Math 145. Problem solving. Fall 2021.
Tentative class schedule with homework assignments
Important Deadlines | ||||
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Sep 19 | Last day to DROP classes without a serious and compelling reason and without a grade of W (withdrawal) listed on university transcript | |||
Sep 20 | Last day to ADD classes | |||
Nov 12 | Last day to DROP classes for a serious and compelling reason | |||
Date | Chapter and Topic | Problem(s) of the day: solve before class | Homework due at 11 AM / 2 PM: submit via Overleaf) | |
Aug 23 | Syllabus. Overleaf, Homework 1 template.
Chapters 0-11 and 13-14 of the book (updated 11/23/21) |
none | ||
Aug 25 | 1. Introduction. Co-curricular activities: journal problems, PSP, PSC, Math Circle.
Problem solving steps and strategies Mathematics Magazine Problems The American Mathematical Monthly Problems Math Horizons Problems The College Mathematics Journal Problems |
1.5 | ||
Aug 27 | 2. Principle of mathematical induction | 2.5(d) | ||
Aug 28 | 10:00-11:30 AM, Math Circle, grades 8-9 (and 6-7), need to sign up | |||
Aug 30 | 2. Principle of mathematical induction | 2.16 | ||
Sep 1 | 2. Principle of mathematical induction | 2.25 | ||
Sep 1 | 5:30-7:30 PM, Math Circle, grades 9-12 / AMC 10/12 practice, need to sign up, Report attendance | |||
Sep 3 | 3. Dirichlet's box principle | 3.10 | ||
Sep 3 | 12:00-12:50 PM, Journal Problem Solving Group, open to all, at the usual class link | |||
Sep 6 | Labor Day - no classes or office hours | |||
Sep 8 | 3. Dirichlet's box principle | 3.26 | ||
Sep 10 | 3. Dirichlet's box principle | 3.36 | homework 1: any 3 problems from: 2.8, 2.12, 2.14, 2.18, 2.20, 2.22 for extra credit: 2.24 or 2.26 Homework 1 template (optional, may use your own) |
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Sep 10 | 12:00-12:50 PM, Journal Problem Solving Group, open to all, at the usual class link | |||
Sep 11 | 10:00-11:30 AM, Math Circle, grades 8-9, need to sign up | |||
Sep 13 | 4. Number theory | 4.2(a) | ||
Sep 15 | 4. Number theory | 4.10 | ||
Sep 15 | 5:30-7:30 PM, Math Circle, grades 9-12 / AMC 10/12 practice, need to sign up, Report attendance | |||
Sep 17 | 4. Number theory | 4.36 | homework 2: any 3 problems from: 3.8, 3.16, 3.18, 3.22, 3.28, 3.30 for extra credit: 3.34 or 3.38 |
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Sep 17 | 12:00-12:50 PM, Journal Problem Solving Group, open to all, at the usual class link | |||
Sep 20 | 5. Case analysis | 5.3(b) | ||
Sep 22 | 5. Case analysis | 5.14 | ||
Sep 24 | 6. Finding a pattern | 6.2 | homework 3: any 3 problems from: 4.16, 4.27(d), 4.28, 4.30, 4.32, 4.34 for extra credit: 4.26 or 4.44 |
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Sep 24 | 12:00-12:50 PM, Journal Problem Solving Group, open to all, at the usual class link | |||
Sep 25 | 10:00-11:30 AM, Math Circle, grades 8-9, need to sign up | |||
Sep 27 | 6. Finding a pattern | 6.6 | ||
Sep 29 | 6. Finding a pattern | 6.19(b,c) | ||
Sep 29 | 5:30-7:30 PM, Math Circle, grades 9-12 / AMC 10/12 practice, need to sign up, Report attendance | |||
Oct 1 | 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: 3 problems total 1 or 2 problems from: 5.2(a and c), 5.3(d), 5.4(a), 5.8 1 or 2 problems from: 5.16, 5.18 for extra credit: 5.10(a) or 5.11(b) |
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Oct 1 | 12:00-12:50 PM, Journal Problem Solving Group, open to all, at the usual class link | |||
Oct 4 | Test 1 (covers chapters 2-5), in class via Zoom, with camera on | none | ||
Oct 6 | 7. Working backwards | 7.4 | ||
Oct 6 | 4:00-5:00 PM, Problem Solving Playground, open to all, see Canvas for the link, Report attendance | |||
Oct 8 | 7. Working backwards | 7.14 | homework 5: any 3 problems from: 6.4, 6.8, 6.10, 6.14, 6.16, 6.20 for extra credit: 6.18 |
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Oct 8 | 12:00-12:50 PM, Journal Problem Solving Group, open to all, at the usual class link | |||
Oct 9 | 10:00-11:30 AM, Math Circle, grades 8-9, need to sign up | |||
Oct 11 | 7. Working backwards | 7.26 | ||
Oct 13 | 8. Invariants | 8.2 | ||
Oct 13 | 4:00-5:00 PM, Problem Solving Playground, open to all, see Canvas for the link, Report attendance | |||
Oct 13 | 5:30-7:30 PM, Math Circle, grades 9-12 / AMC 10/12 practice, all spots are full, Report attendance | |||
Oct 15 | 8. Invariants | 8.14 | homework 6: any 3 problems from: 7.6, 7.8, 7.10, 7.16 (see correction here), 7.22, 7.28 for extra credit: 7.30 or 7.32 |
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Oct 15 | 12:00-12:50 PM, Journal Problem Solving Group, open to all, at the usual class link | |||
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 18 | 8. Invariants | 8.22 | ||
Oct 20 | 9. Coloring | 9.2 | ||
Oct 20 | 4:00-5:00 PM, Problem Solving Playground, open to all, see Canvas for the link, Report attendance | |||
Oct 22 | 9. Coloring | 9.10 | homework 7: any 3 problems from: 8.4, 8.8, 8.10(a), 8.12, 8.18, 8.32 for extra credit: 8.10(b) or 8.34 |
