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Math 145. Problem solving. Fall 2022.

Tentative class schedule with homework assignments

This schedule is subject to change.

Assignments shown in gray italics may (and very likely will) change. The ones shown in black regular font will not.

Important Deadlines
Sep 2Last day to ADD a class without a permission number
Sep 16Last day to DROP a class without a serious and compelling reason and without a grade of W (withdrawal) listed on university transcript
Sep 19Last day to ADD a class with a permission number
Nov 11Last 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 11:59 PM: submit via Overleaf)
Aug 22 Syllabus. Overleaf, Homework 1 template.
Textbook (updated 8/25/22)
none
Aug 24 1. Introduction. Co-curricular activities: Journal Problems, PSP, PSC, Putnam Competition, Math Circle.
Problem solving steps and strategies
The College Mathematics Journal February Problems (due Sep 15)
The American Mathematical Monthly April Problems (due Sep 30)
The American Mathematical Monthly May Problems (due Oct 31)
Math Horizons August Problems (due Oct 31) (added on 8/27/22)
Mathematics Magazine June Problems (due Nov 1)
The College Mathematics Journal April Problems (due Nov 15)
The American Mathematical Monthly June Problems (due Dec 31)
1.5
Aug 26 12:00-12:50 PM, Journal Problem Solving Group, meeting in PB 013, open to all
Aug 26 2. Principle of mathematical induction 2.5(d)
Aug 29 2. Principle of mathematical induction 2.16
Aug 31 2. Principle of mathematical induction 2.25
Sep 2 12:00-12:50 PM, Journal Problem Solving Group, meeting in PB 013, open to all
Sep 2 3. Dirichlet's box principle 3.10
  Turn in your solutions to the problems in the September issue of the College Mathematics Journal asap. The deadline for journal submissions is September 15, however, you are strongly encouraged to show your solution(s) to your instructor and get feedback first.
Sep 5 Labor Day - no classes or office hours
Sep 7 3. Dirichlet's box principle 3.24
Sep 7 5:30-7:30 PM, Math Circle, grades 9-12, need to sign up, Report attendance
Sep 9 12:00-12:50 PM, Journal Problem Solving Group, meeting in PB 013, open to all
Sep 9 3. Dirichlet's box principle 3.34 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)
Sep 10 10:00-11:30 AM, Math Circle, grades 3-4, 5-6, 7-8, need to sign up, Report attendance
Sep 12 4. Number theory 4.2(a)
Sep 14 4. Number theory 4.10
Sep 14 5:30-7:30 PM, AMC 10/12 practice, S2 307, Report attendance
Sep 16 12:00-12:50 PM, Journal Problem Solving Group, meeting in PB 013, open to all
Sep 16 4. Number theory 4.36 homework 2:
any 3 problems from: 3.8, 3.16, 3.18, 3.22, 3.26, 3.30
for extra credit: 3.32 or 3.36
  Turn in your solutions to the problems in the April issue of the American Mathematical Monthly asap. The deadline for journal submissions is September 30, however, you are strongly encouraged to show your solution(s) to your instructor and get feedback first.
Sep 19 5. Case analysis 5.3(b)
Sep 21 5. Case analysis 5.14
Sep 21 5:30-7:30 PM, Math Circle, grades 9-12, S2 307, Report attendance
Sep 23 12:00-12:50 PM, Journal Problem Solving Group, meeting in PB 013, open to all
Sep 23 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
Sep 24 10:00-11:30 AM, Math Circle, grades 3-4, 5-6, 7-8, sign up in advance or come to PB 013 by 9:50 AM to receive instructions, Report attendance
Sep 26 6. Finding a pattern 6.19(b,c)
Sep 28 7. Working backwards 7.4
Sep 28 5:30-7:30 PM, AMC 10/12 practice, S2 307, Report attendance
Sep 30 12:00-12:50 PM, Journal Problem Solving Group, meeting in PB 013, open to all
Sep 30 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)
Oct 3 Test 1 (covers chapters 2-5) none
Oct 5 7. Working backwards 7.14
Oct 5 5:30-7:30 PM, Math Circle, grades 9-12, S2 307, Report attendance
Oct 7 12:00-12:50 PM, Journal Problem Solving Group, meeting in PB 013, open to all
Oct 7 7. Working backwards 7.26 homework 5:
any 3 problems from: 6.4, 6.8, 6.10, 6.14, 6.16, 6.20
for extra credit: 6.18
Oct 8 10:00-11:30 AM, Math Circle, grades 3-4, 5-6, 7-8, sign up in advance or come to PB 013 by 9:50 AM to receive instructions, Report attendance
