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Saturday, May 8, 2010

Calculus in Context: The Five College Calculus Course

Author(s): James Callahan, Kenneth R. Hoffman, David A. Cox, Donal O'Shea, Harriet Pollatsek, Lester Senechal
Date     : 1995




For courses currently engaged, or leaning toward calculus reform. The authors fully embrace the calculus reform movement in technology and pedagogy, while taking it a step further with a unique organization and applications to real-world problems.

The book aims to:

• Develop calculus in the context of scientific and mathematical questions.
• Treat systems of differential equations as fundamental objects of study.
• Construct and analyze mathematical models.
• Use the method of successive approximations to define and solve problems.
• Develop geometric visualization with hand-drawn and computer graphics.
• Give numerical methods a more central role.
• Encourage collaborative work.
• Empower students to use calculus as a language and a tool.
• Make students comfortable tackling large, messy, ill-defined problems.
• Foster an experimental attitude towards mathematics.
• Help students appreciate the value of approximate solutions.
• Develop the sense that understanding concepts arises out of working
on problems, not simply from reading the text and imitating its techniques.


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