Elementary and Intermediate Algebra: A Unified Approach with MathZone
2nd Edition
Published on 16. April 2004
Book
1024 pages
978-0-07-301648-1 (ISBN)
Description
A Unified Text That Serves Your Needs. Most colleges offering elementary and intermediate algebra use two different texts, one for each course. As a result, students may be required to purchase two texts; this can result in a considerable amount of topic overlap. Over the last few years, several publishers have issued "combined" texts that take chapters from two texts and merge them into a single book. This has allowed students to purchase a single text, but it has done little to reduce the overlap. The goal of this author team has been to produce a text that was more than a combined text. They wanted to unify the topics and themes of beginning and intermediate algebra in a fluid, non-repetitive text. We also wanted to produce a text that will prepare students from different mathematical backgrounds for college algebra. We believe we have accomplished our goals. For students entering directly from an arithmetic or pre-algebra course, this is a text that contains all of the material needed to prepare for college algebra. It can be offered in two quarters or in two semesters. The new Review Chapter found between chapters 6 and 7 serves as a mid-book review for students preparing to take a final exam that covers the first seven chapters. Finally, we have produced a text that will accommodate those students placing into the second term of a two-term sequence. Here is where the Review Chapter is most valuable. It gives the students an opportunity to check that they have all of the background required to begin in Chapter 7. If the students struggle with any of the material in the Review Chapter, they are referred to the appropriate section for further review.
More details
Edition
2nd edition
Language
English
Place of publication
United States
Publishing group
McGraw-Hill Education - Europe
Dimensions
Height: 262 mm
Width: 208 mm
Thickness: 41 mm
Weight
2279 gr
ISBN-13
978-0-07-301648-1 (9780073016481)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
Don began teaching in a preschool while he was an undergraduate. He subsequently taught children with disabilities, adults with disabilities, high school mathematics, and college mathematics. Although each position offered different challenges, it was always breaking a challenging lesson into teachable components that he most enjoyed.
It was at Clackamas Community College that he found his professional niche. The community college allowed him to focus on teaching within a department that constantly challenged faculty and students to expect more. Under the guidance of Jim Streeter, Don learned to present his approach to teaching in the form of a textbook. Don has also been an active member of many professional organizations. He has been president of ORMATYC, AMATYC committee chair, and ACM curriculum committee member. He has presented at AMATYC, ORMATYC, AACC, MAA, ICTCM, and a variety of other conferences.
Above all, he encourages you to be involved, whether as a teacher or as a learner. Whether discussing curricula at a professional meeting or homework in a cafeteria, it is the process of communicating an idea that helps one to clarify it.
Barry has enjoyed teaching mathematics to a wide variety of students over the years. He began in the fi eld of adult basic education and moved into the teaching of high school mathematics in 1977. He taught high school math for 11 years, at which point he served as a K-12 mathematics specialist for his county. This work allowed him the opportunity to help promote the emerging NCTM standards in his region.
In 1990, Barry began the next portion of his career, having been hired to teach at Clackamas Community College. He maintains a strong interest in the appropriate use of technology and visual models in the learning of mathematics.
Throughout the past 32 years, Barry has played an active role in professional organizations. As a member of OCTM, he contributed several articles and activities to the groups journal. He has presented at AMATYC, OCTM, NCTM, ORMATYC, and ICTCM conferences. Barry also served 4 years as an offi cer of ORMATYC and participated on an AMATYC committee to provide feedback to revisions of NCTMs standards.
It was at Clackamas Community College that he found his professional niche. The community college allowed him to focus on teaching within a department that constantly challenged faculty and students to expect more. Under the guidance of Jim Streeter, Don learned to present his approach to teaching in the form of a textbook. Don has also been an active member of many professional organizations. He has been president of ORMATYC, AMATYC committee chair, and ACM curriculum committee member. He has presented at AMATYC, ORMATYC, AACC, MAA, ICTCM, and a variety of other conferences.
Above all, he encourages you to be involved, whether as a teacher or as a learner. Whether discussing curricula at a professional meeting or homework in a cafeteria, it is the process of communicating an idea that helps one to clarify it.
