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For college-level courses on intermediate algebra.
Elayn Martin-Gay's success as a developmental math author and teacher starts with a strong focus on mastering the basics through well-written explanations, innovative pedagogy and a meaningful, integrated program of learning resources. The revisions provide new pedagogy and resources to build student confidence, help students develop basic skills and understand concepts, and provide the highest level of instructor and adjunct support.
Martin-Gay's series is well known and widely praised for an unparalleled ability to:
Martin-Gay believes that every student can:
Martin-Gay believes that every student can succeed, and with each successive edition enhances her pedagogy and learning resources to provide evermore relevant and useful tools to help students and instructors achieve success.
1. Real Numbers And Algebraic Expressions
Tips for Success in Mathematics. Algebraic Expressions and Sets of Numbers. Operations on Real Numbers. Properties of Real Numbers.
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. Compound Inequalities. Absolute Value Equations. Absolute Value Inequalities.
3. Graphs and Functions
Graphing Equations. Introduction to Functions. Graphing Linear Functions. The Slope of a Line. Equations of Lines. Graphing Linear Inequalities.
4. Systems of Equations
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 by Matrices. Solving Systems of Equations by Determinants.
5. Exponents, Polynomials, and Polynomial Functions
Exponents and Scientific Notation. More Work with Exponents and Scientific Notation. Polynomials and Polynomial Functions. Multiplying Polynomials. The Greatest Common Factor and Factoring by Grouping. Factoring Trinomials. Factoring by Special Products. Solving Equations by Factoring and Problem Solving.
6. Rational Expressions
Rational Functions and Multiplying and Dividing Rational Expressions. Adding and Subtracting Rational Expressions. Simplifying Complex Fractions. Dividing Polynomials. Synthetic Division and the Remainder Theorem. Solving Equations Containing Rational Expressions. Rational Equations and Problem Solving. Variation and Problem Solving.
7. Rational Exponents, Radicals, and Complex Numbers
Radicals and Radical Functions. Rational Exponents. Simplifying Radical Expressions. Adding, Subtracting, and Multiplying Radical Expressions. Rationalizing Denominators and Numerators 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. Exponential and Logarithmic Functions
The Algebra of Functions; Composite Functions. Inverse Functions. Exponential Functions. Logarithmic Functions. Properties of Logarithms. Common Logarithms, Natural Logarithms, and Change of Base. Exponential and Logarithmic Equations and Applications.
10. Conic Sections
The Parabola and the Circle. The Ellipse and the Hyperbola. Solving Nonlinear Systems of Equations. Nonlinear Inequalities and Systems of Inequalities.
11. Sequences, Series, and the Binomial Theorem
Sequences. Arithmetic and Geometric Sequences. Series. Partial Sums of Arithmetic and Geometric Sequences. The Binomial Theorem.
For college-level courses on intermediate algebra.
Elayn Martin-Gay's success as a developmental math author and teacher starts with a strong focus on mastering the basics through well-written explanations, innovative pedagogy and a meaningful, integrated program of learning resources. The revisions provide new pedagogy and resources to build student confidence, help students develop basic skills and understand concepts, and provide the highest level of instructor and adjunct support.
Martin-Gay's series is well known and widely praised for an unparalleled ability to:
Martin-Gay believes that every student can:
Martin-Gay believes that every student can succeed, and with each successive edition enhances her pedagogy and learning resources to provide evermore relevant and useful tools to help students and instructors achieve success.
Table of Contents
1. Real Numbers And Algebraic Expressions
Tips for Success in Mathematics. Algebraic Expressions and Sets of Numbers. Operations on Real Numbers. Properties of Real Numbers.
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. Compound Inequalities. Absolute Value Equations. Absolute Value Inequalities.
3. Graphs and Functions
Graphing Equations. Introduction to Functions. Graphing Linear Functions. The Slope of a Line. Equations of Lines. Graphing Linear Inequalities.
4. Systems of Equations
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 by Matrices. Solving Systems of Equations by Determinants.
5. Exponents, Polynomials, and Polynomial Functions
Exponents and Scientific Notation. More Work with Exponents and Scientific Notation. Polynomials and Polynomial Functions. Multiplying Polynomials. The Greatest Common Factor and Factoring by Grouping. Factoring Trinomials. Factoring by Special Products. Solving Equations by Factoring and Problem Solving.
6. Rational Expressions
Rational Functions and Multiplying and Dividing Rational Expressions. Adding and Subtracting Rational Expressions. Simplifying Complex Fractions. Dividing Polynomials. Synthetic Division and the Remainder Theorem. Solving Equations Containing Rational Expressions. Rational Equations and Problem Solving. Variation and Problem Solving.
7. Rational Exponents, Radicals, and Complex Numbers
Radicals and Radical Functions. Rational Exponents. Simplifying Radical Expressions. Adding, Subtracting, and Multiplying Radical Expressions. Rationalizing Denominators and Numerators 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. Exponential and Logarithmic Functions
The Algebra of Functions; Composite Functions. Inverse Functions. Exponential Functions. Logarithmic Functions. Properties of Logarithms. Common Logarithms, Natural Logarithms, and Change of Base. Exponential and Logarithmic Equations and Applications.
10. Conic Sections
The Parabola and the Circle. The Ellipse and the Hyperbola. Solving Nonlinear Systems of Equations. Nonlinear Inequalities and Systems of Inequalities.
11. Sequences, Series, and the Binomial Theorem
Sequences. Arithmetic and Geometric Sequences. Series. Partial Sums of Arithmetic and Geometric Sequences. The Binomial Theorem.