Math 111. Transition to Advanced Mathematics. Fall 2012.
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 5: | Last day to ADD a class without instructor permission | ||||
| Sep 18: | Last day to ADD CLASSES with permission; DROP CLASSES online without a serious and compelling reason and without a grade of W (withdrawal) listed on university transcript | ||||
| Nov 20: | Last day to DROP/withdraw from classes for SERIOUS and COMPELLING REASONS. | ||||
| Date | Chapter/topic | Sections | Problems recommended but will not be graded |
HW due | |
| Aug 22 | Introduction | ||||
| 0. Communicating mathematics | |||||
| Aug 24 |
0. 1. Sets |
1.1 |
1.3, 1.5, 1.7 | ||
| Aug 27 |
1 | 1.2-1.3 | 1.11, 1.13, 1.15, 1.17, 1.19, 1.21, 1.23 | ||
| Aug 29 |
1 | 1.4-1.5 | 1.25, 1.27, 1.33, 1.35 | Homework 1 1.2, 1.4, 1.6 |
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| Aug 30 | CSUF Math Club's 1st meeting this school year: 4 PM, PB 33. Flyer | ||||
| Aug 31 |
1 2. Logic |
1.6 2.1-2.2 |
1.41, 2.1, 2.3, 2.5, 2.9 | ||
| Sep 3 | Labor Day - campus closed; no classes, no office hours | ||||
| Sep 5 | 2 | 2.3-2.7 | 2.11, 2.15, 2.17, 2.19, 2.23, 2.25, 2.31, 2.33 | Homework 2 1.10, 1.12, 1.18, 1.20, 1.28, 1.30(a), 1.32, 1.38, 1.51, 1.52, 2.2, 2.6 |
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| Sep 7 | 2 | 2.8-2.9 | 2.35, 2.37, 2.39, 2.41(a) | ||
| 1-2 PM, PB 390: Math Department Seminar Speaker: James Ogaja. Title: Model Theory Applications to Algebraic Geometry and Topology. | |||||
| 4-5 PM, S 145: Mathematics Lecture Series Speaker: Dr. Heather Russel (University of Southern California). Title: Knots, Webs, and Tableaux. | |||||
| Sep 10 | 2 | 2.10 | 2.43, 2.45, 2.47, 2.49 | ||
| Sep 12 | 2 | 2.10 | Homework 3 2.8, 2.10, 2.14, 2.20(a), 2.22, 2.24(c), 2.30, 2.32, 2.34, 2.36(b), 2.40, 2.57 |
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| Sep 14 | 3. Direct proof and proof by contrapositive | 2.11-3.2 | 2.53, 2.55, 3.1, 3.3 | ||
| Sep 17 | 3 | 3.2-3.3 | 3.7, 3.9, 3.13, 3.15 | ||
| Sep 19 | 3 | 3.4 | 3.19, 3.21, 3.23 | Homework 4 2.46, 2.48*, 2.52, 2.54, 3.2, 3.4 |
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| Sep 21 | 3 | 3.5 | 3.27, 3.29, 3.30 | ||
| Review Notations and terms, Practice Test 1,
Solutions Spring 2006 Test 1, Solutions, Fall 2010 Test 1 |
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| Sep 22 | Math Club's Beginning-of-the-Semester Picnic: 4:00 PM in O'Neill Park | ||||
| Sep 24 | Test 1 (covers chapters 0-3) | ||||
| Sep 26 | 4. More on direct proof and proof by contrapositive | 4.1 | 4.1, 4.5 | Homework 5 3.6, 3.8, 3.12, 3.14, 3.16, 3.20, 3.22, 3.24, 3.28, 3.41 |
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| Sep 28 | 4 | 4.1-4.2 | 4.3, 4.7, 4.11, 4.15, 4.17 | ||
| Oct 1 | 4 | 4.2-4.3 | 4.19, 4.23, 4.25 | ||
| Oct 3 | 4 | 4.4 | 4.27, 4.29, 4.31, 4.33 | Homework 6 read the paragraph after result 4.5 and the proof of result 4.6 on page 89; 4.2, 4.4, 4.6, 4.8 |
