Book: Active Calculus (Boelkins et al.)
- Page ID
- 4291
Active Calculus is different from most existing calculus texts in at least the following ways: the text is free for download by students and instructors; in the electronic format, graphics are in full color and there are live html links to java applets; the text is open source, and interested instructors can gain access to the original source files upon request; 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; the exercises are few in number and challenging in nature.
- Front Matter
- 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
- 9: Multivariable and Vector Functions
- 10: Derivatives of Multivariable Functions
- 11: Multiple Integrals
- Back Matter
Thumbnail: A straight line tangent to a curve. (CC BY-SA 3.0 Unported; AxelBoldt via Wikicommons)