Algebra with Trigonometry for College Students, 5/e

Algebra with Trigonometry
for College Students, 5/e

Intermediate Algebra

The Digital Video Companion contains more than 60 instructional lectures by the author. It is bundled with a new text at no charge.
Graphing starts early in the book and is contained in almost every chapter.
The review of elementary algebra has been condensed considerably.

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Table of Contents

R. BASIC PROPERTIES AND DEFINITIONS.
Fundamental Definitions and Notation. Properties of Real Numbers. Arithmetic wit h Real Numbers. Exponents and Scientific Notation. Polynomials, Sums, Difference s, and Products. Factoring. Special Factoring. Recognizing Patterns. Summary. Re view. Test. Projects.
1. EQUATIONS AND INEQUALITIES IN ONE VARIABLE.
Linear and Quadratic Equations in One Variable. Formulas. Applications. Linear E qualities in One Variable. Equations with Absolute Value. Inequalities Involving Absolute Value. Summary. Review. Test. Cumulative Review. Projects.
2. EQUATIONS AND INEQUALITIES IN TWO VARIABLES.
Paired Data and the Rectangular Coordinate System. The Slope of a Line. The Equa tion of a Line. Linear Inequalities in Two Variables. Introduction to Functions. Function Notation. Algebra with Functions. Variation. Summary. Review. Test. Cu mulative Review. Projects.
3. SYSTEMS OF LINEAR EQUATIONS AND INEQUALITIES.
Systems of Linear Equations in Two Variables. Systems of Linear Equations in Thr ee Variables. Introduction to Determinants. Cramer’s Rule. Applications. Systems of Linear Inequalities. Summary. Review. Test. Cumulative Review. Projects.
4. RATIONAL EXPRESSIONS AND RATIONAL FUNCTIONS.
Basic Properties and Reducing to Lower Terms. Division of Polynomials. Multiplic ation and Division of Rational Expressions. Complex Fractions. Equations Involvi ng Rational Expressions. Applications. Summary. Review. Test. Cumulative Review. Projects.
5. RATIONAL EXPONENTS AND ROOTS.
Rational Exponents. More Expressions Involving Rational Exponents. Simplified Fo rm for Radicals. Addition and Subtraction of Radical Expressions. Multiplication and Division of Radical Expressions. Equations with Radicals. Complex Numbers. Summary. Review. Test. Cumulative Review. Projects.
6. QUADRATIC FUNCTIONS.
Completing the Square. The Quadratic Formula. Additional Items Involving Solutio ns to Equations. Equations in Quadratic Form. Graphing Parabolas. Quadratic Ineq ualities. Summary. Review. Test. Cumulative Review. Projects.
7. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
Exponential Functions. The Inverse of a Function. Logarithms Are Exponents. Prop erties of Logarithms. Common Logarithms and Natural Logarithms. Exponential Equa tions and Change of Base. Summary. Review. Test. Cumulative Review. Projects.
8. SEQUENCES AND SERIES.
Sequences. Series. Arithmetic Sequences. Geometric Sequences. The Binomial Expan sion . Summary. Review. Test. Cumulative Review. Projects.
9. CONIC SECTIONS.
The Circle. Ellipses and Hyperbolas. Second-Degree Inequalities and Nonlinear Sy stems. Summary. Review. Test. Cumulative Review. Projects.
10. INTRODUCTION TO TRIGONOMETRY.
Degrees, Radians, and Special Triangles. Trigonometric Functions. Trigonometric Functions and Calculators. Graphing 1: Amplitude and Period. Graphing II: Phase Shift. Finding an Equation from Its Graph. Inverse Trigonometric Functions. Sum mary. Review. Test. Cumulative Review. Projects.
11. TRIGONOMETRIC IDENTITIES AND EQUATIONS.
Introduction to Identities. Proving Identities. Sum and Difference Formulas. Dou ble-Angle and Half-Angle Formulas. Solving Trigonometric Equations. Summary. Rev iew. Test. Cumulative Review. Projects.
12. TRIANGLES.
Definition II: Right Triangle Trigonometry. The Law of Sines. The Ambiguous Case . The Law of Cosines. Summary. Review. Test. Cumulative Review. Projects.
APPENDIXES.
A: Synthetic Division. B: Matrix Solutions to Linear Systems. Conditional Statem ents. Answers to Odd-Numbered Problems, Chapter Reviews, Chapter Tests, and Cumu lative Reviews.