Inside Calculus

The approach taken by this book is based on two beliefs.; The first is that almost nobody understands calculus fully the first time around: multiple exposures are required.; The second belief is that graphing calculators can be used to make the introduction of the theory of limits much easier for the students.; This book presents the theoretical pieces of introductory calculus, using appropriate technology, in a style suitable to accompany almost any first calculus text.; It offers a...
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The approach taken by this book is based on two beliefs.; The first is that almost nobody understands calculus fully the first time around: multiple exposures are required.; The second belief is that graphing calculators can be used to make the introduction of the theory of limits much easier for the students.; This book presents the theoretical pieces of introductory calculus, using appropriate technology, in a style suitable to accompany almost any first calculus text.; It offers a large range of increasingly sophisticated examples and problems to build understanding of the notion of limit and other theoretical concepts.; It is aimed at students who will study fields in which the understanding of calculus as a tool is not sufficient.; The text uses the "spiral approach" of teaching, returning again and again to difficult topics, anticipating such returns across the calculus courses in preparation for the first analysis course.; The book may be used as the "content" text for a transition to upper level mathematics course.