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College Algebra: Graphs & Models
College Algebra: Graphs & Models

College Algebra: Graphs & Models, 1st Edition

ISBN10: 0073519545 | ISBN13: 9780073519548
By John Coburn, J.D. (John) Herdlick and ALEKS Corporation
© 2012

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* The estimated amount of time this product will be on the market is based on a number of factors, including faculty input to instructional design and the prior revision cycle and updates to academic research-which typically results in a revision cycle ranging from every two to four years for this product. Pricing subject to change at any time.

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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.

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 Relations

1.2: Functions, Function Notation, and the Graph of a Function

1.3: Linear Equations and Rates of Change

1.4: Linear Functions, Special Forms, and More on Rates of Change

1.5: Solving Equations and Inequalities Graphically; Formulas and Problem Solving

1.6: 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


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

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About the Author

John Coburn

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.

J.D. (John) Herdlick


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