The Lial/Hornsby developmental mathematics paperback series has helped thousands of students succeed in math. In keeping with its proven track record, this revision includes a sharp new design, many new exercises and applications, and several new features to enhance student learning. Among the features added or revised include a new Study Skills Workbook, a Diagnostic Pretest, Chapter Openers, Test Your Word Power, Focus on Real-Data Applications, and increased use of the authors' six-step problem solving process.
(Each Chapter ends with a Summary, Review Exercises and a Chapter Test. With the exception of Chapter 1, each Chapter also ends with a set of cumulative review exercises.).
List of Applications.
An Introduction to Scientific Calculators.
To the Student.
1. Review of the Real Number System.
Basic Concepts. 2. Linear Equations and Applications.
Operations on Real Numbers.
Exponents, Roots, and Order of Operations.
Properties of Real Numbers.
Linear Equations in One Variable. 3. Linear Inequalities and Absolute Value.
Applications of Linear Equations.
Further Applications of Linear Equations.
Summary Exercises on Solving Applied Problems.
Linear Inequalities in One Variable. 4. Graphs, Linear Equations, and Functions.
Set Operations and Compound Inequalities.
Absolute Value Equations and Inequalities.
Summary Exercises on Solving Linear and Absolute Value Equations and Inequalities.
The Rectangular Coordinate System. 5. Systems of Linear Equations.
Linear Equations in Two Variables.
Linear Inequalities in Two Variables.
Introduction to Functions.
Linear Systems of Equations in Two Variables. 6. Exponents and Polynomials.
Linear Systems of Equations in Three Variables.
Applications of Linear Systems of Equations.
Solving Linear Systems of Equations by Matrix Methods.
Integer Exponents and Scientific Notation. 7. Rational Expressions.
Adding and Subtracting Polynomials; Polynomial Functions.
Greatest Common Factors; Factoring by Grouping.
Summary Exercises on Factoring.
Solving Equations by Factoring.
Rational Expressions and Functions; Multiplying and Dividing. 8. Roots and Radicals.
Adding and Subtracting Rational Expressions.
Graphs and Equations with Rational Expressions.
Summary Exercises on Operations and Equations with Rational Expressions.
Applications of Rational Expressions.
Rational Expressions and Graphs. 9. Quadratic Equations, Inequalities, and Graphs.
Simplifying Radical Expressions.
Adding and Subtracting Radical Expressions.
Multiplying and Dividing Radical Expressions.
Equations with Radical Expressions.
The Square Root Property and Completing the Square. 10. Exponential and Logarithmic Functions.
The Quadratic Formula.
Equations Quadratic in Form.
Formulas and Further Applications.
Graphs of Quadratic Functions.
More About Parabolas; Applications.
Quadratic and Rational Inequalities.
Inverse Functions. 11. Nonlinear Functions, Conic Sections, and Nonlinear Systems.
Properties of Logarithms.
Common and Natural Logarithms.
Exponential and Logarithmic Equations; Applications.
Additional Graphs of Functions; Composition. Appendix.
The Circle and the Ellipse.
The Hyperbola, and Other Functions Defined by Radicals.
Nonlinear Systems of Equations.
Second-Degree Inequalities; Systems of Inequalities.
A. Review of Fractions. Answers to Selected Exercises. Index. Videotape Index.
B. Determinants and Cramer's Rule.