Experiencing Introductory and Intermediate Algebra -- Hardback (2 Rev ed)

Experiencing Introductory and Intermediate Algebra -- Hardback (2 Rev ed)

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  • 製本 Hardcover:ハードカバー版
  • 商品コード 9780130356826

Full Description


For courses in Beginning Algebra, Intermediate Algebra, and Math and Technology.This text bridges the gap between traditional algebra texts and reform texts, written to promote the AMATYC standards published as Crossroads in Mathematics. It provides students with a sound traditional mathematical foundation, fully integrates graphing calculator technology, and encourages computer activities-while still offering choices on the amount of technology instructors wish to use.

Contents

1. Real Numbers. Rational Numbers and the Number Line. Addition and Subtraction. Multiplication and Division. Exponents and Roots. Scientific Notation. Properties of Real Numbers and Order of Operations.2. Variables, Expressions, Equations, and Formulas. Variables and Algebraic Expressions. Simplifying Algebraic Expressions. Equations. Formulas.3. Relations, Functions, and Graphs. Tables of Values, Ordered Pairs, and Relations. Rectangular Coordinate System and Graphing. Functions and Function Notation. Analyzing Graphs.4. Linear Equations in One Variable. Solving Equations Numerically and Graphically. Solving Equations Using Addition and Multiplication. Solving Equation Using a Combination of Properties. Solving Equations and Formulas For a Specified Variable. More Real-World Models. Solving Linear Absolute Value Equations.5. Linear Equations and Functions. Graphing Using Ordered Pairs. Graphing Using the Slope-Intercept Method. Coinciding, Parallel, and Perpendicular Lines. Writing Linear Equations From Given Data.6. Systems of Linear Equations. Solving Systems of Two Equations Graphically. Solving Systems of Two Equations Using Substitution. Solving Systems of Two Equations Using Elimination. More Real-World Models. Solving Systems of Three Equations.7. Linear Inequalities. Introduction to Linear Inequalities. Linear Inequalities in One Variable. Linear Inequalities in Two Variables. Systems of Linear Inequalities in Two Variables.8. Polynomial Functions. Introduction to Polynomials. Polynomial Functions and Their Graphs. Quadratic Functions and Their Graphs. Writing Quadratic Functions.9. Exponents and Polynomials. Operations Involving Nonnegative Exponents. Operations Involving Negative Exponents. Polynomial Addition and Subtraction. Polynomial Multiplication. Polynomial Division.10. Factoring. Greatest Common Factors. Factoring Perfect Square Trinomials, Differences of Squares, and Sums and Differences of Cubes. Factoring Trinomials Using the Trial and Error Method. Factoring Trinomials Using the Grouping Method. General Factoring Strategies.11. Quadratic and Other Polynomial Equations and Inequalities. Solving Equations Numerically and Graphically. Solving Equations Algebraically by Factoring. Solving Quadratic Equations Using Square Roots. Solving Quadratic Equations by Completing the Square. Solving Quadratic Equations Using the Quadratic Formula. More Real-World Models. Solving Quadratic Inequalities.12. Rational Expressions, Functions, and Equations. Rational Expressions and Functions. Multiplication and Division of Rational Expressions. Addition and Subtraction of Rational Expressions. Solving Rational Equations. More Real-World Models.13. Radical Expressions, Functions, and Equations. Radical Expressions, Functions, and Graphs. Rational Exponents. Properties of Rational Exponents. Properties of Radicals. Operations on Radicals. Solving Radical Equations. Equations with Imaginary-Number Solutions.14. Exponential and Logarithmic Functions and Equations. Inverse Functions. Exponential Functions. Logarithmic Functions. Properties of Logarithms. Solving Exponential and Logarithmic Equations.