简介
Miller/O'Neill Beginning Algebra is an insightful text written by instructors who have first-hand experience with students of developmental mathematics. The authors have placed an emphasis on graphing, by including special sections called, "Connections to Graphing" at the end of Chapters 1-5, before the formal presentation of Graphing appears in Chapter 6. The "Connections to Graphing" sections may be considered optional for those instructors who do not prefer an early introduction to graphing. For those who do prefer graphing early, instructors can use the "Connections to Graphing" sections together where they prefer to introduce graphing. A section on geometry appears in "Chapter R" for instructors who look for such content in Beginning Algebra. Applications that incorporate geometric concepts may also be found throughout the text. Chapter R also contains a section on study skills. This section provides easy to digest tips (in list format) for course success. The authors have crafted the exercise sets with the idea of infusing review. In each set of practice exercises, instructors will find a set of exercises that help students to review concepts previously learned, and in this way, students will retain more of what they have learned. The exercise sets also contain "translation" exercises which provide students with an opportunity to convert from English phrases to mathematical symbols and from mathematical symbols to English phrases, thus helping students to strengthen their command of mathematical language. Moreover, the applications found in the exercise sets are based on real-world data, which helps to promote students' interest in mathematics, and in turn, may serve to motivate and engage them more effectively. Other features include mid-chapter reviews and classroom activities. The classroom activities are of special value, in that through their use, students may begin to take greater ownership over their learning. The classroom activities were designed to be quick activities students could perform in class (either individually, or collaboratively in groups). In short, the Miller/O'Neill Beginning Algebra text offers enriching applications, a high level of readability, and excellent opportunities for students to become actively engaged in their exploration of mathematics.
目录
Reference
Study Tips
Fractions
Decimals and Percents
Introduction to Geometry
Set of Real Numbers
Sets of Numbers and the Real Number Line
Order of Operations
Addition of Real Numbers
Subtraction of Real Numbers
Multiplication and Division of Real Numbers
Properties of Real Numbers and Simplifying Expressions
Linear Equations and Inequalities
Addition, Subtraction, Multiplication and Division Properties of Equality
Solving Linear Equations
Linear Equations: Clearing Fractions and Decimals
Applications of Linear Equations: Introduction to Problem Solving
Applications Involving Percents
Formulas and Applications of Geometry
Linear Inequalities
Graphing Linear Equations in Two Variables
Rectangular Coordinate System
Linear Equations in Two Variables
Slope of a Line
Slope-Intercept Form of a Line
Point-Slope Formula
Applications of Linear Equations
Systems of Linear Equations and Inequalities in Two Variables
Solving Systems of Equations by the Graphing Method
Solving Systems of Equations by the Substitution Method
Solving Systems of Equations by the Addition Method
Applications of Linear Equations in Two Variables
Linear Inequalities in Two Variables
Systems of Linear Inequalities in Two Variables
Polynomials and Properties of Exponents
Exponents: Multiplying and Dividing Common Bases
More Properties of Exponents
Definitions of b^0 and b^-n
Scientific Notation
Addition and Subtraction of Polynomials
Multiplication of Polynomials
Division of Polynomials
Factoring Polynomials
Greatest Common Factor and Factoring by Grouping
Factoring Trinomials of the Form x^2+ bx+ c(optional)
Factoring Trinomials: Trial-and-Error Method
Factoring Trinomials: AC Method
Factoring Binomials
General Factoring Summary
Solving Equations Using the Zero Product Rule
Rational Expressions
Introduction to Rational Expressions
Multiplication and Division of Rational Expressions
Least Common Denominator
Addition and Subtraction of Rational Expressions
Complex Fractions
Rational Equations
Applications of Rational Equations and Proportions
Variations
Radicals
Introducion to Roots and Radicals
Simplifying Radicals
Addition and Subtraction of Radicals
Multiplication of Radicals
Rationalization
Radical Equations
Exponents
Functions, Complex Numbers, and Quadratic Equations
Introduction to Functions
Complex Numbers
The Square Root Property and Completing the Square
Quadratic Formula
Graphing Quadratic Functions
Study Tips
Fractions
Decimals and Percents
Introduction to Geometry
Set of Real Numbers
Sets of Numbers and the Real Number Line
Order of Operations
Addition of Real Numbers
Subtraction of Real Numbers
Multiplication and Division of Real Numbers
Properties of Real Numbers and Simplifying Expressions
Linear Equations and Inequalities
Addition, Subtraction, Multiplication and Division Properties of Equality
Solving Linear Equations
Linear Equations: Clearing Fractions and Decimals
Applications of Linear Equations: Introduction to Problem Solving
Applications Involving Percents
Formulas and Applications of Geometry
Linear Inequalities
Graphing Linear Equations in Two Variables
Rectangular Coordinate System
Linear Equations in Two Variables
Slope of a Line
Slope-Intercept Form of a Line
Point-Slope Formula
Applications of Linear Equations
Systems of Linear Equations and Inequalities in Two Variables
Solving Systems of Equations by the Graphing Method
Solving Systems of Equations by the Substitution Method
Solving Systems of Equations by the Addition Method
Applications of Linear Equations in Two Variables
Linear Inequalities in Two Variables
Systems of Linear Inequalities in Two Variables
Polynomials and Properties of Exponents
Exponents: Multiplying and Dividing Common Bases
More Properties of Exponents
Definitions of b^0 and b^-n
Scientific Notation
Addition and Subtraction of Polynomials
Multiplication of Polynomials
Division of Polynomials
Factoring Polynomials
Greatest Common Factor and Factoring by Grouping
Factoring Trinomials of the Form x^2+ bx+ c(optional)
Factoring Trinomials: Trial-and-Error Method
Factoring Trinomials: AC Method
Factoring Binomials
General Factoring Summary
Solving Equations Using the Zero Product Rule
Rational Expressions
Introduction to Rational Expressions
Multiplication and Division of Rational Expressions
Least Common Denominator
Addition and Subtraction of Rational Expressions
Complex Fractions
Rational Equations
Applications of Rational Equations and Proportions
Variations
Radicals
Introducion to Roots and Radicals
Simplifying Radicals
Addition and Subtraction of Radicals
Multiplication of Radicals
Rationalization
Radical Equations
Exponents
Functions, Complex Numbers, and Quadratic Equations
Introduction to Functions
Complex Numbers
The Square Root Property and Completing the Square
Quadratic Formula
Graphing Quadratic Functions
Beginning algebra /
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