Course Calendar and Homework Assignments for Math 222, Fall 2024
| Date | Section/Topic | Reading Assignment (for next class) | Problems to be Presented in Class | Written Hmw |
| F Aug 30 | Introduction, Overview, 1.1: A Thought Experiment |
Course Information and Remarks about Class Presentation/Participation. |
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| M Sep 2 | 1.2-1.5: Statements and Predicates, Quantifaction, Implication | Read Sections 1.6-1.8 | Gift 1: Due M, Sep 9 |
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| W Sep 4 | 1.6-1.8 | Read Sections 1.9-1.15 | ||
| F Sep 6 | 1.9-1.15: Methods of Proofs | Read Sections 2.1-2.3(until Ex 2.3.11 "indexing sets"), working out all exercises along the way. | ||
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WEEK 2 |
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| M Sep 9 | 2.1,2.2,2.3 | Read Section 2.3 and try out exercises. | ||
| W Sep 11 | Finish 2.3 | Section 2.4 | Gift2: Due Wed Sep 18 |
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| F Sep 13 | 2.4: Algebra of Sets |
Work on presentation problems |
2.4.1, 2.4.2, 2.4.3, 2.4.4 | |
| WEEK 3 | ||||
| M Sep 16 | 2.4: Student Presentations | Work on presentation problems | 2.4.5, 2.4.6, 2.4.7, 2.4.8, | |
| W Sep 18 | 2.4: Student Presentations | Work on presentation problems | 2.4.9.1, 2.4.11 | Gift3: Due Mon Sep 23 Problems 6 and 8 at the end of Chp2 |
| F Sep 20 | 2.5: Power Set. Student Presentations. |
Read Section 2.6 |
2.5.3, 2.5.4, 2.5.6, 2.5.7, | |
| WEEK 4 | ||||
| M Sep 23 | Russel's Paradox, LaTeX intro | Review for the Exam | LaTeX exercises (Gift 4) due midnight Thu, Oct 3. Submit to Moodle | |
| W Sep 25 | Midterm Exam 1 | Read Section 3.1 |
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| F Sep 27 | 3.1: Induction | Read Section 3.2, doing all the exercises along the way |
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| WEEK 5 | ||||
| M Sep 30 | 3.2: Problem Solving with Induction | Read Section 3.3 and solve all the problems along the way. Read the document IntroLaTeX | Gift 5: Due Mon Oct 7 (LaTeX required) Submit to Moodle | |
| W Oct 2 | LaTeX practice, 3.3 Complete Induction | |||
| F Oct 4 | 3.3 Complete Induction and Practice | Read Section 4.1. Do all the exercises along the way. | ||
| WEEK 6 | ||||
| M Oct 7 | 4.1: Relations | Read Section 4.2 up to Thm 4.2.14 for Wednesday | ||
| W Oct 9 | 4.2: Orderings |
Prove Thm 4.2.14, Thm 4.2.15, Thm 4.2.18, Thm 4.2.22 | Gift 6: Due Fri, Oct 18 Problems 3abc, 7, 10 at the end of Chp4 |
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| F Oct 11 | October reading day | |||
| WEEK 7 | ||||
| M Oct 14 | 4.2 continued, student presentations | Thm 4.2.14, Thm 4.2.15, Thm 4.2.18, Thm 4.2.22 | ||
| W Oct 16 | 4.2 finished: LUB and GLB properties | Read section 4.3 through 4.3.14. Do the exercises along the way | Gift 7: Due Wed, Oct 23 Write up a proof of Thm 4.3.21, and do problems 16 and 17 on pages 99-100. For #16, whenever possible describe the equivalence classes geometrically |
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| F Oct 18 | 4.3: Partitions and Equiv Relations | Read the rest of section 4.3 |
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| WEEK 8 | ||||
| M Oct 21 | 4.3 Student Presentations | 4.3.14, 4.3.15, 4.3.16, 4.3.17, 4.3.20, 4.3.23 | ||
| W Oct 23 | Review/Practice | |||
| F Oct 25 | Midterm Exam 2 | Read section 5.1 through page 107 (up to Thm 5.1.13) and do all the exercises along the way. | ||
| WEEK 9 | ||||
| M Oct 28 | 5.1: Functions | Read section 5.1 | Gift 8: Due Mon, Nov 4 Problems 1,3,4 at the end of Chp5 |
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| W Oct 30 | 5.1: Student presentations | Read section 5.2 (through 5.2.6) | Thm5.1.7,Thm 5.1.13, Ex 5.1.14 & 15, Thm 5.1.6 (note the typo) |
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| F Nov 1 | 5.2: Compositions and Inverses | Read section 5.2 |
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| WEEK 10 | ||||
| M Nov 4 | 5.2: Student presentations | Read section 5.3 through 5.3.5 | Thm 5.2.7, Thm 5.2.9, Thm 5.2.10 | Gift 9: Due Mon, Nov 11 Problems 9,12 at the end of Chp5 |
| W Nov 6 | 5.3: Images and Inverse Images | Read Section 5.3 | ||
| F Nov 8 | 5.3: Student presentations | Read section 6.1 and section 6.2 through page 141 | Thm 5.3.6, Thm 5.3.11, Prb 5.13.12 | |
| WEEK 11 | ||||
| M Nov 11 | 6.1, 6.2 | Gift 10: Due Mon, Nov 18 |
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| W Nov 13 | 6.2: Student Presentations | Thm6.2.13, Ex6.2.14, Ex6.2.15, Thm 6.2.16, Thm 6.2.17 | ||
| F Nov 15 | 6.2: Student Presentations | Read Sections 6.3, 6.4 | Ex 6.2.18, Lemma 6.2.19, Pr 6.2.20 | |
| WEEK 12 | ||||
| M Nov 18 | 7.16.3, 6.4 6.3, 6.46.56.56.56.3, 6.4 | Read Sections 6.5, 6.6 | Take-home exam distributed. Due Fri, Nov 22. Submit to Moodle | |
| W Nov 20 | 6.5, 6.6 | Read Section 7.1 | ||
| F Nov 22 | 7.1: Cardinality | Read Section 7.2 | ||
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THANKSGIVING BREAK |
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| M Dec 2 | 7.2: Infinite Sets | Gift 11: Due, Fri, Dec 13 | ||
| W Dec 4 | 7.2 Student presentations | Read section 7.3 | ||
| F Dec 6 | 7.3: Countable Sets | |||
| WEEK 14 | ||||
| M Dec 9 | 7.3 | |||
| W Dec 11 | 7.3: Student Presentations | Read section 7.3 | 7.3.9, 7.3.10, 7.3.11 | |
| F Dec 13 | 7.4 Uncountable Sets | Final Exam: Fri, Dec 18, 1:30 pm | ||