Elementary and Intermediate Algebra
Graphs and Models
5th Edition
Published on 19. January 2017
Book
Hardback
1104 pages
978-0-13-417240-8 (ISBN)
Description
For courses in elementary and intermediate algebra.
Objective: Visualizing the Concepts
One of the hallmarks of the Bittinger Developmental Math program is objective-based learning. In Elementary and Intermediate Algebra: Graphs and Models, Fifth Edition, the authors place special emphasis on conceptual understanding, modeling, and visualization. Their goal is to help students "see the math" and learn algebra by making connections between the math and real-world applications. For the Fifth Edition, the authors have made many updates to the text and applications, as well as to the accompanying resources. These include important enhancements to the MyMathLab course, new Active Learning Figures, and the creation of a new interactive video program, To-the-Point Objective Videos, associated with a new student workbook, MyMathGuide: Notes, Practice, and Video Path.
Also available with MyMathLab
MyMathLab is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Within its structured environment, students practice what they learn, test their understanding, and pursue a personalized study plan that helps them absorb course material and understand difficult concepts. The text and MyMathLab course form a tightly integrated program with all new To-the-Point Objective Videos, Active Learning Figures, and MyMathGuide workbook.
Note: You are purchasing a standalone product; MyLab (TM) & Mastering (TM) does not come packaged with this content. Students, if interested in purchasing this title with MyLab & Mastering, ask your instructor for the correct package ISBN and Course ID. Instructors, contact your Pearson representative for more information.
If you would like to purchase boththe physical text and MyLab & Mastering, search for:
0134195795 / 9780134195797 Elementary and Intermediate Algebra: Graphs & Models Plus MyMathLab -- Student Access Kit
Package consists of:
013417240X / 9780134172408 Elementary & Intermediate Algebra: Graphs & Models
0321431308 / 9780321431301 MyMathLab -- Glue-in Access Card
0321654064 / 9780321654069 MyMathLab Inside Star Sticker
Objective: Visualizing the Concepts
One of the hallmarks of the Bittinger Developmental Math program is objective-based learning. In Elementary and Intermediate Algebra: Graphs and Models, Fifth Edition, the authors place special emphasis on conceptual understanding, modeling, and visualization. Their goal is to help students "see the math" and learn algebra by making connections between the math and real-world applications. For the Fifth Edition, the authors have made many updates to the text and applications, as well as to the accompanying resources. These include important enhancements to the MyMathLab course, new Active Learning Figures, and the creation of a new interactive video program, To-the-Point Objective Videos, associated with a new student workbook, MyMathGuide: Notes, Practice, and Video Path.
Also available with MyMathLab
MyMathLab is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Within its structured environment, students practice what they learn, test their understanding, and pursue a personalized study plan that helps them absorb course material and understand difficult concepts. The text and MyMathLab course form a tightly integrated program with all new To-the-Point Objective Videos, Active Learning Figures, and MyMathGuide workbook.
Note: You are purchasing a standalone product; MyLab (TM) & Mastering (TM) does not come packaged with this content. Students, if interested in purchasing this title with MyLab & Mastering, ask your instructor for the correct package ISBN and Course ID. Instructors, contact your Pearson representative for more information.
If you would like to purchase boththe physical text and MyLab & Mastering, search for:
0134195795 / 9780134195797 Elementary and Intermediate Algebra: Graphs & Models Plus MyMathLab -- Student Access Kit
Package consists of:
013417240X / 9780134172408 Elementary & Intermediate Algebra: Graphs & Models
0321431308 / 9780321431301 MyMathLab -- Glue-in Access Card
0321654064 / 9780321654069 MyMathLab Inside Star Sticker
More details
Other editions
Previous edition
Marvin L. Bittinger | David J. Ellenbogen | Barbara L. Johnson
Elementary and Intermediate Algebra
Graphs and Models
Book
03/2011
4th Edition
Pearson
€216.01
Article exhausted; check for reprint
Persons
Marvin Bittinger has been teaching math at the university level for more than thirty-eight years. Since 1968, he has been employed at Indiana University-Purdue University Indianapolis, and is now Professor Emeritus of Mathematics Education. Professor Bittinger has authored over 190 publications on topics ranging from basic mathematics to algebra and trigonometry to applied calculus. He received his BA in mathematics from Manchester College and his PhD in mathematics education from Purdue University. Special honors include Distinguished Visiting Professor at the United States Air Force Academy and his election to the Manchester College Board of Trustees from 1992 to 1999. Professor Bittinger has also had the privilege of speaking at many mathematics conventions, most recently giving a lecture entitled "Baseball and Mathematics." His hobbies include hiking in Utah, baseball, golf, and bowling. In addition, he also has an interest in philosophy and theology, in particular, apologetics. Professor Bittinger currently lives in Carmel, Indiana, with his wife Elaine. He has two grown and married sons, Lowell and Chris, and four granddaughters.
