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Precalculus : Functions and Graphs

ISBN: 9780495108375 | 0495108375
Edition: 11th
Format: Hardcover
Publisher: Cengage Learning
Pub. Date: 3/14/2007

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SummaryTable of Contents
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
Topics From Algebra
Real Numbers
Exponents and Radicals
Algebraic Expressions
Equations
Complex Numbers
Inequalities
Rectangular Coordinate Systems
Lines.
Chapter 1 Review Exercises.
Chapter 1 Discussion Exercises
Functions
... MORE
Graphs of Functions
Quadratic Functions
Operations on Functions
Inverse Functions.
Chapter 2 Review Exercises.
Chapter 2 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 3 Review Exercises.
Chapter 3 Discussion Exercises
Exponential And Logarithmic Functions
Exponential Functions
The Natural Exponential Function
Logarithmic Functions
Properties of Logarithms
Exponential and Logarithmic Equations.
Chapter 4 Review Exercises.
Chapter 4 Discussion Exercises
The Trigonometric Functions
Angles
Trigonometric Functions of Angles
Trigonometric Functions of Real Numbers
Values of the Trigonometric Functions
Trigonometric Graphs
Additional Trigonometric Graphs
Applied Problems.
Chapter 5 Review Exercises.
Chapter 5 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 6 Review Exercises.
Chapter 6 Discussion Exercises
Applications Of Trigonometry
The Law of Sines
The Law of Cosines
Trigonometric Form for Complex Numbers
DeMoivre's Theorem and nth Roots of Complex Numbers
Vectors
The Dot Product.
Chapter 7 Review Exercises.
Chapter 7 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
Determinants
Properties of Determinants.
Chapter 8 Review Exercises.
Chapter 8 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.
Chapter 9 Review Exercises.
Chapter 9 Discussion Exercises
Topics From Analytic Geometry
Parabolas
Ellipses
Hyperbolas
Plane Curves and Parametric Equations
Polar Coordinates
Polar Equations of Conics.
Chapter 10 Review Exercises.
Chapter 10 Discussion Exercises
Using a TI-82/83 Graphing Calculator
Common Graphs and Their Equations
A Summary of Graph Transformations
Graphs of the Trigonometric Functions and Their Inverses
Answers to Selected Exercises
Index of Applications
Index
Table of Contents provided by Publisher. All Rights Reserved.

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