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Beginning and Intermediate Algebra with Applications & Visualization Gary Rockswold

Beginning and Intermediate Algebra with Applications & Visualization By Gary Rockswold

Beginning and Intermediate Algebra with Applications & Visualization by Gary Rockswold


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Beginning and Intermediate Algebra with Applications & Visualization Summary

Beginning and Intermediate Algebra with Applications & Visualization by Gary Rockswold

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.

About Gary Rockswold

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.

Table of Contents

1. Introduction to Algebra 1.1 Numbers, Variables, and Expressions 1.2 Fractions 1.3 Exponents and Order of Operations 1.4 Real Numbers and the Number Line 1.5 Addition and Subtraction of Real Numbers 1.6 Multiplication and Division of Real Numbers 1.7 Properties of Real Numbers 1.8 Simplifying and Writing Algebraic Expressions Summary - Review Exercises - Test - Extended and Discovery Exercises 2. Linear Equations and Inequalities 2.1 Introduction to Equations 2.2 Linear Equations 2.3 Introduction to Problem Solving 2.4 Formulas 2.5 Linear Inequalities Summary - Review Exercises - Test - Extended and Discovery Exercises Chapters 1-2 Cumulative Review 3. Graphing Equations 3.1 Introduction to Graphing 3.2 Linear Equations in Two Variables 3.3 More Graphing of Lines 3.4 Slope and Rates of Change 3.5 Slope-Intercept Form 3.6 Point-Slope Form 3.7 Introduction to Modeling Summary - Review Exercises - Test - Extended and Discovery Exercises Chapters 1-3 Cumulative Review 4. Systems of Linear Equations in Two Variables 4.1 Solving Systems of Linear Equations Graphically and Numerically 4.2 Solving Systems of Linear Equations by Substitution 4.3 Solving Systems of Linear Equations by Elimination 4.4 Systems of Linear Inequalities Summary - Review Exercises - Test - Extended and Discovery Exercises Chapters 1-4 Cumulative Review 5. Polynomials and Exponents 5.1 Rules for Exponents 5.2 Addition and Subtraction of Polynomials 5.3 Multiplication of Polynomials 5.4 Special Products 5.5 Integer Exponents and the Quotient Rule 5.6 Division of Polynomials Summary - Review Exercises - Test - Extended and Discovery Exercises Chapters 1-5 Cumulative Review 6. Factoring Polynomials and Solving Equations 6.1 Introduction to Factoring 6.2 Factoring Trinomials I (x2 + bx + c) 6.3 Factoring Trinomials II (ax2 + bx + c) 6.4 Special Types of Factoring 6.5 Summary of Factoring 6.6 Solving Equations by Factoring I (Quadratics) 6.7 Solving Equations by Factoring II (Higher Degree) Summary - Review Exercises - Test - Extended and Discovery Exercises Chapters 1-6 Cumulative Review Exercises 7. Rational Expressions 7.1 Introduction to Rational Expressions 7.2 Multiplication and Division of Rational Expressions 7.3 Addition and Subtraction with Like Denominators 7.4 Addition and Subtraction with Unlike Denominators 7.5 Complex Fractions 7.6 Rational Equations and Formulas 7.7 Proportions and Variation Summary - Review Exercises - Test - Extended and Discovery Exercises Chapters 1-7 Cumulative Review 8. Introduction to Functions 8.1 Functions and Their Representations 8.2 Linear Functions 8.3 Compound Inequalities 8.4 Other Functions and Their Properties 8.5 Absolute Value Equations and Inequalities Summary - Review Exercises - Test - Extended and Discovery Exercises Chapters 1-8 Cumulative Review 9. Systems of Linear Equations 9.1 Systems of Linear Equations in Three Variables 9.2 Matrix Solutions of Linear Systems 9.3 Determinants Summary - Review Exercises - Test - Extended and Discovery Exercises Chapters 1-9 Cumulative Review Exercises 10. Radical Expressions and Functions 10.1 Radical Expressions and Functions 10.2 Rational Exponents 10.3 Simplifying Radical Expressions 10.4 Operations on Radical Expressions 10.5 More Radical Functions 10.6 Equations Involving Radical Expressions 10.7 Complex Numbers Summary - Review Exercises - Test - Extended and Discovery Exercises Chapters 1-10 Cumulative Review 11. Quadratic Functions and Equations 11.1 Quadratic Functions and Their Graphs 11.2 Parabolas and Modeling 11.3 Quadratic Equations 11.4 The Quadratic Formula 11.5 Quadratic Inequalities 11.6 Equations in Quadratic Form Summary - Review Exercises - Test - Extended and Discovery Exercises Chapters 1-11 Cumulative Review 12. Exponential and Logarithmic Functions 12.1 Composite and Inverse Functions 12.2 Exponential Functions 12.3 Logarithmic Functions 12.4 Properties of Logarithms 12.5 Exponential and Logarithmic Equations Summary - Review Exercises - Test - Extended and Discovery Exercises Chapters 1-12 Cumulative Review Exercises 13. Conic Sections 13.1 Parabolas and Circles 13.2 Ellipses and Hyperbolas 13.3 Nonlinear Systems of Equations and Inequalities Summary - Review Exercises - Test - Extended and Discovery Exercises Chapters 1-13 Cumulative Review 14. Sequences and Series 14.1 Sequences 14.2 Arithmetic and Geometric Sequences 14.3 Series 14.4 The Binomial Theorem Summary - Review Exercises - Test - Extended and Discovery Exercises Chapters 1-14 Cumulative Review Exercises Appendix A. Using the Graphing Calculator Appendix B. Sets Appendix C. Linear Programming Appendix D. Synthetic Division Bibliography Answers to Selected Exercises Photo Credits Glossary Index

Additional information

CIN0321756517VG
9780321756510
0321756517
Beginning and Intermediate Algebra with Applications & Visualization by Gary Rockswold
Used - Very Good
Hardback
Pearson Education (US)
20120208
1088
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
This is a used book - there is no escaping the fact it has been read by someone else and it will show signs of wear and previous use. Overall we expect it to be in very good condition, but if you are not entirely satisfied please get in touch with us

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