Overview
- Authors:
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Christopher T. J. Dodson
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Department of Mathematics, University of Toronto, Toronto, Canada
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Elizabeth A. Gonzalez
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University of Toronto Instructional and Research Computing, Toronto, Canada
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Table of contents (23 chapters)
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Pre-Calculus Mathematics
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- Christopher T. J. Dodson, Elizabeth A. Gonzalez
Pages 3-16
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- Christopher T. J. Dodson, Elizabeth A. Gonzalez
Pages 17-32
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- Christopher T. J. Dodson, Elizabeth A. Gonzalez
Pages 33-42
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- Christopher T. J. Dodson, Elizabeth A. Gonzalez
Pages 43-55
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- Christopher T. J. Dodson, Elizabeth A. Gonzalez
Pages 57-64
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- Christopher T. J. Dodson, Elizabeth A. Gonzalez
Pages 65-70
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- Christopher T. J. Dodson, Elizabeth A. Gonzalez
Pages 71-81
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- Christopher T. J. Dodson, Elizabeth A. Gonzalez
Pages 83-92
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- Christopher T. J. Dodson, Elizabeth A. Gonzalez
Pages 93-116
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- Christopher T. J. Dodson, Elizabeth A. Gonzalez
Pages 117-127
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- Christopher T. J. Dodson, Elizabeth A. Gonzalez
Pages 129-144
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- Christopher T. J. Dodson, Elizabeth A. Gonzalez
Pages 145-165
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- Christopher T. J. Dodson, Elizabeth A. Gonzalez
Pages 167-174
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- Christopher T. J. Dodson, Elizabeth A. Gonzalez
Pages 175-185
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Beginning Calculus
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Front Matter
Pages 187-187
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- Christopher T. J. Dodson, Elizabeth A. Gonzalez
Pages 189-197
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- Christopher T. J. Dodson, Elizabeth A. Gonzalez
Pages 199-220
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- Christopher T. J. Dodson, Elizabeth A. Gonzalez
Pages 221-233
About this book
We believe that to understand and be comfortable with mathematical con cepts and methods, it is necessary to do mathematics and, traditionally, doing meant with a pencil and paper. Now, a modest home computer can provide a platform for a computer algebra package like Maple, which can perform all of the operations encountered in secondary school mathematics and beyond, and pro vide graphical representations of functions, including animations. The capability of rendering accurate graphics for mathematical functions greatly enhances the learning experience, and helps intuition work in new situations, before beginning to do the algebra and calculus needed to solve a problem. For example, if you can see that a function has a clear minimum from its graph, then you are more likely to be able to identify its location precisely by analysis. This book is designed to support the interactive Maple worksheets that we have developed for the two senior secondary school years and made available via the Internet at the anonymous ftp site ftp. ut irc. utoronto . ca (/pub/ednet/maths/maple). This takes you from basic algebra, functions and sequences, to calculus and its applications. Thus, the book is a hardcopy version of the worksheets, with additional explanatory text, cross-referencing, appen dices containing worked solutions to all exercises, and indexing.
Authors and Affiliations
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Department of Mathematics, University of Toronto, Toronto, Canada
Christopher T. J. Dodson
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University of Toronto Instructional and Research Computing, Toronto, Canada
Elizabeth A. Gonzalez