Book: Active Calculus (Boelkins et al.)
- Page ID
- 107784
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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
12: Appendices
Back Matter
Thumbnail: A straight line tangent to a curve. (CC BY-SA 3.0 Unported; AxelBoldt via Wikicommons)