Intermediate Algebra with Applications & Visualization
4th Edition
Published on 9. February 2012
Book
Hardback
912 pages
978-0-321-77331-9 (ISBN)
Description
The Rockswold/Krieger algebra series fosters conceptual understanding by using relevant applications and visualization to show students why math matters. It answers the common question "When will I ever use this?" Rockswold teaches students the math in context, rather than including the applications at the end of the presentation. By seamlessly integrating meaningful applications that include real data and supporting visuals (graphs, tables, charts, colors, and diagrams), students are able to see how math impacts their lives as they learn the concepts. The authors believe this approach deepens conceptual understanding and better prepares students for future math courses and life.
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Gary Rockswold | Terry Krieger
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Gary K. Rockswold | Terry A. Krieger
Intermediate Algebra with Applications and Visualization
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3rd Edition
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Persons
Gary Rockswold has been a professor and teacher of mathematics, computer science, astronomy, and physical science for over 35 years. He has taught not only at the undergraduate and graduate college levels, but he has also taught middle school, high school, vocational school, and adult education. He received his BA degree with majors in mathematics and physics from St. Olaf College and his Ph.D. in applied mathematics from Iowa State University. He has been a principal investigator at the Minnesota Supercomputer Institute, publishing research articles in numerical analysis and parallel processing and is currently an emeritus professor of mathematics at Minnesota State University, Mankato. He is an author for Pearson Education and has over 10 current textbooks at the developmental and precalculus levels. His developmental coauthor and friend is Terry Krieger. They have been working together for over a decade. Making mathematics meaningful for students and professing the power of mathematics are special passions for Gary. In his spare time he enjoys sailing, doing yoga, and spending time with his family.
Additional information about Gary Rockswold can be found at www.garyrockswold.net.
Terry Krieger has taught mathematics for 18 years at the middle school, high school, vocational, community college and university levels. His undergraduate degree in secondary education is from Bemidji State University in Minnesota, where he graduated summa cum laude. He received his MA in mathematics from Minnesota State University - Mankato. In addition to his teaching experience in the United States, Terry has taught mathematics in Tasmania, Australia, and in a rural school in Swaziland, Africa, where he served as a Peace Corps volunteer. Terry is currently teaching at Rochester Community and Technical College in Rochester, Minnesota. He has been involved with various aspects of mathematics textbook publication for more than 14 years and has joined his friend Gary Rockswold as coauthor of a developmental math series published by Pearson Education. In his free time, Terry enjoys spending time with his wife and two boys, physical fitness, wilderness camping, and trout fishing.
Additional information about Gary Rockswold can be found at www.garyrockswold.net.
Terry Krieger has taught mathematics for 18 years at the middle school, high school, vocational, community college and university levels. His undergraduate degree in secondary education is from Bemidji State University in Minnesota, where he graduated summa cum laude. He received his MA in mathematics from Minnesota State University - Mankato. In addition to his teaching experience in the United States, Terry has taught mathematics in Tasmania, Australia, and in a rural school in Swaziland, Africa, where he served as a Peace Corps volunteer. Terry is currently teaching at Rochester Community and Technical College in Rochester, Minnesota. He has been involved with various aspects of mathematics textbook publication for more than 14 years and has joined his friend Gary Rockswold as coauthor of a developmental math series published by Pearson Education. In his free time, Terry enjoys spending time with his wife and two boys, physical fitness, wilderness camping, and trout fishing.
