Elementary and Intermediate Algebra Concepts and Applications

by Bittinger, Marvin L.; Ellenbogen, David J.; Johnson, Barbara L.

• ISBN13: 9780134462967
• ISBN10: 0134462963
• Edition: 7th
• Copyright: 2017-01-10
• Publisher: PEARSO
• More Book Details

Summary

For courses in Beginning & Intermediate Algebra.

 

Understanding and Applying Mathematical Concepts

The goal of the Bittinger Concepts and Applications Series is to help today’s student learn and retain mathematical concepts. This proven program prepares students for the transition from skills-oriented elementary algebra courses to more concept-oriented  college-level mathematics courses. This requires the development of critical-thinking skills: to reason mathematically, to communicate mathematically, and to identify and solve mathematical problems. The new editions support students with a tightly integrated MyLab™ Math course; a strong focus on problem-solving, applications, and concepts, and the robust MyMathGuide workbook and objective-based video program. In addition, new material—developed as a result of the authors’ experience in the classroom, as well as from insights from faculty and students—includes more systematic review and preparation for practice, as well as stronger focus on real-world applications.

 

Also available with MyLab Math.

MyLab™ Math 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.

Note: You are purchasing a standalone product; MyLab^™ does not come packaged with this content. Students, if interested in purchasing this title with MyLab, 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 both the physical text and MyLab, search for:

 

0134772342 / 9780134772349 Elementary & Intermediate Algebra: Concepts & Applications Plus MyLab Math -- Title-Specific Access Card Package, 7/e

 

Package consists of:   

• 013446270X / 9780134462707 Elementary and Intermediate Algebra: Concepts & Applications
• 0134762614 / 9780134762616 MyLab Math with Pearson eText -- Standalone Access Card -- for Elementary and Intermediate Algebra: Concepts & Applications

Author Biography

Barbara Johnson has a BS in mathematics from Bob Jones University and a MS in mathematics from Clemson University, and she is currently pursuing a PhD in Educational Studies at Ball state University. She has taught high school and college math for 30 years, and she 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 is also a student of karate.

Marvin Bittinger has taught math at the university level for more than thirty-eight years, and he is now professor emeritus of mathematics education at Indiana University-Purdue University. Professor Bittinger has authored numerous textbooks 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. His hobbies include hiking in Utah, baseball, golf, and bowling. Professor Bittinger has also had the privilege of speaking at many mathematics conventions, most recently giving a lecture entitled "Baseball and Mathematics." 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.

Table of Contents

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

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

2.4 Applications with Percent

2.5 Problem Solving

2.6 Solving Inequalities

2.7 Solving Applications with Inequalities

 

3. Introduction to Graphing

3.1 Reading Graphs, Plotting Points, and Scaling Graphs

3.2 Graphing Linear Equations

3.3 Graphing and Intercepts

3.4 Rates

3.5 Slope

3.6 Slope-Intercept Form

3.7 Point–Slope Form and Equations of Lines

 

4. Polynomials

4.1 Exponents and Their Properties

4.2 Negative Exponents and Scientific Notation

4.3 Polynomials

4.4 Addition and Subtraction of Polynomials

4.5 Multiplication of Polynomials

4.6 Special Products

 

4.7 Polynomials in Several Variables

4.8 Division of Polynomials

 

5. Polynomials and Factoring

5.1 Introduction to Factoring

5.2 Factoring Trinomials of the Type x²+bx+c

5.3 Factoring Trinomials of the Type ax²+bx+c

5.4 Factoring Perfect-Square Trinomials and Differences of Squares

5.5 Factoring Sums or Differences of Cubes

5.6 Factoring: A General Strategy

5.7 Solving Quadratic Equations by Factoring

5.8 Solving Applications

 

6. Rational Expression and Equations

6.1 Rational Expressions

6.2 Multiplication and Division

6.3 Addition, Subtraction, and Least Common Denominators

6.4 Addition and Subtraction with Unlike Denominators

6.5 Complex Rational Expressions

6.6 Rational Equations

6.7 Applications Using Rational Equations and Proportions

 

7. Functions and Graphs

7.1 Introduction to Functions

7.2 Domain and Range

7.3 Graphs of Functions

7.4 The Algebra of Functions

7.5 Formulas, Applications, and Variation

 

8. Systems of Linear Equations and Problem Solving

8.1 Systems of Equations in Two Variables

8.2 Solving by Substitution or Elimination

8.3 Solving Applications: Systems of Two Equations

8.4 Systems of Equations in Three Variables

8.5 Solving Applications: Systems of Three Equations

8.6 Elimination Using Matrices

8.7 Determinants and Cramer’s Rule

8.8 Business and Economics Applications

 

9. Inequalities and Problem Solving

9.1 Inequalities and Applications

9.2 Intersections, Unions, and Compound Inequalities

9.3 Absolute-Value Equations and Inequalities

9.4 Inequalities in Two Variables

9.5 Applications Using Linear Programming

 

10. Exponents and Radicals

10.1 Radical Expressions and Functions

10.2 Rational Numbers as Exponents

10.3 Multiplying Radical Expressions

10.4 Dividing Radical Expressions

10.5 Expressions Containing Several Radical Terms

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

11.6 Quadratic Functions and Their Graphs

11.7 More About Graphing Quadratic Functions

11.8 Problem Solving and Quadratic Functions

11.9 Polynomial Inequalities and Rational Inequalities

 

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

12.5 Common Logarithms and Natural Logarithms

12.6 Solving Exponential Equations and Logarithmic Equations

12.7 Applications of Exponential Functions and Logarithmic Functions

 

13. Conic Sections

13.1 Conic Sections: Parabolas and Circles

13.2 Conic Sections: Ellipses

13.3 Conic Sections: Hyperbolas

13.4 Nonlinear Systems of Equations

 

14. Sequences, Series, and the Binomial Theorem

14.1 Sequences and Series

14.2 Arithmetic Sequences and Series

14.3 Geometric Sequences and Series

14.4 The Binomial Theorem

 

R. Elementary Algebra Review

R.1 Introduction to Algebraic Expressions

R.2 Equations, Inequalities, and Problem Solving

R.3 Introduction to Graphing

R.4 Polynomials

R.5 Polynomials and Factoring

R6. Rational Expressions and Equations

 

Appendix A. Mean, Median, and Mode

Appendix B. Sets

Appendix C. Synthetic Division and the Remainder Theorem