Skip to main content
\( \newcommand{\lt}{<} \newcommand{\gt}{>} \newcommand{\amp}{&} \)
Active Prelude to Calculus
Matthew Boelkins
Contents
Index
Prev
Up
Next
Contents
Prev
Up
Next
Front Matter
Colophon
Acknowledgements
Contributors
Our Goals
Features of the Text
Students! Read this!
Instructors! Read this!
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 Prelude to Calculus
Matthew Boelkins
Department of Mathematics
Grand Valley State University
boelkinm@gvsu.edu
Production Editor
Mitchel T. Keller
Department of Natural and Mathematical Sciences
Morningside College
kellerm@morningside.edu
Hosting and Remix of This Version
Matthew Salomone
Department of Mathematics
Bridgewater State University
msalomone@bridgew.edu
February 15, 2020
Colophon
Acknowledgements
Contributors
Our Goals
Features of the Text
Students! Read this!
Instructors! Read this!
login
