Math 145. Problem solving. Fall 2018.
Tentative class schedule with homework assignments
This schedule is subject to change. Assignments shown in gray italics may change. Assignments shown in black regular font are final.
| Sep 6: | Last day to ADD classes without instructor's permission | ||
| Sep 13: | Last day to DROP classes online without permission | ||
| Sep 20: | Last day to DROP classes without a serious and compelling reason and without a grade of W (withdrawal) listed on university transcript | ||
| Nov 20: | Last day to WITHDRAW from classes for a serious and compelling reason | ||
| Date | Chapter and Topic | Problem(s) of the day | Homework due at 2 PM (bring to class) |
|---|---|---|---|
| Aug 24 | 1. Introduction Problem solving steps and strategies First three chapters of the book The College Mathematics Journal Problems Mathematics Magazine Problems The American Mathematical Monthly Problems |
none | |
| Aug 27 | 1.5 | ||
| Aug 29 | 2. Logic | 2.10 (all parts) | |
| Aug 31 | 2.11 (b,d,f) required; other parts optional | ||
| Sep 3 | Labor Day - campus closed | ||
| Sep 5 | 3. Types of proofs | 3.8 | homework 1: 2.4, 2.6, 2.8(a,c,e) |
| Thursday, Sep 6, 5:30-7:30 PM Math Circle, grades 9-12, S 139 |
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| Sep 7 | 3. Types of proofs | 3.10 | |
| Saturday, Sep 8, 10:00-11:30 AM Math Circle, grades 3-8 |
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| Sep 10 | 4. Principle of mathematical induction | 4.5(d) | |
| Sep 12 | 4.7 | homework 2: 3.2, 3.4, 3.6, 3.12 |
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| Sep 14 | 4.12 | ||
| 1:00-2:00 PM Problem Solving Playground, PB 428 |
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| 3:00-4:00 PM Putnam Competition Prep session, S2 210 |
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| Sep 17 | 5. Dirichlet's box principle | 5.2 | |
| Sep 19 | 5.6 | homework 3: any 3 problems from: 4.4, 4.5(b), 4.6, 4.8, 4.10, 4.14 |
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| Thursday, Sep 20, 5:30-7:30 PM Math Circle, grades 9-12 |
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| Sep 21 | 5. Dirichlet's box principle | 5.20 | |
| 3:00-4:00 PM Putnam Competition Prep session, S2 210 |
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| Saturday, Sep 22, 10:00-11:30 AM Math Circle, grades 3-8 |
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| Sep 24 | 6. Number theory Math Horizons Problems |
6.2 | |
| Sep 26 | 6.10 | homework 4: any 3 problems from: 5.8, 5.10, 5.12, 5.14, 5.16, 5.18, 5.22, 5.24, 5.26 (problem 5.22 correction and clarification: each coin has diameter 1cm, not radius; also, the new coin must be of the same size, i.e. also have diameter 1cm) |
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| Sep 28 | Review: Practice test 1, Solutions
Fall 2014 test 1 See also Fall 2005 Practice test 1, Solutions, and tests given in this class in Fall 2005 and Fall 2009 |
none | |
| 1:00-2:00 PM Problem Solving Playground, PB 428 |
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| 3:00-4:00 PM Putnam Competition Prep session, S2 210 |
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| Oct 1 | Test 1 (covers chapters 2-5) | none | |
| Oct 3 | 6. Number theory | 6.12 | homework 5: any 3 problems from: 6.6, 6.8, 6.14, 6.16, 6.18, 6.20, 6.22, 6.24, 6.25, 6.26 |
| Thursday, Oct 4, 5:30-7:30 PM Math Circle, grades 9-12 |
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| Oct 5 | 7. Case analysis | 7.2(c) | |
| 3:00-4:00 PM Putnam Competition Prep session, S2 210 |
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| Saturday, Oct 6, 10:00-11:30 AM Math Circle, grades 3-8 |
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| Oct 8 | 7. Case analysis | 7.8(a) | |
| Oct 10 | 7.12 | homework 6: 3 problems total at least 1 problem from: 6.29, 6.30, 6.31, 6.32, 6.33, 6.34, 6.35; at least 1 problem from: 7.2(a,b - both parts), 7.4 |
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| Oct 12 | 8. Finding a pattern | 8.4 | |
| 1:00-2:00 PM Problem Solving Playground, PB 428 |
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| No Putnam Competition Prep session this week | |||
| Turn in your solutions to the problems in Mathematics Magazine asap. The deadline for journal submission is November 1, however, you are strongly encouraged to show your solution(s) to your instructor and get feedback first. | |||
| Oct 15 | 8. Finding a pattern Last day to sign up for the Putnam Competition |
8.15(b) | |
| Sign up for Putman Competition if you would like to participate (on Saturday, December 1) | |||
| Oct 17 | 9. Invariants | 9.4 | homework 7: 3 problems total any 1 problem from: 7.8(c), 7.10(b), 7.13(b); any 2 problems form: 8.2, 8.6, 8.8, 8.12, 8.14, 8.15(c) |
| Thursday, Oct 18, 5:30-7:30 PM Math Circle, grades 9-12 |
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| Oct 19 | 9. Invariants | 9.12 | |
| 3:00-4:00 PM Putnam Competition Prep session, S2 210 |
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| Turn in your solutions to the problems in Math Horizons asap. The deadline for journal submission is November 9, however, you are strongly encouraged to show your solution(s) to your instructor and get feedback first. | |||
| Saturday, Oct 20, 10:00-11:30 AM Math Circle, grades 3-8 |
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| Oct 22 | 9. Invariants | 9.18 | |
