ISBN-10:
0321675029
ISBN-13:
9780321675026
Pub. Date:
08/02/2009
Publisher:
Addison Wesley
Precalculus: Graphs & Models and Graphing Calculator Manual Package / Edition 4

Precalculus: Graphs & Models and Graphing Calculator Manual Package / Edition 4

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Product Details

ISBN-13: 9780321675026
Publisher: Addison Wesley
Publication date: 08/02/2009
Edition description: New Edition
Pages: 1152
Product dimensions: 8.50(w) x 10.20(h) x 1.90(d)

Table of Contents

Chapter R  Basic Concepts of Algebra

R.1  The Real-Number System

R.2  Integer Exponents, Scientific Notation, and Order of Operations

R.3  Addition, Subtraction, and Multiplication of Polynomials

R.4  Factoring

R.5  The Basics of Equation Solving

R.6  Rational Expressions

R.7  Radical Notation and Rational Exponents

 

Chapter 1  Graphs, Functions, and Inequalities

1.1  Introduction to Graphing

1.2  Functions and Graphs

1.3  Linear Functions, Slope, and Applications

1.4  Equations of Lines and Modeling

1.5 Linear Equations, Functions, Zeros, and Models

1.6  Solving Linear Inequalities

 

Chapter 2  More on Functions

2.1 Increasing, Decreasing, and Piecewise Functions; Applications

2.2  The Algebra of Functions

2.3  The Composition of Functions

2.4  Symmetry and Transformations

2.5  Variation and Applications

 

Chapter 3  Quadratic Functions and Equations; Inequalities

3.1 The Complex Numbers

3.2  Quadratic Equations, Functions, Zeros, and Models

3.3  Analyzing Graphs of Quadratic Functions

3.4  Solving Rational and Radical Equations

3.5  Solving Absolute Value Equations and Inequalities

 

Chapter 4  Polynomial And Rational Functions

4.1  Polynomial Functions and Modeling

4.2  Graphing Polynomial Functions

4.3  Polynomial Division; The Remainder and Factor Theorems

4.4  Theorems about Zeros of Polynomial Functions

4.5  Rational Functions

4.6  Polynomial and Rational Inequalities


Chapter 5  Exponential and Logarithmic Functions

5.1  Inverse Functions

5.2  Exponential Functions and Graphs

5.3  Logarithmic Functions and Graphs

5.4  Properties of Logarithmic Functions

5.5  Solving Exponential and Logarithmic Equations

5.6  Applications and Models:  Growth and Decay; Compound Interest

 

Chapter 6  The Trigonometric Functions

6.1  Trigonometric Functions of Acute Angles

6.2  Applications of Right Triangles

6.3  Trigonometric Functions of Any Angle

6.4  Radians, Arc Length, and Angular Speed

6.5  Circular Functions:  Graphs and Properties

6.6  Graphs of Transformed Sine and Cosine Functions

 

Chapter 7  Trigonometric Identities, Inverse Functions, and Equations

7.1  Identities:  Pythagorean and Sum and Difference

7.2  Identities:  Cofunction, Double-Angle, and Half-Angle

7.3  Proving Trigonometric Identities

7.4  Inverses of the Trigonometric Functions

7.5  Solving Trigonometric Equations

 

Chapter 8  Applications of Trigonometry

8.1  The Law of Sines

8.2  The Law of Cosines

8.3  Complex Numbers:  Trigonometric Form

8.4  Polar Coordinates and Graphs

8.5  Vectors and Applications

8.6  Vector Operations

 

Chapter 9  Systems of Equations and Matrices

9.1  Systems of Equations in Two Variables

9.2  Systems of Equations in Three Variables

9.3  Matrices and Systems of Equations

9.4  Matrix Operations

9.5  Inverses of Matrices

9.6  Determinants and Cramer's Rule

9.7  Systems of Inequalities and Linear Programming

9.8  Partial Fractions

 

Chapter 10  Analytic Geometry Topics                                             

10.1  The Parabola

10.2  The Circle and the Eclipse

10.3  The Hyperbola

10.4  Nonlinear Systems of Equations and Inequalities

10.5  Rotation of Axes

10.6  Polar Equations of Conics

10.7  Parametric Equations

 

Chapter 11  Sequences, Series, and Combinatorics

11.1  Sequences and Series

11.2  Arithmetic Sequences and Series

11.3  Geometric Sequences and Series

11.4  Mathematical Induction

11.5  Combinatorics:  Permutations

11.6  Combinatorics:  Combinations

11.7  The Binomial Theorem

11.8  Probability

 

Appendix

Basic Concepts from Geometry

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