Intermediate Algebra
Graphs and Models
Inbunden, Engelska, 2011
3 909 kr
Finns i fler format (1)
Produktinformation
- Utgivningsdatum2011-06-23
- Mått220 x 285 x 40 mm
- Vikt2 144 g
- SpråkEngelska
- Antal sidor960
- Upplaga4
- FörlagPearson Education (US)
- EAN9780321725554
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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 B.S. in mathematics from Bob Jones University and a M.S. 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.
- Preface 1. Basics of Algebra and Graphing1.1 Some Basics of Algebra1.2 Operations with Real Numbers1.3 Equivalent Algebraic Expressions1.4 Exponential Notation and Scientific NotationMid-Chapter Review1.5 Graphs1.6 Solving Equations and Formulas1.7 Introduction to Problem Solving and ModelsSummary and ReviewTest 2. Functions, Linear Equations, and Models2.1 Functions2.2 Linear Functions: Slope, Graphs, and Models2.3 Another Look at Linear Graphs2.4 Introduction to Curve Fitting: Point-Slope FormMid-Chapter Review2.5 The Algebra of FunctionsSummary and ReviewTest 3. Systems of Linear Equations and Problem Solving3.1 Systems of Equations in Two Variables3.2 Solving by Substitution or Elimination3.3 Solving Applications: Systems of Two EquationsMid-Chapter Review3.4 Systems of Equations in Three Variables3.5 Solving Applications: Systems of Three Equations3.6 Elimination Using Matrices3.7 Determinants and Cramer's Rule3.8 Business and Economics ApplicationsSummary and ReviewTest Cumulative Review: Chapters 1—3 4. Inequalities4.1 Inequalities and Applications4.2 Solving Equations and Inequalities by Graphing4.3 Intersections, Unions, and Compound Inequalities4.4 Absolute-Value Equations and InequalitiesMid-Chapter Review4.5 Inequalities in Two VariablesSummary and ReviewTest 5. Polynomials and Polynomial Functions5.1 Introduction to Polynomials and Polynomial Functions5.2 Multiplication of Polynomials5.3 Polynomial Equations and Factoring5.4 Trinomials of the Type x2 + bx + c5.5 Trinomials of the Type ax2 + bx + c5.6 Perfect-Square Trinomials and Differences of Squares5.7 Sums or Differences of CubesMid-Chapter Review5.8 Applications of Polynomial EquationsSummary and ReviewTest 6. Rational Expressions, Equations, and Functions6.1 Rational Expressions and Functions: Multiplying and Dividing6.2 Rational Expressions and Functions: Adding and Subtracting6.3 Complex Rational ExpressionsMid-Chapter Review6.4 Rational Equations6.5 Applications Using Rational Equations6.6 Division of Polynomials6.7 Synthetic Division6.8 Formulas, Applications, and VariationSummary and ReviewTest Cumulative Review: Chapters 1—6 7. Exponents and Radical Functions7.1 Radical Expressions, Functions, and Models7.2 Rational Numbers as Exponents7.3 Multiplying Radical Expressions7.4 Dividing Radical Expressions7.5 Expressions Containing Several Radical TermsMid-Chapter Review7.6 Solving Radical Equations7.7 The Distance Formula, the Midpoint Formula, and Other Applications7.8 The Complex NumbersSummary and ReviewTest 8. Quadratic Functions and Equations8.1 Quadratic Equations8.2 The Quadratic Formula8.3 Studying Solutions of Quadratic Equations8.4 Studying Solutions of Quadratic Equations8.5 Equations Reducible to QuadraticMid-Chapter Review8.6 Quadratic Functions and Their Graphs8.7 More About Graphing Quadratic Functions8.8 Problem Solving and Quadratic Functions8.9 Polynomial Inequalities and Rational InequalitiesSummary and ReviewTest 9. Exponential Functions and Logarithmic Functions9.1 Composite Functions and Inverse Functions9.2 Exponential Functions9.3 Logarithmic Functions9.4 Properties of Logarithmic FunctionsMid-Chapter Review9.5 Natural Logarithms and Changing Bases9.6 Solving Exponential and Logarithmic Equations9.7 Applications of Exponential and Logarithmic FunctionsSummary and ReviewTest Cumulative Review: Chapters 1—9 10. Conic Sections10.1 Conic Sections: Parabolas and Circles10.2 Conic Sections: Ellipses10.3 Conic Sections: HyperbolasMid-Chapter Review10.4 Nonlinear Systems of EquationsSummary and ReviewTest 11. Sequences, Series, and the Binomial Theorem11.1 Sequences and Series11.2 Arithmetic Sequences and Series11.3 Geometric Sequences and SeriesMid-Chapter Review11.4 The Binomial TheoremSummary and ReviewTest Cumulative Review: Chapters 1-11 AnswersGlossaryPhoto CreditsIndexIndex of Applications