Math 111. Transition to Advanced Mathematics. Fall 2020.
Tentative class schedule with homework assignments
This schedule is subject to change.
Assignments shown in gray may (and very likely will) change. The ones shown in black 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.
| Sep 1 | Last day to ADD classes without instructor's permission | ||||
| Sep 16 | Last day to DROP classes without a serious and compelling reason and without a grade of W (withdrawal) listed on university transcript | ||||
| Nov 13 | 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 via Overleaf | |
| Aug 19 | Introduction. Syllabus. SI sessions. | ||||
| Aug 20 | 0. Communicating mathematics. LaTeX. Overleaf. |
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| Aug 24 |
0 and LaTeX. Sample file. | ch. 0 | |||
| Aug 25 | 1. Sets | 1.1-1.2 | 1.3, 1.5, 1.7, 1.13, 1.15 | ||
| Aug 26 |
1 | 1.3-1.4 | 1.23, 1.25, 1.35, 1.37, 1.41, 1.45 | ||
| Aug 27 |
1 | 1.5-1.6 | 1.47, 1.49, 1.53, 1.57, 1.61 | ||
| Aug 31 |
2. Logic | 2.1-2.2 | 2.13 | ||
| Sep 1 | 2 | 2.3-2.5 | 2.15, 2.17, 2.21, 2.31 | ||
| Sep 2 | 2 | 2.6-2.7 | 2.35, 2.39 | Homework 1 1.2(a), 1.4(a), 1.6(a), 1.12, 1.18, 1.22*, 1.24, 1.32 Homework 1 template |
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| Sep 3 | 2 | 2.8 | 2.49, 2.51, 2.53, 2.55 | ||
| Sep 7 | Labor Day - no classes or office hours | ||||
| Sep 8 | 2 Fundamental Logical Equivalences | 2.9 | 2.59 | ||
| Sep 9 | 2 | 2.10 | 2.65, 2.67, 2.75, 2.79 | Homework 2 2.14(cde), 2.18, 2.22(ab), 2.38*, 2.42, 2.46, 2.48, 2.52 |
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| Sep 10 | 2 | 2.11 | 2.81, 2.83, 2.92 | ||
| Sep 14 | 3. Direct proof and proof by contrapositive | 3.1 | 3.1, 3.3, 3.5, 3.7 | ||
| Sep 15 | 3 | 3.2 | 3.9, 3.11, 3.13 | ||
| Sep 16 | 3 | 3.3 | 3.17, 3.19, 3.21 | Homework 3 2.58, 2.68, 2.70*, 2.78, 2.82, 2.93, 2.95 |
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| Sep 17 | 3 | 3.4 | 3.27, 3.31, 3.33, 3.35 | ||
| Sep 21 | 3 | 3.5 | 3.33, 3.39 | ||
| Sep 22 | 3 | ||||
| Sep 23 | 4. More on direct proof and proof by contrapositive | 4.1 | 4.1, 4.3, 4.5, 4.13 | Homework 4 3.4, 3.6, 3.10, 3.16, 3.18, 3.26, 3.30 |
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| Sep 24 | 4 | 4.2 | 4.15, 4.19, 4.21 | ||
| Sep 28 | Review Practice Test 1,
Solutions Spring 2006 Test 1, Solutions, Fall 2010 Test 1 |
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| Sep 29 | Test 1 (covers chapters 0-3), on Canvas. Complete any time between 9am-2pm, 1 hour time limit. | ||||
| Sep 30 | 4 | 4.3 | 4.25, 4.27, 4.31, 4.35, 4.37, 4.39 | Homework 5 4.2, 4.4, 4.6 |
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| Oct 1 | 4 | 4.4 | 4.41, 4.43, 4.45, 4.49 | ||
| Oct 5 | 4 | 4.5 | 4.53, 4.57 | ||
| Oct 6 | 4 | 4.6 | 4.63, 4.65, 4.67, 4.69 | ||
| Oct 7 | 5. Proof by contradiction | 5.1 | 5.1, 5.3, 5.5 | Homework 6 4.14, 4.16, 4.18, 4.26, 4.28, 4.30, 4.32*, 4.36 |
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| Oct 8 | 5 | 5.2 | 5.11, 5.15, 5.17, 5.19, 5.23, 5.27 | ||
| Oct 12 | 5 | 5.3 | 5.35, 5.37 | ||
| Oct 13 | 5 | 5.4 | 5.41, 5.43 | ||
| Oct 14 | 5 | 5.5 | 5.49, 5.51 | Homework 7 4.40, 4.42, 4.46, 4.54, 4.66, 4.68*, 5.2, 5.4, 5.6 |
