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Precalculus Enhanced with Graphing Utilities -- ACCUMULATOR

2020 | 8th edition
Pearson (Hersteller)
978-0-13-581378-2 (ISBN)
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Michael Sullivan, Emeritus Professor of Mathematics at Chicago State University, received a Ph.D. in mathematics from the Illinois Institute of Technology. Mike taught at Chicago State for 35 years before recently retiring. He is a native of Chicago’s South Side and divides his time between Oak Lawn, Illinois, and Naples, Florida.   Mike is a member of the American Mathematical Society and the Mathematical Association of America. He is a past president of the Text and Academic Authors Association and is currently Treasurer of its Foundation. He is a member of the TAA Council of Fellows, and was awarded the TAA Mike Keedy award in 1997 and the Lifetime Achievement Award in 2007. In addition, he represents TAA on the Authors Coalition of America. He has been writing textbooks for more than 35 years and currently has 15 books in print, 12 with Pearson Education. When not writing, he enjoys tennis, golf, gardening, and travel.   Mike has four children: Kathleen teaches college mathematics; Michael III teaches college mathematics and is his co-author on two precalculus series; Dan works in publishing; and Colleen teaches middle school and secondary school mathematics. Twelve grandchildren round out the family.   Mike Sullivan III is a professor of mathematics at Joliet Junior College. He holds graduate degrees from DePaul University in both mathematics and economics. Mike is an author or co-author on more than 20 books, including a statistics book and a developmental mathematics series. Mike is the father of three children and an avid golfer, who tries to spend as much of his limited free time as possible on the golf course.

Table of Contents

Graphs

1.1 Graphing Utilities; Introduction to Graphing Equations
1.2 The Distance and Midpoint Formulas
1.3 Intercepts; Symmetry; Graphing Key Equations
1.4 Solving Equations Using a Graphing Utility
1.5 Lines
1.6 Circles



Chapter Review
Chapter Test
Chapter Project


Functions and Their Graphs

2.1 Functions
2.2 The Graph of a Function
2.3 Properties of Functions
2.4 Library of Functions; Piecewise-defined Functions
2.5 Graphing Techniques: Transformations
2.6 Mathematical Models: Building Functions



Chapter Review
Chapter Test
Cumulative Review
Chapter Projects


Linear and Quadratic Functions

3.1 Properties of Linear Functions and Linear Models
3.2 Building Linear Models from Data
3.3 Quadratic Functions and Their Properties
3.4 Build Quadratic Models from Verbal Descriptions and From Data
3.5 Inequalities Involving Quadratic Functions



Chapter Review
Chapter Test
Cumulative Review
Chapter Projects


Polynomial and Rational Functions

4.1 Polynomial Functions and Models
4.2 The Graph of a Polynomial Function and Models
4.3 The Real Zeros of a Polynomial Function
4.4 Complex Zeros; Fundamental Theorem of Algebra
4.5 Properties of Rational Functions
4.6 The Graph of a Rational Function
4.7 Polynomial and Rational Inequalities



Chapter Review
Chapter Test
Cumulative Review
Chapter Projects


Exponential and Logarithmic Functions

5.1 Composite Functions
5.2 One-to-One Functions; Inverse Functions
5.3 Exponential Functions
5.4 Logarithmic Functions
5.5 Properties of Logarithms
5.6 Logarithmic and Exponential Equations
5.7 Financial Models
5.8 Exponential Growth and Decay Models; Newton’s Law; Logistic Growth and Decay Models
5.9 Building Exponential, Logarithmic, and Logistic Models from Data



Chapter Review
Chapter Test
Cumulative Review
Chapter Projects


Trigonometric Functions

6.1 Angles and Their Measure
6.2 Trigonometric Functions: A Unit Circle Approach
6.3 Properties of the Trigonometric Functions
6.4 Graphs of the Sine and Cosine Functions
6.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
6.6 Phase Shift; Sinusoidal Curve Fitting



Chapter Review
Chapter Test
Cumulative Review
Chapter Projects


Analytic Trigonometry

7.1 The Inverse Sine, Cosine, and Tangent Functions
7.2 The Inverse Trigonometric Functions (Continued)
7.3 Trigonometric Equations
7.4 Trigonometric Identities
7.5 Sum and Difference Formulas
7.6 Double-angle and Half-angle Formulas
7.7 Product-to-Sum and Sum-to-Product Formulas



Chapter Review
Chapter Test
Cumulative Review
Chapter Projects


Applications of Trigonometric Functions

8.1 Right Triangle Trigonometry; Applications
8.2 The Law of Sines
8.3 The Law of Cosines
8.4 Area of a Triangle
8.5 Simple Harmonic Motion; Damped Motion; Combining Waves



Chapter Review
Chapter Test
Cumulative Review
Chapter Projects


Polar Coordinates; Vectors

9.1 Polar Coordinates
9.2 Polar Equations and Graphs
9.3 The Complex Plane; DeMoivre’s Theorem
9.4 Vectors
9.5 The Dot Product
9.6 Vectors in Space
9.7 The Cross Product



Chapter Review
Chapter Test
Cumulative Review
Chapter Projects


Analytic Geometry

10.1 Conics
10.2 The Parabola
10.3 The Ellipse
10.4 The Hyperbola
10.5 Rotation of Axes; General Form of a Conic
10.6 Polar Equations of Conics
10.7 Plane Curves and Parametric Equations



Chapter Review
Chapter Test
Cumulative Review
Chapter Projects


Systems of Equations and Inequalities

11.1 Systems of Linear Equations: Substitution and Elimination
11.2 Systems of Linear Equations: Matrices
11.3 Systems of Linear Equations: Determinants
11.4 Matrix Algebra
11.5 Partial Fraction Decomposition
11.6 Systems of Nonlinear Equations
11.7 Systems of Inequalities
11.8 Linear Programming



Chapter Review
Chapter Test
Cumulative Review
Chapter Projects


Sequences; Induction; The Binomial Theorem

12.1 Sequences
12.2 Arithmetic Sequences
12.3 Geometric Sequences; Geometric Series
12.4 Mathematical Induction
12.5 The Binomial Theorem



Chapter Review
Chapter Test
Cumulative Review
Chapter Projects


Counting and Probability

13.1 Counting
13.2 Permutations and Combinations
13.3 Probability



Chapter Review
Chapter Test
Cumulative Review
Chapter Projects


A Preview of Calculus: The Limit, Derivative, and Integral of a Fraction

14.1 Finding Limits Using Tables and Graphs
14.2 Algebra Techniques for Finding Limits
14.3 One-sided Limits; Continuous Functions
14.4 The Tangent Problem; The Derivative
14.5 The Area Problem; The Integral



Chapter Review
Chapter Test
Cumulative Review
Chapter Projects



Appendix A: Review

A.1 Algebra Essentials
A.2 Geometry Essentials
A.3 Polynomials
A.4 Synthetic Division
A.5 Rational Expressoins
A.6 Solving Equations
A.7 Complex Numbers; Quadratic Equations in the Complex Number System
A.8 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Job Applications
A.9 Interval Notation; Solving Inequalities
A.10 nth Roots; Rational Exponents

Appendix B: The Limit of a Sequence; Infinite Series Answers Credits Subject Index

Erscheint lt. Verlag 1.1.2020
Sprache englisch
Themenwelt Mathematik / Informatik Mathematik
ISBN-10 0-13-581378-6 / 0135813786
ISBN-13 978-0-13-581378-2 / 9780135813782
Zustand Neuware
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