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Elementary and Intermediate Algebra Marvin Bittinger

Elementary and Intermediate Algebra By Marvin Bittinger

Elementary and Intermediate Algebra by Marvin Bittinger


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Elementary and Intermediate Algebra Summary

Elementary and Intermediate Algebra: Concepts and Applications by Marvin Bittinger

The Bittinger Concepts and Applications Program delivers proven pedagogy, guiding students from skills-based math to the concepts-oriented math required for college courses.

About Marvin Bittinger

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.

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

Additional information

CIN0321848748A
9780321848741
0321848748
Elementary and Intermediate Algebra: Concepts and Applications by Marvin Bittinger
Used - Well Read
Hardback
Pearson Education (US)
20130227
1120
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
This is a used book. We do our best to provide good quality books for you to read, but there is no escaping the fact that it has been owned and read by someone else previously. Therefore it will show signs of wear and may be an ex library book

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