Intermediate algebra
著者
書誌事項
Intermediate algebra
Pearson Prentice Hall, c2009
5th ed
- : hbk.
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内容説明・目次
内容説明
Elayn Martin-Gay's developmental math textbooks and video resources are motivated by her firm belief that every student can succeed. Martin-Gay's focus on the student shapes her clear, accessible writing, inspires her constant pedagogical innovations, and contributes to the popularity and effectiveness of her video resources. This revision of Martin-Gay's algebra series continues her focus on students and what they need to be successful. Martin-Gay also strives to provide the highest level of instructor and adjunct support.
目次
- 1. Real Numbers and Algebraic Expressions 1.1 Tips for Success in Mathematics 1.2 Algebraic Expressions and Sets of Numbers 1.3 Operations on Real Numbers Integrated Review - Algebraic Expressions and Operations on Whole Numbers 1.4 Properties of Real Numbers 2. Equations, Inequalities, and Problem Solving 2.1 Linear Equations in One Variable 2.2 An Introduction to Problem Solving 2.3 Formulas and Problem Solving 2.4 Linear Inequalities and Problem Solving Integrated Review - Linear Equations and Inequalities 2.5 Compound Inequalities 2.6 Absolute Value Equations 2.7 Absolute Value Inequalities 3. Graphs and Functions 3.1 Graphing Equations 3.2 Introduction to Functions 3.3 Graphing Linear Functions 3.4 The Slope of a Line 3.5 Equations of Lines Integrated Review - Linear Equations in Two Variables 3.6 Graphing Piecewise-Defined Functions and Shifting and Reflecting Graphs of Functions 3.7 Graphing Linear Inequalities 4. Systems of Linear Equations and Inequalities 4.1 Solving Systems of Linear Equations in Two Variables 4.2 Solving Systems of Linear Equations in Three Variables 4.3 Systems of Linear Equations and Problem Solving Integrated Review - Systems of Linear Equations 4.4 Solving Systems of Equations by Matrices 4.5 Solving Systems of Linear Inequalities 5. Exponents, Polynomials, and Polynomial Functions 5.1 Exponents and Scientific Notation 5.2 More Work with Exponents and Scientific Notation 5.3 Polynomials and Polynomial Functions 5.4 Multiplying Polynomials 5.5 The Greatest Common Factor and Factoring by Grouping 5.6 Factoring Trinomials 5.7 Factoring by Special Products Integrated Review - Operations on Polynomials and Factoring Strategies 5.8 Solving Equations by Factoring and Problem Solving 6. Rational Expressions 6.1 Rational Functions and Multiplying and Dividing Rational Expressions 6.2 Adding and Subtracting Rational Expressions 6.3 Simplifying Complex Fractions 6.4 Dividing Polynomials: Long Divisions and Synthetic Division 6.5 Solving Equations Containing Rational Expressions Integrated Review - Expressions and Equations Containing Rational Expressions 6.6 Rational Equations and Problem Solving 6.7 Variation and Problem Solving 7. Rational Exponents, Radicals, and Complex Numbers 7.1 Radicals and Radical Functions 7.2 Rational Exponents 7.3 Simplifying Radical Expressions 7.4 Adding, Subtracting, and Multiplying Radical Expressions 7.5 Rationalizing Denominators and Numerators of Radical Expressions Integrated Review - Radicals and Rational Exponents 7.6 Radical Equations and Problem Solving 7.7 Complex Numbers 8. Quadratic Equations and Functions 8.1 Solving Quadratic Equations by Completing the Square 8.2 Solving Quadratic Equations by the Quadratic Formula 8.3 Solving Equations by Using Quadratic Methods Integrated Review - Summary on Solving Quadratic Equations 8.4 Nonlinear Inequalities in One Variable 8.5 Quadratic Functions and Their Graphs 8.6 Further Graphing of Quadratic Functions 9. Exponential and Logarithmic Functions 9.1 The Algebra of Functions
- Composite Functions 9.2 Inverse Functions 9.3 Exponential Functions 9.4 Logarithmic Functions 9.5 Properties of Logarithms Integrated Review - Functions and Properties of Logarithms 9.6 Common Logarithms, Natural Logarithms, and Change of Base 9.7 Exponential and Logarithmic Equations and Applications 10. Conic Sections 10.1 The Parabola and the Circle 10.2 The Ellipse and the Hyperbola Integrated Review - Graphing Conic Sections 10.3 Solving Nonlinear Systems of Equations 10.4 Nonlinear Inequalities and Systems of Inequalities 11. Sequences, Series, and the Binomial Theorem 11.1 Sequences 11.2 Arithmetic and Geometric Sequences 11.3 Series Integrated Review - Sequences and Series 11.4 Partial Sums of Arithmetic and Geometric Sequences 11.5 The Binomial Theorem Appendices A. The Bigger Picture/Practice Final Exam B. Geometry C. Stretching and Compressing Graphs of Absolute Value Functions D. Solving Systems of Equations Using Determinants E. An Introduction to Using a Graphing Utility
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