College Algebra
Graphs & Models
Published on 25. January 2011
Book
Hardback
992 pages
978-0-07-351954-8 (ISBN)
Description
Three components contribute to a theme sustained throughout the Coburn-Herdlick Series: that of laying a firm foundation, building a solid framework, and providing strong connections. In the Graphs and Models texts, the authors combine their depth of experience with the conversational style and the wealth of applications that the Coburn-Herdlick texts have become known for. By combining a graphical approach to problem solving with algebraic methods, students learn how to relate their mathematical knowledge to the outside world. The authors use technology to solve the more true-to life equations, to engage more applications, and to explore the more substantial questions involving graphical behavior. Benefiting from the feedback of hundreds of instructors and students across the country, College Algebra: Graphs & Models emphasizes connections in order to improve the level of student engagement in mathematics and increase their chances of success in college algebra.
The launch of the Coburn/Herdlick Graphs and Models series provides a significant leap forward in terms of online course management with McGraw-Hill's new homework platform, Connect Math Hosted by ALEKS Corp. Math instructors served as digital contributors to choose the problems that will be available, authoring each algorithm and providing stepped out solutions that go into great detail and are focused on areas where students commonly make mistakes. From there, the ALEKS Corporation reviewed each algorithm to ensure accuracy. A unifying theme throughout the entire process was the involvement of the authors. Through each step, they provided feedback and guidance to the digital contributors to ensure that the content being developed digitally closely matched the textbook. The result is an online homework platform that provides superior content and feedback, allowing students to effectively learn the material being taught.
The launch of the Coburn/Herdlick Graphs and Models series provides a significant leap forward in terms of online course management with McGraw-Hill's new homework platform, Connect Math Hosted by ALEKS Corp. Math instructors served as digital contributors to choose the problems that will be available, authoring each algorithm and providing stepped out solutions that go into great detail and are focused on areas where students commonly make mistakes. From there, the ALEKS Corporation reviewed each algorithm to ensure accuracy. A unifying theme throughout the entire process was the involvement of the authors. Through each step, they provided feedback and guidance to the digital contributors to ensure that the content being developed digitally closely matched the textbook. The result is an online homework platform that provides superior content and feedback, allowing students to effectively learn the material being taught.
More details
Language
English
Place of publication
United States
Publishing group
McGraw-Hill Education - Europe
Product notice
Unsewn / adhesive bound
Paper over boards
Illustrations
3050 Illustrations
Dimensions
Height: 277 mm
Width: 221 mm
Thickness: 36 mm
Weight
2268 gr
ISBN-13
978-0-07-351954-8 (9780073519548)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
John Coburn grew up in the Hawaiian Islands, the seventh of sixteen children. He received his Associate of Arts degree in 1977 from Windward Community College, where he graduated with honors. In 1979 he received a Bachelor's Degree in Education from the University of Hawaii. After being lured into the business world for five years, he returned to his first love, accepting a teaching position in high school mathematics where he was recognized as Teacher of the Year in 1987. Soon afterward, the decision was made to seek a Masters Degree, which he received two years later from the University of Oklahoma. For the last fifteen years, he has been teaching mathematics at the Florissant Valley campus of St. Louis Community College, where he is now a full professor. During his tenure there he has received numerous nominations as an outstanding teacher by the local chapter of Phi Theta Kappa, two nominations to Who's Who Among America's Teachers and was recognized as Teacher of the year in 2004 by the Mathematics Educators of Greater St. Louis (MEGSL). He has made numerous presentations and local, state and national conferences on a wide variety of topics. His other loves include his family, music, athletics, games and all things beautiful, and hopes this love of life comes through in his writing, and serves to make the learning experience an interesting and engaging one for all students.
Content
College Algebra: Graphs & Models Chapter R: A Review of Basic Concepts and Skills R.1: Algebraic Expressions and the Properties of Real Numbers R.2: Exponents, Scientific Notation, and a Review of Polynomials R.3: Solving Linear Equations and Inequalities R.4: Factoring Polynomials and Solving Polynomial Equations by Factoring R.5: Rational Expressions and Equations R.6: Radicals, Rational Exponents, and Radical Equations Chapter 1: Functions and Graphs 1.1: Rectangular Coordinates, Graphing Circles and Other Relations1.2: Functions, Function Notation, and the Graph of a Function 1.3: Linear Equations and Rates of Change1.4: Linear Functions, Special Forms, and More on Rates of Change1.5: Solving Equations and Inequalities Graphically; Formulas and Problem Solving1.6: Linear Models and Real Data Chapter 2: Relations, More on Functions 2.1: Analyzing the Graph of a Function 2.2: The Toolbox Functions and Transformations 2.3: Absolute Value Functions, Equations, and Inequalities 2.4: Rational and Radical Functions; More on the Domain 2.5: Piecewise-Defined Functions 2.6: Variation: The Toolbox Functions in Action Chapter 3: Quadratic Functions and Operations on Functions 3.1: Complex Numbers 3.2: Solving Quadratic Equations and Inequalities 3.3: Quadratic Functions and Applications 3.4: Quadratic Models; More on Rates of Change 3.5: The Algebra of Functions 3.6: Composition of Functions and the Difference Quotient Chapter 4: Polynomial and Rational Functions 4.1: Synthetic Division; the Remainder and Factor Theorems 4.2: The Zeros of Polynomial Functions 4.3: Graphing Polynomial Functions 4.4: Graphing Rational Functions 4.5: Additional Insights into Rational Functions Chapter 5: Exponential and Logarithmic Functions 5.1: One-to-One and Inverse Functions 5.2: Exponential Functions 5.3: Logarithms and Logarithmic Functions 5.4: Properties of Logarithms 5.5: Solving Exponential/Logarithmic Equations 5.6: Applications from Business, Finance, and Science 5.7: Exponential, Logarithmic, and Logistic Equation Models Chapter 6: Systems of Equations and Inequalities 6.1: Linear Systems in Two Variables with Applications 6.2: Linear Systems in Three Variables with Applications 6.3: Nonlinear Systems of Equations and Inequalities 6.4: Systems of Inequalities and Linear Programming Chapter 7: Matrices and Matrix Applications 7.1: Solving Linear Systems Using Matrices and Row Operations 7.2: The Algebra of Matrices 7.3: Solving Linear Systems Using Matrix Equations 7.4: Applications of Matrices and Determinants: Cramer's rule, Partial Fractions, and More 7.5: Matrix Applications and Technology Use Chapter 8: Analytic Geometry and the Conic Sections 8.1: A Brief Introduction to Analytic Geometry 8.2: The Circle and the Ellipse 8.3: The Hyperbola 8.4: The Analytic Parabola: More on Nonlinear Systems Chapter 9: Additional Topics in Algebra 9.1: Sequences and Series 9.2: Arithmetic Sequences 9.3: Geometric Sequences 9.4: Mathematical Induction 9.5: Counting Techniques 9.6: Introduction to Probability 9.7: The Binomial Theorem Appendices The Language, Notation, and Numbers of Mathematics Geometry Review with Unit Conversions More on Synthetic Division More on Matrices Deriving the Equation of a Conic Proof Positive - A Selection of Proofs from College Algebra