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Table of Contents
(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.
Operations on Real Numbers.
Exponents, Roots, and Order of Operations.
Properties of Real Numbers.
2. Linear Equations and Applications.
Applications of Linear Equations.
Further Applications of Linear Equations.
Summary Exercises on Solving Applied Problems.
3. Linear Inequalities and Absolute Value.
Set Operations and Compound Inequalities.
Absolute Value Equations and Inequalities.
Summary Exercises on Solving Linear and Absolute Value Equations and Inequalities.
4. Graphs, Linear Equations, and Functions.
Linear Equations in Two Variables.
Linear Inequalities in Two Variables.
Introduction to Functions.
5. Systems of Linear Equations.
Linear Systems of Equations in Three Variables.
Applications of Linear Systems of Equations.
Solving Linear Systems of Equations by Matrix Methods.
6. Exponents and Polynomials.
Adding and Subtracting Polynomials; Polynomial Functions.
Greatest Common Factors; Factoring by Grouping.
Summary Exercises on Factoring.
Solving Equations by Factoring.
7. Rational Expressions.
Adding and Subtracting Rational Expressions.
Graphs and Equations with Rational Expressions.
Summary Exercises on Operations and Equations with Rational Expressions.
Applications of Rational Expressions.
8. Roots and Radicals.
Simplifying Radical Expressions.
Adding and Subtracting Radical Expressions.
Multiplying and Dividing Radical Expressions.
Equations with Radical Expressions.
9. Quadratic Equations, Inequalities, and Graphs.
The Quadratic Formula.
Equations Quadratic in Form.
Formulas and Further Applications.
Graphs of Quadratic Functions.
More About Parabolas; Applications.
Quadratic and Rational Inequalities.
10. Exponential and Logarithmic Functions.
Properties of Logarithms.
Common and Natural Logarithms.
Exponential and Logarithmic Equations; Applications.
11. Nonlinear Functions, Conic Sections, and Nonlinear Systems.
The Circle and the Ellipse.
The Hyperbola, and Other Functions Defined by Radicals.
Nonlinear Systems of Equations.
Second-Degree Inequalities; Systems of Inequalities.
B. Determinants and Cramer's Rule.
Answers to Selected Exercises.