MATH PROBLEM SOLVING WEB PAGE

Web page for the Northwestern University Math Problem Solving Group.

Goals

  1. Acquire basic math problem solving skills.
  2. Help in training future candidates for the yearly Putnam Competition.

Activities

  1. Solve math problems proposed in magazines like Math Horizons, College Mathematics Journal and the Mathematics Magazine. Ideally we should solve at least one problem from each issue.
  2. Discuss solutions to problems and study mathematical subjects related to problem solving.

Unless otherwise stated, the level of the problems and results shown here should be undergraduate.

Last Modified: October 26, 2021

Index


Announcements

(There are no announcements at this moment.)


MathPSG Emailing List

Subscribe to the Math Problem Solving Group emailing list by sending an email to listserv@listserv.it.northwestern.edu with the following line in its body:
subscribe MathPSG Your Name
where Your Name means that you must write your name there.

Alternatively, please click in one of the following links, depending on whether you want to

Clicking on one of those links will fire up the mail program associated to your browser with the appropriate command for the listserver already typed in. Note however that if your choice is to subscribe MathPSG, you must add your name at the end of the line "subscribe MathPSG", otherwise the listserver will reply with an error message saying that the name is missing.

Note: Problems from magazines discussed and solved in the MathPSG emailing list may be submitted to the magazines in the name of the Northwestern University Math Problem Solving Group.

The MathPSG emailing list is moderated. Postings sent to the list will not be automatically forwarded to its members, they must await approval by the moderator.


How the group works

The Math PSG works on problems proposed by various math magazines (see below), and submits solutions to the magazines. The process works like this:
  1. Pick a problem not yet solved by the group, and for which the deadline for submission has not arrived yet.
  2. If you solve the problem, you can post your solution sending it by email to
    MathPSG@listserv.it.northwestern.edu
    or mailing it directly to the group coordinator. If you want to give a chance the other members of the group to think the problem too, instead of a complete solution you may post only some hints first.
  3. Some discussion of the solution may follow. After the solution is considered correct, and if nobody has anything to add, the coordinator will write a final version and submit it to the magazine in behalf of the group. If there is some discussion, or more that one solution posted, the coordinator will try to compose a "combined solution" with the different contributions.
Problems solved by the group and submitted to a magazine appear below in the column "submitted solutions".


Proposed Problems

Find below a list of magazines that contain problems of interest. Ideally we should try to solve at least one problem from each issue and submit it to the magazine before the deadline.

The problems can be found in the magazines (available by subscription), or in electronic access sites such as JSTOR.

Note: If you are member of the university you can get links to the proposed problems as follows:


source deadline submitted solutions (*)
- 2020 -
Mathematics Magazine, Vol. 92, No.4, Oct 2019 March 1, 2020 2078
College Mathematics Journal, Vol. 50, No. 4, Sep 2019 March 15, 2020 1157, 1159
Mathematics Magazine, Vol. 92, No.5, Dec 2019 May 1, 2020 2082
College Mathematics Journal, Vol. 50, No. 5, Nov 2019 May 15, 2020 1161
Mathematics Magazine, Vol. 93, No.1, Feb 2020 July 1, 2020 2086
College Mathematics Journal, Vol. 51, No. 1, Jan 2020 July 15, 2020 1167
College Mathematics Journal, Vol. 51, No. 2, Mar 2020 July 15, 2020 1175
Mathematics Magazine, Vol. 93, No.2, Apr 2020 September 1, 2020 2094
Mathematics Magazine, Vol. 93, No.3, May 2020 November 1, 2020 2098
College Mathematics Journal, Vol. 51, No. 3, May 2020 November 15, 2020 1176
- 2021 -
Mathematics Magazine, Vol. 93, No.4, Oct 2020 March 1, 2021 2103
College Mathematics Journal, Vol. 51, No. 4, Sep 2020 March 15, 2021 1183
Mathematics Magazine, Vol. 93, No.5, Dec 2020 May 1, 2021 2106, 2107
College Mathematics Journal, Vol. 51, No. 5, Dec 2020 May 15, 2021 1186
Mathematics Magazine, Vol. 94, No.1, Feb 2021 July 1, 2021 2111
College Mathematics Journal, Vol. 52, No. 1, Jan 2021 July 15, 2021 1192, 1194
Mathematics Magazine, Vol. 94, No.2, Apr 2021 September 1, 2021 2118
College Mathematics Journal, Vol. 52, No. 2, Mar 2021 September 15, 2021 1200
Mathematics Magazine, Vol. 94, No.3, Apr 2021 November 1, 2021 2123
College Mathematics Journal, Vol. 52, No. 3, May 2021 November 15, 2021 1203
College Mathematics Journal, Vol. 52, No. 3, May 2021 (corrections)
- 2022 -
Mathematics Magazine, Vol. 94, No.4, Oct 2021 March 1, 2022 2128
College Mathematics Journal, Vol. 52, No. 4, Sep 2021 March 15, 2022