David Ellenbogen has taught math at the college level for nearly 30 years, spending most of that time in the Massachusetts and Vermont community college systems, where he has served on both curriculum and developmental math committees. He has taught at St. Michael's College and The University of Vermont. Professor Ellenbogen has been active in the American Mathematical Association of Two Year Colleges (AMATYC) since 1985, having served on its Developmental Mathematics Committee and as a delegate. He has been a member of the Mathematical Association of America (MAA) since 1979. He has authored dozens of texts on topics ranging from prealgebra to calculus and has delivered lectures on the use of language in mathematics. Professor Ellenbogen received his bachelor's degree in mathematics from Bates College and his master's degree in community college mathematics education from The University of Massachusetts-Amherst. In his spare time, he enjoys playing piano, biking, hiking, skiing, and volunteer work. He currently serves on the boards of the Vermont Sierra Club and the Vermont Bicycle Pedestrian Coalition. He has two sons, Monroe and Zachary.
Barbara Johnson has a BS in mathematics from Bob Jones University and a MS in math from Clemson University. She has taught high school and college math for 25 years, and enjoys the challenge of helping each student grow in appreciation for and understanding of mathematics. As a Purdue Master Gardener, she also enjoys helping others learn gardening skills. Believing that the best teacher is always learning, she recently earned a black belt in karate. She currently teaches at Ivy Tech Community College of Indiana.
David Ellenbogen has taught math at the college level for nearly 30 years, spending most of that time in the Massachusetts and Vermont community college systems, where he has served on both curriculum and developmental math committees. He has taught at St. Michael's College and The University of Vermont. Professor Ellenbogen has been active in the American Mathematical Association of Two Year Colleges (AMATYC) since 1985, having served on its Developmental Mathematics Committee and as a delegate. He has been a member of the Mathematical Association of America (MAA) since 1979. He has authored dozens of texts on topics ranging from prealgebra to calculus and has delivered lectures on the use of language in mathematics. Professor Ellenbogen received his bachelor's degree in mathematics from Bates College and his master's degree in community college mathematics education from The University of Massachusetts-Amherst. In his spare time, he enjoys playing piano, biking, hiking, skiing, and volunteer work. He currently serves on the boards of the Vermont Sierra Club and the Vermont Bicycle Pedestrian Coalition. He has two sons, Monroe and Zachary.
Barbara Johnson has a BS in mathematics from Bob Jones University and a MS in math from Clemson University. She has taught high school and college math for 25 years, and enjoys the challenge of helping each student grow in appreciation for and understanding of mathematics. As a Purdue Master Gardener, she also enjoys helping others learn gardening skills. Believing that the best teacher is always learning, she recently earned a black belt in karate. She currently teaches at Ivy Tech Community College of Indiana.