Content
1. Real Numbers and Algebra
1.1 Describing Data with Sets of Numbers
1.2 Operations on Real Numbers
1.3 Integer Exponents
1.4 Variables, Equations, and Formulas
1.5 Introduction to Graphing
Summary - Review Exercises - Test - Extended and Discovery Exercises
2. Linear Functions and Models
2.1 Functions and Their Representations
2.2 Linear Functions
2.3 The Slope of a Line
2.4 Equations of Lines and Linear Models
Summary - Review Exercises - Test - Extended and Discovery Exercises
Chapters 1-2 Cumulative Review Exercises
3. Linear Equations and Inequalities
3.1 Linear Equations
3.2 Introduction to Problem Solving
3.3 Linear Inequalities
3.4 Compound Inequalities
3.5 Absolute Value Equations and Inequalities
Summary - Review Exercises - Test - Extended and Discovery Exercises
Chapters 1-3 Cumulative Review Exercises
4. Systems of Linear Equations
4.1 Systems of Linear Equations in Two Variables
4.2 The Substitution and Elimination Methods
4.3 Systems of Linear Inequalities
4.4 Introduction to Linear Programming
4.5 Systems of Linear Equations in Three Variables
4.6 Matrix Solutions of Linear Systems
4.7 Determinants
Summary - Review Exercises - Test - Extended and Discovery Exercises
Chapters 1-4 Cumulative Review Exercises
5. Polynomial Expressions and Functions
5.1 Polynomial Functions
5.2 Multiplication of Polynomials
5.3 Factoring Polynomials
5.4 Factoring Trinomials
5.5 Special Types of Factoring
5.6 Summary of Factoring
5.7 Polynomial Equations
Summary - Review Exercises - Test - Extended and Discovery Exercises
Chapters 1-5 Cumulative Review Exercises
6. Rational Expressions and Functions
6.1 Introduction to Rational Functions and Equations
6.2 Multiplication and Division of Rational Expressions
6.3 Addition and Subtraction of Rational Expressions
6.4 Rational Equations
6.5 Complex Fractions
6.6 Modeling with Proportions and Variation
6.7 Division of Polynomials
Summary - Review Exercises - Test - Extended and Discovery Exercises
Chapters 1-6 Cumulative Review Exercises
7. Radical Expressions and Functions
7.1 Radical Expressions and Functions
7.2 Rational Exponents
7.3 Simplifying Radical Expressions
7.4 Operations on Radical Expressions
7.5 More Radical Functions
7.6 Equations Involving Radical Expressions
7.7 Complex Numbers
Summary - Review Exercises - Test - Extended and Discovery Exercises
Chapters 1-7 Cumulative Review Exercises
8. Quadratic Functions and Equations
8.1 Quadratic Functions and Their Graphs
8.2 Parabolas and Modeling
8.3 Quadratic Equations
8.4 The Quadratic Formula
8.5 Quadratic Inequalities
8.6 Equations in Quadratic Form
Summary - Review Exercises - Test - Extended and Discovery Exercises
Chapters 1-8 Cumulative Review Exercises
9. Exponential and Logarithmic Functions
9.1 Composite and Inverse Functions
9.2 Exponential Functions
9.3 Logarithmic Functions
9.4 Properties of Logarithms
9.5 Exponential and Logarithmic Equations
Summary - Review Exercises - Test - Extended and Discovery Exercises
Chapters 1-9 Cumulative Review Exercises
10. Conic Sections
10.1 Parabolas and Circles
10.2 Ellipses and Hyperbolas
10.3 Nonlinear Systems of Equations and Inequalities
Summary - Review Exercises - Test - Extended and Discovery Exercises
Chapters 1-10 Cumulative Review Exercises
11. Sequences and Series
11.1 Sequences
11.2 Arithmetic and Geometric Sequences
11.3 Series
11.4 The Binomial Theorem
Summary - Review Exercises - Test - Extended and Discovery Exercises
Chapters 1-11 Cumulative Review Exercises
Appendix A: Using the Graphing Calculator
Appendix B: The Midpoint Formula
Bibliography
Answers to Selected Exercises
Photo Credits
