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Calculus: An Integrated Approach (International series in pure and applied mathematics)

by Donald B. Small

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This supplementary text for the standard calculus course provides students with an overview of Computer Algebra Systems, explores specific topics in calculus using Computer Algebra Systems from a generic standpoint, and provides a guide to such specific systems as MATHEMATICA, MAPLE, AND DERIVE. Most traditional calculus courses have focused on computations or the student's ability to carry out algorithms. Small-Hosack changes that focus to emphasize concepts, understanding, applications and ramifications. Since Computer Algebra Systems can handle the routine computations that were so time consuming in the past, students are now free to analyze and experiment. So computation becomes the means rather than the end in itself. In so doing this text changes the goals and expetations of a calculus course to maximize the opportunites afforded by modern technology.… (more)
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This supplementary text for the standard calculus course provides students with an overview of Computer Algebra Systems, explores specific topics in calculus using Computer Algebra Systems from a generic standpoint, and provides a guide to such specific systems as MATHEMATICA, MAPLE, AND DERIVE. Most traditional calculus courses have focused on computations or the student's ability to carry out algorithms. Small-Hosack changes that focus to emphasize concepts, understanding, applications and ramifications. Since Computer Algebra Systems can handle the routine computations that were so time consuming in the past, students are now free to analyze and experiment. So computation becomes the means rather than the end in itself. In so doing this text changes the goals and expetations of a calculus course to maximize the opportunites afforded by modern technology.

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