Content
1. Introduction to Algebraic Expressions
1.1 Introduction to Algebra
1.2 The Commutative, Associative, and Distributive Laws
1.3 Fraction Notation
1.4 Positive and Negative Real Numbers
Mid-Chapter Review
1.5 Addition of Real Numbers
1.6 Subtraction of Real Numbers
1.7 Multiplication and Division of Real Numbers
1.8 Exponential Notation and Order of Operations
2. Equations, Inequalities, and Problem Solving
2.1 Solving Equations
2.2 Using the Principles Together
2.3 Formulas
Mid-Chapter Review
2.4 Applications with Percent
2.5 Problem Solving
2.6 Solving Inequalities
2.7 Solving Applications with Inequalities
3. Introduction to Graphing and Functions
3.1 Reading Graphs, Plotting Points, and Scaling Graphs
3.2 Graphing Equations
3.3 Linear Equations and Intercepts
3.4 Rates
3.5 Slope
Mid-Chapter Review
3.6 Slope-Intercept Form
3.7 Point-Slope Form; Introduction to Curve Fitting
3.8 Functions
4. Systems of Equations in Two Variables
4.1 Systems of Equations and Graphing
4.2 Systems of Equations and Substitution
4.3 Systems of Equations and Elimination
Mid-Chapter Review
4.4 More Applications Using Systems
4.5 Solving Equations by Graphing
5. Polynomials
5.1 Exponents and Their Properties
5.2 Negative Exponents and Scientific Notation
5.3 Polynomials and Polynomial Functions
5.4 Addition and Subtraction of Polynomials
5.5 Multiplication of Polynomials
5.6 Special Products
Mid-Chapter Review
5.7 Polynomials in Several Variables
5.8 Division of Polynomials
5.9 The Algebra of Functions
6. Polynomial Factorizations and Equations
6.1 Introduction to Polynomial Factorizations and Equations
6.2 Trinomials of the Type x2 + bx + c
6.3 Trinomials of the Type ax2 + bx + c
Mid-Chapter Review
6.4 Perfect-Square Trinomials and Differences of Squares
6.5 Sums or Differences of Cubes
6.6 Factoring: A General Strategy
6.7 Applications of Polynomial Equations
7. Rational Expressions, Equations, and Functions
7.1 Rational Expressions and Functions
7.2 Multiplication and Division
7.3 Addition, Subtraction, and Least Common Denominators
7.4 Addition and Subtractions with Unlike Denominators
Mid-Chapter Review
7.5 Complex Rational Expressions
7.6 Rational Equations
7.7 Applications Using Rational Equations and Proportions
7.8 Formulas, Applications, and Variation
8. Inequalities
8.1 Graphical Solutions and Compound
8.2 Absolute Value Equations and Inequalities
Mid-Chapter Review
8.3 Inequalities in Two Variables
8.4 Polynomial Inequalities and Rational Inequalities
9. More On Systems
9.1 Systems of Equations in Three Variables
9.2 Solving Applications: Systems of Three Equations
9.3 Elimination Using Matrices
Mid-Chapter Review
9.4 Determinants and Cramer's Rule
9.5 Business and Economic Applications
10. Exponents and Radical Functions
10.1 Radical Expressions, Functions, and Models
10.2 Rational Numbers as Exponents
10.3 Multiplying Radical Expressions
10.4 Dividing Radical Expressions
10.5 Expressions Containing Several Radical Terms
Mid-Chapter Review
10.6 Solving Radical Equations
10.7 The Distance Formula, the Midpoint Formula, and Other Applications
10.8 The Complex Numbers
11. Quadratic Functions and Equations
11.1 Quadratic Equations
11.2 The Quadratic Formula
11.3 Studying Solutions of Quadratic Equations
11.4 Applications Involving Quadratic Equations
11.5 Equations Reducible to Quadratic
Mid-Chapter Review
11.6 Quadratic Functions and Their Graphs
11.7 More About Graphing Quadratic Functions
11.8 Problem Solving and Quadratic Equations
12. Exponential Functions and Logarithmic Functions
12.1 Composite Functions and Inverse Functions
12.2 Exponential Functions
12.3 Logarithmic Functions
12.4 Properties of Logarithmic Functions
Mid-Chapter Review
12.5 Natural Logarithms and Changing Bases
12.6 Solving Exponential and Logarithmic Equations
12.7 Applications of Exponential and Logarithmic Functions
