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Precalculus:
Lecture Notes
Veselin Jungic
Contents
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Contents
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Front Matter
Colophon
Dedication
Acknowledgements
Preface
1
Functions
The Set of Real Numbers
Functions
The Coordinate Plane and Graphs
Function Transformations and Graphs
Composition of Functions
Inverse Functions
2
Polynomials and Rational Functions
Lines and Linear Functions
Quadratic Functions and Conics
Power Functions
Polynomials
Rational Functions
3
Exponential and Logarithmic Functions
Logarithms as Inverses of Exponential Functions
Rules for Logarithms
Exponential Growth
The Number \(e\) and Natural Logarithm
4
More Trigonometric Functions
The Unit Circle and Radians
Cosine and Sine
More Trigonometric Functions
Trigonometry In Right Triangle
Trigonometric Identities
The Law of Sines and the Law of Cosines
5
Review Problems
Practice Problems
Midterms
Final Exam
Back Matter
Bibliography
Authored in PreTeXt
Dedication
Dedication
To my sons, my best teachers.
- Veselin Jungic