Beginning Algebra with Applications & Visualization

Autor Gary K. Rockswold, Terry A. Krieger

en Limba Engleză Hardback – 26 dec 2007

Gary Rockswold and Terry Krieger focus on teaching algebra in context, giving students realistic and convincing answers to the perennial question, “When will I ever use this?” The authors’ consistent use of real data, graphs, and tables throughout the examples and exercise sets gives meaning to the numbers and equations as students encounter them. This new edition further enhances Rockswold and Krieger’s focus on math in the real world with new features and updated applications to engage today’s students.

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Specificații

ISBN-13: 9780321500045
ISBN-10: 0321500040
Pagini: 720
Dimensiuni: 216 x 254 x 29 mm
Greutate: 1.56 kg
Ediția:2Nouă
Editura: Pearson Education
Colecția Pearson Education
Locul publicării:Upper Saddle River, United States

Cuprins

Note: There are Cumulative Review exercises after every chapter beginning with Chapter 2, and Checking Basic Concepts exercises after every other section.

Preface
Features
Supplements
Acknowledgments

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

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

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

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

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

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)

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

8. Radical Expressions
8.1 Introduction to Radical Expressions
8.2 Multiplication and Division of Radical Expressions
8.3 Addition and Subtraction of Radical Expressions
8.4 Simplifying Radical Expressions
8.5 Equations Involving Radical Expressions
8.6 Higher Roots and Rational Exponents

9. Quadratic Equations
9.1 Parabolas
9.2 Introduction to Quadratic Equations
9.3 Solving by Completing the Square
9.4 The Quadratic Formula
9.5 Complex Solutions
9.6 Introduction to Functions

Appendix Sets

Answers to Selected Exercises
Glossary
Bibliography
Photo Credits
Index of Applications
Index

Notă biografică

Gary Rockswold is a professor of mathematics at Minnesota State University—Mankato. He received his BA in mathematics and physics from St. Olaf College and his Ph.D. in applied mathematics from Iowa State. He was elected to the honor societies of Phi Beta Kappa, Phi Kappa Phi, and Sigma Xi. He has been a principal investigator at the Minnesota Supercomputer Institute and has published several research articles discussing parallel processing and numerical analysis. He is also the author or coauthor of more than 10 current textbooks. At regional and national meetings, he has given numerous presentations related to teaching mathematics. During his thirty-five-year career, Gary has taught mathematics, physical science, astronomy, and computer science at a variety of student levels, ranging from junior high to graduate. Making mathematics meaningful and relevant for students at the developmental and precalculus levels is of special interest to him. He also has a passion for professing mathematics and for communicating the amazing impact that mathematics has on our society.

Terry Krieger has taught mathematics for over fifteen years at the middle school, high school, vocational, community college, and university levels. He graduated summa cum laude from Bemidji State University in Bemidji, Minnesota with a BA in secondary mathematics education. 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. Outside of teaching, Terry enjoys wilderness camping, trout fishing and home improvement projects. His past experiences include running two marathons, climbing Mt. Kilimanjaro, and watching the sunset from the banks of the Nile. He currently resides in Rochester, Minnesota with his wife and family. Terry has been involved with various aspects of mathematics textbook publication for more than ten years.

Caracteristici

NEW! A Look Into Math introduces each section with a real-world application of the math topic students are about to learn.
NEW! Real-World Connection notes expand on specific math topics and their connections to the everyday world.
NEW! “Now Try” Exercises follow every example, allowing students to immediately reinforce the concepts as they are reading.
Applications and Models are woven into both the discussions and the exercises, helping students become more effective problem solvers.
Theextensive exercise sets are further enhanced by several special types of exercises that appear throughout the text:
- Checking Basic Concepts exercises appear after every other section and can be used for individual or group review. These exercises require 10 — 20 minutes to complete and are also appropriate for in-class work.
- Group Activities: Working with Real Data–this feature occurs about twice per chapter, and provides an opportunity for students to work collaboratively on a problem that involves real data. Most of these activities can be completed with limited use of class time.
- NEW! Thinking Generally exercises appear in most exercise sets and offer open-ended conceptual questions that encourage students to synthesize what they have just learned.
- Extended and Discovery exercises are more advanced exercises at the end of each chapter. These can be assigned for collaborative learning or as homework assignments.
Putting It All Together boxes at the end of each section summarize techniques and reinforce the mathematical concepts presented in the section.
Comprehensive end-of-chapter material serves as an excellent resource for extra practice and test preparation. Each chapter concludes with a Chapter Summary, a recap of the chapter’s Important Terms,Chapter Review Exercises, a Chapter Test, Extended and Discovery Exercises, andCumulative Review Exercises (now available at the end of every chapter)..
NEW! ThePass the Test CD, included with each new copy of the textbook, has been developed to help your students succeed in the course. The following resources are specifically designed to help your students prepare for tests:
- Chapter Test Solutions on Video
- Vocabulary Flashcards
- “Tips for Time Management” Video
- Spanish Glossary
Making Connections features occur throughout the text and help students see how previous concepts are related to new concepts.
Critical Thinking notes ask students to extend a mathematical concept beyond what has already been discussed.
Graphing calculator technology is used as appropriate to demonstrate numerical/graphical approaches to solving problems. These features are optional and may be skipped with no loss of comprehension.
Optional Technology Notes appear throughout the text offering students guidance, suggestions, and cautions on the use of the graphing calculator.

