College Algebra in Context with Applications for the Managerial, Life and Social Sciences

by Harshbarger, Ronald J.; Yocco, Lisa S.

• ISBN13: 9780201729542
• ISBN10: 0201729547
• Format: Hardcover
• Copyright: 2004-01-01
• Publisher: Addison Wesley

Summary

College Algebra in Context is application driven and uses numerous real data problems to motivate interest in the skills and concepts of algebra. This text provides the algebraic skills and concepts for a core course in college algebra, in a setting that includes applications from business, economics, biology, and the social sciences. It is intended to provide the algebraic background needed for subsequent courses, with a special focus on the applied calculus course. The text is designed to show students how to analyze and investigate solution methods for the problems that they will encounter in future courses and/or in future careers.

Table of Contents

Functions, Graphs, And Models

Linear Functions

Algebra Toolbox

Functions and Graphs

Graphs of Functions; Mathematical Models

Linear Functions

Equations of Lines, Constant Rates of Change

Algebraic and Graphical Solution of Linear Equations

Fitting Lines To Data Points: Modeling Functions

Models in Business and Economics

Solutions of Linear Inequalities

Quadratic And Other Non-Linear Functions

Algebra Toolbox

Quadratic Functions; Parabolas

Solving Quadratic Equations

Power Functions And Transformations

Quadratic and Power Models

Combining Functions; Reciprocal, Absolute Value, And Piecewise-Defined Functions

Inverse Functions

Quadratic and Power Inequalities

Exponential and Logarithmic Functions

Algebra Toolbox

Exponential Functions

Logarithmic Functions

Solving Exponential Equations

Properties of Logarithms

Exponential and Logarithmic Models

Exponential Functions and Investing

Annuities

Loan Repayment

Logistic and Gompertz Functions

Higher Degree Polynomial and Rational Functions

Algebra Toolbox

Higher Degree Polynomial Functions

Modeling Cubic and Quartic Functions

Solution of Polynomial Equations

Solution of Polynomial Equations Using Synthetic Division

Complex Solutions

Fundamental Theorem of Algebra

Rational Functions

Polynomial and Rational Inequalities

Systems of Equations and Matrices

Algebra Toolbox

Systems of Linear Equations in Two Variables

Systems of Linear Equations in Three Variables

Matrix Solutions

Systems of Linear Equations with Non-unique Solutions

Matrices

Basic Operations

Inverse of a Matrix

Matrix Equations

Special Topics

Sequences and Discrete Functions

Series

Systems of Linear Inequalities

Linear Programming

Graphical Methods

Preparing for Calculus

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