Math 111. Transition to Advanced Mathematics. Fall 2007.
Tentative class schedule with homework assignments
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.
| Sep 10: | Last day to ADD classes without special permission, DROP classes without a serious and compelling reason | ||||
| Sep 24: | Last day to ADD classes with permission, DROP classes for serious and compelling reason without a grade of W (withdrawal) listed on university transcript | ||||
| Nov 20: | Last day to WITHDRAW from a course for a serious and compelling reason | ||||
| Week/Date | Chapter | Topic | Problems recommended but will not be graded |
HW due Wed/Thur | |
| Aug 27-31 | Introduction | ||||
| 0 | Communicating mathematics |
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| 1 |
Sets (sections 1.1-1.4) |
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| Sep 3 | Labor Day - no classes, no office hours | 1.1, 1.3, 1.5, 1.7, 1.17 | Homework 1 1.2, 1.4, 1.8(a), 1.16, 1.18 Solutions |
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| Sep 4-7 |
1 | (sections 1.5-1.7) | |||
| 2 | Logic (sections 2.1-2.4) |
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| Sep 10-14 | (sections 2.5-2.11, nested quantifiers) | 1.20, 1.25, 1.27 2.1, 2.5, 2.7, 2.11 |
Homework 2 1.24(a), 1.26, 1.28 hw2 additional question, 2.8, 2.10, 2.12 Solutions |
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| Sep 17-21 | 3 | Direct proof and proof by contrapositive (sections 3.1-3.3) |
2.15, 2.21, 2.27, exercises in nested quantifiers handout |
Homework 3 2.14, 2.16, 2.22, hw3 additional questions Solutions |
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| Sep 24-28 | (sections 3.4-3.5) | 3.1, 3.3, 3.5, 3.7 | Homework 4 hw4 additional questions, 3.2, 3.4, 3.6, 3.8 Solutions |
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| 4 | More on direct proof and proof by contrapositive (started section 4.1) |
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| Review Notations and terms, Practice Test 1,
Solutions Spring 2006 Test 1, Solutions |
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| Oct 1-5 | Mon/Tues (Oct 1/2): Test 1 (covers chapters 0-3) MWF Test, Solutions, TTh Test, Solutions |
3.13, 3.15, 3.23 4.1, 4.3 |
Homework 5 3.12, 3.14, 3.16, 3.20, 3.22 4.2, 4.4 Solutions |
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| 4 | (sections 4.1-4.2) | ||||
| Oct 8-12 | 4 | (sections 4.3-4.6) | 4.5, 4.7, 4.9, 4.11, 4.41 | Homework 6 4.6, 4.8, 4.10, 4.12, 4.42 Solutions |
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| Oct 15-19 | 5 | Proof by contradiction | 4.13, 4.15, 4.19, 4.23(a), 4.25, 4.31, 4.32, 4.35 |
Homework 7 4.14, 4.18, 4.20, 4.22, 4.23(b,c), 4.24, 4.27, 4.28, 4.37 Solutions |
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| 6 | Prove or disprove (started section 6.1) |
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| Fri, Oct 19, 4-5 PM, UBC Alice Peters Auditorium: Mathematics Colloquium Doron Zeilberger, "Mathematics: An Experimental Science Indeed" Attendance is optional; for extra credit (up to 5 points): attend the talk and write a short report (less than 1 page) about it |
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| Oct 22-26 | 6 | (sections 6.1-6.8) | 5.1, 5.3, 5.5, 5.7, 5.11, 5.17, 5.21 | Homework 8 5.2, 5.4, 5.6, 5.8, 5.10, 5.14, 5.16, 5.20 Solutions |
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| Oct 29-Nov 2 | 7 | Equivalence relations (sections 7.1-7.2, started 7.3) |
6.1, 6.3, 6.5, 6.7, 6.9, 6.11, 6.15, 6.21, 6.35 | Homework 9 6.4, 6.6, 6.10, 6.12, 6.14, 6.16, 6.18, 6.33 Solutions |
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| Review Notations and terms, Practice Test 2,
Solutions Spring 2006 Test 2, Solutions |
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| Fri, Nov 2, 4-5 PM, AG 109: Mathematics Colloquium Sam Payne, "Bidding Games - Theory and Practice" Attendance is optional; for extra credit (up to 5 points): attend the talk and write a short report (less than 1 page) about it |
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| Nov 5-9 | Mon/Tue (Nov 5/6): Test 2 (covers chapters 4-6) MWF Test, Solutions, TTh Test, Solutions |
7.1, 7.3, 7.5, 7.7, 7.11, 7.25 | Homework 10 7.6, 7.8, 7.10, 7.18, 7.22, 7.26 Solutions |
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| 7 | (sections 7.3-7.4) | ||||
| Nov 12 | Veterans' Day - no classes, no office hours | 7.13, 7.15, 7.17, 7.23, 7.27, 7.45 | Homework 11 7.12, 7.14, 7.16, 7.20, 7.24, 7.44(a (ii),(iv),(v)) Solutions |
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| Nov 13-16 | 7 | (section 7.5) | |||
| 8 | Functions (sections 8.1-8.2) |
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| Nov 19-20 | 8 | (sections 8.3-8.4) | no homework due this week | ||
| Nov 21-23 | Thanksgiving recess - no classes, no office hours | ||||
| Nov 26-30 | 8 | (sections 8.5-8.6) | 7.37, 8.1, 8.3, 8.5, 8.9, 8.13, 8.17 | Homework 12 7.28, 7.34(a,b), 7.36, 8.2, 8.4, 8.6, 8.8, 8.12, 8.14* Solutions (For extra credit: read section 7.6 and do problems 7.39, 7.40, 7.42(a,b)) |
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| 9 | Mathematical induction (sections 9.2-9.3) |
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| Dec 3-7 | 9 | (sections 9.4-9.6, 9.8) | 8.23, 8.25, 9.1, 9.3, 9.5, 9.11 | Homework 13 8.19, 8.22, 9.4, 9.8(a), 9.9, 9.12 Solutions (For extra credit: read section 8.7 and do problem 8.32; also 9.8 (b,c,d)) |
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| Review Practice Test 3, Solutions, Spring 2006 Test 3, Solutions |
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| Dec 10-12 | Mon/Tue (Dec 10/11): Test 3 (covers chapters 7-9) MWF Test, Solutions, TTh Test, Solutions |
9.15, 9.20, 9.33, 9.35, 9.39 | Homework 14 (due Tues/Wed) 9.14, 9.19, 9.32, 9.40 Solutions (For extra credit: 9.13, 9.16, 9.22, 9.24, 9.34) |
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| Review: Sample Final and Study Guide, Solutions,
Spring 2006 Final Exam, Solutions |
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| Dec 13-14 | Consultation days Thur, Dec 13: 12:30-1:45 in S 141; 2-3 in PB 340 Fri, Dec 14: 12-12:50 in S2 206; 1-2:30 in PB 340 |
Sample Final, for extra credit, due Dec 13 by 12:30, Solutions Optional assignment, for extra credit, accepted before the final exam |
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| Dec 18-19 | Final exam (comprehensive) MWF section: Wed, Dec 19 1:15-3:15 PM TTh section: Tue, Dec 18 1:15-3:15 PM |
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