9780840069429

Precalculus

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  • ISBN13:

    9780840069429

  • ISBN10:

    0840069421

  • Edition: 7th
  • Format: Hardcover
  • Copyright: 1/1/2011
  • Publisher: Cengage Learning
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Summary

Get a good grade in your precalculus course with PRECALCULUS, Seventh Edition. Written in a clear, student-friendly style, the book also provides a graphical perspective so you can develop a visual understanding of college algebra and trigonometry. With great examples, exercises, applications, and real-life data--and a range of online study resources--this book provides you with the tools you need to be successful in your course.

Table of Contents

Fundamentals
Sets of Real Numbers
Absolute Value
Solving Equations (Review and Preview)
Rectangular Coordinates
Visualizing Data
Graphs and Graphing Utilities
Equations of Lines
Symmetry and Graphs
Circles
Equations And Inequalities
Quadratic Equations: Theory and Examples
Other Types of Equations
Inequalities
More on Inequalities
Functions
The Definition of a Function
The Graph of a Function
Shapes of Graphs
Average Rate of Change
Techniques in Graphing
Methods of Combining Functions
Iteration
Inverse Functions
Polynomial And Rational Functions: Applications To Optimization
Linear Functions
Quadratic Functions
Using Iteration to Model Populations Growth (Optional Section)
Setting Up Equations That Devine Functions
Maximum and Minimum Problems
Polynomial Functions
Rational Functions
Exponential And Logarithmic Functions
Exponential Functions
The Exponential Function y = ex
Logarithmic Functions
Properties of Logarithms
Equations and Inequalities with Logs and Exponents
Compound IntereSt. Exponential Growth and Decay
An Introduction To Trigonometry Via Right Triangles
Trigonometric Functions of Acute Angles
Right-Triangle Applications
Trigonometric Functions of Angles
Trigonometric Identities
The Trigonometric Functions
Radian Measure
Trigonometric Functions of Angles
Evaluating the Trigonometric Functions
Algebra and the Trigonometric Functions
Right-Triangle Trigonometry
Graphs Of Trigonometric Functions
Trigonometric Functions of Real Numbers
Graphs of the Sine and Cosine Functions
Graphs of y = A sin(Bx-C) and y = A cos(Bx-C)
Simple Harmonic Motion
Graphs of the Tangent and the Reciprocal Functions
Analytical Trigonometry
The Addition Formulas
The Double-Angle Formulas
The Product-to-Sum and Sum-to-Product Formulas
Trigonometric Equations
The Inverse Trigonometric Functions
Additional Topics In Trigonometry
Right-Triangle Applications
The Law of Sines and the Law of Cosines
Vectors in the Plane: A Geometric Approach
Vectors in the Plane: An Algebraic Approach
Parametric Equations
Introduction to Polar Coordinates
Curves in Polar Coordinates
DeMoivre's Theorem
Systems Of Equations
Systems of Two Linear Equations in Two Unknowns
Gaussian Elimination
Matrices
The Inverse of a Square Matrix
Determinants and Cramer's Rule
Nonlinear Systems of Equations
Systems of Inequalities
The Conic Sections
The Basic Equations
The Parabola
Tangents to Parabolas (Optional Section)
The Ellipse
The Hyperbola
The Focus-Directrix Property of Conics
The Conics in Polar Coordinates
Rotation of Axes
Roots Of Polynomial Equations
Division of Polynomials
The Remainder Theorem and the Factor Theorem
The Fundamental Theorem of Algebra
Rational and Irrational Roots
Conjugate Roots and Descartes's Rule of Signs
Introduction to Partial Fractions
More About Partial Fractions
Additional Topics In Algebra
Mathematical Induction
The Binomial Theorem
Introduction to Sequences and Series
Arithmetic Sequences and Series
Geometric Sequences and Series
Introduction to Limits
Significant Digits
v2 is Irrational
The Complex Number System
Answers
Index
Table of Contents provided by Publisher. All Rights Reserved.

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