Overview

Written by the founder of SIMIODE (Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations), this book provides a collection of resources that facilitate a modeling-first approach to teaching differential equations. Each of the forty-three chapters presents a unique, realistic, and classroom-tested modeling scenario, covering diverse topics such as chemical kinetics, stochastic processes, circuit tuning, and stadium design. The modules are standalone, meaning they can easily be introduced into an instructor's differential equations course. Through these activities, students discover how differential equations arise naturally and appreciate their importance. The material is presented in an informal style, taking the form of conversations between two colleagues discussing the underlying modeling scenarios. These colleagues share their methods, pedagogical approaches, and experiences, answering questions which arise about how to teach modeling. These dialogs also provide scaffolding, advice and reflections for faculty considering introducing active-learning opportunities into their classes. Teaching Differential Equations with Modeling-First Scenarios offers a friendly introduction to modeling activities in the undergraduate classroom, with only prior exposure to derivatives being required. For the instructor, a desire to engender an attitude of experimentation, investigation, and excitement in their students is the most important prerequisite. Materials supporting the scenarios will be available on the AMS Bookstore at www.ams.org/bookpages/clrm-78 and on the SIMIODE webpage.

Full Product Details

Author:   Brian J. Winkel
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
ISBN:  

9781470479862

ISBN 10:   1470479869
Pages:   279
Publication Date:   17 March 2026
Audience:   Professional and scholarly ,  College/higher education ,  Professional & Vocational ,  Undergraduate
Format:   Paperback
Publisher's Status:   Active
Availability:   Not yet available  
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Table of Contents

Death and immigration Falling column of water Sublimation of dry ice Slick oil slick modeling Hang time Deep well timing Chord path time Falling coffee filters Intraocular surgery recovery Evaporation Cooling it Building an ant tunnel Chemical kinetics Ramp bounce Frequency response LSD Struggle for existence Mystery circuit Chemical optimization Stochastic processes Tuned mass dampers Machine replacement Guitar tuning College savings Dog drugs Ice melt Disease spread Time of death Water clock Drug administration Cloth dry Rocket flight Stadium design Catapult launch Falling in water Circuit tuner River crossing Dialysis Insect colony survival Pursuit models Acorns, rodents, and snakes Lipoprotein modeling Trig function approximation Postlude-Make that prelude Bibliography Index

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Author Information

Brian J. Winkel, SIMIODE, Chardon, OH.

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