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Geared toward business and social science majors in a two-semester finite mathematics and applied calculus course, this text equips students with the analytical tools and technological skills they will need in the workplace. Plain language and an easy-to-read style help stress conceptual understanding and reinforce key terms and concepts. At the same time, the incorporation of real-life applications, examples, and data help engage students--even those who have never enjoyed mathematics. Pedagogy throughout the text helps students analyze data from a variety of approaches, including numeric, algebraic, graphical, literal, and technological. A robust supplement package and exciting new technology program provide students with extensive learning and support, so that instructors can spend more time teaching.
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Frank C. Wilson teaches students mathematics at Chandler-Gilbert Community College in Mesa, Arizona. Prior to accepting this position, he taught full-time at Green River Community College and at the U.S. Air Force Academy.Frank is the recipient of numerous awards including the Calculus Division Instructor of the Year Award, Make Their Day Staff Award, and Faculty Excellence Award. Nominated by a student, he was featured in Who's Who Among American Teachers in 2004.A dynamic speaker, Frank regularly shares innovative teaching techniques at national and affiliate conferences of the American Mathematical Association of Two-Year Colleges. His 2005 presentation "When Am I Ever Going to Use This? Engaging the Skeptical Student" was attended by more than 110 AMATYC conference attendees.In addition to teaching and writing textbooks, Frank writes children's books. His picture book on measurement, Measure Up! A Bug Contest, was published by Innovative Kids in 2003.Frank is a graduate of Brigham Young University. He and his wife, Shelley, are the proud parents of six children.Feel free to contact Frank at firstname.lastname@example.org with any questions or feedback.Review:
Note: Each chapter concludes with Review Exercises and a Make It Real project. 1. Functions and Linear Models Functions Linear Functions Linear Models 2. Systems of Linear Equations Systems of Linear Equations Using Matrices to Solve Linear Systems of Equations Linear System Applications 3. Matrix Algebra and Applications Matrix Addition and Scalar Multiplication Matrix Multiplication and Inverses Solving Matrix Equations Leontief Input-Output Models 4. Linear Programming Graphing Linear Inequalities Solving Linear Programming Problems Graphically Solving Standard Maximization Problems with the Simplex Method Solving Standard Minimization Problems and the Dual Solving General Linear Programming Problems with the Simplex Method 5. Nonlinear Models Quadratic Function Models Higher-Order Polynomial Function Models Exponential Function Models Logarithmic Function Models Choosing a Mathematical Model 6. Mathematics of Finance Solving Exponential Equations Simple and Compound Interest Future Value of an Increasing Annuity Present Value of a Decreasing Annuity 7. Sets and Probability Introduction to Sets Cardinality and the Addition and Multiplication Principles Permutations and Combinations Introduction to Probability Basic Probability Concepts 8. Advanced Probability and Statistics Conditional Probability Bayes' Theorem and Applications Markov Chains Random Variables and Expected Value Measures of Central Tendency and Dispersion Normal Distributions 9. The Derivative Average Rates of Change Limits and Instantaneous Rates of Change The Derivative as a Slope: Graphical Method The Derivative as a Function: Algebraic Method Interpreting the Derivative 10. Differentiation Techniques Basic Derivative Rules The Product and Quotient Rules The Chain Rule Exponential and Logarithmic Rules Implicit Differentiation 11. Derivative Applications Maxima and Minima Applications of Maxima and Minima Concavity and the Second Derivative Related Rates 12. The Integral Indefinite Integrals Integration by Substitution Using Sums to Approximate Area The Definite Integral The Fundamental Theorem of Calculus 13. Advanced Integration Techniques and Applications Integration by Parts Area Between Two Curves Differential Equations and Applications Differential Equations: Limited Growth and Logistic Models 14. Multivariable Functions and Partial Derivatives Multivariable Functions Partial Derivatives Multivariable Maxima and Minima Constrained Maxima and Minima and Applications
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