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Oct 22 | 12:00-12:50 PM, Journal Problem Solving Group, open to all, at the usual class link | |||
Oct 23 | 10:00-11:30 AM, Math Circle, grades 8-9, all spots are full | |||
Oct 25 | 9. Coloring | 9.16 | ||
Oct 27 | 10. Graphs | 10.2 | ||
Oct 27 | 4:00-5:00 PM, Problem Solving Playground, open to all, see Canvas for the link, Report attendance | |||
Oct 27 | 5:30-7:30 PM, High School Problem Solving Competition, one helper (proctor) is needed, the spot is filled | |||
Oct 29 | 10. Graphs | 10.22 | homework 8: any 3 problems from: 9.4, 9.8, 9.12, 9.20, 9.24, 9.26 for extra credit: 9.22 |
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Oct 29 | 12:00-12:50 PM, Journal Problem Solving Group, open to all, at the usual class link | |||
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. | ||||
Nov 1 | 10. Graphs | 10.42 | ||
Nov 3 | 11. Combinatorics | 11.4 | ||
Oct 3 | 4:00-5:00 PM, Problem Solving Playground, open to all, see Canvas for the link, Report attendance | |||
Nov 5 | 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 | homework 9: any 3 problems from: 7.12, 7.24, 8.16, 8.24(a), 9.6, 9.14 for extra credit: 8.24(b) or 9.30 |
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Nov 5 | 12:00-12:50 PM, Journal Problem Solving Group, open to all, at the usual class link | |||
Nov 6 | 10:00-11:30 AM, Math Circle, grades 8-9, all spots are full | |||
Nov 8 | Test 2 (covers chapters 6-9), in class via Zoom, with video on | none | ||
Nov 10 | 11. Combinatorics | 11.22 | ||
Nov 12 | 11. Combinatorics | 11.48 | homework 10: any 3 problems from: 10.10, 10.12, 10.18, 10.26, 10.30, 10.40 for extra credit: 10.46 or 10.52 |
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Nov 12 | 12:00-12:50 PM, Journal Problem Solving Group, open to all, at the usual class link | |||
Nov 12 | 5:25-7:35 PM, Adnan H. Sabuwala Problem Solving Competitition | |||
Nov 15 | 13. Calculus | 13.8 | ||
Nov 17 | 13. Calculus | 13.12 | ||
Oct 17 | 4:00-5:00 PM, Problem Solving Playground, open to all, see Canvas for the link, Report attendance | |||
Nov 19 | "Field trip" to Department of Mathematics Day (DMD),
open to all, need to sign up to give a talk or play in Math Jeopardy; encouraged to RSVP but do not have to sign up to just attend.
No regular class |
none | homework 11: any 3 problems from: 11.6, 11.10, 11.28, 11.30, 11.54, 11.64 for extra credit: 11.46 (at least two parts) or 11.62 |
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Nov 20 | 10:00-11:30 AM, Math Circle, grades 8-9, all spots are full | |||
Nov 22 | 13. Calculus | 13.22 | ||
Nov 24 | Thanksgiving recess - no classes or office hours | |||
Nov 26 | ||||
Nov 29 | 14. Various problems / journal problems presentations | 14.12, 14.16, or 14.20 (your choice) | ||
Nov 30 | 5:00-6:30 PM, AMC 8 practice, grades 6-8, all spots are full | |||
Dec 1 | 14. Various problems / journal problems presentations | 14.18, 14.24, or 14.26 (your choice) | homework 12: any 3 problems from: 13.10, 13.14, 13.16, 13.24, 13.36, 13.38 for extra credit: 13.26 or 13.32 |
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Dec 1 | 4:00-5:00 PM, Problem Solving Playground, open to all, see Canvas for the link, Report attendance | |||
Dec 1 | 5:30-7:30 PM, Math Circle, grades 9-12, all spots are full, Report attendance | |||
Dec 3 | Review: Sample Test 3, Fall 2014 test 3
see also tests given in this class in Fall 2005 and Fall 2009 |
none | ||
Dec 3 | 12:00-1:50 PM (note the longer time period for this session - you may attend 12-12:50, 1-1:50, or both), Journal Problem Solving Group, open to all, at the usual class link | |||
Dec 4 | approx. 8:00 AM - 4:00 PM, Putnam Competition, need to sign up in advance here. Contact Dr. Delcroix for details. Report attendance | |||
Dec 6 | Test 3 (covers chapters 10, 11, 13), in class via Zoom, with video on | none | ||
Dec 8 | Review Fall 2013 Final Exam, Fall 2009 Final Exam, Fall 2005 Final exam, Fall 2005 Final Exam Solutions, more practice problems |
none | ||
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 May),
however, to receive credit for this class any solutions must be turned in by December 10. Math Horizons Journal Problems The College Mathematics Journal Problems Mathematics Magazine Problems The American Mathematical Monthly Problems | ||||
Dec 9 | Faculty consultation day. Consultation hours: 1:30-2:20 pm for all classes at the Tuesday office hours link | |||
Dec 10 | Faculty consultation day. Consultation hours: 10:00-10:50 am for all classes at the Tuesday office hours link,
11:00-11:50 am and 2:00-2:50 pm for Math 145 specifically at our usual class Zoom link |
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Dec 13 | 11:00 AM - 1:00 PM (11:00-11:50 AM section): Final exam (cumulative), via Zoom, with video on |
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Dec 15 | 3:30 PM - 5:30 PM (2:00-2:50 PM section): Final exam (cumulative), via Zoom, with video on |