College Algebra
Concepts Through Functions
2nd Edition
Published on 25. February 2010
Book
Hardback
792 pages
978-0-321-64107-6 (ISBN)
Description
College Algebra: Concepts through Functions, Second Edition embodies Sullivan/Sullivan's hallmarks-accuracy, precision, depth, strong student support, and abundant exercises-while exposing readers to functions in the first chapter. To ensure that students master basic skills and develop the conceptual understanding they need for the course, this text focuses on the fundamentals: preparing for class, practicing their homework, and reviewing the concepts. After using this book, students will have a solid understanding of algebra and functions so that they are prepared for subsequent courses, such as finite mathematics, business mathematics, and engineering calculus.
More details
Edition
2nd edition
Language
English
Place of publication
United States
Publishing group
Pearson Education (US)
Target group
College/higher education
Dimensions
Height: 225 mm
Width: 278 mm
Thickness: 29 mm
Weight
1802 gr
ISBN-13
978-0-321-64107-6 (9780321641076)
Copyright in bibliographic data is held by Nielsen Book Services Limited or its licensors: all rights reserved.
Schweitzer Classification
Other editions
New editions
Book
02/2014
3rd Edition
Pearson
€216.64
Shipment within 10-20 days
Previous edition
Book
06/2006
Pearson
€67.00
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Person
Mike Sullivan is Professor of Mathematics at Chicago State University, having taught there for more than 30 years. He received his PhD in mathematics from Illinois Institute of Technology. He is a native of Chicago's South Side and currently resides in Oak Lawn, Illinois. Mike has four children; the two oldest have degrees in mathematics and assisted in proofing, checking examples and exercises, and writing solutions manuals for this project. His son, Mike Sullivan, III, co-authored the Sullivan Graphing with Data Analysis series as well as this series. Mike has authored or co-authored more than ten books. He owns a travel agency, and splits his time between a condo in Naples, Florida and a home in Oak Lawn, where Mike enjoys gardening.
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.
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.
Content
Foundations: A Prelude to Functions
F.1 The Distance and Midpoint Formulas
F.2 Graphs of Equations in Two Variables; Intercepts; Symmetry
F.3 Lines
F.4 Circles
1. Functions and Their Graphs
1.1 Functions
1.2 The Graph of a Function
1.3 Properties of Functions
1.4 Library of Functions; Piecewise-defined Functions
1.5 Graphing Techniques: Transformations
1.6 Mathematical Models: Constructing Functions
1.7 Building Mathematical Models Using Variation
Chapter Review
Chapter Test
Chapter Projects
2. Linear and Quadratic Functions
2.1 Properties of Linear Functions and Linear Models
2.2 Building Linear Models from Data
2.3 Quadratic Functions and Their Zeros
2.4 Properties of Quadratic Functions
2.5 Inequalities Involving Quadratic Functions
2.6 Building Quadratic Models from Verbal Descriptions and from Data
2.7 Complex Zeros of a Quadratic Function
2.8 Equations and Inequalities Involving the Absolute Value Function
Chapter Review
Chapter Test
Chapter Projects
Cumulative Review
3. Polynomial and Rational Functions
3.1 Polynomial Functions and Models
3.2 Properties of Rational Functions
3.3 The Graph of a Rational Function
3.4 Polynomial and Rational Inequalities
3.5 The Real Zeros of a Polynomial Function
3.6 Complex Zeros; Fundamental Theorem of Algebra
Chapter Review
Chapter Test
Chapter Projects
Cumulative Review
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 Functions from Data
Chapter Review
Chapter Test
Chapter Projects
Cumulative Review
5.Conics
5.1 Conics
5.2 The Parabola
5.3 The Ellipse
5.4 The Hyperbola
Chapter Review
Chapter Test
Chapter Projects
Cumulative Review
6.SystemsofEquationsandInequalities
6.1 Systems of Linear Equations: Substitution and Elimination
6.2 Systems of Linear Equations: Matrices
6.3 Systems of Linear Equations: Determinants
6.4 Matrix Algebra
6.5 Partial Fraction Decomposition
6.6 Systems of Nonlinear Equations
6.7 Systems of Inequalities
6.8 Linear Programming
Chapter Review
Chapter Test
Chapter Projects
Cumulative Review
7.Sequences;Induction;theBinomialTheorem
7.1 Sequences
