Math 111. Transition to Advanced Mathematics. Spring 2024.
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.
| Important Deadlines | |||||
|---|---|---|---|---|---|
| Jan 31 | Last day to ADD a class without permission | ||||
| Feb 13 | Last day to DROP a class without a serious and compelling reason and without a grade of W (withdrawal) listed on university transcript | ||||
| Apr 19 | Last day to DROP classes for a serious and compelling reason | ||||
| See registration calendar for other important dates | |||||
| 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 | |
| Jan 18 | Introduction. Syllabus. | ||||
| Jan 22 | 0. Communicating mathematics. | ||||
| Jan 23 |
LaTeX. Overleaf. Sample file. | ch. 0 | Make a copy of the sample file and practice writing any math text | ||
| Jan 24 | 1. Sets | 1.1-1.2 | 1.3, 1.5, 1.7, 1.13, 1.15, 1.17, 1.21 | ||
| Jan 25 |
1 | 1.3-1.4 | 1.23, 1.25, 1.27, 1.35, 1.37, 1.41, 1.45 | ||
| Jan 29 |
1 | 1.5-1.6 | 1.49, 1.51, 1.53, 1.55, 1.59, 1.61, 1.63, 1.65 | ||
| Jan 30 |
2. Logic | 2.1-2.3 | 2.1, 2.5, 2.9, 2.13, 2.15, 2.17 | ||
| Jan 31 | 2 | 2.4-2.5 | 2.21, 2.29, 2.31 | Homework 1 1.2(ac), 1.4(ac), 1.6(ab), 1.12, 1.18, 1.22, 1.24, 1.32, 1.38 Homework 1 template |
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| Feb 1 | 2 | 2.6-2.7 | 2.35, 2.39, 2.41, 2.47, 2.49 | ||
| Feb 5 | 2 Some properties (group exercise) | 2.8 | 2.53, 2.55, 2.57 | ||
| Feb 6 | 2 Fundamental Logical Equivalences | 2.9 | 2.61, 2.63, 2.65 | ||
| Feb 7 | 2 | 2.10 | 2.67, 2.71, 2.75, 2.81 | Homework 2 1.56, 1.62, 2.3, 2.14(cde), 2.18, 2.22(ab), 2.32(ab), 2.38, 2.42, 2.46 |
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| Feb 8 | 2 | 2.11 | 2.83, 2.85 | ||
| Feb 12 | 3. Direct proof and proof by contrapositive | 3.1 | 3.1, 3.3, 3.5, 3.7 | ||
| Feb 13 | 3 | 3.2 | 3.9, 3.11, 3.13 | ||
| Feb 14 | 3 | 3.3 | 3.17, 3.19, 3.21, 3.23 | Homework 3 2.48, 2.54, 2.60, 2.62, 2.70, 2.72* (justify your answers), 2.76, 2.80, 2.84 |
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| Feb 15 | 3 | 3.4 | 3.27, 3.31, 3.33, 3.37, 3.39 | ||
| Feb 19 | Presidents' Day - no classes or office hours | ||||
| Feb 20 | 3 Examples of bad proofs, Corrections | 3.5 | 3.41, 3.43, 3.44, 3.45 | ||
| Feb 21 | 4. More on direct proof and proof by contrapositive | 4.1 | 4.1, 4.3, 4.5, 4.7, 4.9, 4.13 | Homework 4 3.4, 3.6, 3.10, 3.16, 3.18, 3.20, 3.26, 3.30, 3.34, 3.36 Starting with this homework, all solutions and proofs have to be written in complete sentences. |
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| Feb 22 | Review Practice Test 1, Solutions | ||||
| Feb 26 | Test 1 (covers chapters 0-3) | ||||
| Feb 27 | 4 | 4.2 | 4.15, 4.19, 4.21 | ||
| Feb 28 | 4 | 4.3 | 4.25, 4.27, 4.29, 4.31, 4.35, 4.37 | Homework 5 4.4, 4.6, 4.8, 4.10, 4.12 |
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| Feb 29 | 4 | 4.4 | 4.43, 4.45, 4.47, 4.49 | ||
| Mar 4 | 4 | 4.5 | 4.53, 4.55, 4.57 | ||
| Mar 5 | 4 | 4.6 | 4.63, 4.65, 4.67, 4.69 | ||
| Mar 6 | 5. Proof by contradiction | 5.1 | 5.1, 5.3, 5.11 | Homework 6 4.16, 4.18, 4.26, 4.28, 4.30, 4.36, 4.40, 4.42, 4.46, 4.48 |
