Math 145. Problem solving. Fall 2021.
Tentative class schedule with homework assignments
Important Deadlines  

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 011 and 1314 of the book (updated 11/23/21) 
none  
Aug 25  1. Introduction. Cocurricular 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  10:0011:30 AM, Math Circle, grades 89 (and 67), need to sign up  
Aug 30  2. Principle of mathematical induction  2.16  
Sep 1  2. Principle of mathematical induction  2.25  
Sep 1  5:307:30 PM, Math Circle, grades 912 / AMC 10/12 practice, need to sign up, Report attendance  
Sep 3  3. Dirichlet's box principle  3.10  
Sep 3  12:0012:50 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) 

Sep 10  12:0012:50 PM, Journal Problem Solving Group, open to all, at the usual class link  
Sep 11  10:0011:30 AM, Math Circle, grades 89, need to sign up  
Sep 13  4. Number theory  4.2(a)  
Sep 15  4. Number theory  4.10  
Sep 15  5:307:30 PM, Math Circle, grades 912 / 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 

Sep 17  12:0012:50 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 

Sep 24  12:0012:50 PM, Journal Problem Solving Group, open to all, at the usual class link  
Sep 25  10:0011:30 AM, Math Circle, grades 89, need to sign up  
Sep 27  6. Finding a pattern  6.6  
Sep 29  6. Finding a pattern  6.19(b,c)  
Sep 29  5:307:30 PM, Math Circle, grades 912 / 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) 

Oct 1  12:0012:50 PM, Journal Problem Solving Group, open to all, at the usual class link  
Oct 4  Test 1 (covers chapters 25), in class via Zoom, with camera on  none  
Oct 6  7. Working backwards  7.4  
Oct 6  4:005:00 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 

Oct 8  12:0012:50 PM, Journal Problem Solving Group, open to all, at the usual class link  
Oct 9  10:0011:30 AM, Math Circle, grades 89, need to sign up  
Oct 11  7. Working backwards  7.26  
Oct 13  8. Invariants  8.2  
Oct 13  4:005:00 PM, Problem Solving Playground, open to all, see Canvas for the link, Report attendance  
Oct 13  5:307:30 PM, Math Circle, grades 912 / 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 

Oct 15  12:0012:50 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  4:005:00 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 

Oct 22  12:0012:50 PM, Journal Problem Solving Group, open to all, at the usual class link  
Oct 23  10:0011:30 AM, Math Circle, grades 89, all spots are full  
Oct 25  9. Coloring  9.16  
Oct 27  10. Graphs  10.2  
Oct 27  4:005:00 PM, Problem Solving Playground, open to all, see Canvas for the link, Report attendance  
Oct 27  5:307:30 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 

Oct 29  12:0012:50 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  4:005:00 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 

Nov 5  12:0012:50 PM, Journal Problem Solving Group, open to all, at the usual class link  
Nov 6  10:0011:30 AM, Math Circle, grades 89, all spots are full  
Nov 8  Test 2 (covers chapters 69), 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 

Nov 12  12:0012:50 PM, Journal Problem Solving Group, open to all, at the usual class link  
Nov 12  5:257:35 PM, Adnan H. Sabuwala Problem Solving Competitition  
Nov 15  13. Calculus  13.8  
Nov 17  13. Calculus  13.12  
Oct 17  4:005:00 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 

Nov 20  10:0011:30 AM, Math Circle, grades 89, all spots are full  
Nov 22  13. Calculus  13.22  
Nov 24  Thanksgiving recess  no classes or office hours  
Nov 26  
Nov 29  Various problems / journal problems presentations  14.12, 14.16, or 14.20 (your choice)  
Dec 1  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 

Dec 1  4:005:00 PM, Problem Solving Playground, open to all, see Canvas for the link, Report attendance  
Dec 1  5:307:30 PM, Math Circle, grades 912, all spots are full, Report attendance  
Dec 3  Review: Practice test 3, Solutions, Fall 2014 test 3
see also tests given in this class in Fall 2005 and Fall 2009 
none  
Dec 3  12:0012:50 PM, 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, 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: TBD for all classes at the Tuesday office hours link  
Dec 10  Faculty consultation day. Consultation hours: 11:0011:50 am and 2:002:50 pm for Math 145 specifically at our usual class Zoom link  
Dec 13  11:00 AM  1:00 PM (11:0011:50 AM section): Final exam (cumulative), via Zoom, with video on 

Dec 15  3:30 PM  5:30 PM (2:002:50 PM section): Final exam (cumulative), via Zoom, with video on 