9780534435561

Algebra and Trigonometry with Analytic Geometry (Classic Edition with CD-ROM and InfoTrac)

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  • ISBN13:

    9780534435561

  • ISBN10:

    0534435564

  • Edition: 10th
  • Format: Hardcover
  • Copyright: 2/28/2002
  • Publisher: Brooks Cole
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Table of Contents

1. Fundamental Concepts of Algebra
Real Numbers
Exponents and Radicals
Algebraic Expressions
Fractional Expressions
Chapter 1 Review Exercises
Chapter 1 Discussion Exercises
2. Equations and Inequalities
Equations
Applied Problems
Quadratic Equations
Complex Numbers
Other Types of Equations
Inequalities
More on Inequalities
Chapter 2 Review Exercises
Chapter 2 Discussion Exercises
3. Functions and Graphs
Rectangular Coordinate Systems
Graphs of Equations
Lines
Definition of Function
Graphs of Functions
Quadratic Functions
Operations on Functions
Inverse Functions
Variation
Chapter 3 Review Exercises
Chapter 3 Discussion Exercises
4. Polynomial and Rational Functions
Polynomial Functions of Degree Greater than 2. Properties of Division
Zeros of Polynomials
Complex and Rational Zeros of Polynomials
Rational Functions
Chapter 4 Review Exercises
Chapter 4 Discussion Exercises
5. Exponential and Logarithmic Functions
Exponential Functions
The Natural Exponential Function
Logarithmic Functions
Properties of Logarithms
Exponential and Logarithmic Equations
Chapter 5 Review Exercises
Chapter 5 Discussion Exercises
6. The Trigonometric Functions
Angles
Trigonometric Functions of Angles
Trigonometric Functions of Real Numbers
Values of Trigonometric Functions
Trigonometric Graphs
Additional Trigonometric Graphs
Applied Problems
Chapter 6 Review Exercises
Chapter 6 Discussion Exercises
7. Analytic Trigonometry
Verifying Trigonometric Identities
Trigonometric Equations
The Addition and Subtraction Formulas
Multiple-Angle Formulas
Product-to-Sum and Sum-to-Product Formulas
The Inverse Trigonometric Functions
Chapter 7 Review Exercises
Chapter 7 Discussion Exercises
8. Applications of Trigonometry
The Law of Sines
The Law of Cosines
Trigonometric Form for Complex Numbers
De Moivre's Theorem and nth Roots of Complex Numbers
Vectors
The Dot Product
Chapter 8 Review Exercises
Chapter 8 Discussion Exercises
9. Systems of Equations and Inequalities
Systems of Equations
Systems of Linear Equations in Two Variables
Systems of Linear Equations in More than Two Variables
Partial Fractions
Systems of Inequalities
Linear Programming
The Algebra of Matrices
The Inverse of a Matrix
Determinants
Properties of Determinants
Chapter 9 Review Exercises
Chapter 9 Discussion Exercises
10. Sequences, Series, and Probability
Infinite Sequences and Summation Notation
Arithmetic Sequences
Geometric Sequences
Mathematical Induction
The Binomial Theorem
Permutations
Distinguishable Permutations and Combinations
Probability
Chapter 10 Review Exercises
Chapter 10 Discussion Exercises
11. Topics from Analytic Geometry
Parabolas
Ellipses
Hyperbolas
Plane Curves and Parametric Equations
Polar Coordinates
Polar Equations of Conics
Chapter 11 Review Exercises
Chapter 11 Discussion Exercises
Appendixes
Answers to Selected Exercises
Index Of Applications
Index

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