1.1 Introduction to Algebra
1.2 The Commutative, Associative, and Distributive Laws
1.3 Fraction Notation
1.4 Positive and Negative Real Numbers
Mid-Chapter Review
1.5 Addition of Real Numbers
1.6 Subtraction of Real Numbers
1.7 Multiplication and Division of Real Numbers
1.8 Exponential Notation and Order of Operations
2. Equations, Inequalities, and Problem Solving
2.1 Solving Equations
2.2 Using the Principles Together
2.3 Formulas
Mid-Chapter Review
2.4 Applications with Percent
2.5 Problem Solving
2.6 Solving Inequalities
2.7 Solving Applications with Inequalities
3. Introduction to Graphing and Functions
3.1 Reading Graphs, Plotting Points, and Scaling Graphs
3.2 Graphing Equations
3.3 Linear Equations and Intercepts
3.4 Rates
3.5 Slope
Mid-Chapter Review
3.6 Slope-Intercept Form
3.7 Point-Slope Form; Introduction to Curve Fitting
3.8 Functions
4. Systems of Equations in Two Variables
4.1 Systems of Equations and Graphing
4.2 Systems of Equations and Substitution
4.3 Systems of Equations and Elimination
Mid-Chapter Review
4.4 More Applications Using Systems
4.5 Solving Equations by Graphing
5. Polynomials
5.1 Exponents and Their Properties
5.2 Negative Exponents and Scientific Notation
5.3 Polynomials and Polynomial Functions
5.4 Addition and Subtraction of Polynomials
5.5 Multiplication of Polynomials
5.6 Special Products
Mid-Chapter Review
5.7 Polynomials in Several Variables
5.8 Division of Polynomials
5.9 The Algebra of Functions
6. Polynomial Factorizations and Equations
6.1 Introduction to Polynomial Factorizations and Equations
6.2 Trinomials of the Type x2 + bx + c
6.3 Trinomials of the Type ax2 + bx + c
Mid-Chapter Review
6.4 Perfect-Square Trinomials and Differences of Squares
6.5 Sums or Differences of Cubes
6.6 Factoring: A General Strategy
6.7 Applications of Polynomial Equations
7. Rational Expressions, Equations, and Functions
7.1 Rational Expressions and Functions
7.2 Multiplication and Division
7.3 Addition, Subtraction, and Least Common Denominators
7.4 Addition and Subtractions with Unlike Denominators
Mid-Chapter Review
7.5 Complex Rational Expressions
7.6 Rational Equations
7.7 Applications Using Rational Equations and Proportions
7.8 Formulas, Applications, and Variation
8. Inequalities
8.1 Graphical Solutions and Compound
8.2 Absolute Value Equations and Inequalities
Mid-Chapter Review
8.3 Inequalities in Two Variables
8.4 Polynomial Inequalities and Rational Inequalities
9. More On Systems
9.1 Systems of Equations in Three Variables
9.2 Solving Applications: Systems of Three Equations
9.3 Elimination Using Matrices
Mid-Chapter Review
9.4 Determinants and Cramer's Rule
9.5 Business and Economic Applications
10. Exponents and Radical Functions
10.1 Radical Expressions, Functions, and Models
10.2 Rational Numbers as Exponents
10.3 Multiplying Radical Expressions
10.4 Dividing Radical Expressions
10.5 Expressions Containing Several Radical Terms
Mid-Chapter Review
10.6 Solving Radical Equations
10.7 The Distance Formula, the Midpoint Formula, and Other Applications
10.8 The Complex Numbers
11. Quadratic Functions and Equations
11.1 Quadratic Equations
11.2 The Quadratic Formula
11.3 Studying Solutions of Quadratic Equations
11.4 Applications Involving Quadratic Equations
11.5 Equations Reducible to Quadratic
Mid-Chapter Review
11.6 Quadratic Functions and Their Graphs
11.7 More About Graphing Quadratic Functions
11.8 Problem Solving and Quadratic Equations
12. Exponential Functions and Logarithmic Functions
12.1 Composite Functions and Inverse Functions
12.2 Exponential Functions
12.3 Logarithmic Functions
12.4 Properties of Logarithmic Functions
Mid-Chapter Review
12.5 Natural Logarithms and Changing Bases
12.6 Solving Exponential and Logarithmic Equations
12.7 Applications of Exponential and Logarithmic Functions