College Algebra : Graphs and Models

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  • Edition: 3rd
  • Format: Hardcover
  • Copyright: 1/1/2009
  • Publisher: Addison Wesley
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With a visual, graphical approach that emphasizes connections among concepts, this text helps students make the most of their study time. The authors show how different mathematical ideas are tied together through their zeros, solutions, and x-intercepts theme; side-by-side algebraic and graphical solutions; calculator screens; and examples and exercises. By continually reinforcing the connections among various mathematical concepts as well as different solution methods, the authors lead students to the ultimate goal of mastery and success in class.

Table of Contents

The Real-Number System
Integer Exponents, Scientific Notation, and Order of Operations
Addition, Subtraction, and Multiplication of Polynomials
Rational Expressions
Radical Notation and Rational Exponents
The Basics of Equation Solving
Graphs, Functions, and Models
Introduction to Graphing
Functions and Graphs
Linear Functions, Slope, and Applications
Equations of Lines and Modeling
More on Functions
The Algebra of Functions
Symmetry and Transformations
Functions, Equations, and Inequalities
Linear Equations, Functions, and Models
The Complex Numbers
Quadratic Equations, Functions, and Models
Analyzing Graphs of Quadratic Functions
More Equation Solving
Solving Linear Inequalities
Polynomial and Rational Functions
Polynomial Functions and Models
Graphing Polynomial Functions
Polynomial Division
The Remainder and Factor Theorems
Theorems about Zeros of Polynomial Functions
Rational Functions
Polynomial and Rational Inequalities
Variation and Applications
Exponential and Logarithmic Functions
Inverse Functions
Exponential Functions and Graphs
Logarithmic Functions and Graphs
Properties of Logarithmic Functions
Solving Exponential and Logarithmic Equations
Applications and Models: Growth and Decay
Compound Interest
Systems of Equations and Matrices
Systems of Equations in Two Variables
Systems of Equations in Three Variables
Matrices and Systems of Equations
Matrix Operations
Inverses of Matrices
Determinants and Cramer's Rule
Systems of Inequalities and Linear Programming
Partial Fractions
Conic Sections
The Parabola
The Circle and the Ellipse
The Hyperbola
Nonlinear Systems of Equations and Inequalities
Sequences, Series, and Combinatorics
Sequences and Series
Arithmetic Sequences and Series
Geometric Sequences and Series
Mathematical Induction
Combinatorics: Permutations
Combinatorics: Combinations
The Binomial Theorem
Basic Concepts of Geometry
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