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A Friendly Mathematics Competition: 35 Years of Teamwork in Indiana (Maa Problem Books Series)
 
 
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A Friendly Mathematics Competition: 35 Years of Teamwork in Indiana (Maa Problem Books Series) [Paperback]

Rick Gillman (Editor)
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Book Description

January 2, 2003 Maa Problem Books Series
"A Friendly Mathematics Competition" tells the story of the Indiana College Mathematics Competition (ICMC) by presenting the problems, solutions, and results of the first 35 years of the ICMC. The ICMC was organized in reaction to the Putnam Exam - its problems were to be more representative of the undergraduate curriculum, and students could work on them in teams.

Originally participation was originally restricted to the small, private colleges and universities of the state, but was later opened up to students from all of the schools in Indiana. The competition was quickly nicknamed the "Friendly" Competition because of its focus on solving mathematical problems, which brought faculty and students together, rather than on the competitive nature of winning. Organized by year, the problems and solutions in this volume present an excellent archive of information about what has been expected of an undergraduate mathematics major over the past 35 years. With more than 245 problems and solutions, the book is also a must buy for faculty and students interested in problem-solving.

The index of problems lists problems in: Algebraic Structures; Analytic Geometry, Arclength, Binomial Coefficients, Derangements, Differentiation, Differential Equations, Diophantine Equations, Enumeration, Field and Ring Theory, Fibonacci Sequences, Finite Sums, Fundamental Theorem of Calculus Geometry, Group Theory, Inequalities, Infinite Series, Integration, Limit Evaluation, Logic, Matrix Algebra, Maxima and Minima Problems, Multivariable Calculus, Number Theory, Permutations, Probability, Polar Coordinates, Polynomials, Real Valued Functions Riemann Sums, Sequences, Systems of Equations, Statistics, Synthetic Geometry, Taylor Series, Trigonometry, and Volumes.


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About the Author

Rixk Fillman received his PhD from Idaho State University. He has taught mathematics at Valparaiso for the past seventeen years. A combinatorialist by training, he has published papers on a variety of topics, but his real interest is in helping undergraduates become mathematicians. He mentors student research teams almost every year, resulting in some publications and many students going on to be successful in pure and applied mathematics.

Product Details

  • Paperback: 196 pages
  • Publisher: Mathematical Assn of Amer (January 2, 2003)
  • Language: English
  • ISBN-10: 0883858088
  • ISBN-13: 978-0883858080
  • Product Dimensions: 8.9 x 6 x 0.5 inches
  • Shipping Weight: 9.6 ounces (View shipping rates and policies)
  • Average Customer Review: 4.0 out of 5 stars  See all reviews (1 customer review)
  • Amazon Best Sellers Rank: #2,179,604 in Books (See Top 100 in Books)

 

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4.0 out of 5 stars Problems outside the generic sameness of textbooks, July 7, 2003
This review is from: A Friendly Mathematics Competition: 35 Years of Teamwork in Indiana (Maa Problem Books Series) (Paperback)
Since 1966, colleges and universities in the state of Indiana have held a mathematics competition between teams of undergraduate math students. Known formally as the Indiana College Mathematics Competition (ICMC), it is best known locally as the "Friendly" competition. This is due to the emphasis on the social aspects of the event, where faculty and students get together and there is a de-emphasis on the competitive aspects.
It was originally organized as an alternative to the Putnam exam, where the emphasis in the friendly competition was to be on problems at the undergraduate level. This book is a complete listing of all the problems appearing on the exams from 1966 through 2000 and complete solutions to all of the problems are included.
The exams have between 5 and 10 problems, and they cover all aspects of the undergraduate curriculum common to all programs. With the emphasis on being within the reach of the undergraduate student, there is a lot of material that can be used by teachers of mathematics at that level. If you are looking for the right problem to challenge your students or one to present to the class that is outside the general sameness of textbook problems, then this is the place to look. An index of problems grouped by type is included, making the search for specific types of problems very easy.
A discerning brain will also note the change in emphasis as the years progress. While a correct mathematical proof is eternal, how we do those proofs and what proofs we do change over time. Therefore, there is also a bit of a history lesson within the pages.
Any teacher is only as good as the material that they are presenting and you can get some of the best possible material from this book.

Published in the recreational mathematics e-mail newsletter, reprinted with permission.

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Inside This Book (learn more)
First Sentence:
On April 27, 1965, Peter Edson, a trustee of Wabash College, sent our dean a memorandum that included a newspaper clipping about a unique mathematics competition that was held among high schools in New Jersey. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
mathematics competition, third place team, second place team, consecutive positive integers, odd coefficients, blue arcs
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Number Theory, Wabash College, Purdue University, Limit Evaluation, Matrix Algebra, Butler University, Indiana University, Earlham College, Group Theory, Valparaiso University, Ball State University, Differential Equations, Diophantine Equations, Finite Sums, Franklin College, Min Problems, Multivariate Calculus, Nick Tallyn, Fibonnacci Sequences, Greenwich Meridian, Jonathan Atkins, Marian College, Matt Lepinski, Robert Dirks, Solutions Look
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