Caracteristici noi

New and Updated Features:

More than 650 new exercises, including additional graphing calculator exercises.
More than 50 new examples have been added, many of them multi-part, with an emphasis on solving word problems, factoring, and radicals.
A Look Into Math introduces each section with a real-world application of the math students are about to learn.
Real-World Connection notes expand on specific math topics and their connections to the everyday world.
Expanded Cumulative Review exercise sets now appear in every chapter after Chapter 2, offering more opportunities for students to review skills and concepts from multiple sections, improving their mastery of the material.
Updated design includes many new photos and a greater use of color to make the text more visually appealing to students.
Updated applications throughout the text, including Chapter Openers, list the latest data and include new applications that are relevant to today’s students, such as iPods, global warming, and video games.

New Student and Instructor Resources:

ThePass the Test CD, included with each new copy of the student text, has been developed to help your students succeed in the course. The following resources are specifically designed to help your students prepare for tests:
- Chapter Test Solutions on Video
- Vocabulary Flashcards
- “Tips for Time Management” Video
- Spanish Glossary
Worksheets for Classroom or Lab Practice offer extra practice exercises for every section of the text, with ample space for students to show their work. The worksheets list the learning objectives and key vocabulary terms for every text section and provide extra vocabulary practice.

New and Updated in MyMathLab:

Exercise coverage has been substantially increased over the previous edition.
“Translating Word Problems” Activities help students build equations from word problems.
All content from the Pass the Test CD is also available in MyMathLab: chapter test solutions on video, electronic vocabulary flashcards, tips for time management, and an interactive Spanish glossary.
All lectures from the Video Lectures on CD/DVD are also available in MyMathLab.
Video Lectures can be downloaded as podcasts from MyMathLab, and can be played on a computer or on a video-capable iPod.

Content Updates:

Chapter 1: Starting with this chapter, hundreds of applications involving data have been updated throughout the text to make it even more current for students. In this chapter, more examples and exercises have been added that increase student skills and understanding about fractions, absolute values, and powers of positive and negative of integers.
Chapter 2: Throughout this text there is increased emphasis on having students distinguish between expressions and equations. The number and variety of application problems have been expanded in Section 2.3. An optional introduction to interval notation now appears.
Chapter 3: Interpretation of graphical and numerical data is expanded throughout this chapter. In Section 3.4, new questions and examples that ask students to interpret slope and intercepts of a graph have been added.
Chapter 4: Additional examples and exercises appear throughout this chapter. More emphasis has been given to identifying both the solution to a system of linear equations and the solution to a related application.
Chapter 5: New exercises that give students skills to simplify both exponential expressions and products of polynomials now appear.
Chapter 6: A new section summarizes factoring techniques and gives students practice factoring a variety of polynomials in the same section. New examples and exercises that require factoring out the greatest common factor first are also included. Additional examples of factoring by grouping and identifying prime trinomials now appear.
Chapter 7: A new subsection helps students distinguish between rational expressions and rational equations. Additional explanations and exercises make it easier for students to simplify complex fractions and solve rational equations. More explanation and exercises covering both direct and inverse variation appear.
Chapter 8: A new optional subsection allows students to graph equations containing basic radical expressions. More examples and applications have been included.
Chapter 9: A new section introduces the important concept of a function in a simple, clear way. More examples, exercises, and applications involving quadratic equations also appear.

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