Math 111. Transition to Advanced Mathematics. Fall 2021.
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 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 19 | Last day to DROP classes without a serious and compelling reason and without a grade of W (withdrawal) listed on university transcript | ||||
| Sep 20 | Last day to ADD classes | ||||
| Nov 12 | 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 12:00 pm | |
| Aug 23 | Introduction. Syllabus. | ||||
| Aug 24 | 0. Communicating mathematics. | ||||
| Aug 25 |
LaTeX. Overleaf. Sample file. | ch. 0 | |||
| Aug 26 | 1. Sets | 1.1-1.2 | 1.3, 1.5, 1.7, 1.13, 1.15 | ||
| Aug 30 |
1 | 1.3-1.4 | 1.23, 1.25, 1.35, 1.37, 1.41, 1.45 | ||
| Aug 31 |
1 | 1.5-1.6 | 1.47, 1.49, 1.53, 1.57, 1.61 | ||
| Sep 1 |
2. Logic | 2.1-2.3 | 2.1, 2.5, 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 2 | 2 | 2.4-2.5 | 2.21, 2.29, 2.31 | ||
| Sep 6 | Labor Day - no classes or office hours | ||||
| Sep 7 | 2 | 2.6-2.7 | 2.35, 2.39, 2.49 | ||
| Sep 8 | 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) |
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| Sep 9 | 2 Fundamental Logical Equivalences | 2.9 | 2.59 | ||
| Sep 13 | 2 | 2.10 | 2.65, 2.67, 2.75, 2.79 | ||
| Sep 14 | 2 | 2.11 | 2.81, 2.83, 2.92 | ||
| Sep 15 | 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 16 | 3 | 3.2 | 3.9, 3.11, 3.13 | ||
| Sep 20 | 3 | 3.3 | 3.17, 3.19, 3.21 | ||
| Sep 21 | 3 | 3.4 | 3.27, 3.31, 3.33, 3.35 | ||
| Sep 22 | 3 | 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 23 | 3 Examples of bad proofs, Corrections. | ||||
| Sep 27 | 4. More on direct proof and proof by contrapositive | 4.1 | 4.1, 4.3, 4.5, 4.9, 4.13 | ||
| Sep 28 | 4 | 4.2 | 4.15, 4.19, 4.21 | ||
| Sep 29 | 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 30 | Review Practice Test 1,
Solutions Spring 2006 Test 1, Solutions, Fall 2010 Test 1 |
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| Oct 4 | Test 1 (covers chapters 0-3), in class via Zoom, with camera on. | ||||
| Oct 5 | 4 | 4.4 | 4.41, 4.43, 4.45, 4.49 | ||
| Oct 6 | 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 | 4:00-5:00 PM, Problem Solving Playground, open to all, see Canvas for the link, Report attendance | ||||
| Oct 7 | 4 | 4.6 | 4.63, 4.65, 4.67, 4.69 | ||
| Oct 11 | 5. Proof by contradiction | 5.1 | 5.3, 5.5, 5.7 | ||
| Oct 12 | 5 | 5.2 | 5.11, 5.15, 5.17, 5.19, 5.23, 5.27 | ||
| Oct 13 | 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 | 4:00-5:00 PM, Problem Solving Playground, open to all, see Canvas for the link, Report attendance | ||||
| Oct 14 | 5 | 5.4 | 5.41, 5.43, 5.47 | ||
| Oct 18 | 5 | 5.5 | 5.49, 5.51 | ||
| Oct 19 | PSP, PSC, DMD, Drawing geometric shapes in LaTeX | ||||
| Oct 20 | 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 | 4:00-5:00 PM, Problem Solving Playground, open to all, see Canvas for the link, Report attendance | ||||
| Oct 21 | 6 | ||||
| Oct 25 | 6 | 6.2 | 6.19, 6.21, 6.23, 6.27, 6.29 | ||
| Oct 26 | 6 | 6.4 | 6.41, 6.43, 6.45 | ||
| Oct 27 | 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 | 4:00-5:00 PM, Problem Solving Playground, open to all, see Canvas for the link, Report attendance | ||||
| Oct 28 | 7. Prove or disprove | 7.1 | 7.1, 7.3, 7.5, 7.7 | ||
| Nov 1 | 7 | 7.2 | 7.11, 7.15, 7.19, 7.21 | ||
| Nov 2 | 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 3 | 7 | Homework 10 6.10, 6.16, 6.18, 6.22, 6.42*, 6.52 |
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| Nov 3 | 4:00-5:00 PM, Problem Solving Playground, open to all, see Canvas for the link, Report attendance | ||||
| Nov 4 | 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 8 | Test 2 (covers chapters 4-6), in class via Zoom, with video on | ||||
| Nov 9 | 8. Equivalence relations | 8.1 | 8.1, 8.3, 8.5, 8.7 | ||
| Nov 10 | 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 11 | Veteran's Day - no classes or office hours | ||||
| Nov 12 | 5:25-7:35 PM: Adnan H. Sabuwala Problem Solving Competition, open to all but need to sign up | ||||
| Nov 15 | 8 | 8.3 | 8.25, 8.27, 8.29, 8.33 | ||
| Nov 16 | 8 | 8.4 | 8.37, 8.39, 8.41 | ||
| Nov 17 | 8 | 8.5 | 8.45, 8.47 | Homework 12 8.4, 8.8, 8.12, 8.14, 8.16 for extra credit: 8.18* |
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| Nov 17 | 4:00-5:00 PM, Problem Solving Playground, open to all, see Canvas for the link, Report attendance | ||||
| Nov 18 | 8 | 8.6 | 8.55, 8.59, 8.61 | ||
| Nov 19 | Department of Mathematics Day (DMD), open to all, need to sign up to give a talk or play in Math Jeopardy; no need to sign up to just attend Report attendance | ||||
| Nov 22 | 9. Functions | 9.1-9.2 | 9.3, 9.7, 9.11, 9.13 | ||
| Nov 23 | 9 | 9.3 | 9.19, 9.21, 9.25, 9.27 | Homework 13 8.26, 8.28*, 8.38, 8.42, 8.52, 8.54, 8.56 |
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| Nov 24 | Thanksgiving recess - no classes or office hours | ||||
| Nov 25 | |||||
| Nov 29 | 9 | 9.4 | 9.31, 9.33 | ||
| Nov 30 | 9 | 9.5 | 9.37, 9.39, 9.41, 9.43, 9.45, 9.47 | ||
| Dec 1 | 9 | 9.6 | 9.49, 9.51, 9.53, 9.55 | ||
| Dec 1 | 4:00-5:00 PM, Problem Solving Playground, open to all, see Canvas for the link, Report attendance | ||||
| Dec 2 | 9 | 9.7 | 9.61, 9.62 | Homework 14 9.8, 9.12(c,e), 9.26, 9.32, 9.42(b,c,d,e)* |
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| Dec 6 | 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), in class via Zoom, with video on | ||||
| Dec 8 | Review Fall 2007 Final Exam, Fall 2007 (another section) Final Exam | Homework 15 9.52, 9.56, 9.60 |
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| Dec 9-10 | Consultation days Sample final exam and study guide, Solutions office hours: Thursday - 12:00-1:20 pm for Math 111 specifically at our usual class Zoom link; Thursday - 1:30-2:20 pm for all classes at the usual Tuesday office hours link; Friday - 10:00-10:50 am for all classes at the usual Tuesday office hours link |
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| Dec 15 | Final exam (comprehensive): 1:15 AM-3:15 PM, via Zoom, with video on | ||||