Intermediate Algebra
2nd Edition
Published on 13. June 2002
Book
Paperback/Softback
992 pages
978-0-13-067667-2 (ISBN)
Description
For courses in Intermediate Algebra.
The engaging Martin-Gay workbook series presents a student-friendly approach to the concepts of basic math and algebra, giving students ample opportunity to practice skills and see how those skills relate to both their lives and the real world. The goals of the worktexts are to build confidence, increase motivation, and encourage mastery of basic skills and concepts. Martin-Gay ensures that students have the most up-to-date, relevant text preparation for their next math course; enhances students' perception of math by exposing them to real-life situations through graphs and applications; and ensures that students have an organized, integrated learning system at their fingertips. The integrated learning resources program features text-specific supplements including Martin-Gay's acclaimed tutorial videotapes, CD videos, and MathPro 5.
The engaging Martin-Gay workbook series presents a student-friendly approach to the concepts of basic math and algebra, giving students ample opportunity to practice skills and see how those skills relate to both their lives and the real world. The goals of the worktexts are to build confidence, increase motivation, and encourage mastery of basic skills and concepts. Martin-Gay ensures that students have the most up-to-date, relevant text preparation for their next math course; enhances students' perception of math by exposing them to real-life situations through graphs and applications; and ensures that students have an organized, integrated learning system at their fingertips. The integrated learning resources program features text-specific supplements including Martin-Gay's acclaimed tutorial videotapes, CD videos, and MathPro 5.
More details
Edition
2nd edition
Language
English
Place of publication
United States
Publishing group
Pearson Education (US)
Target group
College/higher education
Dimensions
Width: 277 mm
Thickness: 28 mm
Weight
1810 gr
ISBN-13
978-0-13-067667-2 (9780130676672)
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
Other editions
Previous edition
Person
K. Elayn Martin-Gay has taught mathematics at the University of New Orleans for more than 20 years and has received numerous teaching awards including the local University Alumni Association's Award for Excellence in Teaching.
Over the years, Elayn has developed a videotaped lecture series to help her students understand algebra better. This highly successful video material is the basis for her books: Basic College Mathematics, Second Edition; Prealgebra, Third Edition; Introductory Algebra, Second Edition; Intermediate Algebra, Second Edition; Algebra A Combined Approach, Second Edition; and her hardback series: Beginning Algebra, Third Edition; Intermediate Algebra, Third Edition; Beginning and Intermediate Algebra, Second Edition; and Intermediate Algebra: A Graphing Approach, Second Edition.
Over the years, Elayn has developed a videotaped lecture series to help her students understand algebra better. This highly successful video material is the basis for her books: Basic College Mathematics, Second Edition; Prealgebra, Third Edition; Introductory Algebra, Second Edition; Intermediate Algebra, Second Edition; Algebra A Combined Approach, Second Edition; and her hardback series: Beginning Algebra, Third Edition; Intermediate Algebra, Third Edition; Beginning and Intermediate Algebra, Second Edition; and Intermediate Algebra: A Graphing Approach, Second Edition.
Content
1. Real Numbers and Algebraic Expressions.
Tips for Success in Mathematics. Algebraic Expressions and Sets of Numbers. Properties of Real Numbers. Operations on Real Numbers. Order of Operations and Algebraic Expressions. Exponents and Scientific Notation. More Work with Exponents and Scientific Notation.
2. Equations, Inequalities, and Problem Solving.
Linear Equations in One Variable. An Introduction to Problem Solving. Formulas and Problem Solving. Linear Inequalities and Problem Solving. Sets and Compound Inequalities. Absolute Value Equations and Inequalities.
3. Graphs and Functions.
Graphing Linear Equations. The Slope of a Line. The Slope-Intercept Form. More Equations of Lines. Introduction to Functions. Graphing Linear Inequalities.
4. Systems of Equations and Inequalities.
Solving Systems of Linear Equations in Two Variables. Solving Systems of Linear Equations in Three Variables. Systems of Linear Equations and Problem Solving. Solving Systems of Equations Using Matrices. Systems of Linear Inequalities.
5. Polynomials and Polynomial Functions.
Adding and Subtracting Polynomials. Multiplying Polynomials. Dividing Polynomials. The Greatest Common Factor and Factoring by Grouping. Factoring Trinomials. Factoring by Special Products. Solving Equations by Factoring and Solving Problems. An Introduction to Graphing Polynomial Functions.
