College Algebra

Hardcover | January 8, 2009

byJohn Coburn

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Three components contribute to a theme sustained throughout the Coburn Series: that of laying a firm foundation, building a solid framework, and providing strong connections. Not only does Coburn present a sound problem-solving process to teach students to recognize a problem, organize a procedure, and formulate a solution, the text encourages students to see beyond procedures in an effort to gain a greater understanding of the big ideas behind mathematical concepts.

Written in a readable, yet mathematically mature manner appropriate for college algebra level students, Coburn’s College Algebra uses narrative, extensive examples, and a range of exercises to connect seemingly disparate mathematical topics into a cohesive whole. Coburn’s hallmark applications are born out of the author’s extensive experiences in and outside the classroom, and appeal to the vast diversity of students and teaching methods in this course area.

Benefiting from the feedback of hundreds of instructors and students across the country, College Algebra second edition, continues to emphasize connections in order to improve the level of student engagement in mathematics and increase their chances of success in college algebra.

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Three components contribute to a theme sustained throughout the Coburn Series: that of laying a firm foundation, building a solid framework, and providing strong connections. Not only does Coburn present a sound problem-solving process to teach students to recognize a problem, organize a procedure, and formulate a solution, the text e...

Format:HardcoverDimensions:11 × 8.8 × 1.3 inPublished:January 8, 2009Publisher:McGraw-Hill EducationLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0077276493

ISBN - 13:9780077276492

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Table of Contents

Chapter R: A Review of Basic Concepts and Skills

R-1The Language, Notation, and Numbers of Mathematics

R-2Algebraic Expressions and the Properties of Real Numbers

R-3Exponents, Scientific Notation, and a Review of Polynomials

R-4Factoring Polynomials

R-5Rational Expressions

R-6Radicals and Rational Exponents

Chapter 1: Equations and Inequalities

1-1Linear Equations, Formulas, and Problem Solving

1-2Linear Inequalities in One Variable

1-3Absolute Value Equations and Inequalities

1-4Complex Numbers

1-5Solving Quadratic Equations

1-6Solving Other Types of Equation

Chapter 2: Relations, Functions and Graphs

2-1Rectangular Coordinates; Graphing Circles and Relations

2-2Graphs of Linear Equations

2-3Linear Equations and Rates of Change

2-4Functions, Notation, and Graphs of Functions

2-5Analyzing the Graph of a Function

2-6Toolbox Functions and Transformations

2-7Piecewise-Defined Functions

2-8The Algebra and Composition of Functions

Chapter 3: Polynomial and Rational Functions

3-1Quadratic Functions and Applications

3-2Synthetic Division; The Remainder and Factor Theorems

3-3The Zeroes of Polynomial Functions

3-4Graphing Polynomial Functions

3-5Graphing Rational Functions

3-6Additional Insights into Rational Functions

3-7Polynomial and Rational Inequalities

3-8Variation: Function Models in Action

Chapter 4: Exponential and Logarithmic Functions

4-1One-to-One and Inverse Functions

4-2Exponential Functions

4-3Logarithms and Logarithmic Functions

4-4Properties of Logarithms; Solving Exponential and Logarithmic Equations

4-5Applications from Business, Finance, and Science

Chapter 5: Systems of Equations and Inequalities

5-1Linear Systems in Two Variables with Applications

5-2Linear Systems in Three Variables with Applications

5-3Nonlinear Systems of Equations and Inequalities

5-4Systems of Inequalities and Linear Programming

Chapter 6: Matrices and Matrix Applications

6-1Solving Systems Using Matrices and Row Operations

6-2The Algebra of Matrices

6-3Solving Linear Systems Using Matrix Equations

6-4Applications of Matrices and Determinants:

Chapter 7: Analytical Geometry and Conic Sections

7-1Introduction to Analytic Geometry

7-2The Circle and the Ellipse

7-3The Hyperbola

7-4The Analytic Parabola

Chapter 8: Additional Topics in Algebra

8-1Sequences and Series

8-2Arithmetic Sequences

8-3Geometric Sequences

8-4Mathematical Induction

8-5Counting Techniques

8-6Introduction to Probability

8-7The Binomial Theorem

APPENDICES

A-1More on Synthetic Division
A-2More on Matrices
A-3Deriving the Equation of a Conic
A-4Proof Positive - A Selection of Proofs from College Algebra