Math 111. Transition to Advanced Mathematics. Spring 2006.
Tentative class schedule with homework assignments
Note: Dr. Maria Nogin is on leave since 4/17/06. This schedule will no longer be updated. Dr. Mike Fisher will be substituting. Contact him for updates.
This schedule is subject to change.
Assignments shown in gray may change. The ones shown in black will not.
Each part (a, b, etc.) of each problem (for which a, b, etc. are shown) 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. If no parts are shown and the problem is not marked by *, then the whole problem is worth 1 point.
| Jan 31: | Last day to ADD classes without special permission, DROP classes without a serious and compelling reason | |||||
| Apr 18: | Last day to WITHDRAW from a course for a serious and compelling reason | |||||
| Date | Read before class | Chapter | Topic | Problems recommended but will not graded |
HW due | |
| Jan 18 | Introduction - First class | |||||
| 0 | Communicating mathematics |
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| Jan 20 | ch.0 | |||||
| 1 |
Sets |
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| Jan 23 | 1.1-1.4 | |||||
| Jan 25 | 1.5-1.7 | |||||
| Jan 27 | 2.1-2.3 | 2 | Logic | |||
| Jan 30 | 2.4-2.6 | |||||
| Feb 1 | 2.7-2.9 | 1.1, 1.3, 1.5, 1.7, 1.17, 1.20, 1.25, 1.27 | 1.2, 1.4, 1.8(a), 1.16, 1.18, 1.24(a), 1.26, 1.28 | |||
| Feb 3 | 2.10-2.11 | |||||
| Feb 6 | nested quantifiers | |||||
| Feb 8 | 3.1-3.2 | 3 | Direct proof and proof by contrapositive | 2.1, 2.5, 2.7, 2.11, 2.15, 2.21 | hw2-question1, 2.8, 2.10, 2.12, 2.14, 2.16, 2.22 | |
| Feb 10 | 3.3 | |||||
| Feb 13 | 3.4-3.5 | |||||
| Feb 15 | 4.1 | 2.27, exercises in nested quantifiers handout 3.1, 3.3 |
hw3 | |||
| 4 | More on direct proof and proof by contrapositive | |||||
| Feb 17 | Discussion of questions related to homework 3 | |||||
| Colloquium talk: Norman K. Glendenning from Lawrence Berkeley National Laboratory speaking about "After the Beginning". 3:00-4:00, McLane 162 | ||||||
| Feb 20 | Presidents' day - all offices closed - no classes, no office hours | |||||
| Feb 22 | 4.2 | 4 | More on direct proof and proof by contrapositive |
3.5, 3.7, 3.13, 3.15, 3.23 | 3.4, 3.6, 3.8, 3.12, 3.14, 3.16, 3.20, 3.22 | |
| Feb 24 | ||||||
| Review Notations and terms, Practice Test 1, Solutions | ||||||
| Extra office hours: 2-3:30 PM. | ||||||
| Feb 27 | Test 1 (chapters 0-3), Solutions | |||||
| Mar 1 | 4.3 | 4 | More on direct proof and proof by contrapositive | 4.1, 4.3, 4.9, 4.41 | hw5 | |
| Mar 2 | Colloquium talk: Steven Krantz from Washington University in St. Louis speaking about "A Matter of Gravity". 3:00-4:00, Alice Peters Auditorium (UBC) Optional assignment (for 5 extra points): (1) Go to this talk and sign in; (2) Write a short essay (1 or 2 paragraphs) about this talk. |
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| Mar 3 | 4.4 | 4 | More on direct proof and proof by contrapositive | |||
| Mar 6 | 4.5-4.6 | |||||
