Math 111. Transition to Advanced Mathematics. Fall 2022.
Tentative class schedule with homework assignments
This schedule is subject to change.
Assignments shown in gray italics may (and very likely will) change. The ones shown in black regular font will not.
Each problem is worth 1 point, except problems marked by * (which are either longer or more difficult or more important than other problems) are worth 2 points, problems marked by ** are worth 3 points, etc.
| Important Deadlines | |||||
|---|---|---|---|---|---|
| Sep 2 | Last day to ADD a class without a permission number | ||||
| Sep 16 | Last day to DROP a class without a serious and compelling reason and without a grade of W (withdrawal) listed on university transcript | ||||
| Sep 19 | Last day to ADD a class with a permission number | ||||
| Nov 11 | Last day to DROP classes for a serious and compelling reason | ||||
| Date | Chapter/topic | Sections (read before class) |
Problems recommended but will not be graded Do not turn in |
HW due, turn in via Overleaf by 11:59 pm | |
| Aug 22 | Introduction. Syllabus. | ||||
| Aug 23 | 0. Communicating mathematics. | ||||
| Aug 24 |
LaTeX. Overleaf. Sample file. | ch. 0 | |||
| Aug 25 | 1. Sets | 1.1-1.2 | 1.3, 1.5, 1.7, 1.13, 1.15, 1.17, 1.21 | ||
| Aug 29 |
1 | 1.3-1.4 | 1.23, 1.25, 1.27, 1.35, 1.37, 1.41, 1.45 | ||
| Aug 30 |
1 | 1.5-1.6 | 1.47, 1.49, 1.51, 1.53, 1.57, 1.59, 1.61, 1.63 | ||
| Aug 31 |
2. Logic | 2.1-2.3 | 2.1, 2.5, 2.9, 2.13, 2.15, 2.17 | Homework 1 1.2(a), 1.4(a), 1.6(a), 1.12, 1.18 Homework 1 template |
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| Sep 1 | 2 | 2.4-2.5 | 2.21, 2.29, 2.31 | ||
| Sep 5 | Labor Day - no classes or office hours | ||||
| Sep 6 | 2 | 2.6-2.7 | 2.35, 2.39, 2.41, 2.47, 2.49 | ||
| Sep 7 | 2 | 2.8 | 2.51, 2.53, 2.55 | Homework 2 1.22, 1.24, 1.32, 2.3, 2.14(cde), 2.18, 2.22(ab), 2.32(ab) |
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| Sep 8 | 2 Fundamental Logical Equivalences | 2.9 | 2.59 | ||
| Sep 12 | 2 | 2.10 | 2.65, 2.67, 2.75, 2.79 | ||
| Sep 13 | 2 | 2.11 | 2.81, 2.83, 2.93 | ||
| Sep 14 | 3. Direct proof and proof by contrapositive | 3.1 | 3.1, 3.3, 3.5, 3.7 | Homework 3 2.38*, 2.42, 2.46, 2.48, 2.52, 2.58 |
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| Sep 15 | 3 | 3.2 | 3.9, 3.11, 3.13 | ||
| Sep 19 | 3 | 3.3 | 3.17, 3.19, 3.21 | ||
| Sep 20 | 3 | 3.4 | 3.27, 3.31, 3.33, 3.35 | ||
| Sep 21 | 3 Examples of bad proofs, Corrections | 3.5 | 3.37, 3.39 | Homework 4 2.68, 2.70* (justify your answers), 2.78, 2.82, 2.93, 2.95, 3.4, 3.6 |
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| Sep 22 | 4. More on direct proof and proof by contrapositive | ||||
| Sep 26 | 4 | 4.1 | 4.1, 4.3, 4.5, 4.9, 4.13 | ||
| Sep 27 | 4 | 4.2 | 4.15, 4.19, 4.21 | ||
| Sep 28 | 4 | 4.3 | 4.25, 4.27, 4.31, 4.35, 4.37, 4.39 | Homework 5 3.10, 3.16, 3.18, 3.26, 3.30, 3.48 |
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| Sep 29 | Review Practice Test 1,
Solutions Spring 2006 Test 1, Solutions, Fall 2010 Test 1, Fall 2021 Test 1 |
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| Oct 3 | Test 1 (covers chapters 0-3) | ||||
| Oct 4 | 4 | 4.4 | 4.41, 4.43, 4.45, 4.49 | ||
| Oct 5 | 4 | 4.5 | 4.53, 4.57 | Homework 6 4.4, 4.6, 4.10, 4.14, 4.16, 4.18, 4.26, 4.28 |
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| Oct 6 | 4 | 4.6 | 4.63, 4.65, 4.67, 4.69 | ||