Barry has enjoyed teaching mathematics to a wide variety of students over the years. He began in the fi eld of adult basic education and moved into the teaching of high school mathematics in 1977. He taught high school math for 11 years, at which point he served as a K-12 mathematics specialist for his county. This work allowed him the opportunity to help promote the emerging NCTM standards in his region.
In 1990, Barry began the next portion of his career, having been hired to teach at Clackamas Community College. He maintains a strong interest in the appropriate use of technology and visual models in the learning of mathematics.
Throughout the past 32 years, Barry has played an active role in professional organizations. As a member of OCTM, he contributed several articles and activities to the groups journal. He has presented at AMATYC, OCTM, NCTM, ORMATYC, and ICTCM conferences. Barry also served 4 years as an offi cer of ORMATYC and participated on an AMATYC committee to provide feedback to revisions of NCTMs standards.
Content
0 Prealgebra Review0.1 A Review of Fractions0.2 Real Numbers0.3 Adding and Subtracting Real Numbers0.4 Multiplying and Dividing Real Numbers0.5 Exponents and Order of Operation
1 From Arithmetic to Algebra1.1 Transition to Algebra1.2 Evaluating Algebraic Expressions1.3 Adding and Subtracting Algebraic Expressions1.4 Sets
2 Equations and Inequalities2.1 Solving Equations by Adding and Subtracting2.2 Solving Equations by Multiplying and Dividing2.3 Combining the Rules to Solve Equations2.4 Literal Equations and Their Applications2.5 Solving Linear Inequalities Using Addition2.6 Solving Linear Inequalities Using Multiplication2.7 Solving Absolute Value Equations (Optional)2.8 Solving Absolute Value Inequalities (Optional)
3 Graphs and Linear Equations3.1 Solutions of Equations in Two Variables3.2 The Cartesian Coordinate System3.3 The Graph of a Linear Equation3.4 The Slope of a Line3.5 Forms of Linear Equations
4 Exponents and Polynomials4.1 Positive Integer Exponents4.2 Zero and Negative Exponents and Scientific Notation4.3 Introduction to Polynomials4.4 Addition and Subtraction of Polynomials4.5 Multiplication of Polynomials and Special Products4.6 Division of Polynomials
5 A Beginning Look at Functions5.1 Relations and Functions5.2 Tables and Graphs5.3 Algebra of Functions5.4 Composition of Functions
6 Factoring Polynomials6.1 An Introduction to Factoring6.2 Factoring Special Polynomials6.3 Factoring Trinomials: The ac method6.3* Factoring Trinomials: Trial and Error6.4 Solving Quadratic Equations by Factoring6.5 Problem Solving with Factoring6.6 A General Strategy for Factoring
R A Review of Elementary AlgebraR.1 From Arithmetic to AlgebraR.2 Equations and InequalitiesR.3 Graphs and Linear EquationsR.4 Exponents and PolynomialsR.5 A Beginning Look at FunctionsR.6 Factoring Polynomials
7 Rational Expressions7.1 Simplifying Rational Expressions7.2 Multiplication and Division of Rational Expressions7.3 Addition and Subtraction of Rational Expressions7.4 Complex Fractions7.5 Solving Rational Expressions7.6 Solving Rational Inequalities7.7 Rational Functions
8 Systems of Linear Equations and Inequalities8.1 Solving Systems of Linear Equations by Graphing8.2 Systems of Equations in Two Variables with Applications8.3 Systems of Linear Equations in Three Variables8.4 Matrices (Optional)8.5 Graphing Linear Inequalities in Two Variables8.6 Systems of Linear Inequalities in Two Variables
9 Graphical Solutions9.1 Solving Equations in One Variable Graphically9.2 Solving Linear Inequalities in One Variable Graphically9.3 Solving Absolute Value Equations Graphically 9.4 Solving Absolute Value Inequalities Graphically
10 Radicals and Exponents10.1 Roots and Radicals10.2 Simplifying Radical Expressions10.3 Operations on Radical Expressions10.4 Solving Radical Equations10.5 Rational Exponents10.6 Complex Numbers
