Fundamentals of Precalculus / Edition 2 available in Hardcover
Fundamentals of Precalculus is designed to review the fundamental topics that are necessary for success in calculus. Containing only five chapters, this text contains the rigor essential for building a strong foundation of mathematical skills and concepts, and at the same time supports students’ mathematical needs with a number of tools newly developed for this revision. A student who is well acquainted with the material in this text will have the necessary skills, understanding, and insights required to succeed in calculus.
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Table of Contents1. Graphs and Functions.
Real Numbers and Their Properties.
Linear and Absolute Value Inequalities.
Equations and Graphs in Two Variables.
Linear Equations in Two Variables.
Graphs of Relations and Functions.
Families of Functions, Transformations, and Symmetry.
Operations with Functions.
2. Polynomial and Rational Functions.
Quadratic Functions and Inequalities.
Zeros of Polynomial Functions.
The Theory of Equations.
Graphs of Polynomial Functions.
Rational Functions and Inequalities.
3. Trigonometric Functions.
Angles and Their Measurements.
The Sine and Cosine Functions.
The Graphs of the Sine and Cosine Functions.
The Other Trigonometric Functions and Their Graphs.
The Inverse Trigonometric Functions.
Right Triangle Trigonometry.
Conditional Trigonometric Equations.
The Law of Sines and the Law of Cosines.
4. Exponential and Logarithmic Functions.
Exponential Functions and Their Applications.
Logarithmic Functions and Their Applications.
Rules of Logarithms.
More Equations and Applications.
5. Conic Sections, Polar Coordinates, and Parametric Equations.
The Ellipse and the Circle.
Polar Equations of the Conics.
Appendix A Basic Algebra Review.
Exponents and Radicals.