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Calculus Explorations
Supplement Your Calculus Curriculum with a "Many Methods" Approach The activities in this book help students extend their understanding of the important concepts in calculus. Drawn from the Instructors Resource Book for Paul Foersters Calculus: Concepts and Applications textbook, these activities encourage students to learn by exploring on their own. Calculus Explorations supports a "many methods" approach to learning calculus, integrating traditional algebraic methods with numerical, graphical, and verbal methods. Use it as a supplement to class lectures and to your regular calculus text.- Each exploration covers a particular concept or technique in calculus and requires minimal teacher guidance.
- The activities reinforce topics such as Hospitals rule, the mean value theorem, Riemann sums, and the integration of trigonometric functions.
- These activities can be worked with any graphing calculator thats capable of graphing functions, solving equations, and calculating the numerical derivative and definite integral.
- In class, students can work in cooperative groups with a brief follow-up from you, or they can work the problems one at a time as directed-discovery exercises. You can also assign an exploration as homework and follow up during the next class period. An index guides you to additional information about any topic for a given exploration, and solutions are included at the end of the book.
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