College Mathematics Journal


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EDITORIAL POLICY The College Mathematics Journal serves all who are inter- ested in college mathematics. CMJ seeks lively, well-moti- vated articles that will enrich undergraduate instruction and enhance classroom learning, as well as expository papers that stimulate the thinking and broaden the per- spectives of those who teach undergraduate-level math- ematics. Articles involving all aspects of mathematics are welcome, including history, philosophy, problem solving, pedagogy, applications, computation, and so on. Emphasis is placed on topics taught in the first two years of college. Contributions from teachers in high schools, two-year col- leges, four-year colleges, and universities are welcome. In addition to articles, CMJ publishes short pieces contain- ing material suitable for immediate classroom use, prob- lems, solutions to published problems, student research projects, media reviews, and all sorts of mathematical ephemera: proofs without words, arresting examples of fallacious proofs, mistakes and/or other mathemati- cal anomalies, quotations, poetry, humor, cartoons, and doodles. SUBMITTING AN ARTICLE For more information about writing for CMJ, please visit the web site at and follow the links to Information for Authors and Electronic Production Infor- mation. Submissions of articles and Classroom Capsules are required via the CMJ's Editorial Manager System. The author's name(s) should not appear in the file. Initial submissions in pdf or L A T E X form can be made at www. The Editorial Manager System will cue the author for all required information concerning the paper. Questions concerning submission of papers can be addressed to the editor at cmj@maa. org. Authors are strongly encouraged to use L A T E X and the CMJ style file, available on the website and EM system, without any additional packages or custom formatting. Contributions to Problems and Solutions, and Media High- lights should be submitted to the appropriate section edi- tor at the address listed inside the journal. Letters to the Editor on any topic are invited. Comments, criticisms, and suggestions for making CMJ more lively, entertaining, and informative are welcome and should be forwarded to the editor at The COLLEGE MATHEMATICS JOURNAL (ISSN 0746-8342) is published by the Mathematical Association of America at 1529 Eighteenth Street, NW, Washington DC 20036 and Lancaster PA, monthly in January, March, May, September, and November. Change of address, missing issue inquiries, and other sub- scription correspondence can be sent to: or The MAA Customer Service Center P.O. Box 91112 Washington DC 20090-1112 (800) 331-1622 (301) 617-7800 Microfilmed issues may be obtained from University Mi- crofilms International, Serials Bid Coordinator, 300 North Zeeb Road, Ann Arbor MI 48106. Advertising correspondence should be addressed to MAA Advertising 1529 Eighteenth St. NW Washington DC 20036 Phone: (202) 319-8461 E-mail: Further advertising information can be found online at Permission to make copies of individual articles, in paper or electronic form, including posting on personal and class web pages, for educational and scientific use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear the following copyright notice: Copyright 2017 Mathematical Association of America. All rights reserved. Abstracting with credit is permitted. To copy otherwise, or to republish, requires specific permission of the MAA's Director of Publications and possibly a fee. Periodicals postage paid at Washington DC, and additional mailing offices. Postmaster: Send address changes to Membership/Sub- scription Department, Mathematical Association of Ameri- ca, 1529 Eighteenth Street, NW, Washington DC 20036-1385. Printed in the United States of America ABOUT THE COVER With two articles on tiling squares, Factor Pairs of 48 by Roger Nelsen continues the theme, wordlessly showing that 2 · 24, 3 · 16, 4 · 12, and 6 · 8 all equal 48 by arranging 24 dominos to tile a 7 3 7 grid whose middle square is missing, then 16 L-trominos, etc. And 48 is also the 2017 volume number of The College Mathematics Journal!

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