Oct 10 8. Invariants 8.2
Oct 12 8. Invariants 8.14
Oct 12 5:30-7:30 PM, AMC 10/12 practice, S2 307, Report attendance
Oct 14 12:00-12:50 PM, Journal Problem Solving Group, meeting in PB 013, open to all
Oct 14 8. Invariants 8.22 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
  Turn in your solutions to the problems in the May issue of American Mathematical Monthly, problems in the August issue of Math Horizons, and/or problems in the June issue of Mathematics Magazine asap. The deadlines for journal submissions are October 31 for the first two journals and November 1 for the third, however, you are strongly encouraged to show your solution(s) to your instructor and get feedback first.
Oct 17 9. Coloring 9.2
Oct 19 9. Coloring 9.10
Oct 19 5:30-7:30 PM, Math Circle, grades 9-12, S2 307, Report attendance
Oct 21 12:00-12:50 PM, Journal Problem Solving Group, meeting in PB 013, open to all
Oct 21 9. Coloring 9.16 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
Oct 22 10:00-11:30 AM, Math Circle, grades 3-4, 5-6, 7-8, sign up in advance or come to PB 013 by 9:50 AM to receive instructions, Report attendance
Oct 24 10. Graphs 10.2
Oct 26 10. Graphs 10.22
Oct 26 5:30-7:30 PM, HS Problem Solving Competition, one helper needed, contact your instructor
Oct 28 12:00-12:50 PM, Journal Problem Solving Group, meeting in PB 013, open to all
Oct 28 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 8:
any 3 problems from: 9.4, 9.8, 9.12, 9.20, 9.24, 9.26
for extra credit: 9.22
Oct 31 Test 2 (covers chapters 6-9) none
  Turn in your solutions to the problems in April issue of 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 2 10. Graphs 10.42
Nov 2 5:30-7:30 PM, Math Circle, grades 9-12, S2 307, Report attendance
Nov 4 12:00-12:50 PM, Journal Problem Solving Group, meeting in PB 013, open to all
Nov 4 11. Combinatorics 11.4
Nov 5 10:00-11:30 AM, Math Circle, grades 3-4, 5-6, 7-8, sign up in advance or come to PB 013 by 9:50 AM to receive instructions, Report attendance
Nov 7 11. Combinatorics 11.22
Nov 9 11. Combinatorics 11.48 note this homework is due on a Wednesday
homework 9:
any 3 problems from: 10.10, 10.12, 10.18, 10.26, 10.30, 10.40
for extra credit: 10.46 or 10.52
Nov 9 5:30-7:30 PM, AMC 10/12 practice, S2 307, Report attendance
Nov 11 Veteran's Day - no classes, no office hours
Nov 14 12. Calculus 12.8
Nov 16 12. Calculus 12.12
Nov 16 5:30-7:30 PM, AMC 10/12 competition, grades 9-12, one helper needed, contact your instructor
Nov 18 "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 10:
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
Nov 19 10:00-11:30 AM, Math Circle, grades 3-4, 5-6, 7-8, sign up in advance or come to PB 013 by 9:50 AM to receive instructions, Report attendance
Nov 21 12. Calculus 12.22
Nov 23 Thanksgiving recess - no classes or office hours
Nov 25
Nov 28 13. Various problems / journal problems presentations 13.12, 13.16, or 13.20 (your choice)
Nov 30 13. Various problems / journal problems presentations 13.18, 13.24, or 13.26 (your choice) note this homework is due on a Wednesday
homework 11:
any 3 problems from: 12.10, 12.14, 12.16, 12.24, 12.36, 12.38
for extra credit: 12.26 or 12.32
Nov 30 5:30-7:30 PM, Math Circle, grades 9-12, S2 307, Report attendance
Dec 2 12:00-12:50 PM, Journal Problem Solving Group, meeting in PB 013, open to all
Dec 2 Review: Sample Test 3, Fall 2014 test 3
see also tests given in this class in Fall 2005 and Fall 2009
none
Dec 3 10:00-11:30 AM, Math Circle, grades 3-4, 5-6, 7-8, sign up in advance or come to PB 013 by 9:50 AM to receive instructions, Report attendance
Dec 5 Test 3 (covers chapters 10, 11, 13) none
Dec 7 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 9.
The American Mathematical Monthly June Problems
Dec 8 Faculty consultation day. Consultation hours: TBD for all classes
Dec 9 Faculty consultation day. Consultation hours: TBD for all classes,
3:00-3:50 pm for Math 145
Dec 12 3:30 - 5:30 PM: Final exam (cumulative), in our usual classroom


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This page was last revised on 23 September 2022.