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Calculus in Context by James-Callahan, Kenneth Hoffman
(The Five College Calculus Project)



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Calculus in Context (The Five College Calculus Project) by James-Callahan and Kenneth Hoffman , David Cox, Donal O’Shea, Harriet Pollatsek, Lester Senechal
By studying the text you can see, quite explicitly, how we have pursued the curricular goals. In particular, every one of those goals is addressed within the very first chapter. It begins with questions about describing and analyzing the spread of a contagious disease. A model is built, and the model is a system of coupled non-linear differential equations. We then begin a numerical assault on those equations, and the door is opened to a solution by successive approximations.
Our implementation of the functional goals is less obvious, but it is still evident. For instance, the text has many more words than the traditional calculus book—it is a book to be read. Also, the exercises make unusual demands on students. Most exercises are not just variants of examples that have been worked in the text. In fact, the text has rather few simple “template” examples.

Calculus in Context (The Five College Calculus Project) by James-Callahan, Kenneth Hoffman cover the following topics.

  • 1. A Context for Calculus
    2. Successive Approximations
    3. The Derivative
    4. Differential Equations
    5. Techniques of Differentiation
    6. The Integral
    7. Periodicity
    8. Dynamical Systems
    9. Functions of Several Variables
    10. Series and Approximations
    11. Techniques of Integration
    12. Case Studies

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