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1. Understanding the Derivative 2. Computing Derivatives 3. Using Derivatives 4. The Definite Integral 5. Finding Antiderivatives and Evaluating Integrals 6. Using Definite Integrals 7. Differential Equations 8. Sequences and Series
"Active Calculus" by Matt Boelkins and David Austin is a free, open-access textbook designed to teach calculus through "active learning". Instead of just presenting rules and examples, the book encourages students to explore concepts through questions, group work, and discovery-based activities. It's written for single-variable calculus courses and is ideal for classrooms that value participation and engagement. Each section includes preview questions, in-class tasks, and problem sets that guide students in building a deeper understanding of "calculus concepts". The book covers core topics like limits, derivatives, integrals, and series—using real-world examples and minimal lecture-style exposition. This makes it especially useful for flipped classrooms or independent learners looking for a more hands-on approach. Available online for free in PDF and HTML formats, "Active Calculus" promotes equity in "math education" by being openly licensed and easily accessible. With its student-centered design, it supports both teachers aiming to increase interaction and learners seeking to actively engage with the material.
Title: Active Calculus 2.0 by Matthew Boelkins, David Austin Publisher: CreateSpace Year: 2018 Pages: 525 Type: PDF Language: English ISBN-10 #: 1724458329 ISBN-13 #: 978-1724458322 License: CC BY-SA 2.0 Amazon: Amazon
The author Matt Boelkins is a professor of mathematics at Grand Valley State University and the author of the widely used open-access textbook "Active Calculus". He is known for his commitment to "innovative teaching" and creating engaging, student-centered learning materials. Boelkins is a strong advocate for "open educational resources" and has helped make calculus more accessible through "active learning" strategies.
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