Precalculus Enhanced with Graphing Utilities, 4th Edition
ISBN-10: 0-13-149092-3
ISBN-13: 978-0-13-149092-5
Published by Prentice Hall
© 2006
Pub. Date: Mar 24, 2005
Format: Cloth
Enhance your learning experience with text-specific study materials.
Additional Course Materials
Table of Contents
Chapter 1 Graphs
1.1 Rectangular Coordinates; Graphing Utilities
1.2 Graphs of Equations
1.3 Solving Equations Using a Graphing Utility
1.4 Lines
1.5 Circles
Chapter Review
Chapter Test
Chapter Project
Chapter 2 Functions and Their Graphs
2.1 Functions
2.2 The Graph of a Function
2.3 Properties of Functions
2.4 Linear Functions and Models
2.5 Library of Functions; Piecewise-Defined Functions
2.6 Graphing Techniques: Transformations
2.7 Mathematical Models: Constructing Functions
Chapter Review
Chapter Test
Chapter Project
Cumulative Review
Chapter 3 Polynomial and Rational Functions
3.1 Quadratic Functions and Models
3.2 Polynomial Functions and Models
3.3 Properties of Rational Functions
3.4 The Graph of a Rational Function; Inverse and Joint Variation
3.5 Polynomial and Rational Inequalities
3.6 The Real Zeros of a Polynomial Function
3.7 Complex Zeros: Fundamental Theorem of Algebra
Chapter Review
Chapter Test
Chapter Project
Cumulative Review
Chapter 4 Exponential and Logarithmic Functions
4.1 Composite Functions
4.2 One-to-One Functions; Inverse Functions
4.3 Exponential Functions
4.4 Logarithmic Functions
4.5 Properties of Logarithms
4.6 Logarithmic and Exponential Equations
4.7 Compound Interest
4.8 Exponential Growth and Decay; Newton’s Law; Logistic Growth and Decay
4.9 Building Exponential, Logarithmic, and Logistic Models from Data
Chapter Review
Chapter Test
Chapter Project
Cumulative Review
Chapter 5 Trigonometric Functions
5.1 Angles and Their Measure
5.2 Trigonometric Functions: Unit Circle Approach
5.3 Properties of the Trigonometric Functions
5.4 Graphs of the Sine and Cosine Functions
5.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
5.6 Phase Shift; Sinusoidal Curve Fitting
Chapter Review
Chapter Test
Chapter Project
Cumulative Review
Chapter 6 Analytic Trigonometry
6.1 The Inverse Sine, Cosine, and Tangent Functions
6.2 The Inverse Trigonometric Functions (continued)
6.3 Trigonometric Identities
6.4 Sum and Difference Formulas
6.5 Double-Angle and Half-Angle Formulas
6.6 Product-to-Sum and Sum-to-Product Formulas
6.7 Trigonometric Equations I
6.8 Trigonometric Equations II
Chapter Review
Chapter Test
Chapter Project
Cumulative Review
Chapter 7 Applications of Trigonometric Functions
7.1 Right Triangle Trigonometry; Solving Right Triangles
7.2 Law of Sines
7.3 Law of Cosines
7.4 Area of a Triangle
7.5 Simple Harmonic Motion; Damped Motion; Combining Waves
Chapter Review
Chapter Test
Chapter Project
Cumulative Review
Chapter 8 Polar Coordinates; Vectors
8.1 Polar Coordinates
8.2 Polar Equations and Graphs
8.3 The Complex Plane; DeMoivre’s Theorem
8.4 Vectors
8.5 The Dot Product
8.6 Vectors in Space
8.7 The Cross Product
Chapter Review
Chapter Test
Chapter Project
Cumulative Review
Chapter 9 Analytic Geometry
9.1 Conics
9.2 The Parabola
9.3 The Ellipse
9.4 The Hyperbola
9.5 Rotation of Axes; General Form of a Conic
9.6 Polar Equations of Conics
9.7 Plane Curves and Parametric Equations
Chapter Review
Chapter Test
Chapter Project
Cumulative Review
Chapter 10 Systems of Equations and Inequalities
10.1 Systems of Linear Equations: Substitution and Elimination
10.2 Systems of Linear Equations: Matrices
10.3 Systems of Linear Equations: Determinants
10.4 Matrix Algebra
10.5 Partial Fraction Decomposition
10.6 Systems of Nonlinear Equations
10.7 Systems of Inequalities
10.8 Linear Programming
Chapter Review
Chapter Test
Chapter Project
Cumulative Review
Chapter 11 Sequences; Induction; The Binomial Theorem
11.1 Sequences
11.2 Arithmetic Sequences
11.3 Geometric Sequences; Geometric Series
11.4 Mathematical Induction
11.5 The Binomial Theorem
Chapter Review
Chapter Test
Chapter Project
Cumulative Review
Chapter 12 Counting and Probability
12.1 Sets and Counting
12.2 Permutations and Combinations
12.3 Probability
Chapter Review
Chapter Test
Chapter Project
Cumulative Review
Chapter 13 A Preview of Calculus: The Limit, Derivative, and Integral of a Function[MS1]
13.1 Finding Limits Using Tables and Graphs
13.2 Algebra Techniques for Finding Limits
13.3 One-sided Limits; Continuous Functions
13.4 The Tangent Problem; The Derivative
13.5 The Area Problem; The Integral
Chapter Review
Chapter Test
Chapter Project
Appendix Review
A.1 Algebra Review
A.2 Geometry Review
A.3 Polynomials and Rational Expressions
A.4 Polynomial Division; Synthetic Division
A.5 Solving Equations Algebraically
A.6 Complex Numbers; Quadratic Equations in the Complex Number System
A.7 Problem Solving
A.8 Interval Notation; Solving Inequalities
A.9 nth Roots; Rational Exponents
Answers
Index[MS1]This chapter will only be in the NASTA version of the text.
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