Fundamentals of Algebraic Modeling

  • AUTHORS: Daniel L. Timmons; Catherine W. Johnson; Sonya McCook
  • ISBN-13: 9781133627777 
  • Grade(s): 9 | 10 | 11 | 12
  • 464 Pages  Hardcover 
  • 6th Edition  |  Previous Editions: 2010, 2006, 2002
  • ©2014     Published
  • Prices are valid only in the respective region

Overview

About The Product

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 InfoTracĀ® Student Collections http://gocengage.com/infotrac.

Features

  • 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.

About the Contributor

AUTHORS
  • Daniel L. Timmons

    Daniel L. Timmons is an Instructor of Physics and Mathematics at Alamance Community College.

  • Catherine W. Johnson

    CathCatherine W. Johnson is Associate Dean of Arts and Science at Alamance Community College.

  • Sonya McCook

    Sonya M. McCook is Department Head of Mathematics at Alamance Community College.

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.
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.

New to this Edition

  • A new four-color design helps further distinguish the features of the text.
  • Examples and exercises have been updated.
  • 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.
  • InfoTracĀ® Student Collections are specialized databases expertly drawn from the Gale Academic One library. Each InfoTracĀ® 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.

Components

Teacher Components

  • Student Solutions Manual  (ISBN-10: 128542042X | ISBN-13: 9781285420424)
    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.
    Price = 46.75

Student Supplements

  • Student Solutions Manual  (ISBN-10: 128542042X | ISBN-13: 9781285420424)
    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.
    Price = 46.75