM | Deliverable #9 - reflection - due in class | FINAL EXAM |
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