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Title: Interdisciplinary Lively Application Projects (Ilaps) (Classroom Resource Materials) by David C. Arney ISBN: 0-88385-706-5 Publisher: Mathematical Assn of America Pub. Date: 01 April, 1997 Format: Paperback Volumes: 1 List Price(USD): $24.95

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Average Customer Rating: 5 (1 review)

Rating: 5
Summary: Realistic exercises to spark the interest of undergraduates
Comment: These projects, designed to provide high quality resources in applied mathematics, definitely exceed your expectations. Well thought out, well organized and within the target range of undergraduate capabilities, they will spark an interest that will lead to a desire among the students to learn and use more mathematics. In so many cases, authors report positive results from their educational experiments, that while they may be true, often appear strained. In this case, the high quality of the projects makes the report of strong positive consequences of using them thoroughly believable.
There are seven projects listed in the book.

1) Getting fit with mathematics, a mathematical treatment of the effectiveness of energy consumption in physical exertion.

2) Decked out, the examination of the how to optimize the building of a deck to maximize the number of picnic tables that can be placed on it.

3) Parachute panic, an analysis of the forces present in skydiving, including those that can cause injury to brain, spinal cord and legs.

4) Flying with differential equations, an answer to the question posed by all those who have ever had a window seat in an airplane. Why does the wing move so much?

5) Planning a backpacking trip to Pikes Peak, an investigation of how to partition the act of hiking up the mountain so that there is no overexertion.

6) Structural mechanics - beams and bridges, an explanation of how the stress placed on a bridge is redistributed to the weight bearing pillars.

7) Contaminant transport, where the flow of pollutants through groundwater is explained using diffusion equations.

Each project starts with a list of all critical parameters, including the mathematical classifications, prerequisite skills, physical concepts that are explained and all materials available in the project. These applications are well-documented, allowing you to determine what is done with one quick examination.
There is a strong movement to broaden the use of applications in undergraduate mathematics. In this book you will find some of the best developed and executed projects of mathematics with clear and entertaining applications.

Published in Journal of Recreational Mathematics, reprinted with permission.