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College Algebra

ISBN: 9780073312620 | 0073312622
Edition: 8th
Format: Hardcover
Publisher: McGraw-Hill Science/Engineering/Math
Pub. Date: 1/19/2007

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SummaryTable of Contents
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. 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 mathematically concepts. In each section, the worked examples are followed by matched problems that reinforce the concept being taught. In addition, the text contains an abundance of exercises and applications that will convince students that math is useful.
Chapter R: Basic Algebraic Operations
Algebra and Real Numbers
Exponents
Radicals
Polynomials: Basic Operations
Polynomials: Factoring
Rational Expressions: Basic Operations
Chapter R Review
Chapter R Group Activity: Rational Number Representations
Equations and Inequalities
... MORE
Linear Inequalities
Absolute Value
Complex Numbers
Quadratic Equations and Applications
Equations Involving Radicals
Chapter 1 Review
Chapter 1 Group Activity: Solving a Cubic Equation
Graphs
Cartesian Coordinate system
Distance in the Plane
Equations of a line
Linear Equations and Models
Chapter 2 Review
Chapter 2 Group Activity: Rates of Change
Functions
Functions
Graphing Functions
Transformations of Functions
Quadratic Functions
Combining Functions; Composition
Inverse Functions
Chapter 3 Review
Chapter 3 Group Activity: Mathematical Modeling: Choosing a Long-Distance Calling Plan
Chapters 1-3 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
Chapter 4 Review
Chapter 4 Group Activity: Interpolating Polynomials
Exponential and Logarithmic Functions
Exponential Functions
Exponential Models
Logarithmic Functions
Logarithmic Models
Exponential and Logarithmic Equations
Chapter 5 Review
Chapter 5 Group Activity: Growth of Increasing Functions
Chapters 4-5 Cumulative Review Exercises
Additional Topics in Analytic Geometry
Conic Sections; Parabolas
Ellipses
Hyperbolas
Chapter 6 Review
Chapter 6 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
Chapter 7 Review
Chapter 7 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 Chapter 8 Review Chapter 8 Group Activity: Sequences Specified by Recursion Formulas Chapters 6-8 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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