Intermediate Algebra for College Students

<p>1. Basic Concepts </p> <p>1.1 Study Skills for Success in Mathematics, and Using a Calculator</p> <p>1.2 Sets and Other Basic Concepts</p> <p>1.3 Properties of and Operations with Real Numbers</p> <p>1.4 Order of Operations</p> <p>1.5 Exponents</p> <p>1.6 Scientific Notation</p> <p>&nbsp;</p> <p>2. Equations and Inequalities </p> <p>2.1 Solving Linear Equations</p> <p>2.2 Problem Solving and Using Formulas</p> <p>2.3 Applications of Algebra</p> <p>2.4 Additional Application Problems</p> <p>2.5 Solving Linear Inequalities</p> <p>2.6 Solving Equations and Inequalities Containing Absolute Values</p> <p>&nbsp;</p> <p>3. Graphs and Functions </p> <p>3.1 Graphs</p> <p>3.2 Functions</p> <p>3.3 Linear Functions: Graphs and Applications</p> <p>3.4 The Slope-Intercept Form of a Linear Equation </p> <p>3.5 The Point-Slope Form of a Linear Equation</p> <p>3.6 The Algebra of Functions</p> <p>3.7 Graphing Linear Inequalities</p> <p>&nbsp;</p> <p>4. Systems of Equations and Inequalities </p> <p>4.1 Solving Systems of Linear Equations in Two Variables</p> <p>4.2 Solving Systems of Linear Equations in Three Variables</p> <p>4.3 Systems of Linear Equations: Applications and Problem Solving </p> <p>4.4 Solving Systems of Equations Using Matrices</p> <p>4.5 Solving Systems of Equations Using Determinants and Cramer’s Rule</p> <p>4.6 Solving Systems of Linear Inequalities</p> <p>&nbsp;&nbsp; </p> <p>5. Polynomials and Polynomial Functions </p> <p>5.1 Addition and Subtraction of Polynomials</p> <p>5.2 Multiplication of Polynomials</p> <p>5.3 Division of Polynomials and Synthetic Division</p> <p>5.4 Factoring a Monomial from a Polynomial and Factoring by Grouping</p> <p>5.5 Factoring Trinomials</p> <p>5.6 Special Factoring Formulas</p> <p>5.7 A General Review of Factoring</p> <p>5.8 Polynomial Equations</p> <p>&nbsp;</p> <p>6. Rational Expressions and Equations </p> <p>6.1 The Domains of Rational Functions and Multiplication and Division of Rational&nbsp;Expressions<br>6.2 Addition and Subtraction of Rational Expressions<br>6.3 Complex Fractions </p> <p>6.4 Solving Rational Equations</p> <p>6.5 Rational Equations: Applications and Problem Solving<br>6.6 Variation<br><br>7. Roots, Radicals, and Complex Numbers </p> <p>7.1 Roots and Radicals</p> <p>7.2 Rational Exponents</p> <p>7.3 Simplifying Radicals</p> <p>7.4 Adding, Subtracting, and Multiplying Radicals</p> <p>7.5 Dividing Radicals</p> <p>7.6 Solving Radical Equations</p> <p>7.7 Complex Numbers</p> <p>&nbsp;</p> <p>8. Quadratic Functions</p> <p>8.1 Solving Quadratic Equations by Completing the Square</p> <p>8.2 Solving Quadratic Equations by the Quadratic Formula</p> <p>8.3 Quadratic Equations: Applications and Problem Solving</p> <p>8.4 Writing Equations in Quadratic Form</p> <p>8.5 Graphing Quadratic Functions</p> <p>8.6 Quadratic and Other Inequalities in One Variable</p> <p>&nbsp;</p> <p>9. Exponential and Logarithmic Functions</p> <p>9.1 Composite and Inverse Functions</p> <p>9.2 Exponential Functions</p> <p>9.3 Logarithmic Functions</p> <p>9.4 Properties of Logarithms</p> <p>9.5 Common Logarithms</p> <p>9.6 Exponential and Logarithmic Equations</p> <p>9.7 Natural Exponential and Natural Logarithmic Functions</p> <p>&nbsp;&nbsp;</p> <p>10. Sequences, Series, and the Binomial Theorem</p> <p>10.1 Sequences and Series</p> <p>10.2 Arithmetic Sequences and Series</p> <p>10.3 Geometric Sequences and Series</p> <p>10.4 The Binomial Theorem </p> <p>&nbsp;</p> <p>11. Conic Sections</p> <p>11.1 The Parabola and the Circle</p> <p>11.2 The Ellipse</p> <p>11.3 The Hyperbola</p> <p>10.4 Nonlinear Systems of Equations and Their Applications</p>