"Elementary Algebra" offers a practical approach to the study of beginning algebra concepts, consistent with the needs of today's student. The author puts special emphasis on the worked examples in each section, treating them as the primary means of instruction, since students rely so heavily on examples to complete assignments. The applications are also uniquely designed so that students have an experience that is more true to life - students must read information as it appears in a "live" media source and extract only the relevant information needed to solve a stated problem. The unique pedagogy in the text focuses on promoting better study habits and critical thinking skills along with orienting students to think and reason mathematically. Through "Elementary Algebra", students will not only be better prepared for future math courses, they will be better prepared to solve problems and answer questions they encounter in their own lives.
Rezensionen / Stimmen
1. THE REAL NUMBERS. The Real Numbers. Variables and Algebraic Expressions. Problem Solving. Integers, Rational Numbers, and Percent. Units of Measurement and Formulas. Irrational Numbers and Roots. Summary and Review. Test. 2. SOLVING EQUATIONS AND INEQUALITIES. The Properties of Equality. More Equations in One Variable. Variables on Both Sides. Solving an Equation for a Variable. Inequalities in One Variable. Summary and Review. Test. 3. LINEAR EQUATIONS AND INEQUALITIES IN TWO VARIABLES. Linear Equations in Two Variables. Slope. Slope-Intercept Form. Writing the Equation of a Line. Relations and Functions. Linear Inequalities in Two Variables. Summary and Review. Test. Cumulative Review Chapters 1-3. 4. SYSTEMS OF EQUATIONS AND INEQUALITIES. Systems of Linear Equations. The Substitution Method. The Elimination Method. Applications. Systems of Linear Inequalities. Summary and Review. Test. 5. EXPONENTS AND POLYNOMIALS. Exponential Expressions and the Exponent Rules. Scientific Notation. Introduction to Polynomials. Multiplication of Polynomials. Division of Polynomials. Summary and Review. Test. 6. FACTORING POLYNOMIALS. Introduction to Factoring. Factoring Trinomials. Patterns. Factoring Completely. The Zero Product Property. Summary and Review. Test. Cumulative Review Chapters 4-6. 7. RATIONAL EXPRESSIONS AND EQUATIONS. Simplifying Rational Expressions. Multiplication and Division of Rational Expressions. Combining Rational Expressions with the Same Denominator. Combining Rational Expressions with Different Denominators. Complex Rational Expressions. Rational Equations and Proportions. Variation. Summary and Review. Test. 8. RADICAL EXPRESSIONS AND EQUATIONS. Radical Expressions. Adding and Subtracting Radicals. Multiplying and Dividing Radicals. Rational Exponents. Radical Equations. Higher Index Radicals and Imaginary Numbers. Summary and Review. Test. 9. QUADRATIC EQUATIONS. Quadratic Equations in One Variable. Completing the Square. The Quadratic Formula. Quadratic Equations with Non-Real Solutions. Quadratic Equations in Two Variables. Summary and Review. Test. Cumulative Review Chapters 7-9. APPENDIX. A1: Whole Numbers and the Order of Operations. A2: Fractions. A3: Signed Numbers. A4: Graphing Ordered Pairs. A5: Reasonability and Problem Solving. A6: Deriving the Quadratic Formula.
Auflage
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Für höhere Schule und Studium
Maße
Höhe: 269 mm
Breite: 213 mm
Dicke: 27 mm
Gewicht
ISBN-13
978-1-111-57409-3 (9781111574093)
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Schweitzer Klassifikation
Ed Miller is a professor of mathematics at Lewis-Clark State College. He earned his PhD in general topology at Ohio University in 1989. He teaches a wide range of courses, including elementary and intermediate algebra. His terms as chair of the General Education Committee, the Curriculum Committee, and the Division of Natural Sciences and Mathematics have spurred him to look at courses as part of an integrated whole rather than discrete units. A regular presenter at national and regional meetings, Ed is exploring the use of multiple choice questions as a teaching tool as well as an assessment tool. Laura Bracken, co-author of Investigating Prealgebra and Investigating Basic College Mathematics, teaches developmental mathematics at Lewis-Clark State College. As developmental math coordinator, Laura led the process of developing objectives, standardizing assessments, and enforcing placement including a mastery skill quiz program. She has worked collaboratively with science faculty to make connections between developmental math and introductory science courses. Laura has presented at numerous national and regional conferences and currently serves as the regional representative for the AMATYC Placement and Assessment Committee. Her blog, Dev Math Diary, is at http://devmathdiary.wordpress.com/.
1. THE REAL NUMBERS. The Real Numbers. Variables and Algebraic Expressions. Problem Solving. Integers, Rational Numbers, and Percent. Units of Measurement and Formulas. Irrational Numbers and Roots. Summary and Review. Test. 2. SOLVING EQUATIONS AND INEQUALITIES. The Properties of Equality. More Equations in One Variable. Variables on Both Sides. Solving an Equation for a Variable. Inequalities in One Variable. Summary and Review. Test. 3. LINEAR EQUATIONS AND INEQUALITIES IN TWO VARIABLES. Linear Equations in Two Variables. Slope. Slope-Intercept Form. Writing the Equation of a Line. Relations and Functions. Linear Inequalities in Two Variables. Summary and Review. Test. Cumulative Review Chapters 1-3. 4. SYSTEMS OF EQUATIONS AND INEQUALITIES. Systems of Linear Equations. The Substitution Method. The Elimination Method. Applications. Systems of Linear Inequalities. Summary and Review. Test. 5. EXPONENTS AND POLYNOMIALS. Exponential Expressions and the Exponent Rules. Scientific Notation. Introduction to Polynomials. Multiplication of Polynomials. Division of Polynomials. Summary and Review. Test. 6. FACTORING POLYNOMIALS. Introduction to Factoring. Factoring Trinomials. Patterns. Factoring Completely. The Zero Product Property. Summary and Review. Test. Cumulative Review Chapters 4-6. 7. RATIONAL EXPRESSIONS AND EQUATIONS. Simplifying Rational Expressions. Multiplication and Division of Rational Expressions. Combining Rational Expressions with the Same Denominator. Combining Rational Expressions with Different Denominators. Complex Rational Expressions. Rational Equations and Proportions. Variation. Summary and Review. Test. 8. RADICAL EXPRESSIONS AND EQUATIONS. Radical Expressions. Adding and Subtracting Radicals. Multiplying and Dividing Radicals. Rational Exponents. Radical Equations. Higher Index Radicals and Imaginary Numbers. Summary and Review. Test. 9. QUADRATIC EQUATIONS. Quadratic Equations in One Variable. Completing the Square. The Quadratic Formula. Quadratic Equations with Non-Real Solutions. Quadratic Equations in Two Variables. Summary and Review. Test. Cumulative Review Chapters 7-9. APPENDIX. A1: Whole Numbers and the Order of Operations. A2: Fractions. A3: Signed Numbers. A4: Graphing Ordered Pairs. A5: Reasonability and Problem Solving. A6: Deriving the Quadratic Formula.
