Math 145. Problem solving. Fall 2020.
Tentative class schedule with homework assignments
| Sep 1 | Last day to ADD classes without instructor's permission | ||
| Sep 16 | Last day to DROP classes without a serious and compelling reason and without a grade of W (withdrawal) listed on university transcript | ||
| Nov 13 | Last day to DROP classes for a serious and compelling reason | ||
| Date | Chapter and Topic | Problem(s) of the day | Homework due at 12 PM (submit via Overleaf) |
|---|---|---|---|
| Aug 19 | 1. Introduction. Syllabus. Overleaf, Homework 1 template. Co-curricular activities. 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 20 | 1.5 | ||
| Aug 24 | 2. Logic | 2.10 (all parts) | |
| Aug 26 | 2. Logic | 2.11 (b,d,f) required; other parts optional | |
| Aug 27 | 3. Types of proofs | 3.8 | |
| Aug 31 | 3.10 | ||
| Sep 1 | 12:00-12:50 PM, Journal Problem Solving Group | ||
| Sep 2 | 4. Principle of mathematical induction Chapter 4 of the book |
4.5(d) | |
| Sep 3 | 4.7 | homework 1: 2.4, 2.6, 2.8(a,c,e) Homework 1 template |
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| Sep 7 | Labor Day - no classes or office hours | ||
| Sep 8 | 12:00-12:50 PM, Journal Problem Solving Group Math Horizons Problems | ||
| Sep 9 | 4. Principle of mathematical induction | 4.12 | |
| 5:30-7:30 PM, Math Circle, grades 9-12 Report attendance |
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| Sep 10 | 5. Dirichlet's box principle | 5.2 | homework 2: any 3 problems from: 3.2, 3.4, 3.6, 3.12 |
| Sep 12 | 10:00-11:30 AM, Math Circle, grades 7-8 | ||
| Sep 14 | 5. Dirichlet's box principle | 5.6 | |
| Sep 15 | 12:00-12:50 PM, Journal Problem Solving Group | ||
| 4:00-5:00 PM, Problem Solving Playground - not held yet; will start next week | |||
| Sep 16 | 5. Dirichlet's box principle | 5.20 | |
| Sep 17 | 6. Number theory | 6.2 | homework 3: any 3 problems from: 4.4, 4.5(b), 4.8, 4.10, 4.14 |
| Sep 21 | 6. Number theory | 6.10 | |
| Sep 22 | 12:00-12:50 PM, Journal Problem Solving Group | ||
| 4:00-5:00 PM, Problem Solving Playground Report attendance |
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| Sep 23 | 6. Number theory | 6.12 | |
| 5:30-7:30 PM, Math Circle, grades 9-12 Report attendance |
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| Sep 24 | Drawing pictures in LaTeX: sample file 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 | homework 4: any 3 problems from: 5.8, 5.12, 5.14, 5.16, 5.18, 5.26 |
| Sep 26 | 10:00-11:30 AM Math Circle, grades 7-8 |
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| Sep 28 | Test 1 (covers chapters 2-5), via Canvas | none | |
| Sep 29 | 4:00-5:00 PM, Problem Solving Playground Report attendance |
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| Sep 30 | 7. Case analysis | 7.2(c) | |
| Oct 1 | 7.8(a) | homework 5: any 3 problems from: 6.6, 6.14, 6.18, 6.20, 6.22, 6.24, 6.25 for extra credit: up to 3 additional problems from the above list |
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| Oct 5 | 7. Case analysis | 7.12 | |
| Oct 6 | 12:00-12:50 PM, Journal Problem Solving Group | ||
| 4:00-5:00 PM, Problem Solving Playground Report attendance |
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| Oct 7 | 8. Finding a pattern | 8.4 | |
| 5:30-7:30 PM, Math Circle, grades 9-12 Report attendance |
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| Oct 8 | 8. Finding a pattern | 8.15(b,c) | homework 6: any 2 problems from: 6.29, 6.30, 6.32, 6.33, 6.34 any 1 problem from: 7.2(a,b - both parts), 7.4 |
| Oct 10 | 10:00-11:30 AM, Math Circle, grades 7-8 | ||
| Turn in your solutions to the problems in Math Horizons and/or problems in Mathematics Magazine asap. The deadlines for journal submissions are October 31 and November 1, respectively, however, you are strongly encouraged to show your solution(s) to your instructor and get feedback first. | |||
| Oct 12 | 9. Invariants | 9.4 | |
| Oct 13 | 12:00-12:50 PM, Journal Problem Solving Group | ||
| 4:00-5:00 PM, Problem Solving Playground Report attendance |
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| Oct 14 | 9. Invariants | 9.12 | |
| Oct 15 | 9.18 | homework 7: 3 problems total any 1 problem from: 7.8(c), 7.10(b) any 2 problems form: 8.2, 8.6, 8.12, 8.14 |
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| Oct 19 | 10. Coloring | 10.2 | |
| Oct 20 | 12:00-12:50 PM, Journal Problem Solving Group | ||
| 4:00-5:00 PM, Problem Solving Playground Report attendance |
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| Oct 21 | 10. Coloring | 10.14 | |
| 5:30-7:30 PM, Math Circle, grades 9-12 Report attendance |
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| Oct 22 | 10. Coloring | 10.16 | homework 8: any 3 problems from: 9.6, 9.8, 9.10, 9.14, 9.16 |
