Precalculus: Functions and Graphs

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  • Edition: 2nd
  • Format: Hardcover
  • Copyright: 1/1/2005
  • Publisher: Addison Wesley
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With faster pacing and less review, this is the perfect text for those students in precalculus who are going on to calculusclarity without compromise. A hallmark of this text is its focus on problem solving. Students are provided with numerous opportunities to reason and think their way through various problems. The author's goal is to get the students to see that the mathematics in this book is interesting, useful, and worth studying. Emphasis is placed on using graphic, numeric, and analytic points of view in discussing and in solving problems throughout the text.

Table of Contents

Equations, Inequalities, and Modeling
Equations in One Variable
Equations and Graphs in Two Variables
Scatter Diagrams and Curve Fitting
Constructing Models to Solve Problems
Quadratic Equations
Linear and Absolute Value Inequalities
Quadratic and Rational Inequalities
Functions and Graphs
Graphs of Relations and Functions
Families of Functions: Transformations and Symmetry
Operations with Functions
Inverse Functions
Constructing Functions with Variation
Polynomial and Rational Functions
Linear Functions
Quadratic Functions
Complex Numbers
Zeros of Polynomial Functions
The Theory of Equations
Graphs of Polynomial Functions
Graphs of Rational Functions
Exponential and Logarithmic Functions
Exponential Functions and Their Applications
Logarithmic Functions and Their Applications
Properties of Logarithms
More Equations and Applications
The 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
Trigonometric Identities and Conditional Equations
Basic Identities
Verifying Identities
Sum and Difference Identities
Double-Angle and Half-Angle Identities
Product and Sum Identities
Conditional Trigonometric Equations
Applications of Trigonometry
The Law of Sines
The Law of Cosines
Trigonometric Form of Complex Numbers
Powers and Roots of Complex Numbers
Polar Equations
Parametric Equations
Systems of Equations and Inequalities
Systems of Linear Equations in Two Variables
Systems of Linear Equations in Three Variables
Nonlinear Systems of Equations
Partial Fractions
Inequalities and Systems of Inequalities in Two Variables
Linear Programming
Matrices and Determinants
Solving Linear Systems Using Matrices
Operations with Matrices
Multiplication of Matrices
Inverses of Matrices
Solution of Linear Systems in Two Variables Using Determinants
Solution of Linear Systems in Three Variables Using Determinants
The Conic Sections
The Parabola
The Ellipse and the Circle
The Hyperbola
Rotation of Axes
Polar Equations of the Conics
Sequences, Series and Probability
Geometric Sequences and Series
Counting and Permutations
Combinations, Labeling, and the Binomial Theorem
Mathematical Induction
Appendix A
Real Numbers and Their Properties
Exponents and Radicals
Factoring Polynomials
Rational Expressions
Appendix B
Table of Contents provided by Publisher. All Rights Reserved.

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