Precalculus Enhanced With Graphing Utilities
3rd Edition
Published on 17. June 2002
Book
Hardback
1232 pages
978-0-13-065915-6 (ISBN)
Description
For undergraduate courses in College Algebra, Algebra and Trigonometry, Trigonometry and Precalculus.
The Sullivan Enhanced with Graphing Utilities series fully integrates the graphing calculator. This widely adopted text is known for its precise careful presentation of mathematics. This precision permeates the text and is particularly evident in the examples, pedagogy and exercises.
The Sullivan Enhanced with Graphing Utilities series fully integrates the graphing calculator. This widely adopted text is known for its precise careful presentation of mathematics. This precision permeates the text and is particularly evident in the examples, pedagogy and exercises.
More details
Edition
3rd edition
Language
English
Place of publication
United States
Publishing group
Pearson Education (US)
Target group
Professional and scholarly
Dimensions
Height: 262 mm
Width: 211 mm
Thickness: 42 mm
Weight
2330 gr
ISBN-13
978-0-13-065915-6 (9780130659156)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
New editions
Book
08/2005
4th Edition
Pearson
€97.79
Article is exhausted; no reprint
Michael Sullivan | Michael Sullivan,III
Precalculus Enhanced with Graphing Utilities
Book
05/2005
4th Edition
Pearson
€94.08
Article exhausted; check for reprint
Previous edition
Book
02/2000
2nd Edition
Pearson
€64.36
Article exhausted; check for reprint
Content
(NOTE: Each chapter concludes with Chapter Review.)
1. Graphs.
Rectangular Coordinates; Graphing Utilities. Introduction to Graphing Equations. Symmetry; Graphing Key Equations; Circles. Solving Equations Using a Graphing Utility. Solving Inequalities. Lines. Chapter Projects. Cumulative Review.
2. Functions and Their Graphs.
Functions. Linear Functions and Models. Properties of Functions. Library of Functions; Piecewise-Defined Functions. Graphing Techniques: Transformations. Operations on Functions; Composite Functions. Mathematical Models: Constructing Functions. Chapter Projects. Cumulative Review.
3. Polynomial and Rational Functions.
Quadratic Functions and Models. Power Functions and Models. Polynomial Functions and Models. Rational Functions I. Rational Functions II: Analyzing Graphs. Polynomial and Rational Inequalities. The Real Zeros of a Polynomial Function. Complex Zeros; Fundamental Theorem of Algebra. Chapter Projects. Cumulative Review.
4. Exponential and Logarithmic Functions.
One-to-One Functions; Inverse Functions. Exponential Functions. Logarithmic Functions. Properties of Logarithms. Logarithmic and Exponential Equations. Compound Interest. Growth and Decay. Exponential, Logarithmic, and Logistic Curve Fitting. Chapter Projects. Cumulative Review.
5. 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, Secant, and Cosecant Functions. Phase Shifts; Sinusoidal Curve Fitting. Chapter Projects. Cumulative Review.
6. 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 II. Trigonometric Equations II Chapter Review. Chapter Projects. Cumulative Review.
7. Applications of Trigonometric Functions.
Right Triangle Trigonometry. Law of Sines. Law of Cosines. Area of a Triangle. Simple Harmonic Motion; Damped Motion; Combining Waves. Chapter Projects. Cumulative Review.
8. 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 Projects. Cumulative Review.
9. 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 Projects. Cumulative Review.
10. Systems of Equations and Inequalities.
Systems of Linear Equations: Two Equations Containing Two Variables. Systems of Linear Equations: Three Equations Containing Three Variables. 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 Projects. Cumulative Review.
11. Sequences, Induction, the Binomial Theorem.
Sequences. Arithmetic Sequences. Geometric Sequences; Geometric Series. Mathematical Induction. The Binomial Theorem. Chapter Projects. Cumulative Review.
12. Counting and Probability.
Sets and Counting. Permutations and Combinations. Probability of Equally Likely Outcomes. Obtaining Probabilities from Data. Chapter Projects. Cumulative Review.
13. 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 Projects. Cumulative Review.
Appendix Review.
Algebra Review. Geometry Review. Polynomials. Rational Expressions. Polynomial Division; Synthetic Division. Equations. Complex Numbers; Quadratic Equations with a Negative Discriminant. Setting up Equations; Applications. nth Roots; Rational Exponents.
Answers.
Index.
1. Graphs.
Rectangular Coordinates; Graphing Utilities. Introduction to Graphing Equations. Symmetry; Graphing Key Equations; Circles. Solving Equations Using a Graphing Utility. Solving Inequalities. Lines. Chapter Projects. Cumulative Review.
2. Functions and Their Graphs.
Functions. Linear Functions and Models. Properties of Functions. Library of Functions; Piecewise-Defined Functions. Graphing Techniques: Transformations. Operations on Functions; Composite Functions. Mathematical Models: Constructing Functions. Chapter Projects. Cumulative Review.
3. Polynomial and Rational Functions.
Quadratic Functions and Models. Power Functions and Models. Polynomial Functions and Models. Rational Functions I. Rational Functions II: Analyzing Graphs. Polynomial and Rational Inequalities. The Real Zeros of a Polynomial Function. Complex Zeros; Fundamental Theorem of Algebra. Chapter Projects. Cumulative Review.
4. Exponential and Logarithmic Functions.
One-to-One Functions; Inverse Functions. Exponential Functions. Logarithmic Functions. Properties of Logarithms. Logarithmic and Exponential Equations. Compound Interest. Growth and Decay. Exponential, Logarithmic, and Logistic Curve Fitting. Chapter Projects. Cumulative Review.
5. 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, Secant, and Cosecant Functions. Phase Shifts; Sinusoidal Curve Fitting. Chapter Projects. Cumulative Review.
6. 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 II. Trigonometric Equations II Chapter Review. Chapter Projects. Cumulative Review.
7. Applications of Trigonometric Functions.
Right Triangle Trigonometry. Law of Sines. Law of Cosines. Area of a Triangle. Simple Harmonic Motion; Damped Motion; Combining Waves. Chapter Projects. Cumulative Review.
8. 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 Projects. Cumulative Review.
9. 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 Projects. Cumulative Review.
10. Systems of Equations and Inequalities.
Systems of Linear Equations: Two Equations Containing Two Variables. Systems of Linear Equations: Three Equations Containing Three Variables. 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 Projects. Cumulative Review.
11. Sequences, Induction, the Binomial Theorem.
Sequences. Arithmetic Sequences. Geometric Sequences; Geometric Series. Mathematical Induction. The Binomial Theorem. Chapter Projects. Cumulative Review.
12. Counting and Probability.
Sets and Counting. Permutations and Combinations. Probability of Equally Likely Outcomes. Obtaining Probabilities from Data. Chapter Projects. Cumulative Review.
13. 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 Projects. Cumulative Review.
Appendix Review.
Algebra Review. Geometry Review. Polynomials. Rational Expressions. Polynomial Division; Synthetic Division. Equations. Complex Numbers; Quadratic Equations with a Negative Discriminant. Setting up Equations; Applications. nth Roots; Rational Exponents.
Answers.
Index.