Elementary and Intermediate Algebra (MP) - Brossura

Hutchison, Donald; Baratto, Stefan; Bergman, Barry

Brossura

ISBN 10: 0073309613 ISBN 13: 9780073309613

Casa editrice: McGraw-Hill Education, 2007

Riassunto

Elementary & Intermediate Algebra, 3/e by Baratto/Bergman is part of the latest offerings in the successful Streeter-Hutchison Series in Mathematics. The third 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.

Su questo libro

L'autore:

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.

Contenuti:

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 Equations and Inequalities

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 Graphs and Linear Equations

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 Exponents and Polynomials

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 Factoring 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

6 A Beginning Look at Functions

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

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

7 Rational Expressions

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 Systems of Linear Equations and Inequalities

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 Graphical Solutions

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 Radicals and Exponents

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

Su questa edizione

• Editore: McGraw-Hill Education
• Data di pubblicazione: 2007
• ISBN 10: 0073309613
• ISBN 13: 9780073309613
• Rilegatura: Copertina flessibile
• Numero edizione: 3
• Numero di pagine: 1243