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| Oct 5 | 4 | 4.4-4.5 | 4.35, 4.37, 4.39 | ||
| Oct 8 | 4 | 4.6 | 4.43, 4.45, 4.47 | ||
| Oct 10 | 5. Proof by contradiction | 5.1 | 5.1, 5.3, 5.5 | Homework 7 4.10, 4.12, 4.14, 4.16*, 4.18, 4.20, 4.24, 4.28, 4.30, 4.32 |
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| Oct 12 | 5 | 5.2 | 5.7, 5.9, 5.11, 5.13, 5.17 | ||
| Oct 15 | 5 | 5.3-5.4 | 5.23, 5.25, 5.27, 5.29, 5.31, 5.33 | ||
| Oct 17 | 5 | 5.5-6.1 | 5.35, 5.37 | Homework 8 4.36, 4.38, 4.40, 4.44, 5.4, 5.6, 5.12, 5.14, 5.20 |
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| Oct 19 | 6. Mathematical Induction | 6.1 | 6.5, 6.9, 6.11 | ||
| Oct 22 | 6 | 6.2 | 6.13, 6.19, 6.23 | ||
| Oct 24 | 6 | 6.4 | 6.33, 6.35, 6.37 | Homework 9 5.26, 5.30, 5.32, 5.36, 5.46, 6.4, 6.8(b), 6.10 |
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| Oct 26 | Review Notations and terms, Practice Test 2, Solutions, Spring 2006 Test 2, Solutions, Fall 2007 MWF Test 2, Solutions, Fall 2007 TTh Test 2, Solutions | ||||
| Oct 29 | Test 2 (covers chapters 4-6) | ||||
| Oct 31 | 7. Prove or disprove | 7.1 | Homework 10 6.6, 6.14, 6.16, 6.18, 6.20, 6.22, 6.32, 6.34 |
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| Nov 2 | 7 | 7.2-7.3 | 7.1, 7.5, 7.9, 7.13, 7.21, 7.23, 7.27, 7.29, 7.39, 7.55, 7.65 | ||
| Nov 5 | 8. Equivalence relations | 8.1-8.2 | 8.1, 8.3 | For extra credit: read section 6.3 and do problems 6.26*, 6.28*, 6.30* | |
| Nov 7 | 8 | 8.2 | 8.5, 8.7, 8.9, 8.11, 8.13 | Homework 11 7.6, 7.12, 7.20, 7.24, 7.30, 7.34, 7.36, 7.38, 7.40 |
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| Nov 9 | 8 | 8.3 | 8.15, 8.17, 8.19 | ||
| Nov 12 | Veterans' Day observed- campus closed; no classes, no office hours | ||||
| Nov 14 | 8 | 8.4 | 8.21, 8.23, 8.25, 8.27 | Homework 12 8.4, 8.6, 8.10, 8.12**, 8.16, 8.18 |
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| Nov 16 | 8 | 8.5-8.6 | 8.29, 8.31, 8.33, 8.37 | ||
| Nov 19 | 9. Functions | 9.1-9.2 | 9.1, 9.3, 9.7 | ||
| Nov 21-23 | Thanksgiving recess - no classes, no office hours | ||||
| Nov 26 | 9 | 9.3 | 9.13, 9.17, 9.19 | ||
| Nov 28 | 9 | 9.4-9.5 | 9.21 | Homework 13 8.24, 8.26(a), 8.30, 8.38, 8.40, 9.2, 9.6(a-c) |
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| Nov 30 | 9 | 9.5-9.6 | 9.29, 9.35 | ||
| Dec 3 | 9 | 9.7 | 9.39 | ||
| Dec 5 | Review Practice Test 3, Solutions, Spring 2006 Test 3, Solutions, Fall 2007 MWF Test, Solutions, Fall 2007 TTh Test, Solutions | Homework 14 9.12, 9.14, 9.20, 9.22, 9.24, 9.28, 9.34, 9.38 | |||
| Dec 7 | Test 3 (covers chapters 7-9) |
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| Dec 10 | Review | ||||
| Dec 12 | Review Fall 2007 Final Exam, Fall 2007 (another section) Final Exam | ||||
| Dec 13-14 | Consultation days Sample final exam and study guide, Solutions office hours: Thur 12/13 9-11 and 1-2 in PB 340, Fri 12/14 11-11:50 in S2 206 |
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| Dec 17 | Final exam (comprehensive): 11:00-1:00 | ||||