9780495385042

Precalculus Functions and Graphs

by ;
  • ISBN13:

    9780495385042

  • ISBN10:

    0495385042

  • Edition: 11th
  • Format: Hardcover
  • Copyright: 3/14/2007
  • Publisher: Brooks Cole
  • View Upgraded Edition

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Summary

Clear explanations, an uncluttered and appealing layout, and examples and exercises featuring a variety of real-life applications have made this text popular among students year after year. This latest edition of Swokowski and Cole's PRECALCULUS: FUNCTIONS AND GRAPHS retains these features. The problems have been consistently praised for being at just the right level for precalculus students like you. The book also provides calculator examples, including specific keystrokes that show you how to use various graphing calculators to solve problems more quickly. Perhaps most important-this book effectively prepares you for further courses in mathematics.

Table of Contents

Topics from Algebra
Real Numbers
Exponents and Radicals
Algebraic Expressions
Equations
Complex Numbers
Inequalities
Review Exercises
Discussion Exercises
Graphs and Functions
Rectangular Coordinate Systems
Graphs of Equations
Lines
Definition of Function
Graphs of Functions
Quadratic Functions
Operations on Functions
Review Exercises
Discussion Exercises
Polynomial and Rational Functions
Polynomial Functions of Degree Greater Than
Properties of Division
Zeros of Polynomials
Complex and Rational Zeros of Polynomials
Rational Functions
Variation
Review Exercises
Discussion Exercises
Inverse, Exponential, and Logarithmic Functions
Inverse Functions
Exponential Functions
The Natural Exponential Function
Logarithmic Functions
Properties of Logarithms
Exponential and Logarithmic Equations
Review Exercises
Discussion Exercises
Trigonometric Functions
Angles
Trigonometric Functions of Angles
Trigonometric Functions of Real Numbers
Values of the Trigonometric Functions
Trigonometric Graphs
Additional Trigonometric Graphs
Applied Problems
Review Exercises
Discussion Exercises
Analytic Trigonometry
Verifying Trigonometric Identities
Trigonometric Equations
The Additions and Subtraction of Formulas
Multiple-Angle Formulas
Product-To-Sum and Sum-To-Product Formulas
The Inverse Trigonometric Functions
Review Exercises
Discussion Exercises
Applications of Trigonometry
The Law of Sines
The Law of Cosines
Vectors
The Dot Product
Trigonometric Form for Complex Numbers
De Moivre's Theorem and nth Roots of Complex Numbers
Review Exercises
Discussion Exercises
Systems of Equations and Inequalities
Systems of Equations
Systems of Linear Equations in Two Variables
Systems of Inequalities
Linear Programming
Systems of Linear Equations in More Than Two Variables
The Algebra of Matrices
The Inverse of a Matrix
Determinants
Properties of Determinants
Partial Fractions
Review Exercises
Discussion Exercises
Sequences, Series, and Probability
Infinite Sequences and Summation Notation
Arithmetic Sequences
Geometric Sequences
Mathematical Induction
The Binomial Theorem
Permutations
Distinguishable Permutations and Combinations
Probability
Review Exercises
Discussion Exercises
Topics from Analytical Geometry
Parabolas
Ellipses
Hyperbolas
Plane Curves and Parametric Equations
Polar Coordinates
Polar Equations of Conics
Review Exercises
Discussion Exercises
Table of Contents provided by Publisher. All Rights Reserved.

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