Intermediate Algebra For College Students

<ol> <li><strong>Basic Concepts</strong> <ul> <li>1.1 Study Skills for Success in Mathematics, and Using a Calculator</li> <li>1.2 Sets and Other Basic Concepts</li> <li>1.3 Properties of and Operations with Real Numbers</li> <li>1.4 Order of Operations <ul> <li>Mid-Chapter Test: Sections 1.1—1.4</li> </ul></li> <li>1.5 Exponents</li> <li>1.6 Scientific Notation</li> </ul></li> <li><strong>Equations and Inequalities</strong> <ul> <li>2.1 Solving Linear Equations</li> <li>2.2 Problem Solving and Using Formulas</li> <li>2.3 Applications of Algebra <ul> <li>Mid-Chapter Test: Sections 2.1—2.3</li> </ul></li> <li>2.4 Additional Application Problems</li> <li>2.5 Solving Linear Inequalities</li> <li>2.6 Solving Equations and Inequalities Containing Absolute Values</li> </ul></li> <li><strong>Graphs and Functions</strong> <ul> <li>3.1 Graphs</li> <li>3.2 Functions</li> <li>3.3 Linear Functions: Graphs and Applications</li> <li>3.4 The Slope-Intercept Form of a Linear Equation <ul> <li>Mid-Chapter Test: Sections 3.1—3.4</li> </ul></li> <li>3.5 The Point-Slope Form of a Linear Equation</li> <li>3.6 The Algebra of Functions</li> <li>3.7 Graphing Linear Inequalities</li> </ul></li> <li><strong>Systems of Equations and Inequalities</strong> <ul> <li>4.1 Solving Systems of Linear Equations in Two Variables</li> <li>4.2 Solving Systems of Linear Equations in Three Variables</li> <li>4.3 Systems of Linear Equations: Applications and Problem Solving <ul> <li>Mid-Chapter Test: Sections 4.1—4.3</li> </ul></li> <li>4.4 Solving Systems of Equations Using Matrices</li> <li>4.5 Solving Systems of Equations Using Determinants and Cramer’s Rule</li> <li>4.6 Solving Systems of Linear Inequalities</li> </ul></li> <li><strong>Polynomials and Polynomial Functions</strong> <ul> <li>5.1 Addition and Subtraction of Polynomials</li> <li>5.2 Multiplication of Polynomials</li> <li>5.3 Division of Polynomials and Synthetic Division</li> <li>5.4 Factoring a Monomial from a Polynomial and Factoring by Grouping <ul> <li>Mid-Chapter Test: Sections 5.1—5.4</li> </ul></li> <li>5.5 Factoring Trinomials</li> <li>5.6 Special Factoring Formulas</li> <li>5.7 A General Review of Factoring</li> <li>5.8 Polynomial Equations</li> </ul></li> <li><strong>Rational Expressions and Equations</strong> <ul> <li>6.1 The Domains of Rational Functions and Multiplication and Division of Rational Expressions</li> <li>6.2 Addition and Subtraction of Rational Expressions</li> <li>6.3 Complex Fractions</li> <li>6.4 Solving Rational Equations <ul> <li>Mid-Chapter Test: Sections 6.1—6.4</li> </ul></li> <li>6.5 Rational Equations: Applications and Problem Solving</li> <li>6.6 Variation</li> </ul></li> <li><strong>Roots, Radicals, and Complex Numbers</strong> <ul> <li>7.1 Roots and Radicals</li> <li>7.2 Rational Exponents</li> <li>7.3 Simplifying Radicals</li> <li>7.4 Adding, Subtracting, and Multiplying Radicals <ul> <li>Mid-Chapter Test: Sections 7.1—7.4</li> </ul></li> <li>7.5 Dividing Radicals</li> <li>7.6 Solving Radical Equations</li> <li>7.7 Complex Numbers</li> </ul></li> <li><strong>Quadratic Functions</strong> <ul> <li>8.1 Solving Quadratic Equations by Completing the Square</li> <li>8.2 Solving Quadratic Equations by the Quadratic Formula</li> <li>8.3 Quadratic Equations: Applications and Problem Solving <ul> <li>Mid-Chapter Test: Sections 8.1—8.3</li> </ul></li> <li>8.4 Writing Equations in Quadratic Form</li> <li>8.5 Graphing Quadratic Functions</li> <li>8.6 Quadratic and Other Inequalities in One Variable</li> </ul></li> <li><strong>Exponential and Logarithmic Functions</strong> <ul> <li>9.1 Composite and Inverse Functions</li> <li>9.2 Exponential Functions</li> <li>9.3 Logarithmic Functions</li> <li>9.4 Properties of Logarithms <ul> <li>Mid-Chapter Test: Sections 9.1—9.4</li> </ul></li> <li>9.5 Common Logarithms</li> <li>9.6 Exponential and Logarithmic Equations</li> <li>9.7 Natural Exponential and Natural Logarithmic Functions</li> </ul></li> <li><strong>Conic Sections</strong> <ul> <li>10.1 The Parabola and the Circle</li> <li>10.2 The Ellipse <ul> <li>Mid-Chapter Test: Sections 10.1—10.2</li> </ul></li> <li>10.3 The Hyperbola</li> <li>10.4 Nonlinear Systems of Equations and Their Applications</li> </ul></li> <li><strong>Sequences, Series, and the Binomial Theorem</strong> <ul> <li>11.1 Sequences and Series</li> <li>11.2 Arithmetic Sequences and Series</li> <li>11.3 Geometric Sequences and Series <ul> <li>Mid-Chapter Test: Sections 11.1—11.3</li> </ul></li> <li>11.4 The Binomial Theorem</li> </ul></li> </ol> <p>Appendix: Geometric Formulas</p>