(*) Color red means that the solution submitted by us was selected for publication.


Problems from AMM

Problems from magazines like the American Mathematical Monthly are traditionally (but not always) harder than the ones proposed in the magazines mentioned above. I am including them here just in case someone wants to try them.

source deadline submitted solutions
- 2020 -
American Mathematical Monthly, Vol. 126, No. 08, Oct 2019 February 29, 2020
American Mathematical Monthly, Vol. 126, No. 09, Nov 2019 March 31, 2020
American Mathematical Monthly, Vol. 126, No. 10, Dec 2019 April 30, 2020
American Mathematical Monthly, Vol. 127, No. 1, Jan 2020 May 31, 2020
American Mathematical Monthly, Vol. 127, No. 2, Feb 2020 June 30, 2020
American Mathematical Monthly, Vol. 127, No. 3, Mar 2020 July 31, 2020
American Mathematical Monthly, Vol. 127, No. 4, Apr 2020 August 31, 2020 12178
American Mathematical Monthly, Vol. 127, No. 5, May 2020 September 30, 2020
American Mathematical Monthly, Vol. 127, No. 6, Jun-Jul 2020 October 31, 2020
American Mathematical Monthly, Vol. 127, No. 7, Aug-Sep 2020 December 31, 2020
- 2021 -
American Mathematical Monthly, Vol. 127, No. 8, Oct 2020 February 28, 2021
American Mathematical Monthly, Vol. 127, No. 9, Nov 2020 March 31, 2021
American Mathematical Monthly, Vol. 127, No. 10, Dec 2020 April 30, 2021
American Mathematical Monthly, Vol. 128, No. 1, Jan 2021 May 31, 2021
American Mathematical Monthly, Vol. 128, No. 2, Feb 2021 June 30, 2021
American Mathematical Monthly, Vol. 128, No. 3, Mar 2021 July 31, 2021
American Mathematical Monthly, Vol. 128, No. 4, Apr 2021 August 31, 2021
American Mathematical Monthly, Vol. 128, No. 5, May 2021 September 30, 2021
American Mathematical Monthly, Vol. 128, No. 6, Jun-Jul 2021 October 31, 2021
American Mathematical Monthly, Vol. 128, No. 7, Aug-Sep 2021 December 31, 2021
- 2022 -
American Mathematical Monthly, Vol. 128, No. 8, Oct 2021 February 28, 2022

(*) Color red means that the solution submitted by us was selected for publication.


Lists of problems

Collections and archives with math problems (and some solutions).

Local links

External links


Mathematical Results

These are common mathematical results that can be used in the resolution of math problems.


Solved problems

This is a collection of solutions to some problems.


Other Links


Bibliography


Comments, suggestions...? email Miguel A. Lerma at: mlerma at math dot northwestern dot edu

WWW Address: "https://www.math.northwestern.edu/~mlerma/problem_solving/"