Glossary
Index
1.1 Describing Data with Sets of Numbers
1.2 Operations on Real Numbers
1.3 Integer Exponents
1.4 Variables, Equations, and Formulas
1.5 Introduction to Graphing
Summary - Review Exercises - Test - Extended and Discovery Exercises
2. Linear Functions and Models
2.1 Functions and Their Representations
2.2 Linear Functions
2.3 The Slope of a Line
2.4 Equations of Lines and Linear Models
Summary - Review Exercises - Test - Extended and Discovery Exercises
Chapters 1-2 Cumulative Review Exercises
3. Linear Equations and Inequalities
3.1 Linear Equations
3.2 Introduction to Problem Solving
3.3 Linear Inequalities
3.4 Compound Inequalities
3.5 Absolute Value Equations and Inequalities
Summary - Review Exercises - Test - Extended and Discovery Exercises
Chapters 1-3 Cumulative Review Exercises
4. Systems of Linear Equations
4.1 Systems of Linear Equations in Two Variables
4.2 The Substitution and Elimination Methods
4.3 Systems of Linear Inequalities
4.4 Introduction to Linear Programming
4.5 Systems of Linear Equations in Three Variables
4.6 Matrix Solutions of Linear Systems
4.7 Determinants
Summary - Review Exercises - Test - Extended and Discovery Exercises
Chapters 1-4 Cumulative Review Exercises
5. Polynomial Expressions and Functions
5.1 Polynomial Functions
5.2 Multiplication of Polynomials
5.3 Factoring Polynomials
5.4 Factoring Trinomials
5.5 Special Types of Factoring
5.6 Summary of Factoring
5.7 Polynomial Equations
Summary - Review Exercises - Test - Extended and Discovery Exercises
Chapters 1-5 Cumulative Review Exercises
6. Rational Expressions and Functions
6.1 Introduction to Rational Functions and Equations
6.2 Multiplication and Division of Rational Expressions
6.3 Addition and Subtraction of Rational Expressions
6.4 Rational Equations
6.5 Complex Fractions
6.6 Modeling with Proportions and Variation
6.7 Division of Polynomials
Summary - Review Exercises - Test - Extended and Discovery Exercises
Chapters 1-6 Cumulative Review Exercises
7. Radical Expressions and Functions
7.1 Radical Expressions and Functions
7.2 Rational Exponents
7.3 Simplifying Radical Expressions
7.4 Operations on Radical Expressions
7.5 More Radical Functions
7.6 Equations Involving Radical Expressions
7.7 Complex Numbers
Summary - Review Exercises - Test - Extended and Discovery Exercises
Chapters 1-7 Cumulative Review Exercises
8. Quadratic Functions and Equations
8.1 Quadratic Functions and Their Graphs
8.2 Parabolas and Modeling
8.3 Quadratic Equations
8.4 The Quadratic Formula
8.5 Quadratic Inequalities
8.6 Equations in Quadratic Form
Summary - Review Exercises - Test - Extended and Discovery Exercises
Chapters 1-8 Cumulative Review Exercises
9. Exponential and Logarithmic Functions
9.1 Composite and Inverse Functions
9.2 Exponential Functions
9.3 Logarithmic Functions
9.4 Properties of Logarithms
9.5 Exponential and Logarithmic Equations
Summary - Review Exercises - Test - Extended and Discovery Exercises
Chapters 1-9 Cumulative Review Exercises
10. Conic Sections
10.1 Parabolas and Circles
10.2 Ellipses and Hyperbolas
10.3 Nonlinear Systems of Equations and Inequalities
Summary - Review Exercises - Test - Extended and Discovery Exercises
Chapters 1-10 Cumulative Review Exercises
11. Sequences and Series
11.1 Sequences
11.2 Arithmetic and Geometric Sequences
11.3 Series
11.4 The Binomial Theorem
Summary - Review Exercises - Test - Extended and Discovery Exercises
Chapters 1-11 Cumulative Review Exercises
Appendix A: Using the Graphing Calculator
Appendix B: The Midpoint Formula
Bibliography
Answers to Selected Exercises
Photo Credits
Glossary
Index