Precalculus

ISBN-10: 0130954020
ISBN-13: 9780130954022
Edition: 5th 1999 (Student Manual, Study Guide, etc.)
Authors: Michael Sullivan
List price: $100.00
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Description: For undergraduate courses in College Algebra, Algebra and Trigonometry, Trigonometry, and Precalculus. A proven motivator for students of diverse mathematical backgrounds, this text explores mathematics within the context of real-life, using  More...

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Book details

List price: $100.00
Edition: 5th
Copyright year: 1999
Publisher: Prentice Hall PTR
Publication date: 10/21/1998
Binding: Hardcover
Pages: 1073
Size: 8.25" wide x 10.50" long x 1.50" tall
Weight: 4.642
Language: English

For undergraduate courses in College Algebra, Algebra and Trigonometry, Trigonometry, and Precalculus. A proven motivator for students of diverse mathematical backgrounds, this text explores mathematics within the context of real-life, using understandable, realistic applications consistent with the abilities of any student. Graphing techniques are emphasized, including a thorough discussion of polynomial, rational, exponential, and logarithmic functions and conics. The use of a graphing calculator is optional.

Preface to the Instructor
List of Applications
Photo Credits
To the Student
Graphs
The Distance and Midpoint Formulas
Graphs of Equations in Two Variables; Intercepts; Symmetry
Lines
Circles
Chapter Review
Chapter Test
Chapter Projects
Functions and Their Graphs
Functions
The Graph of a Function
Properties of Functions
Library of Functions; Piecewise-defined Functions
Graphing Techniques: Transformations
Mathematical Models: Building Functions
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
Linear and Quadratic Functions
Linear Functions and Their Properties
Building Linear Functions from Data
Quadratic Functions and Their Properties
Quadratic Models; Building Quadratic Functions from Data
Inequalities Involving Quadratic Functions
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
Polynomial and Rational Functions
Polynomial Functions and Models
Properties of Rational Functions
The Graph of a Rational Function
Polynomial and Rational Inequalities
The Real Zeros of a Polynomial Function
Complex Zeros; Fundamental Theorem of Algebra
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
Exponential and Logarithmic Functions
Composite Functions
One-to-One Functions; Inverse Functions
Exponential Functions
Logarithmic Functions
Properties of Logarithms
Logarithmic and Exponential Equations
Compound Interest
Exponential Growth and Decay Models; Newton's Law; Logistic Growth and Decay Models
Building Exponential, Logarithmic, and Logistic Models from Data
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
Trigonometric Functions
Angles and Their Measure
Trigonometric Functions: Unit Circle Approach
Properties of the Trigonometric Functions
Graphs of the Sine and Cosine Functions
Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
Phase Shift; Sinusoidal Curve Fitting
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
Analytic Trigonometry
The Inverse Sine, Cosine, and Tangent Functions
The Inverse Trigonometric Functions (Continued)
Trigonometric Identities
Sum and Difference Formulas
Double-angle and Half-angle Formulas
Product-to-Sum and Sum-to-Product Formulas
Trigonometric Equations (I)
Trigonometric Equations (II)
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
Applications of Trigonometric Functions
Applications Involving Right Triangles
The Law of Sines
The Law of Cosines
Area of a Triangle
Simple Harmonic Motion; Damped Motion; Combining Waves
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
Polar Coordinates; Vectors
Polar Coordinates
Polar Equations and Graphs
The Complex Plane; DeMoivre's Theorem
Vectors
The Dot Product
Vectors in Space
The Cross Product
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
Analytic Geometry
Conics
The Parabola
The Ellipse
The Hyperbola
Rotation of Axes; General Form of a Conic
Polar Equations of Conics
Plane Curves and Parametric Equations
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
Systems of Equations and Inequalities
Systems of Linear Equations: Substitution and Elimination
Systems of Linear Equations: Matrices
Systems of Linear Equations: Determinants
Matrix Algebra
Partial Fraction Decomposition
Systems of Nonlinear Equations
Systems of Inequalities
Linear Programming
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
Sequences; Induction; the Binomial Theorem
Sequences
Arithmetic Sequences
Geometric Sequences; Geometric Series
Mathematical Induction
The Binomial Theorem
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
Counting and Probability
Counting
Permutations and Combinations
Probability
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
A Preview of Calculus: The Limit, Derivative, and Integral of a Function
Finding Limits Using Tables and Graphs
Algebra Techniques for Finding Limits
One-sided Limits; Continuous Functions
The Tangent Problem; The Derivative
The Area Problem; The Integral
Chapter Review
Chapter Test
Chapter Projects
Review
Algebra Essentials
Geometry Essentials
Polynomials
Synthetic Division
Rational Expressions
Solving Equations
Complex Numbers; Quadratic Equations in the Complex Number System
Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Job Applications
Interval Notation; Solving Inequalities
nth Roots; Rational Exponents
Graphing Utilities
The Viewing Rectangle
Using a Graphing Utility to Graph Equations
Using a Graphing Utility to Locate Intercepts and Check for Symmetry
Using a Graphing Utility to Solve Equations
Square Screens
Using a Graphing Utility to Graph Inequalities
Using a Graphing Utility to Solve Systems of Linear Equations
Using a Graphing Utility to Graph a Polar Equation
Using a Graphing Utility to Graph Parametric Equations
Answers
Index

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