Experiments In Mathematics Using Maple

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This book is designed for use in school computer labs or with home computers, running the computer algebra system Maple, or its student version. It supports the interactive Maple worksheets that we have developed and which are available free of charge from various sites. For example consult the anonymous ftp site ftp.utirc.utoronto.ca (/pub/ednet/maths/maple), or the University of Toronto Instructional and Research Computing World Wide Web home page (hhtp://www.utirc.utoronto.ca/home.html), over the Internet. The topics proceed through the full mathematics syllabus for the two senior years, from basic algebra, functions and sequences, to calculus and its additional explanatory text, answers to exercises, cross-referencing, bibliography and index.

Author(s): Christopher T. J. Dodson, Elizabeth A. Gonzalez (auth.)
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 1995

Language: English
Pages: 465
Tags: Computational Mathematics and Numerical Analysis

Front Matter....Pages i-xxi
Front Matter....Pages 1-1
Introduction to Maple....Pages 3-16
Functions....Pages 17-32
Quadratic Functions....Pages 33-42
Solving Quadratic Equations....Pages 43-55
Polynomial Functions....Pages 57-64
Exponential Functions....Pages 65-70
Logarithmic Functions....Pages 71-81
Circular Functions....Pages 83-92
Trigonometry....Pages 93-116
Similar Figures....Pages 117-127
Circles and Spheres....Pages 129-144
Loci....Pages 145-165
Sequences and Series....Pages 167-174
Statistics and Probability....Pages 175-185
Front Matter....Pages 187-187
Secants and Tangents....Pages 189-197
Sequences and Limits....Pages 199-220
Derivatives of Functions....Pages 221-233
Functions and Graphs....Pages 235-244
Rates....Pages 245-254
Integration....Pages 255-274
Front Matter....Pages 187-187
Trigonometry....Pages 275-284
Exponents and Logarithms....Pages 285-291
Polar Coordinates....Pages 293-303
Back Matter....Pages 305-465