Algebra and Trigonometry with Analytic Geometry, Classic Edition

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  • Edition: 12th
  • Format: Hardcover
  • Copyright: 2009-01-28
  • Publisher: Brooks Cole

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The latest edition in the highly respected Swokowski/Cole precalculus series retains the elements that have made it so popular with users alike: its exposition is clear, the time-tested exercise sets feature a variety of applications, its uncluttered layout is appealing, and the difficulty level of problems is appropriate and consistent. Mathematically sound, ALGEBRA AND TRIGONOMETRY WITH ANALYTIC GEOMETRY, CLASSIC EDITION, 12E, effectively prepares users for further courses in mathematics through its excellent, time-tested problem sets.

Table of Contents

Fundamental Concepts of Algebra
Real Numbers
Exponents and Radicals
Algebraic Expressions
Fractional Expressions
Chapter 1 Review Exercises
Chapter 1 Discussion Exercises
Equations and Inequalities
Applied Problems
Quadratic Equations
Complex Numbers
Other Types of Equations
More on Inequalities
Chapter 2 Review Exercises
Chapter 2 Discussion Exercises
Functions and Graphs
Rectangular Coordinate Systems
Graphs of Equations
Definition of Function
Graphs of Functions
Quadratic Functions
Operations on Functions
Chapter 3 Review Exercises
Chapter 3 Discussion Exercises
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
Inverse, Exponential, and Logarithmic Functions
Inverse Functions
Exponential Functions
The Natural Exponential Function
Logarithmic Functions
Properties of Logarithms
Exponential and Logarithmic Equations
Chapter 5 Review Exercises
Chapter 5 Discussion Exercises
The Trigonometric Functions
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
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
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
The Dot Product
Chapter 8 Review Exercises
Chapter 8 Discussion Exercises
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
Properties of Determinants
Chapter 9 Review Exercises
Chapter 9 Discussion Exercises
Sequences, Series, and Probability
Infinite Sequences and Summation Notation
Arithmetic Sequences
Geometric Sequences
Mathematical Induction
The Binomial Theorem
Distinguishable Permutations and Combinations
Chapter 10 Review Exercises
Chapter 10 Discussion Exercises
Topics from Analytic Geometry
Plane Curves and Parametric Equations
Polar Coordinates
Polar Equations of Conics
Chapter 11 Review Exercises
Chapter 11 Discussion Exercises
Answers to Selected Exercises
Index of Applications
Table of Contents provided by Publisher. All Rights Reserved.

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