9780077350161

College Algebra

by ; ; ;
  • ISBN13:

    9780077350161

  • ISBN10:

    0077350162

  • Edition: 9th
  • Format: Hardcover
  • Copyright: 1/20/2010
  • Publisher: McGraw-Hill Science Engineering

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Summary

The Barnett/Ziegler/Byleen/Sobecki College Algebra series is designed to give students a solid grounding in pre-calculus topics in a user-friendly manner. The series emphasizes computational skills, ideas, and problem solving rather than theory. Explore/Discuss boxes integrated throughout each text encourage students to think critically about mathematical concepts. All worked examples are followed by Matched Problems that reinforce the concepts being taught. New to these editions, Technology Connections illustrate how concepts that were previously explained in an algebraic context may also be solved using a graphing calculator. Students are always shown the underlying algebraic methods first so that they do not become calculator-dependent. In addition, each text in the series contains an abundance of exercises - including numerous calculator-based and reasoning and writing exercises - and a wide variety of real-world applications illustrating how math is useful.

Table of Contents

Basic Algebraic Operations
Algebra and Real Numbers
Exponents
Radicals
Polynomials: Basic Operations
Review
Equations and Inequalities
Linear Equations and Applications
Linear Inequalities
Absolute Value
Complex Numbers
Quadratic Equations and Applications
Equations Involving Radicals
Group Activity: Solving a Cubic Equation
Review
Graphs
Cartesian Coordinate System
Distance in the Plane
Equations of a Line
Linear Equations and Models
Group Activity: Rates of Change
Review
Functions
Functions
Graphing Functions
Transformations of Functions
Quadratic Functions
Combining Functions; Composition
Inverse Functions
Group Activity: Mathematical Modeling - Choosing a Long-Distance Calling Plan
Review
Cumulative Review Exercises
Polynomial 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
Group Activity: Interpolating Polynomials
Review
Exponential and Logarithmic Functions
Exponential Functions
Exponential Models
Logarithmic Functions
Logarithmic Models
Exponential and Logarithmic Equations
Group Activity: Growth of Increasing Functions
Review
Cumulative Review Exercises
Additional Topics in Analytic Geometry
Conic Sections; Parabola
Ellipse
Hyperbola
Group Activity: Focal Chords
Review
Systems of Equations and Inequalities; Matrices
Systems of Linear Equations
Solving Linear Systems Using Gauss-Jordan Elimination
Matrix Operations
Solving Linear Systems Using Inverse Matrices
Determinants and Cramer's Rule
Chapter 7 Group Activity: Modeling with Systems of Linear Equations
Systems of Nonlinear Equations
Systems of Linear Inequalities
Linear Programming
Review
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
Group Activity: Sequences Specified by Recursion Formulas
Review
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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