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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. Available with InfoTrac® Student Collections http://gocengage.com/infotrac.
- A new four-color design helps further distinguish the features of the text.
- Examples and exercises have been updated.
- InfoTrac® Student Collections are specialized databases expertly drawn from the Gale Academic One library. Each InfoTrac® Student Collection enhances the student learning experience in the specific course area related to the product. These specialized databases allow access to hundreds of scholarly and popular publications - all reliable sources - including journals, encyclopedias, and academic reports. Learn more and access at: http://gocengage.com/infotrac.
- 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.
- A section on scientific notation has been added.
- Chapter 1 Mathematical Model Fundamentals has been reorganized.
- Geometric models has been moved from chapter 5 to chapter 2.
- Chapter 7 Probability Models has been reorganized creating additional sections.
- Chapter 8 Modeling with Statistics now includes a section on reading and interpreting graphical information.
- 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.
- Calculator Mini-Lessons encourage students to become more familiar with the functions of their calculators.
- 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.
- The Chapter Summary includes all important terms, equations and concepts in one page.
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.
"I give this text an A. I have looked at numerous other texts for the MAT 115 course, but none have been better suited than this book, in my opinion, to the Mathematical Modeling course."
"I have also asked my students for their opinions on the textbook, and I heard the following things: They really like that the definitions and formulas they will need are highlighted in blue. They also said that mathematics textbooks either make the sections impossible to follow on your own, or so easy to follow on your own that you feel you do not need to attend class, so they stop going. They felt this textbook was right in the middle. They said they need to come to my lecture because it helps them to understand exactly what the examples are doing in the book, but they wouldn't be able to follow completely on their own. They like the way the book works directly with lecture and vise versa. "
"We have not found any textbook that even runs a close second."
Cengage provides a range of supplements that are updated in coordination with the main title selection. For more information about these supplements, contact your Learning Consultant.
Instructors Resource Manual
Fundamentals of Algebraic Modeling, 6th: PowerLecture CD-ROM with ExamView Test Generator
Student Solutions Manual
Student Solutions Manual
Prepare for exams and succeed in your mathematics course with this comprehensive solutions manual! Featuring worked out-solutions to the problems in FUNDAMENTALS OF ALGEBRAIC MODELING, 6th Edition, this manual shows you how to approach and solve problems using the same step-by-step explanations found in your textbook examples.