Synopses & Reviews
Elementary & Intermediate Algebra, 4/e by Baratto/Bergman is part of the latest offerings in the successful Streeter-Hutchison Series in Mathematics. The fourth edition continues the hallmark approach of encouraging the learning of mathematics by focusing its coverage on mastering math through practice. This worktext seeks to provide carefully detailed explanations and accessible pedagogy to introduce beginning and intermediate algebra concepts and put the content in context. The authors use a three-pronged approach (I. Communication, II. Pattern Recognition, and III. Problem Solving) to present the material and stimulate critical thinking skills. Items such as Math Anxiety boxes, Check Yourself exercises, and Activities represent this approach and the underlying philosophy of mastering math through practice. The exercise sets have been expanded, organized, and clearly labeled. Vocational and professional-technical exercises have been added throughout. Repeated exposure to this consistent structure should help advance the student's skills in relating to mathematics. The book is designed for a combined beginning and intermediate algebra course, or it can be used across two courses, and is appropriate for lecture, learning center, laboratory, or self-paced courses. It is accompanied by numerous useful supplements, including McGraw-Hill's online homework management system, MathZone.
Synopsis
Encouraging the learning of mathematics by focusing its coverage on mastering math through practice, this text seeks to provide carefully detailed explanations and accessible pedagogy to introduce beginning and intermediate algebra concepts and put the content in context.
About the Author
Stefan began teaching math and science in New York City middle schools. He also taught math at the University of Oregon, Southeast Missouri State University, and York County Technical College. Currently, Stefan is a member of the mathematics faculty at Clackamas Community College where he has found a niche, delighting in the CCC faculty, staff, and students. Stefans own education includes the University of Michigan (BGS, 1988), Brooklyn College (CUNY), and the University of Oregon (MS, 1996).
Stefan is currently serving on the AMATYC Executive Board as the organizations Northwest Vice President. He has also been involved with ORMATYC, NEMATYC, NCTM, and the State of Oregon Math Chairs group, as well as other local organizations. He has applied his knowledge of math to various fi elds, using statistics, technology, and web design. More personally, Stefan and his wife, Peggy, try to spend time enjoying the wonders of Oregon and the Pacifi c Northwest. Their activities include scuba diving, self-defense training, and hiking. 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.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.
Table of Contents
0 Prealgebra Review
0.1 A Review of Fractions
0.2 Real Numbers
0.3 Adding and Subtracting Real Numbers
0.4 Multiplying and Dividing Real Numbers
0.5 Exponents and Order of Operation
1 From Arithmetic to Algebra
1.1 Transition to Algebra
1.2 Evaluating Algebraic Expressions
1.3 Adding and Subtracting Algebraic Expressions
1.4 Sets
2 Functions and Graphs
2.1 Solving Equations by Adding and Subtracting
2.2 Solving Equations by Multiplying and Dividing
2.3 Combining the Rules to Solve Equations
2.4 Literal Equations and Their Applications
2.5 Solving Linear Inequalities Using Addition
2.6 Solving Linear Inequalities Using Multiplication
2.7 Solving Absolute Value Equations (Optional)
2.8 Solving Absolute Value Inequalities (Optional)
3 Graphing Linear Functions
3.1 Solutions of Equations in Two Variables
3.2 The Cartesian Coordinate System
3.3 The Graph of a Linear Equation
3.4 The Slope of a Line
3.5 Forms of Linear Equations
3.6 Graphing Linear Inequalities in Two Variables
4 Systems of Linear Equations
4.1 Positive Integer Exponents
4.2 Zero and Negative Exponents and Scientific Notation
4.3 Introduction to Polynomials
4.4 Addition and Subtraction of Polynomials
4.5 Multiplication of Polynomials and Special Products
4.6 Division of Polynomials
5 Exponents and Polynomials
5.1 An Introduction to Factoring
5.2 Factoring Special Polynomials
5.3* Factoring Trinomials: Trial and Error
5.4 Factoring Trinomials: The ac method
5.5 Strategies in Factoring
5.6 Solving Quadratic Equations by Factoring
5.7 Problem Solving with Factoring
R A Review of Elementary Algebra
R.1 From Arithmetic to Algebra
R.2 Equations and Inequalities
R.3 Graphs and Linear Equations
R.4 Exponents and Polynomials
R.5 A Beginning Look at Functions
R.6 Factoring Polynomials
6 Factoring Polynomials
6.1 Relations and Functions
6.2 Tables and Graphs
6.3 Algebra of Functions
6.4 Composition of Functions
6.5 Substitution and Synthetic Division
7 Radicals and Exponents
7.1 Simplifying Rational Expressions
7.2 Multiplication and Division of Rational Expressions
7.3 Addition and Subtraction of Rational Expressions
7.4 Complex Fractions
7.5 Solving Rational Expressions
7.6 Solving Rational Inequalities
8 Quadratic Functions
8.1 Solving Systems of Linear Equations by Graphing
8.2 Systems of Equations in Two Variables with Applications
8.3 Systems of Linear Equations in Three Variables
8.4 Systems of Linear Inequalities in Two Variables
8.5 Matrices (Optional)
9 Rational Expressions
9.1 Solving Equations in One Variable Graphically
9.2 Solving Linear Inequalities in One Variable Graphically
9.3 Solving Absolute Value Equations Graphically
9.4 Solving Absolute Value Inequalities Graphically
10 Exponential and Logarithmic Functions
10.1 Roots and Radicals
10.2 Simplifying Radical Expressions
10.3 Operations on Radical Expressions
10.4 Solving Radical Equations
10.5 Rational Exponents
10.6 Complex Numbers
11 Quadratic Functions
11.1 Solving Quadratic Equations by Completing the Square
11.2 The Quadratic Formula
11.3 An Introduction to the Parabola
11.4 Solving Quadratic Inequalities
12 Conic Sections
12.1 Conic Sections and the Circle
12.2 Ellipses
12.3 Hyperbolas
13 Exponential and Logarithmic Functions
13.1 Inverse Relations and Functions
13.2 Exponential Functions
13.3 Logarithmic Functions
13.4 Properties of Logarithms
13.5 Logarithmic and Exponential Equations
Appendix A
Appendix A.1 Determinants and Cramer's Rule