FUNDAMENTALS OF ALGEBRAIC MODELING 6e 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 life as well as a variety of professions including music, art, history, criminal justice, engineering, accounting, welding and many others. Available with InfoTrac® Student Collections http://gocengage.com/infotrac.
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.
3. GRAPHING.
Rectangular Coordinate System. Graphing Linear Equations. Slope. Writing Equations of Lines. Applications and Uses of Graphs.
4. FUNCTIONS.
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.
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Daniel L. Timmons
Daniel L. Timmons is an Instructor of Physics and Mathematics at Alamance Community College.
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Catherine W. Johnson
CathCatherine W. Johnson is Associate Dean of Arts and Science at Alamance Community College.
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Sonya McCook
Sonya M. McCook is Department Head of Mathematics at Alamance Community College.
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A new four-color design helps further distinguish the features of the text.
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Examples and exercises have been updated.
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A brand new Chapter R A Review of Algebra Fundamentals has been added and it gives students an opportunity to review the algebra skills needed to be successful in a modeling course.
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A section on scientific notation has been added.
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Chapter 1 Mathematical Model Fundamentals has been reorganized.
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Geometric models has been moved from chapter 5 to chapter 2.
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Chapter 7 Probability Models has been reorganized creating additional sections.
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A brand new Chapter R A Review of Algebra Fundamentals has been added and it gives you an opportunity to review the algebra skills needed to be successful in a modeling course.
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A section on scientific notation has been added.
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Chapter 1 Mathematical Model Fundamentals has been reorganized.
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Laboratory Exercises at the end of each chapter get students involved in guided hands-on activities. Some are designed to be completed as individual assignments and others require group work.
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Calculator Mini-Lessons encourage students to become more familiar with the functions of their calculators.
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Each section ends with an extensive problem set allowing students to practice what they have learned. Each chapter has review problems and a chapter test with answers provided in the back of the book.
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The Chapter Summary includes all important terms, equations and concepts in one page.
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Laboratory Exercises at the end of each chapter get you involved in guided hands-on activities. Some are designed to be completed as individual assignments and others require group work.
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Calculator Mini-Lessons encourage you to become more familiar with the functions of your calculators.
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The Chapter Summary includes all important terms, equations and concepts in one page.
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Each section ends with an extensive problem set allowing you to practice what they have learned. Each chapter has review problems and a chapter test with answers provided in the back of the book.
Fundamentals of Algebraic Modeling, 6th: PowerLecture CD-ROM with ExamView Test Generator
9781285420479