| Mar 8 | 5.1-5.3 | 5 | Proof by contradiction | 4.13, 4.15, 4.19, 4.23, 4.25, 4.41 | 4.14, 4.18, 4.20, 4.22, 4.24, 4.42 | |
| Mar 10 | 5.4-5.5 | |||||
| Mar 13 | 5.6 | 6 | Prove or disprove | |||
| Mar 15 | 6.1-6.3 | 4.31, 4.32, 4.35, 5.1, 5.3, 5.5 |
4.27, 4.28, 4.37, 5.4, 5.6, 5.14, 5.20 |
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| Mar 17 | 6.4-6.8 | |||||
| Mar 20 | 7.1-7.2 | 7 | Equivalence relations (skip 7.6) |
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| Mar 22 | 7.3 | 5.7, 5.11, 5.17, 5.21, 6.1, 6.3, 6.5, 6.11 |
5.8, 5.2, 5.10, 5.16, 6.4, 6.12, 6.18, 6.34 |
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| Mar 24 | 7.4 | |||||
| Mar 27 | 7.5 | |||||
| Mar 28 | Colloquium talk: Jean Pedersen from Santa Clara University speaking about "Systematic Paper-Folding, a Related Number-Theoretic Conjecture, and Polyhedral Models Constructed from the Folded Paper". 2:00-3:00, PB 194 Optional assignment (for 5 extra points): (1) Go to this talk and sign in; (2) Write a short essay (1 or 2 paragraphs) about this talk. |
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| Mar 29 | Review Notations and terms, Practice Test 2, Solutions | 6.7, 6.9, 6.15, 6.21, 6.35, 7.1, 7.3, 7.5, 7.7 |
6.6, 6.14, 6.16, 7.4, 7.6, 7.8, 7.10, 7.22 |
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| Mar 31 | Cesar Chavez Day - campus closed - no classes. Office hours will be held. | |||||
| Apr 3 | Test 2 (sections 4.1-7.2), Solutions | |||||
| Apr 4 | Colloquium talk: Garth Isaak from Lehigh University speaking about
"When does x is less than or equal to a, x is larger than or equal to 0 have a solution?". 4:00-5:00, Alice Peters Auditorium (UBC) Optional assignment (for 5 extra points): (1) Go to this talk and sign in; (2) Write a short essay (1 or 2 paragraphs) about this talk. |
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| Apr 5 | 8.1-8.2 | 8 | Functions | 7.11, 7.15, 7.17, 7.23, 7.25, 7.27, 7.37, 7.45 | 7.14, 7.16, 7.24, 7.26, 7.28, 7.36* | |
| Apr 7 | 8.3-8.4 | |||||
| Apr 10 | Spring recess - no classes, no office hours | |||||
| Apr 12 | ||||||
| Apr 14 | ||||||
| Apr 17 | 8.5-8.6 | 8 | Functions | |||
| Apr 19 | 8.7 | 8.1, 8.3, 8.5, 8.9, 8.13, 8.17 | 8.2, 8.6, 8.8, 8.12, 8.14*, 8.18, 8.19 | |||
| Apr 21 | 9.1-9.3 | 9 | Mathematical induction | |||
| Apr 22 | Math Field Day: VOLUNTEERS NEEDED! Please ask Maria Nogin for details. In addition to the benefits listed in the flyer (see the above link), you will get 10 extra points for your participation. |
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| Apr 24 | 9.4-9.6 | 9 | Mathematical induction | |||
| Apr 26 | 9.7-9.8 | |||||
| Apr 27 | Integration Bee Contest: 7:00 - approx. 9:00 PM, in S2 109. Open to all CSUF undergraduate students. | |||||
| Apr 28 | 10 | Cardinalities of sets | ||||
| May 1 | ||||||
| May 3 | ||||||
| May 5 | Review | |||||
| May 8 | Test 3 (sections 7.3-7.5 and 8.1-TBA) | |||||
| May 10 | Review | |||||
| May 11 | Consultation days. Office hours: TBA | |||||
| May 12 | ||||||
| May 15 | 11:00 AM - 1:00 PM, Final exam (comprehensive) | |||||