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| Mar 7 | 5 | 5.2 | 5.13, 5.15, 5.17, 5.19, 5.21, 5.25, 5.27, 5.29, 5.33 | ||
| Mar 11 | 5 | 5.3 | 5.37, 5.41 | ||
| Mar 12 | 5 | 5.4 | 5.43, 5.49 | ||
| Mar 13 | 5 | 5.5 | 5.55, 5.57 | Homework 7 4.54, 4.56, 4.64, 4.66, 4.68, 5.2, 5.4, 5.12, 5.18, 5.20 |
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| Mar 14 | 6. Mathematical Induction | ||||
| Mar 18 | 6 | 6.1 | 6.4(2), 6.5, 6.9, 6.13 | ||
| Mar 19 | 6 | 6.2 | 6.21, 6.25, 6.27, 6.29 | ||
| Mar 20 | 6 | 6.3 | 6.33, 6.35, 6.37 | Homework 8 5.26, 5.36, 5.40, 5.42, 5.48(a), 5.50, 5.56, 5.63 for extra credit: 5.24, 5.34, 5.48(b), 5.58 |
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| Mar 21 | 6 | ||||
| Mar 25 | Spring break - no classes or office hours | ||||
| Mar 26 | |||||
| Mar 27 | |||||
| Mar 28 | |||||
| Apr 1 | Cesar Chavez Day observed - no classes or office hours | ||||
| Apr 2 | 8. Prove or disprove | 8.1 | 8.1, 8.3, 8.5 | ||
| Apr 3 | 8 | 8.2 | 8.15, 8.17, 8.19, 8.21, 8.23 | Homework 9 6.4(1), 6.6(b), 6.10, 6.12, 6.18, 6.26, 6.34* for extra credit: 6.8, 6.36(b), 6.56* |
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| Apr 4 | Review Notations and terms, Practice Test 2, Solutions | For exatra credit: Fun problems on Mathematical Induction | |||
| Apr 8 | Test 2 (covers chapters 4-6) | ||||
| Apr 9 | 8 | 8.3 | 8.31, 8.33, 8.35, 8.37, 8.41, 8.43, 8.45, 8.55, 8.59, 8.61, and any other odd-numbered problems | ||
| Apr 10 | 9. Equivalence relations | 9.1 | 9.1, 9.3, 9.5, 9.7 | Homework 10 8.2, 8.6(ab), 8.14, 8.16, 8.26 for extra credit: 8.8* |
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| Apr 11 | 9 | 9.2 | 9.11, 9.13, 9.15, 9.17, 9.19, 9.23 | ||
| Apr 15 | 9 | 9.3 | 9.25, 9.27, 9.29, 9.33 | ||
| Apr 16 | 9 | 9.4 | 9.37, 9.39, 9.41 | ||
| Apr 17 | 9 | 9.5 | 9.45, 9.47, 9.53 | Homework 11 8.32, 8.34, 8.36, 8.50, 8.56, 8.60, 9.4, 9.12, 9.14 |
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| Apr 18 | 9 | 9.6 | 9.55, 9.59, 9.61 | ||
| Apr 22 | 10. Functions | 10.1 | 10.3, 10.7, 10.11, 10.13 | ||
| Apr 23 | 10 | 10.2 | 10.19, 10.21, 10.23, 10.25, 10.27 | ||
| Apr 24 | 10 | 10.3 | 10.31, 10.33 | Homework 12 9.16, 9.26, 9.28*, 9.38, 9.42, 9.52, 9.56 for extra credit: 9.18* |
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| Apr 25 | 10 | 10.4 | 10.37, 10.39, 10.41, 10.43, 10.47 | ||
| Apr 29 | 10 | 10.5 | 10.49, 10.51, 10.53, 10.55 | ||
| Apr 30 | 10 | 10.59, 10.61, 10.62 | |||
| May 1 | More combinatorics problems | ||||
| May 2 | Drawing geometric shapes in LaTeX | ||||
| May 3 | Friday - no class | Homework 13 10.8, 10.12(c,e), 10.26, 10.32, 10.42*, 10.52, 10.56, 10.60 |
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| May 6 | Review Practice Test 3, Solutions | ||||
| May 7 | Test 3 (covers chapters 8-10) | ||||
| May 8 | Review Sample final exam and study guide, Solutions | ||||
| May 9-10 | Consultation days
office hours: Thursday - 10:30-11:30 am for all classes in PB 340; Thursday - 12:00-1:00 pm for Math 111 only in our usual classroom; Friday - 3:00-4:00 pm for all classes in PB 340 |
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| May 15 | Final exam (comprehensive): 1:15-3:15 pm in our usual classroom | ||||