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This is the number one, best selling graphing-required version of Mike Sullivan's precalculus series. It is used by thousands of students and hundreds of instructors because, simply, "IT WORKS." "IT WORKS for both instructors and students because Mike Sullivan, after twenty-five years of teaching, knows exactly what students need to do to succeed in a math class and he therefore emphasizes and organizes his text around the fundamentals; preparing, practicing, and reviewing. Students who prepare (read the book, practice their skills learned in previous math classes), practice (work the math focusing on the fundamental and important mathematical concepts), and review (study key concepts and review for quizzes and tests) succeed in class. Instructors appreciate this emphasis as it supports their teaching goals to help their students succeed as well as appreciate the fact that this dependable text retains its best features- - accuracy, precision, depth, strong student support, and abundant exercises, while substantially updating content and pedagogy. After completing the book, students will be prepared to handle the algebra found in subsequent courses such as finite mathematics, business mathematics, and engineering calculus.
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
Chapter Review
Chapter Test
Chapter Project
Cumulative Review
Chapter 8. Polar Coordinates; Vectors
8.1 Polar Coordinates
8.2 Polar Equations and Graphs
Chapter Review
Chapter Test
Chapter Project
Cumulative Review
Chapter 9. Analytic Geometry
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
10.7 Systems of Inequalities
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
Chapter Test
Chapter Project
Cumulative Review
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
This is the number one, best selling graphing-required version of Mike Sullivan's precalculus series. It is used by thousands of students and hundreds of instructors because, simply, "IT WORKS." "IT WORKS for both instructors and students because Mike Sullivan, after twenty-five years of teaching, knows exactly what students need to do to succeed in a math class and he therefore emphasizes and organizes his text around the fundamentals; preparing, practicing, and reviewing. Students who prepare (read the book, practice their skills learned in previous math classes), practice (work the math focusing on the fundamental and important mathematical concepts), and review (study key concepts and review for quizzes and tests) succeed in class. Instructors appreciate this emphasis as it supports their teaching goals to help their students succeed as well as appreciate the fact that this dependable text retains its best features- - accuracy, precision, depth, strong student support, and abundant exercises, while substantially updating content and pedagogy. After completing the book, students will be prepared to handle the algebra found in subsequent courses such as finite mathematics, business mathematics, and engineering calculus.
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
Chapter Review
Chapter Test
Chapter Project
Cumulative Review
Chapter 8. Polar Coordinates; Vectors
8.1 Polar Coordinates
8.2 Polar Equations and Graphs
Chapter Review
Chapter Test
Chapter Project
Cumulative Review
Chapter 9. Analytic Geometry
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
10.7 Systems of Inequalities
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
Chapter Test
Chapter Project
Cumulative Review
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