This book presents the traditional content of Precalculus in a manner that answers the age-old question of "When will I ever use this?" Highlighting truly relevant applications, this book presents the material in an easy to teach from/easy to learn from approach.KEY TOPICS Chapter topics include equations, inequalities, and mathematical models; functions and graphs; polynomial and rational functions; exponential and logarithmic functions; trigonometric functions; analytic trigonometry; systems of equations and inequalities; conic sections and analytic geometry; and sequences, induction, and probability. For individuals studying Precalculus.

(NOTE: *Each chapter concludes with Summary, Review Exercises, and Chapter Test and/or Cumulative Review Exercises.*)

** P. Prerequisites: Fundamental Concepts of Algebra. **

Real Numbers and Algebraic Expressions. Exponents and Scientific Notation. Radicals and Rational Exponents. Polynomials. Factoring Polynomials. Rational Expressions.

** 1. Equations, Inequalities, and Mathematical Models. ** Graphs and Graphing Utilities. Linear Equations. Formulas and Applications. Quadratic Equations. Other Types of Equations. Linear Inequalities. Quadratic and Rational Inequalities.

** 2. Functions and Graphs. ** Lines and Slope. Distances and Midpoint Formulas: Circles. Basics of Functions. Graphs of Functions. Transformations of Functions. Combinations of Functions: Composite Functions. Inverse Functions.

** 3. Polynomial and Rational Functions. ** Quadratic Functions. Polynomial Functions and Their Graphs. Dividing Polynomials: Remainder and Factor Theorems. Zeros of Polynomial Functions. More on Zeros of Polynomial Functions. Rational Functions and Their Graphs. Modeling Using Variation.

** 4. Exponential and Logarithmic Functions. ** Exponential Functions. Logarithmic Functions. Properties of Logarithms. Exponential and Logarithmic Equations. Modeling with Exponential and Logarithmic Functions.

** 5. Trigonometric Functions. ** Angles and Their Measure. Right Triangle Trigonometry. Trigonometric Functions of Any Angle. Trigonometric Functions of Real Numbers; Periodic Functions. Graphs of Sine and Cosine Functions. Graphs of Other Trigonometric Functions. Inverse Trigonometric Functions. Applications of Trigonometric Functions.

** 6. Analytic Trigonometry. ** Verifying Trigonometric Identities. Sum and Difference Formulas. Double-Angle and Half-Angle Formulas. Product-to-Sum and Sum-to-Product Formulas. Trigonometric Equations.

** 7. Additional Topics in Trigonometry. ** The Law of Sines. The Law of Cosines. Polar Coordinates. Graphs of Polar Equations. Complex Numbers in Polar Form; DeMoivre's Theorem. Vectors. The Dot Product.

** 8. Systems of Equations and Inequalities. ** Systems of Linear Equations in Two Variables. Systems of Linear Equations in Three Variables. Partial Fractions. Systems of Nonlinear Equations in Two Variables. Systems of Inequalities. Linear Programming.

** 9. Matrices and Determinants. ** Matrix Solutions to Linear Systems. Inconsistent and Dependent Systems and Their Applications. Matrix Operations and Their Applications. Multiplicative Inverses of Matrices and Matrix Equations. Determinants and Cramer's Rule.

** 10. Conic Sections and Analytic Geometry. ** The Ellipse. The Hyperbola. The Parabola. Rotation of Axes. Parametric Equations. Conic Sections in Polar Coordinates.

** 11. Sequences, Induction, and Probability. ** Sequences and Summation Notation. Arithmetic Sequences. Geometric Sequences. Mathematical Induction. The Binomial Theorem. Counting Principles, Permutations, and Combinations. Probability.

** Appendix: Where Did That Come From? Selected Proofs. **** Answers to Selected Exercises. **** Subject Index. **