| Oct 10 | 5. Proof by contradiction | 5.1 | 5.3, 5.5, 5.7 | ||
| Oct 11 | 5 | 5.2 | 5.11, 5.15, 5.17, 5.19, 5.23, 5.27 | ||
| Oct 12 | 5 | 5.3 | 5.35, 5.37 | Homework 7 4.30, 4.36, 4.40, 4.42, 4.46, 4.54, 4.66, 4.68 |
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| Oct 13 | 5 | 5.4 | 5.41, 5.43, 5.47 | ||
| Oct 17 | 5 | 5.5 | 5.49, 5.51 | ||
| Oct 18 | PSC, DMD, Drawing geometric shapes in LaTeX | ||||
| Oct 19 | 6. Mathematical Induction | 6.1 | 6.4(2), 6.5, 6.9, 6.11, 6.13, 6.15 | Homework 8 5.2, 5.4, 5.6, 5.12, 5.16, 5.20, 5.24, 5.34* |
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| Oct 20 | 6 | ||||
| Oct 24 | 6 | 6.2 | 6.19, 6.21, 6.23, 6.27, 6.29 | ||
| Oct 25 | 6 | 6.4 | 6.41, 6.43, 6.45 | ||
| Oct 26 | 6 | Homework 9 5.40, 5.44, 5.46(a), 5.50, 6.4(1), 6.6(b), 6.8* for extra credit: 5.46(b) |
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| Oct 27 | 7. Prove or disprove | 7.1 | 7.1, 7.3, 7.5, 7.7 | ||
| Oct 31 | 7 | 7.2 | 7.11, 7.15, 7.19, 7.21 | ||
| Nov 1 | 7 | 7.3 | 7.31, 7.33, 7.35, 7.37, 7.41, 7.43, 7.45, 7.55, 7.59, 7.61, and any other odd-numbered problems | ||
| Nov 2 | 7 | Homework 10 6.10, 6.16, 6.18, 6.22, 6.42*, 6.52 for extra credit: 6.56* |
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| Nov 3 | Review Notations and terms, Practice Test 2, Solutions, Spring 2014 Test 2, Fall 2007 MWF Test 2, Solutions, Fall 2007 TTh Test 2, Solutions | ||||
| Nov 7 | Test 2 (covers chapters 4-6) | ||||
| Nov 8 | 8. Equivalence relations | 8.1 | 8.1, 8.3, 8.5, 8.7 | ||
| Nov 9 | 8 | 8.2 | 8.11, 8.13, 8.15, 8.19, 8.23 | Homework 11 7.2*, 7.6(ab), 7.32, 7.34, 7.36, 7.56, 7.60 |
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| Nov 10 | 8 | 8.3 | 8.25, 8.27, 8.29, 8.33 | ||
| Nov 11 | Veteran's Day - no office hours | ||||
| Nov 14 | 8 | 8.4 | 8.37, 8.39, 8.41 | ||
| Nov 15 | 8 | 8.5 | 8.45, 8.47, 8.53 | ||
| Nov 16 | 8 | 8.6 | 8.55, 8.59, 8.61 | Homework 12 8.4, 8.8, 8.12, 8.14, 8.16 for extra credit: 8.18* |
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| Nov 17 | 9. Functions | 9.1-9.2 | 9.3, 9.7, 9.11, 9.13 | ||
| Nov 18 | Department of Mathematics Day (DMD) | ||||
| Nov 21 | 9 | 9.3 | 9.19, 9.21, 9.23, 9.25, 9.27 | ||
| Nov 22 | 9 | 9.4 | 9.31, 9.33 | Homework 13 8.26, 8.28*, 8.38, 8.42, 8.52, 8.54, 8.56 |
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| Nov 23 | Thanksgiving recess - no classes or office hours | ||||
| Nov 24 | |||||
| Nov 25 | |||||
| Nov 28 | 9 | 9.5 | 9.37, 9.39, 9.41, 9.43, 9.47 | ||
| Nov 29 | 9 | 9.6 | 9.49, 9.51, 9.53, 9.55 | ||
| Nov 30 | 9 | 9.7 | 9.61, 9.62 | ||
| Dec 1 | 9 | ||||
| Dec 2 | Friday - no class | Homework 14 9.8, 9.12(c,e), 9.26, 9.32, 9.42*, 9.52, 9.56, 9.60 |
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| Dec 5 | Review Practice Test 3, Solutions, Spring 2006 Test 3, Solutions, Fall 2007 MWF Test, Solutions, Fall 2007 TTh Test, Solutions | ||||
| Dec 6 | Test 3 (covers chapters 7-9) | ||||
| Dec 7 | Review Fall 2007 Final Exam, Fall 2007 (another section) Final Exam | ||||
| Dec 8-9 | Consultation days Sample final exam and study guide, Solutions office hours: Thursday - 10:00-11:50 am for all classes in PB 340; Thursday - 12:00-1:00 pm for Math 111 only in our usual classroom; Friday - 2:00-2:50 pm for all classes in PB 340 |
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| Dec 14 | Final exam (comprehensive): 1:15-3:15 pm in our usual classroom | ||||