# Active Calculus 2.0

Matt Boelkins, Grand Valley State University

David Austin, Grand Valley State University

Steve Schlicker, Grand Valley State University

Pub Date: 2017

ISBN 13: 978-1-9742068-4-1

Publisher: Grand Valley State University

## Conditions of Use

Attribution-NonCommercial-ShareAlike

CC BY-NC-SA

## Reviews

This textbook is intended for a two semester Single Variable Calculus sequence. I was mostly pleased with the textbook, although it lacks sections … read more

The text was fairly comprehensive. The first portion of the book, which is dedicated to differential calculus, was very thorough. However, the … read more

The book covers all major topics of differential and integral calculus. However, the emphasis is on "big-picture" understanding of the topics and … read more

PLEASE BEGIN BY READING THE "OTHER COMMENTS" SECTION AT THE BOTTOM FIRST. It seems to cover all of what we need for the first two quarters of … read more

This book is thorough and up-to-date in all areas of a single-variable differential and integral calculus course. I have been using it in my courses … read more

I thought that the book was thorough in the subjects that were listed, including limits, derivatives, integrals, differential equations, and … read more

## Table of Contents

Chapter 1: Understanding the Derivative

Chapter 2: Computing Derivatives

Chapter 3: Using Derivatives

Chapter 4: The Definite Integral

Chapter 5: Finding Antiderivatives and Evaluating Integrals

Chapter 6: Using Definite Integrals

Chapter 7: Differential Equations

Chapter 8: Sequences and Series

## About the Book

*Active Calculus* is different from most existing calculus texts in at least the following ways: the text is freely readable online in HTML format and is also available for in PDF; in the electronic format, graphics are in full color and there are live links to java applets; version 2.0 now contains WeBWorK exercises in each chapter, which are fully interactive in the HTML format and included in print in the PDF; the text is open source, and interested users can gain access to the original source files on GitHub; the style of the text requires students to be active learners — there are very few worked examples in the text, with there instead being 3-4 activities per section that engage students in connecting ideas, solving problems, and developing understanding of key calculus concepts; each section begins with motivating questions, a brief introduction, and a preview activity, all of which are designed to be read and completed prior to class; following the WeBWorK exercises in each section, there are several challenging problems that require students to connect key ideas and write to communicate their understanding.

## About the Contributors

### Author(s)

**Matt Boelkins,** Professor, Department of Mathematics, Grand Valley State University. PhD in College Teaching of Mathematics, Syracuse University.

**David Austin, **Professor, Department of Mathematics, Grand Valley State University.

**Steve Schlicker,** Professor, Department of Mathematics, Grand Valley State University. PhD, Northwestern University, specializing in Algebraic K-Theory and the Cohomology of Groups.