The sixth edition of FUNDAMENTALS OF ALGEBRAIC MODELING strives to show the student connections between math and their daily lives. Algebraic modeling concepts and solutions are presented in non-threatening, easy-to-understand language with numerous step-by-step examples to illustrate ideas. Whether they are going on to study early childhood education, graphic arts, automotive technologies, criminal justice, or something else, students will discover that the practical applications of mathematical modeling will continue to be useful well after they have finished this course.
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Table of Contents
A REVIEW OF ALGEBRA FUNDAMENTALS.
Real Numbers and Mathematical Operations. Solving Linear Equations. Percents. Scientific Notation.
1. MATHEMATICAL MODEL FUNDAMENTALS.
Mathematical Models. Formulas. Ratio and Proportion. Word Problem Strategies.
2. GEOMETRIC MODELS.
Models and Patterns in Plane Geometry. Models and Patterns in Triangles. Models and Patterns in Art and Architecture: Perspective and Symmetry. Models and Patterns in Art and Architecture and Nature: Scale and Proportion. Models and Patterns in Music.
Rectangular Coordinate System. Graphing Linear Equations. Slope. Writing Equations of Lines. Applications and Uses of Graphs.
Functions. Using Function Notation. Linear Functions as Models. Direct and Inverse Variation. Quadratic Functions as Models. Exponential Functions as Models.
5. 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.
6. MODELING WITH SYSTEMS OF EQUATIONS.
Solving Systems by Graphing. Solving Systems Algebraically. Applications of Linear Systems. Systems of Non-Linear Functions.
7. PROBABILITY MODELS.
Sets and Set Theory. What is Probability? Theoretical Probability. Odds. Tree Diagrams and the Counting Principle. Probabilities Involving "Or". Probabilities Involving "And". Permutations and Combinations.
8. MODELING WITH STATISTICS.
Introduction to Statistics and Surveys. Frequency Tables and Histograms. Reading and Interpreting Graphical Information. Descriptive Statistics. Variation. Normal Curve. Scatter Diagrams and Linear Regression.