| Oct 24 | 10:00-11:30 AM, Math Circle, grades 7-8 | ||
| Turn in your solutions to the problems in The College Mathematics Journal asap. The deadline for journal submission is November 15, however, you are strongly encouraged to show your solution(s) to your instructor and get feedback first. | |||
| Oct 26 | 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 | |
| Oct 27 | 12:00-12:50 PM, Journal Problem Solving Group | ||
| 4:00-5:00 PM, Problem Solving Playground Report attendance |
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| Oct 28 | Test 2 (covers chapters 6-9), via Zoom with video on | none | |
| Oct 29 | 13. Graphs Additional problems |
13.2 | For extra credit: 9.20, 9.22, 9.24, additional problem announced in class |
| Nov 2 | 13. Graphs | 13.8 | |
| Nov 3 | 12:00-12:50 PM, Journal Problem Solving Group Mathematics Magazine Problems The College Mathematics Journal Problems | ||
| 4:00-5:00 PM, Problem Solving Playground Report attendance |
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| Nov 4 | 13. Graphs | 13.14 | |
| 5:30-7:30 PM, High School Problem Solving Competitition | |||
| Nov 5 | 14. Working backwards | 14.4 | homework 9: any 3 problems from: 10.4, 10.6, 10.8, 10.10, 10.12, 10.20 for extra credit: 10.18 (all parts; 10 points total; need justification, yes/no answers without correct justification will not receive credit), 11.8, 11.12, 11.22 Drawing boards, tiles, and other geometic shapes in LaTeX |
| Nov 7 | 10:00-11:30 AM, Math Circle, grades 7-8 | ||
| Nov 9 | 14. Working backwards | 14.14 | |
| Nov 10 | 12:00-12:50 PM, Journal Problem Solving Group | ||
| Nov 11 | Veteran's Day - no classes or office hours | ||
| Nov 12 | 14. Working backwards Rotate the die up to 31 game |
14.26 | homework 10: any 3 problems from: 13.4, 13.6, 13.10, 13.12, 13.16, 13.20 for extra credit: 12.2, 12.12, 12.16, 12.18 |
| 5:30-7:30 PM, Adnan H. Sabuwala Problem Solving Competitition | |||
| Nov 16 | 15. Calculus | 15.6 | |
| Nov 17 | 12:00-12:50 PM, Journal Problem Solving Group | ||
| 4:00-5:00 PM, Problem Solving Playground Report attendance |
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| Nov 18 | 15. Calculus | 15.14 | |
| 5:30-7:30 PM, Math Circle, grades 9-12 Report attendance |
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| Nov 19 | 15. Calculus November issue of Math Horizons - problems |
15.30 | homework 11: any 3 problems from: 14.2, 14.12, 14.16, 14.18, 14.22, 14.24 |
| Nov 20 | Department of Mathematics Day (DMD), Website with schedule, Zoom links, etc. Report attendance |
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| Nov 21 | 10:00-11:30 AM, Math Circle, grades 7-8 | ||
| Nov 23 | 15. Calculus | 15.38 | |
| Nov 24 | 12:00-12:50 PM, Journal Problem Solving Group | ||
| Nov 25 | Thanksgiving recess - no classes or office hours | ||
| Nov 26 | |||
| Nov 30 | Various problems / journal problems presentations | 16.6 or 16.8 (your choice) | |
| Dec 1 | 12:00-12:50 PM, Journal Problem Solving Group | ||
| 4:00-5:00 PM, Problem Solving Playground Report attendance |
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| Dec 2 | Various problems / journal problems presentations | 16.10 or 16.12 (your choice) | homework 12: any 3 problems from: 15.2, 15.4, 15.8, 15.10, 15.16, 15.24, 15.26 for extra credit: up to 3 additional problems from the above list |
| 5:30-7:30 PM, Math Circle, grades 9-12 - AMC 10/12 practice Report attendance |
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| Dec 3 | 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 7 | Test 3 (covers chapters 10, 13, 14, 15), via Zoom with video on | ||
| Dec 8 | 12:00-12:50 PM, Journal Problem Solving Group | ||
| 4:00-5:00 PM, Problem Solving Playground Report attendance |
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| Dec 9 | 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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Turn in all solutions to journal problems asap. The journal deadlines for the following problems are after the semester is over (ranging from December 31 to March),
however, to receive credit for this class any solutions must be turned in by December 11. Math Horizons Journal Problems The College Mathematics Journal Problems Mathematics Magazine Problems The American Mathematical Monthly Problems | |||
| Dec 10 | Faculty consultation day. Consultation hours: 12-1:20pm for Math 145 specifically at our usual class Zoom link | ||
| Dec 11 | Faculty consultation day. Consultation hours: 11am-1pm and 3-4pm for all classes at the usual Friday office hours link | ||
| Dec 16 | 1:15 PM - 3:15 PM: Final exam (cumulative), via Zoom with video on |
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