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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
Chapter
2
Circular Functions
ΒΆ
2.1
Traversing Circles
2.2
The Unit Circle
2.3
The Sine and Cosine Functions
2.4
Sinusoidal Functions
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