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Active Preparation for Calculus
Matthew Boelkins
Contents
Index
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Annotations
Contents
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Front Matter
Colophon
Acknowledgements
Our Goals
Features of the Text
1
Relating Changing Quantities
Changing in Tandem
Functions: Modeling Relationships
The Average Rate of Change of a Function
Linear Functions
Quadratic Functions
Composite Functions
Inverse Functions
Transformations of Functions
Combining Functions
2
Circular Functions
Traversing Circles
The Unit Circle
The Sine and Cosine Functions
Sinusoidal Functions
3
Exponential and Logarithmic Functions
Exponential Growth and Decay
Modeling with exponential functions
The special number \(e\)
What a logarithm is
Properties and applications of logarithmic functions
Modeling temperature and population
4
Trigonometry
Right triangles
The Tangent Function
Inverses of trigonometric functions
Finding Angles
Other Trigonometric Functions and Identities
5
Polynomial and Rational Functions
Infinity, limits, and power functions
Polynomials
Modeling with polynomial functions
Rational Functions
Key features of rational functions
Back Matter
Index
Colophon
Authored in PreTeXt
Active Preparation for Calculus
Matthew Boelkins
Department of Mathematics
Grand Valley State University
boelkinm@gvsu.edu
Production Editor
Mitchel T. Keller
Department of Mathematics
Morningside College
mitch@rellek.net
December 21, 2018
Colophon
Acknowledgements
Our Goals
Features of the Text
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