PME Journal Problem Department

Problems from the Fall 2016 Pi Mu Epsilon Journal can be downloaded by clicking here. Links to older problems can be found below.

Have a Pizza Π!

To encourage students to work together on these problems, Pi Mu Epsilon is happy to announce that any schools which send in correct solutions to at least two problems will be entered into a drawing to win a free pizza dinner (up to $100). Faculty may work with students , but each solution must have at least one student. The number of problems solved by your school is how many times your schools’ name will be entered, and then one name will be uniformly drawn for the prize.

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The Problem Department appears in each issue of the Pi Mu Epsilon Journal. The editors welcome problems believed to be new and at a level appropriate for the readers of the Pi Mu Epsilon Journal. Old problems displaying novel and elegant methods of solution are also invited. Proposals should be accompanied by solutions if available and by any information that will assist the editors. An asterisk (*) preceding a problem number indicates that the proposer did not submit a solution.

Problems will be posted on this website in advance of the publication of the Journal. We hope this will spark additional interest in these very good problems. Only the problems will be posted. The solutions and names of solvers will continue to be published only in the Journal.

All correspondence should be addressed to Steven Miller, Department of Mathematics, Williams College, Williamstown, MA 01267 or sent by email to Steven.J.Miller@williams.edu. Electronic submissions using LATEX are encouraged. Other electronic submissions are also encouraged. Please submit each proposal and solution preferably typed or clearly written on a separate sheet (one side only) properly identified with name, affiliation, and address. Solutions identified as by students are given preference.

The following note from Khanh Le, a student at Ohio Wesleyan, to the editor of the Problem Section beautifully illustrates what we hope people will get out of the Journal Problems.

Last spring semester, I joined Pi Mu Epsilon Society and first read the math journal PME. I was particularly interested in the problem section. Solving math problems was a large part of my high school math experience that I have forgotten due to the difference emphasis in math education in high school and college. However, working and solving problem from the section reminded me of how much I enjoyed doing those little puzzles. I also enjoyed the correspondence with you in which you pointed out how I may have misread the problem, and I kept pushing myself to think more to understand and solve the problem.

And I just thought it would be more enjoyable if I could do it with my friends. Therefore I decided to start the problem solving club at my school. I was really surprised of how supportive the professors at my school are with the club. The club had participation from both students and professors. For over the course of last semester, we have worked on 30 problems from different sources (online, Putnam problems and other competition, and even some basic chess endgames). Most of the problems were collected and proposed by club members. We were not able to solve all of them, but it was definitely a wonderful experience. The section has re-kindled a forgotten interest and inspired me in a wonderful way.  Again, I would like to say thank you for all the work you put into the problem section of PME as the editor. Hope that the section will keep inspiring students further and further more.

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Problems from the Fall 2016 Pi Mu Epsilon Journal can be downloaded by clicking here.

Problems from the Spring 2016 Pi Mu Epsilon Journal can be downloaded by clicking here.

Problems from the Fall 2015 Pi Mu Epsilon Journal can be downloaded by clicking here.

For the Centennial of PME Problem Department Editor Steven Miller assembled 100 problems, one related to each year. They were published in groups of 25 in the Fall 2013, Spring 2014, Fall 2104, and Spring 2015 issues. Each each set of 25 problems spans the century by counting mod 4 though the years.

The Centennial Problems from the Spring 2015 Pi Mu Epsilon Journal can be downloaded by clicking here.

Problems from the Spring 2015 Pi Mu Epsilon Journal can be downloaded by clicking here.

The Centennial Problems from the Fall 2014 Pi Mu Epsilon Journal can be downloaded by clicking here..

Problems from the Fall 2014 Pi Mu Epsilon Journal can be downloaded by clicking here.

The Centennial Problems from the Spring 2014 Pi Mu Epsilon Journal can be downloaded by clicking here.

Problems from the Spring 2014 Pi Mu Epsilon Journal can be downloaded by clicking here.

The Centennial Problems from the Fall 2013 Pi Mu Epsilon Journal can be downloaded by clicking here.

Problems from the Fall 2013 Pi Mu Epsilon Journal can be downloaded by clicking here.

Problems from the Spring 2013 Pi Mu Epsilon Journal can be downloaded by clicking here.

Problems from the Fall 2012 Pi Mu Epsilon Journal can be downloaded by clicking here.

Problems from the Spring 2012 Pi Mu Epsilon Journal can be downloaded by clicking here.

Problems from the Fall 2011 Pi Mu Epsilon Journal can be downloaded by clicking here.

Problems from the Spring 2011 Pi Mu Epsilon Journal can be downloaded by clicking here.

Problems from the Fall 2010 Pi Mu Epsilon Journal can be downloaded by clicking here.

Problems from the Spring 2010 Pi Mu Epsilon Journal can be downloaded by clicking here.

Problems from the Fall 2009 Pi Mu Epsilon Journal can be downloaded by clicking here.

Problems from the Spring 2009 Pi Mu Epsilon Journal can be downloaded by clicking here.

Problems from the Fall 2008 Pi Mu Epsilon Journal can be downloaded by clicking here.

Problems from the Spring 2008 Pi Mu Epsilon Journal can be downloaded by clicking here.

Problems from the Fall 2007 Pi Mu Epsilon Journal can be downloaded by clicking here.

Problems from the Spring 2007 Pi Mu Epsilon Journal can be downloaded by clicking here.

Problems from the Fall 2006 Spring 2006 Pi Mu Epsilon Journal can be downloaded by clicking here.

Problems from the Spring 2006 Fall 2006 Pi Mu Epsilon Journal can be downloaded by clicking here.

Problems from the Fall 2005 Pi Mu Epsilon Journal can be downloaded by clicking here.