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 2  Last day to ADD a class without a permission number  
Sep 16  Last day to DROP a class without a serious and compelling reason and without a grade of W (withdrawal) listed on university transcript  
Sep 19  Last day to ADD a class with a permission number  
Nov 11  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 11:59 PM: submit via Overleaf)  
Aug 22  Syllabus. Overleaf, Homework 1 template.
Textbook (updated 8/25/22) 
none  
Aug 24  1. Introduction. Cocurricular 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  12:0012:50 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  12:0012:50 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  5:307:30 PM, Math Circle, grades 912, need to sign up, Report attendance  
Sep 9  12:0012:50 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  10:0011:30 AM, Math Circle, grades 34, 56, 78, need to sign up, Report attendance  
Sep 12  4. Number theory  4.2(a)  
Sep 14  4. Number theory  4.10  
Sep 14  5:307:30 PM, AMC 10/12 practice, S2 307, Report attendance  
Sep 16  12:0012:50 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  5:307:30 PM, Math Circle, grades 912, S2 307, Report attendance  
Sep 23  12:0012:50 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  10:0011:30 AM, Math Circle, grades 34, 56, 78, 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  5:307:30 PM, AMC 10/12 practice, S2 307, Report attendance  
Sep 30  12:0012:50 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 25)  none  
Oct 5  7. Working backwards  7.14  
Oct 5  5:307:30 PM, Math Circle, grades 912, S2 307, Report attendance  
Oct 7  12:0012:50 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  10:0011:30 AM, Math Circle, grades 34, 56, 78, 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  5:307:30 PM, AMC 10/12 practice, S2 307, Report attendance  
Oct 14  12:0012:50 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  5:307:30 PM, Math Circle, grades 912, S2 307, Report attendance  
Oct 21  12:0012:50 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  10:0011:30 AM, Math Circle, grades 34, 56, 78, 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  5:307:30 PM, HS Problem Solving Competition, one helper needed, contact your instructor  
Oct 28  12:0012:50 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 69)  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  5:307:30 PM, Math Circle, grades 912, S2 307, Report attendance  
Nov 4  12:0012:50 PM, Journal Problem Solving Group, meeting in PB 013, open to all  
Nov 4  11. Combinatorics  11.4  
Nov 5  10:0011:30 AM, Math Circle, grades 34, 56, 78, 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  5:307:30 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  5:307:30 PM, AMC 10/12 competition, grades 912, 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  10:0011:30 AM, Math Circle, grades 34, 56, 78, 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  5:307:30 PM, Math Circle, grades 912, S2 307, Report attendance  
Dec 2  12:0012:50 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  10:0011:30 AM, Math Circle, grades 34, 56, 78, 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,
3:003:50 pm for Math 145 

Dec 12  3:30  5:30 PM: Final exam (cumulative), in our usual classroom 