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| Oct 15 | PSP, PSC, Tikz | ||||
| Oct 19 | 6. Mathematical Induction | 6.1 | 6.4(2), 6.5, 6.9, 6.11, 6.13, 6.15 | ||
| Oct 20 | 6 | ||||
| Oct 21 | 6 | 6.2 optional: 6.3 |
6.19, 6.21, 6.23, 6.27, 6.29 optional: 6.33, 6.35 |
Homework 8 5.12, 5.16, 5.20, 5.24, 5.34**, 5.40, 5.44*, 5.46(a), 5.50 for extra credit: 5.46(b) |
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| Oct 22 | 6 | 6.4 | 6.41, 6.43, 6.45 | ||
| Oct 26 | 6 | ||||
| Oct 27 | 7. Prove or disprove | 7.1 | 7.1, 7.3, 7.5, 7.7 | ||
| Oct 28 | 7 | 7.2 | 7.11, 7.15, 7.19 | Homework 9 6.4(1), 6.6(b) 6.8*, 6.10, 6.16, 6.18, 6.42* for extra credit: 6.34, 6.38 |
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| Oct 29 | 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 2 | Test 2 (covers chapters 4-6), in class via Zoom, with video on | ||||
| Nov 3 | 7 | 7.3 | 7.31, 7.33, 7.35, 7.37, 7.41, 7.43, 7.45, 7.55, 7.59, and any other odd-numbered problems | ||
| Nov 4 | 8. Equivalence relations | 8.1 | 8.1, 8.3, 8.5 | Homework 10 7.2*, 7.6(ab) |
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| Nov 5 | 8 | 8.2 | 8.11, 8.13, 8.15, 8.23 | ||
| Nov 9 | 8 | 8.3 | 8.25, 8.27, 8.29, 8.33 | ||
| Nov 10 | 8 | 8.4 | 8.37, 8.39, 8.41 | ||
| Nov 11 | Veteran's Day - no classes or office hours | ||||
| Nov 12 | 8 | 8.5 | 8.45, 8.47 | Homework 11 7.32, 7.34, 7.36, 7.56, 7.60, 8.4, 8.8 |
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| 5:25-7:35 PM: Adnan H. Sabuwala Problem Solving Competition | |||||
| Nov 16 | 8 | 8.6 | 8.55, 8.59, 8.61 | ||
| Nov 17 | 8 | ||||
| Nov 18 | 9. Functions | 9.1-9.2 | 9.3, 9.7, 9.11, 9.13 | ||
| Nov 19 | 9 | 9.3 | 9.19, 9.21, 9.25 | Homework 12 8.12, 8.14, 8.26, 8.28*, 8.38, 8.42 |
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| Nov 20 | Department of Mathematics Day (DMD), Website with schedule, Zoom links, etc. | ||||
| Nov 23 | 9 | 9.4 | 9.31, 9.33 | ||
| Nov 24 | 9 | 9.5 | 9.37, 9.39, 9.41, 9.45 | ||
| Nov 25 | Thanksgiving recess - no classes or office hours | ||||
| Nov 26 | |||||
| Nov 30 | 9 | 9.6 | 9.49, 9.51, 9.53, 9.55 | ||
| Dec 1 | 9 | 9.7 | 9.61 | ||
| Dec 2 | 9 | Homework 13 8.46, 8.52, 8.54, 8.56, 9.8, 9.12(c,e), 9.20, 9.26, 9.32 |
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| Dec 3 | Review Practice Test 3, Solutions, Spring 2006 Test 3, Solutions, Fall 2007 MWF Test, Solutions, Fall 2007 TTh Test, Solutions | ||||
| Dec 7 | Test 3 (covers chapters 7-9), on Canvas. Complete any time between 9am-2pm, 1 hour time limit. | ||||
| Dec 8 | Review Fall 2007 Final Exam, Fall 2007 (another section) Final Exam | ||||
| Dec 9 | Homework 14 9.42(b,c,d,e)*, 9.52, 9.56, 9.60 |
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| Dec 10-11 | Consultation days Sample final exam and study guide, Solutions office hours: Thursday - 10:30-11:50am for Math 111 specifically at our usual class Zoom link; Friday - 11am-1pm and 3-4pm for all classes at the usual Friday office hours link |
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| Dec 14 | Final exam (comprehensive): 11:00 AM-1:00 PM, via Zoom, with video on | ||||