| Oct 24 | 10. Coloring | 10.2 | homework 8: any 3 problems from: 9.2, 9.6, 9.8, 9.10, 9.14, 9.16 |
| Oct 26 | 10. Coloring | 10.14 | |
| 1:00-2:00 PM Problem Solving Playground, PB 428 |
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| 3:00-4:00 PM Putnam Competition Prep session, S2 210 |
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| Oct 29 | 10. Coloring | 10.16 | |
| Oct 31 | Review for test 2: Practice test 2,
Solutions Fall 2014 test 2 See also Fall 2005 Practice test 2, Solutions, and tests given in this class in Fall 2005 |
none | For extra credit: 9.20, 9.22, 9.24 |
| Nov 2 | Test 2 (covers chapters 6-9) | none | |
| 3:00-4:00 PM Putnam Competition Prep session, S2 210 |
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| Saturday, Nov 3, 10:00-11:30 AM Math Circle, grades 3-8 |
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| Nov 5 | 13. Graphs Additional problems |
13.2 | |
| Nov 7 | 13. Graphs | 13.8(a,b) | homework 9: any 3 problems from: 10.4, 10.6, 10.8, 10.10, 10.12, 10.20, 10.22; for extra credit: 10.18 (all parts; 10 points total; will be graded only if all yes/no answers to (b)-(d) are correct), 11.8, 11.12, 11.22, additional problem announced in class |
| Nov 9 | 13. Graphs | 13.18 | |
| 1:00-2:00 PM Problem Solving Playground, PB 428 |
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| Deadline for Problem Solving Contest registration Flyer, Registration form |
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| Nov 12 | Veteran's Day observed - no classes, no office hours | ||
| Nov 14 | 14. Working backwards | 14.4 | homework 10: any 3 problems from: 13.4, 13.6, 13.10, 13.12, 13.14, 13.16, 13.20, 13.22, 13.24; for extra credit: 12.2, 12.12, 12.16, 12.18 |
| 5:20-7:30 PM Fresno State Problem Solving Contest Flyer, Registration form |
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| Thursday, Nov 15, 5:30-7:30 PM Math Circle, grades 9-12 in S 139 |
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| Nov 16 | Field trip to
Department of Mathematics Day, University Business Center
(We won't meet in our regular classroom on this day, come straight to UBC) |
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| Saturday, Nov 17, 10:00-11:30 AM Math Circle, grades 3-8 |
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| Nov 19 | 14. Working backwards | 14.14 | |
| Nov 21 | Thanksgiving recess - no classes, no office hours | ||
| Nov 23 | |||
| Nov 26 | 14. Working backwards Math Horizons Problems |
14.26 | |
| Turn in your solutions to the problems in The College Mathematics Journal asap. The deadline for journal submission is December 15, however, you are strongly encouraged to show your solution(s) to your instructor and get feedback first. | |||
| Nov 28 | 15. Calculus | 15.6 | homework 11: any 3 problems from: 14.2, 14.10, 14.12, 14.16, 14.18, 14.20, 14.22, 14.24 |
| Thursday, Nov 29, 5:30-7:30 PM Math Circle, grades 9-12 |
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| Nov 30 | 15. Calculus | 15.12 | |
| 1:00-2:00 PM Problem Solving Playground, PB 428 |
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| Saturday, Dec 1, 10:00 AM - approx. 2:00 PM, lunch provided Math Circle, grades 3-8 competition and grading (20 points for this day) |
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| Saturday, Dec 1, 8-11 AM and 1-4 PM, S2 206 Putnam Competition |
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| Turn in your solutions to the problems in The American Mathematical Monthly and Math Horizons Problems asap. The deadlines for journal submission are December 31 and January 11, respectively, however, (1) you need to submit by December 19 to get credit, and (2) you are strongly encouraged to show your solution(s) to your instructor and get feedback first, especially if you'd like to present in class. | |||
| Dec 3 | 15. Calculus | 15.14 | |
| Dec 5 | Various problems / journal problems presentations | 16.6 or 16.8 or 16.10 or 16.12 (your choice) | homework 12: any 3 problems from: 15.2, 15.4, 15.8, 15.10, 15.16, 15.18, 15.20, 15.22, 15.24, 15.26, 15.28, 15.30, 15.32, 15.36 for extra credit: up to 3 additional problems from the above list |
| Thursday, Dec 6, 5:30-7:30 PM AMC 10/12 prep session, grades 9-10 in S 139, grades 11-12 in S 147 |
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| Dec 7 | Review: Practice test 3, Solutions, Fall 2014 test 3
see also tests given in this class in Fall 2005 and Fall 2009 |
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| Dec 10 | Test 3 (covers chapters 10, 13, 14, 15) | ||
| Dec 12 | Review Fall 2013 Final Exam, Fall 2009 Final Exam, Fall 2005 Final exam, Fall 2005 Final Exam Solutions, more practice problems |
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| Dec 13 | Faculty consultation day. Consultation hours: 8:30-11:30 AM | ||
| Thursday, Dec 13, 5:30-7:30 PM Math Circle dedicated to AMC 10/12 prep session, grades 9-10 in S 139, grades 11-12 in S 147 |
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| Dec 14 | Faculty consultation day. Consultation hours: 8:30-9:30 AM and 1:45-2:45 PM | ||
| Saturday, Dec 15, 10:00-11:30 AM Math Circle, grades 3-8 |
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| Dec 19 | 3:30 PM - 5:30 PM: Final exam (cumulative) |
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