11 Quadratic Functions11.1 Solving Quadratic Equations by Completing the Square11.2 The Quadratic Formula11.3 Solving Quadratic Equations by Graphing11.4 Solving Quadratic Inequalities
12 Conic Sections12.1 More on the Parabola12.2 The Circle12.3 Ellipses12.4 Hyperbolas
13 Exponential and Logarithmic Functions13.1 Inverse Relations and Functions13.2 Exponential Functions13.3 Logarithmic Functions13.4 Properties of Logarithms13.5 Logarithmic and Exponential EquationsAppendix AAppendix A.1 Determinants and Cramer's Rule
1 From Arithmetic to Algebra1.1 Transition to Algebra1.2 Evaluating Algebraic Expressions1.3 Adding and Subtracting Algebraic Expressions1.4 Sets
2 Equations and Inequalities2.1 Solving Equations by Adding and Subtracting2.2 Solving Equations by Multiplying and Dividing2.3 Combining the Rules to Solve Equations2.4 Literal Equations and Their Applications2.5 Solving Linear Inequalities Using Addition2.6 Solving Linear Inequalities Using Multiplication2.7 Solving Absolute Value Equations (Optional)2.8 Solving Absolute Value Inequalities (Optional)
3 Graphs and Linear Equations3.1 Solutions of Equations in Two Variables3.2 The Cartesian Coordinate System3.3 The Graph of a Linear Equation3.4 The Slope of a Line3.5 Forms of Linear Equations
4 Exponents and Polynomials4.1 Positive Integer Exponents4.2 Zero and Negative Exponents and Scientific Notation4.3 Introduction to Polynomials4.4 Addition and Subtraction of Polynomials4.5 Multiplication of Polynomials and Special Products4.6 Division of Polynomials
5 A Beginning Look at Functions5.1 Relations and Functions5.2 Tables and Graphs5.3 Algebra of Functions5.4 Composition of Functions
6 Factoring Polynomials6.1 An Introduction to Factoring6.2 Factoring Special Polynomials6.3 Factoring Trinomials: The ac method6.3* Factoring Trinomials: Trial and Error6.4 Solving Quadratic Equations by Factoring6.5 Problem Solving with Factoring6.6 A General Strategy for Factoring
R A Review of Elementary AlgebraR.1 From Arithmetic to AlgebraR.2 Equations and InequalitiesR.3 Graphs and Linear EquationsR.4 Exponents and PolynomialsR.5 A Beginning Look at FunctionsR.6 Factoring Polynomials
7 Rational Expressions7.1 Simplifying Rational Expressions7.2 Multiplication and Division of Rational Expressions7.3 Addition and Subtraction of Rational Expressions7.4 Complex Fractions7.5 Solving Rational Expressions7.6 Solving Rational Inequalities7.7 Rational Functions
8 Systems of Linear Equations and Inequalities8.1 Solving Systems of Linear Equations by Graphing8.2 Systems of Equations in Two Variables with Applications8.3 Systems of Linear Equations in Three Variables8.4 Matrices (Optional)8.5 Graphing Linear Inequalities in Two Variables8.6 Systems of Linear Inequalities in Two Variables
9 Graphical Solutions9.1 Solving Equations in One Variable Graphically9.2 Solving Linear Inequalities in One Variable Graphically9.3 Solving Absolute Value Equations Graphically 9.4 Solving Absolute Value Inequalities Graphically
10 Radicals and Exponents10.1 Roots and Radicals10.2 Simplifying Radical Expressions10.3 Operations on Radical Expressions10.4 Solving Radical Equations10.5 Rational Exponents10.6 Complex Numbers
11 Quadratic Functions11.1 Solving Quadratic Equations by Completing the Square11.2 The Quadratic Formula11.3 Solving Quadratic Equations by Graphing11.4 Solving Quadratic Inequalities
12 Conic Sections12.1 More on the Parabola12.2 The Circle12.3 Ellipses12.4 Hyperbolas
13 Exponential and Logarithmic Functions13.1 Inverse Relations and Functions13.2 Exponential Functions13.3 Logarithmic Functions13.4 Properties of Logarithms13.5 Logarithmic and Exponential EquationsAppendix AAppendix A.1 Determinants and Cramer's Rule