College algebra / Julie Miller and Donna Gerken

Includes index.

College Algebra 2eChapter R: Review of PrerequisitesSection R.1 Sets and the Real Number LineSection R.2 Integer Exponents and Scientific NotationSection R.3 Rational Exponents and RadicalsSection R.4 Polynomials and Multiplication of RadicalsProblem Recognition Exercises: Simplifying Algebraic ExpressionsSection R.5 FactoringSection R.6 Rational Expressions and More Operations on RadicalsAlgebra for CalculusChapter 1: Equations and InequalitiesSection 1.1 Linear Equations and Rational EquationsSection 1.2 Applications with Linear and Rational EquationsSection 1.3 Complex NumbersSection 1.4 Quadratic EquationsProblem Recognition Exercises: Simplifying Expressions Versus Solving EquationsSection 1.5 Applications of Quadratic EquationsSection 1.6 More Equations and ApplicationsSection 1.7 Linear, Compound, and Absolute Value InequalitiesProblem Recognition Exercises: Recognizing and Solving Equations and InequalitiesEquations and Inequalities for CalculusChapter 2: Functions and RelationsSection 2.1 The Rectangular Coordinate System and Graphing UtilitiesSection 2.2 CirclesSection 2.3 Functions and RelationsSection 2.4 Linear Equations in Two Variables and Linear FunctionsSection 2.5 Applications of Linear Equations and ModelingProblem Recognition Exercises: Comparing Graphs of EquationsSection 2.6 Transformations of GraphsSection 2.7 Analyzing Graphs of Functions and Piecewise-Defined FunctionsSection 2.8 Algebra of Functions and Function CompositionChapter 3: Polynomial and Rational FunctionsSection 3.1 Quadratic Functions and ApplicationsSection 3.2 Introduction to Polynomial FunctionsSection 3.3 Division of Polynomials and the Remainder and Factor TheoremsSection 3.4 Zeros of PolynomialsSection 3.5 Rational FunctionsProblem Recognition Exercises: Polynomial and Rational FunctionsSection 3.6 Polynomial and Rational InequalitiesProblem Recognition Exercises: Solving Equations and InequalitiesSection 3.7 VariationChapter 4: Exponential and Logarithmic FunctionsSection 4.1 Inverse FunctionsSection 4.2 Exponential FunctionsSection 4.3 Logarithmic FunctionsProblem Recognition Exercises: Analyzing FunctionsSection 4.4 Properties of LogarithmsSection 4.5 Exponential and Logarithmic Equations and ApplicationsSection 4.6 Modeling with Exponential and Logarithmic FunctionsChapter 5: Systems of Equations and InequalitiesSection 5.1 Systems of Linear Equations in Two Variables and ApplicationsSection 5.2 Systems of Linear Equations in Three Variables and ApplicationsSection 5.3 Partial Fraction DecompositionSection 5.4 Systems of Nonlinear Equations in Two VariablesSection 5.5 Inequalities and Systems of Inequalities in Two VariablesProblem Recognition Exercises: Equations and Inequalities in Two VariablesSection 5.6 Linear ProgrammingChapter 6: Matrices and Determinants and ApplicationsSection 6.1 Solving Systems of Linear Equations Using MatricesSection 6.2 Inconsistent Systems and Dependent EquationsSection 6.3 Operations on MatricesSection 6.4 Inverse Matrices and Matrix EquationsSection 6.5 Determinants and Cramer's RuleProblem Recognition Exercises: Using Multiple Methods to Solve Systems of Linear EquationsChapter 7: Analytic GeometrySection 7.1 The EllipseSection 7.2 The HyperbolaSection 7.3 The ParabolaProblem Recognition Exercises: Comparing Equations of Conic Sections and the General EquationChapter 8: Sequences, Series, Induction, and ProbabilitySection 8.1 Sequences and SeriesSection 8.2 Arithmetic Sequences and SeriesSection 8.3 Geometric Sequences and SeriesProblem Recognition Exercises: Comparing Arithmetic and Geometric Sequences and SeriesSection 8.4 Mathematical InductionSection 8.5 The Binomial TheoremSection 8.6 Principles of CountingSection 8.7 Introduction to ProbabilityAppendix A: Additional Topics Appendix (Online only)

When Julie Miller began writing her successful developmental math series, one of her primary goals was to bridge the gap between preparatory courses and college algebra. For thousands of students, the Miller/O’Neill/Hyde (or M/O/H) series has provided a solid foundation in developmental mathematics. With the Miller College Algebra series, Julie has carried forward her clear, concise writing style; highly effective pedagogical features; and complete author-created technological package to students in this course area. The main objectives of the college algebra series are three-fold: •Provide students with a clear and logical presentation of the basic concepts that will prepare them for continued study in mathematics. •Help students develop logical thinking and problem-solving skills that will benefit them in all aspects of life. •Motivate students by demonstrating the significance of mathematics in their lives through practical applications.