Fundamentals of Algebraic Modeling : An Introduction to Mathematical Modeling with Algebra and Statistics

by Timmons, Daniel L.; Johnson, Catherine W.; McCook, Sonya

• ISBN13: 9780495555094
• ISBN10: 0495555096
• Edition: 5th
• Format: Hardcover
• Copyright: 2008-12-24
• Publisher: Brooks Cole

Summary

FUNDAMENTALS OF ALGEBRAIC MODELING 5e presents Algebraic concepts in non-threatening, easy-to-understand language and numerous step-by-step examples to illustrate ideas. This text aims to help you relate math skills to your daily as well as a variety of professions including music, art, history, criminal justice, engineering, accounting, welding and many others.

Table of Contents

A Review of Algebra Fundamentals

Mathematical Models

Real Numbers and Mathematical Equations

Solving Linear Equations

Formulas

Ratio and Proportion

Percents

Word Problem Strategies

Graphing

Rectangular Coordinate System

Graphing Linear Equations

Slope

Writing Equations of Lines

Applications and Uses of Graphs

Functions

Functions

Using Function Notation

Linear Functions as Models

Direct and Inverse Variation

Quadratic Functions and Power Functions as Models

Exponential Functions as Models

Mathematical Models in Consumer Math

Mathematical Models in the Business World

Mathematical Models in Banking

Mathematical Models in Consumer Credit

Mathematical Models in Purchasing an Automobile

Mathematical Models in Purchasing a Home

Mathematical Models in Insurance Options and Rates

Mathematical Models in Stocks, Mutual Funds, and Bonds

Mathematical Models in Personal Income

Additional Applications of Algebraic Modeling

Models and Patterns in Plane Geometry

Models and Patterns in Right Triangles

Models and Patterns in Art and Architecture: Perspective and Symmetry

Models and Patterns in Art, Architecture, and Nature: Scale and Proportion

Models and Patterns in Music

Modeling with Systems of Equations

Solving Systems by Graphing

Solving Systems Algebraically Applications of Linear Systems

Systems of Nonlinear Functions

Modeling with Statistics

Sets and Set Theory

What is Probability

Theoretical Probability and Odds

Tree Diagrams

Or and And Problems

The Counting Principle, Permutations and Combinations

Modeling with Statistics

Introduction to Statistics

Descriptive Statistics

Organizing and Displaying Data

Variation

Normal Curve

Scatter Diagrams and Linear Regression

Appendices

Commonly Used Calculator Keys

Calculator Practice Formulas Used in This Text

Levels of Data in Statistics

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