Description
Book SynopsisWhen 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/OâNeill/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.
Table of Contents
College Algebra Essentials 1eChapter R: Review of PrerequisitesSection R.1 Sets and the Real Number LineSection R.2 Models, Algebraic Expressions, and Properties of Real NumbersSection R.3 Integer Exponents and Scientific NotationSection R.4 Rational Exponents and RadicalsSection R.5 Polynomials and Multiplication of Radicals
Problem Recognition Exercises: Simplifying Algebraic Expressions
Section R.6 FactoringSection R.7 Rational Expressions and More Operations on RadicalsChapter 1: Equations and InequalitiesSection 1.1 Linear Equations and Rational EquationsSection 1.2 Applications and Modeling with Linear EquationsSection 1.3 Complex NumbersSection 1.4 Quadratic Equations
Problem Recognition Exercises: Simplifying Expressions versus Solving Equations
Section 1.5 Applications of Quadratic EquationsSection 1.6 More Equations and ApplicationsSection 1.7 Linear Inequalities and Compound InequalitiesSection 1.8 Absolute Value Equations and Inequalities
Problem Recognition Exercises: Recognizing and Solving Equations and Inequalities
Chapter 2: Functions and GraphsSection 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 Modeling
Problem Recognition Exercises: Comparing Graphs of Equations
Section 2.6 Transformation of GraphsSection 2.7 Analyzing Graphs of Functions and Piecewise-Defined FunctionsSection 2.8 The Algebra of FunctionsChapter 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 Functions
Problem Recognition Exercises: Polynomial and Rational Functions
Section 3.6 Polynomial and Rational Inequalities
Problem Recognition Exercises: Solving Equations and Inequalities
Section 3.7 VariationChapter 4: Exponential and Logarithmic FunctionsSection 4.1 Inverse FunctionsSection 4.2 Exponential FunctionsSection 4.3 Logarithmic Functions
Problem Recognition Exercises: Analyzing Functions
Section 4.4 Properties of LogarithmsSection 4.5 Exponential and Logarithmic EquationsSection 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 Variables
Problem Recognition Exercises: Equations and Inequalities in Two Variables
Section 5.6 Linear Programming
