9780470222737

Algebra and Trigonometry, 2nd Edition

by
  • ISBN13:

    9780470222737

  • ISBN10:

    0470222735

  • Edition: 2nd
  • Format: Hardcover
  • Copyright: 2/1/2009
  • Publisher: Wiley
  • View Upgraded Edition

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Summary

Anyone trying to learn algebra and trigonometry may think they understand a concept but then are unable to apply that understanding when they attempt to complete exercises. This innovative book helps them overcome common barriers to learning the concepts and builds confidence in their ability to do mathematics. The second edition presents new sections on modeling at the end of each chapter as well as new material on Limits and Early Functions. Numerous examples are also included that provide more detailed annotations using everyday language. This approach gives them the skills to understand and apply algebra and trigonometry.

Table of Contents

Prerequisites And Review
Real Numbers
Integer Exponents and Scientific Notation
Polynomials: Basic Operations
Factoring Polynomials
Rational Expressions
Rational Exponents and Radicals
Complex Numbers
Modeling Your World
Review
Review Exercises
Practice Test
Cumulative Test
Equations And Inequalities
Linear Equations
Applications Involving Linear Equations
Quadratic Equations
Other Types of Equations
Linear Inequalities
Polynomial and Rational Inequalities
Absolute Value Equations and Inequalities
Modeling Your World
Review
Review Exercises
Practice Test
Cumulative Test
Graphs
Basic Tools: Cartesian Plane, Distance, and Midpoint
Graphing Equations: Point-Plotting, Intercepts and Symmetry
Lines
Circles
Modeling Your World Review
Review Exercises
Practice Test
Cumulative Test
Functions And Their Graphs
Functions
Graphs of Functions
Piecewise-Defined Functions
Increasing and Decreasing Functions
Average Rate of Change
Graphing Techniques: Transformations
Operation on Functions and Composition of Functions
One-to-One Functions and Inverse Functions
Modeling Functions Using Variation
Modeling Your World Review
Review Exercises
Practice Test
Cumulative Test
Polynomial And Rational Functions
Quadratic Functions
Polynomial Functions of Higher Degree
Dividing Polynomials: Long Division and Synthetic Division
The Real Zeros of a Polynomial Function
Complex Zeros; The Fundamental Theorem of Algebra
Rational Functions
Modeling Your World
Review
Review Exercises
Practice Test
Cumulative Test
Exponential And Logarithmic Functions
Exponential Functions and Their Graphs
Exponential Functions and Their Graphs
Properties of Logarithms
Exponential and Logarithmic Equations
Exponential and Logarithmic Models
Modeling Your World
Review
Review Exercises
Practice Test
Cumulative Test
Trigonometric Functions
Angles, Degrees and Triangles
Definition 1 of Trigonometric Functions: Right Triangle Ratios
Applications of Right Triangle Trigonometry: Solving Right Triangles
Definition 2 of Trigonometric Functions: Cartesian Plane
Trigonometric Functions of Non-Acute Angles
Radian Measure and Applications
Definition 3 of Trigonometric Functions: Unit Circle Approach
Graphs of Sine and Cosine Functions
Graphs of Other Trigonometric Functions
Modeling Your World
Review
Review Exercises
Practice Test
Cumulative Test
Analytic Trigonometry
Basic Trigonometric Identities
Verifying Trigonometric Identities
Sum and Difference Identities
Double-Angle Identities
Half-Angle Identities
Product-to-Sum and Sum-to-Product Identities
Inverse Trigonometric Functions
Trigonometric Equations
Modeling Your World
Review
Review Exer
Table of Contents provided by Publisher. All Rights Reserved.

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