7.2 Arithmetic Sequences
7.3 Geometric Sequences; Geometric Series
7.4 Mathematical Induction
7.5 The Binomial Theorem
Chapter Review
Chapter Test
Chapter Projects
Cumulative Review
8.CountingandProbability
8.1 Counting
8.2 Permutations and Combinations
8.3 Probability
Chapter Review
Chapter Test
Chapter Projects
Cumulative Review
Appendix A. Review
A.1 Algebra Essentials
A.2 Geometry Essentials
A.3 Polynomials
A.4 Factoring Polynomials
A.5 Synthetic Division
A.6 Rational Expressions
A.7 nth Roots; Rational Exponents
A.8 Solving Equations
A.9 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Jobs
A.10 Interval Notation; Solving Inequalities
A.11 Complex Numbers
Appendix B. Graphing Utilities
B.1 The Viewing Rectangle
B.2 Using a Graphing Utility to Graph Equations
B.3 Using a Graphing Utility to Locate Intercepts and Check for Symmetry
B.4 Using a Graphing Utility to Solve Equations
B.5 Square Screens
B.6 Using a Graphing Utility to Graph Inequalities
B.7 Using a Graphing Utility to Solve Systems of Linear Equations
B.8 Using a Graphing Utility to Graph a Polar Equation
B.9 Using a Graphing Utility to Graph Parametric Equations
Answers
Index
F.1 The Distance and Midpoint Formulas
F.2 Graphs of Equations in Two Variables; Intercepts; Symmetry
F.3 Lines
F.4 Circles
1. Functions and Their Graphs
1.1 Functions
1.2 The Graph of a Function
1.3 Properties of Functions
1.4 Library of Functions; Piecewise-defined Functions
1.5 Graphing Techniques: Transformations
1.6 Mathematical Models: Constructing Functions
1.7 Building Mathematical Models Using Variation
Chapter Review
Chapter Test
Chapter Projects
2. Linear and Quadratic Functions
2.1 Properties of Linear Functions and Linear Models
2.2 Building Linear Models from Data
2.3 Quadratic Functions and Their Zeros
2.4 Properties of Quadratic Functions
2.5 Inequalities Involving Quadratic Functions
2.6 Building Quadratic Models from Verbal Descriptions and from Data
2.7 Complex Zeros of a Quadratic Function
2.8 Equations and Inequalities Involving the Absolute Value Function
Chapter Review
Chapter Test
Chapter Projects
Cumulative Review
3. Polynomial and Rational Functions
3.1 Polynomial Functions and Models
3.2 Properties of Rational Functions
3.3 The Graph of a Rational Function
3.4 Polynomial and Rational Inequalities
3.5 The Real Zeros of a Polynomial Function
3.6 Complex Zeros; Fundamental Theorem of Algebra
Chapter Review
Chapter Test
Chapter Projects
Cumulative Review
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 Functions from Data
Chapter Review
Chapter Test
Chapter Projects
Cumulative Review
5.Conics
5.1 Conics
5.2 The Parabola
5.3 The Ellipse
5.4 The Hyperbola
Chapter Review
Chapter Test
Chapter Projects
Cumulative Review
6.SystemsofEquationsandInequalities
6.1 Systems of Linear Equations: Substitution and Elimination
6.2 Systems of Linear Equations: Matrices
6.3 Systems of Linear Equations: Determinants
6.4 Matrix Algebra
6.5 Partial Fraction Decomposition
6.6 Systems of Nonlinear Equations
6.7 Systems of Inequalities
6.8 Linear Programming
Chapter Review
Chapter Test
Chapter Projects
Cumulative Review
7.Sequences;Induction;theBinomialTheorem
7.1 Sequences
7.2 Arithmetic Sequences
7.3 Geometric Sequences; Geometric Series
7.4 Mathematical Induction
7.5 The Binomial Theorem
Chapter Review
Chapter Test
Chapter Projects
Cumulative Review
8.CountingandProbability
8.1 Counting
8.2 Permutations and Combinations
8.3 Probability
Chapter Review
Chapter Test
Chapter Projects
Cumulative Review
Appendix A. Review
A.1 Algebra Essentials
A.2 Geometry Essentials
A.3 Polynomials
A.4 Factoring Polynomials
A.5 Synthetic Division
A.6 Rational Expressions
A.7 nth Roots; Rational Exponents
A.8 Solving Equations
A.9 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Jobs
A.10 Interval Notation; Solving Inequalities
A.11 Complex Numbers
Appendix B. Graphing Utilities
B.1 The Viewing Rectangle
B.2 Using a Graphing Utility to Graph Equations
B.3 Using a Graphing Utility to Locate Intercepts and Check for Symmetry
B.4 Using a Graphing Utility to Solve Equations
B.5 Square Screens
B.6 Using a Graphing Utility to Graph Inequalities
B.7 Using a Graphing Utility to Solve Systems of Linear Equations
B.8 Using a Graphing Utility to Graph a Polar Equation
B.9 Using a Graphing Utility to Graph Parametric Equations
Answers
Index