6. Rational Expressions.
Multiplying and Dividing Rational Expressions. Adding and Subtracting Rational Expressions. Simplifying Complex Fractions. Solving Equations Containing Rational Expressions. Rational Equations and Problem Solving. Variation and Problem Solving.
7. Rational Exponents, Radicals, and Complex Numbers.
Radical Expressions. Rational Exponents. Simplifying Radical Expressions. Adding, Subtracting, and Multiplying Radical Expressions. Rationalizing Numerators and Denominators of Radical Expressions. Radical Equations and Problem Solving. Complex Numbers.
8. Quadratic Equations and Functions.
Solving Quadratic Equations by Completing the Square. Solving Quadratic Equations by the Quadratic Formula. Solving Equations by Using Quadratic Methods. Nonlinear Inequalities in One Variable. Quadratic Functions and Their Graphs. Further Graphing of Quadratic Functions.
9. Conic Sections.
The Parabola and the Circle. The Ellipse and the Hyperbola. Graphing Nonlinear Functions. Solving Nonlinear Systems of Equations. Nonlinear Inequalities and Systems of Inequalities.
10. Exponential and Logarithmic Functions.
The Algebra of Functions. Inverse Functions. Exponential Functions. Logarithmic Functions. Properties of Logarithms. Common Logarithms, Natural Logarithms, and Changes of Base. Exponential and Logarithmic Equations and Problem Solving.
Appendix: Solving Systems of Equations Using Determinants.
Tips for Success in Mathematics. Algebraic Expressions and Sets of Numbers. Properties of Real Numbers. Operations on Real Numbers. Order of Operations and Algebraic Expressions. Exponents and Scientific Notation. More Work with Exponents and Scientific Notation.
2. Equations, Inequalities, and Problem Solving.
Linear Equations in One Variable. An Introduction to Problem Solving. Formulas and Problem Solving. Linear Inequalities and Problem Solving. Sets and Compound Inequalities. Absolute Value Equations and Inequalities.
3. Graphs and Functions.
Graphing Linear Equations. The Slope of a Line. The Slope-Intercept Form. More Equations of Lines. Introduction to Functions. Graphing Linear Inequalities.
4. Systems of Equations and Inequalities.
Solving Systems of Linear Equations in Two Variables. Solving Systems of Linear Equations in Three Variables. Systems of Linear Equations and Problem Solving. Solving Systems of Equations Using Matrices. Systems of Linear Inequalities.
5. Polynomials and Polynomial Functions.
Adding and Subtracting Polynomials. Multiplying Polynomials. Dividing Polynomials. The Greatest Common Factor and Factoring by Grouping. Factoring Trinomials. Factoring by Special Products. Solving Equations by Factoring and Solving Problems. An Introduction to Graphing Polynomial Functions.
6. Rational Expressions.
Multiplying and Dividing Rational Expressions. Adding and Subtracting Rational Expressions. Simplifying Complex Fractions. Solving Equations Containing Rational Expressions. Rational Equations and Problem Solving. Variation and Problem Solving.
7. Rational Exponents, Radicals, and Complex Numbers.
Radical Expressions. Rational Exponents. Simplifying Radical Expressions. Adding, Subtracting, and Multiplying Radical Expressions. Rationalizing Numerators and Denominators of Radical Expressions. Radical Equations and Problem Solving. Complex Numbers.
8. Quadratic Equations and Functions.
Solving Quadratic Equations by Completing the Square. Solving Quadratic Equations by the Quadratic Formula. Solving Equations by Using Quadratic Methods. Nonlinear Inequalities in One Variable. Quadratic Functions and Their Graphs. Further Graphing of Quadratic Functions.
9. Conic Sections.
The Parabola and the Circle. The Ellipse and the Hyperbola. Graphing Nonlinear Functions. Solving Nonlinear Systems of Equations. Nonlinear Inequalities and Systems of Inequalities.
10. Exponential and Logarithmic Functions.
The Algebra of Functions. Inverse Functions. Exponential Functions. Logarithmic Functions. Properties of Logarithms. Common Logarithms, Natural Logarithms, and Changes of Base. Exponential and Logarithmic Equations and Problem Solving.
Appendix: Solving Systems of Equations Using Determinants.