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9780073312644

College Algebra with Trigonometry

by ; ;
  • ISBN13:

    9780073312644

  • ISBN10:

    0073312649

  • Edition: 8th
  • Format: Hardcover
  • Copyright: 2007-02-12
  • Publisher: McGraw-Hill Science/Engineering/Math
  • View Upgraded Edition
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List Price: $227.27

Summary

The Barnett, Ziegler, Byleen College Algebra series is designed to be user friendly and to maximize student comprehension. The goal of this series is to emphasize computational skills, ideas, and problem solving rather than mathematical theory. College Algebra with Trigonometry, 7/E, introduces a right angle approach to trigonometry and can be used in one or two semester college algebra with trig or precalculus courses. The large number of pedagogical devices employed in this text will guide a student through the course. Integrated throughout the text, the students and instructors will find Explore-Discuss boxes which encourage students to think critically about mathematical concepts. In each section, the worked examples are followed by matched problems that reinforce the concept that is being taught. In addition, the text contains an abundance of exercises and applications that will convince students that math is useful. A Smart CD is packaged with the seventh edition of the book. This CD reinforces important concepts, and provides students with extra practice problems.

Table of Contents

Basic Algebraic Operations
Algebra and Real Numbers
Exponents
Radicals
Polynomials: Basic Operations
Polynomials: Factoring
Rational Expressions: Basic Operations
Review
Group Activity: Rational Number Representations
Equations and Inequalities
Linear Equations and Applications
Linear Inequalities
Absolute Value
Complex Numbers
Quadratic Equations and Applications
Equations Involving Radicals
Review
Group Activity: Solving a Cubic Equation
Graphs
Cartesian Coordinate system
Distance in the Plane
Equations of a line
Linear Equations and Models
Review
Group Activity: Rates of Change
Functions
Functions
Graphing Functions
Transformations of Functions
Quadratic Functions
Combining Functions; Composition
Inverse Functions
Review
Group Activity: Mathematical Modeling: Choosing a Long-Distance Calling Plan Chapters
Cumulative Review Exercises
Polynomials and Rational Functions
Polynomial Functions and Models
Real Zeros and Polynomial Inequalities
Complex Zeros and Rational Zeros of Polynomials
Rational Functions and Inequalities
Variation and Modeling
Review
Group Activity: Interpolating Polynomials
Exponential and Logarithmic Functions
Exponential Functions
Exponential Models
Logarithmic Functions
Logarithmic Models
Exponential and Logarithmic Equations
Review
Group Activity: Growth of Increasing Functions Chapters
Cumulative Review Exercises
Trigonometric Functions
Angles and Their Measure
Right-Triangle Trigonometry
Trigonometric Functions: A Unit Circle Approach
Trigonometric Functions: Properties and Graphs
More General Trigonometric Functions
Inverse Trigonometric Functions
Review
Group Activity: A Predator-Prey Analysis Involving Mountain Lions and Deer
Trigonometric Identities and Conditional Equations
Basic Identities and Their Use
Sum, Difference, and Cofunction Identities
Double-Angle and Half-Angle Identities
Product-Sum and Sum-Product Identities
Trigonometric Equations
Review
Group Activity: From M sin Bt + N cos Bt to A sin(Bt + C): A Harmonic Analysis Tool
Additional Topics in Trigonometry
Law of Sines
Law of Cosines
Vectors in the Plane
Polar Coordinates and Graphs
Complex Numbers and De Moivre's Theorem
Review
Group Activity: Conic Sections and Planetary Orbits Chapters
Cumulative Review Exercises
Additional Topics in Analytic Geometry
Conic Sections; Parabolas
Ellipses
Hyperbolas
Rotation of Axes
Review
Group Activity: Focal Chords
Systems of Equations and Inequalities; Matrices
Systems of Linear Equations: Graphing and Substitution
Systems of Linear Equations: Elimination
Systems of Linear Equations: Gauss-Jordan Elimination
Matrices: Basic Operations
Systems of Linear Equations: Matrix Inverse Methods
Systems of Nonlinear Equations
Systems of Linear Inequalities in Two Variables
Linear Programming
Review
Group Activity: Modeling With Systems of Linear Equations
Sequences and Series
Sequences and Series
Mathematical Induction
Arithmetic and Geometric Sequences
Counting Techniques: Multiplication Principle, Permutations, and Combinations
Sample Spaces and Probability
Binomial Formula
Review
Group Activity: Sequences Specified by Recursion Formulas Chapters
Cumulative Review Exercises
Special Topics
Scientific Notation and Significant Digits
Partial Fractions
Parametric Equations
Geometric Formulas
Table of Contents provided by Publisher. All Rights Reserved.

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