Joan Horvath - Make: Calculus: Build Models to Learn, Visualize, and Explore

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Horvath and Cameron take calculus back to its physical roots its grounding in

concrete things rather than abstractions. Build slopes with LEGO bricks, swing a

pendulum, and 3D print mathematical curves to turn them over in your hand even

experts will have an Aha! moment. George Musser, Contributing Editor, Scientific

American ; Contributing Writer, Quanta ; and author of Spooky Action at a Distance

It was a pleasure to see the authors pilot some of this books material with students at

the program I manage. The activities make complex calculus concepts accessible to an

array of learning styles, and the students enjoy engaging with the 3D printed models to

cement their understanding. Nicole Endacott, Manager of Advanced Programs, Institute

for Educational Advancement

Horvath and Cameron have done a commendable job in explaining calculus in an

easy to understand way. Their explanations using LEGO bricks, which almost everyone

understands, and their suggestions incorporating 3D printing will be very helpful in

teaching. Well done! Douglas King, retired engineer, retired high school engineering

teacher, and robotics coach

Make: Calculus is designed for the geometrical thinker who solves math-related problems better with

pictures or models than with equations. If youre currently taking calculus, or if you ever just wished

you understood it better, this book will show you the modern version of Isaac Newtons calculus.

Youll learn through physical model building, first with LEGO bricks, and then with 3D models. Youll

also have the chance to customize these models with OpenSCAD and print them while building your

understanding of the math that makes them work. Youll even get to apply a bit of Arduino code to

expand your visual understanding of the amazing world unveiled by a knowledge of calculus.

CALCULUS

MATHEMATICS /Calculus

Make_Calculus_COVER_backFIN.indd 1 Make_Calculus_COVER_backFIN.indd 1 8/8/22 11:35 AM 8/8/22 11:35 AM

Calculus

Joan Horvath and Rich Cameron

BUILD MODELS TO LEARN,

VISUALIZE, AND EXPLORE

By Joan Horvath and Rich Cameron

Calculus

Copyright 2022 Joan Horvath and Rich Cameron. All rights reserved.

Published by Make Community, LLC

150 Todd Road, Suite 100, Santa Rosa, CA 95407

Make: books may be purchased for educational, business, or sales promotional use.

Online editions are also available for most titles.

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Publisher: Dale Dougherty

Editor: Michelle Lowman

Copy Editor: Sophia Smith

Creative Direction: Juliann Brown

Design: Terisa Davis

Tech Reviewer: Dr. Niles Ritter

2022 First Edition

Revision History for the First Edition July 2022

See https://www.oreilly.com/catalog/errata.csp?isbn=9781680457391 for release details.

Make: , Maker Shed, and Maker Faire are registered trademarks of Make Community, LLC. The Make: Community logo is

a trademark of Make Community, LLC. Make: Calculus and related trade dress are trademarks of Make Community, LLC.

Many of the designations used by manufacturers and sellers to distinguish their products are claimed as trademarks.

Where those designations appear in this book, and Make Community, LLC was aware of a trademark claim, the

designations have been printed in caps or initial caps. While the publisher and the authors have made good faith efforts

to ensure that the information and instructions contained in this work are accurate, the publisher and the authors

disclaim all responsibility for errors or omissions, including without limitation responsibility for damages resulting

from the use of or reliance on this work. Use of the information and instructions contained in this work is at your own

risk. If any code samples or other technology this work contains or describes are subject to open source licenses or the

intellectual property rights of others, it is your responsibility to ensure that your use thereof complies with such licenses

and/or rights.

978-1-68045-739-1

ii

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practice of making in schools, libraries, and homes.

To learn more about Make: visit us at make.co .

Make: Calculus iii

Table of Contents

PREFACE

Who This Book Is For .................................................................................................................... XIV

WHAT WE ASSUME YOU KNOW ALREADY ...................................................................... XV

TEACHING AND LEARNING WITH THIS BOOK ............................................................... XVI

Developing a Hands-on Calculus Course .................................................................................... XVI

3D Printable Models ..................................................................................................................... XVI

Chapter Layout ............................................................................................................................ XVII

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