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Waner and Costenoble's FINITE MATHEMATICS AND APPLIED CALCULUS, Seventh Edition, helps your students see the relevance of mathematics in their lives. A large number of the applications are based on real, referenced data from business, economics, and the life and social sciences. Spreadsheet and TI Graphing Calculator instruction appears throughout the text, supplemented by the WebAssign course, and an acclaimed author website. The end-of-chapter Technology Notes and Technology Guides are optional, allowing you to include in your course precisely the amount of technology instruction you choose. Praised for its accuracy and readability, FINITE MATHEMATICS AND APPLIED CALCULUS is perfect for all types of teaching and learning styles and support.
- AN UNSURPASSED COLLECTION OF EXERCISES at all difficulty levels, and exercises based on real, referenced data on topics that students relate to -- including social media, the 2008 economic crisis and the 2009-2016 economic recovery, the 2014 Ebola epidemic, the SARS outbreak of 2003, the 2010 stock market “flash crash” and many others. The inside back cover lists over 90 corporations referenced in the applications.
- MANY NEW CONCEPTUAL COMMUNICATION AND REASONING EXERCISES, including many dealing with common student errors and misconceptions, have been added.
- LOGARITHMS ARE NOW DISCUSSED IN THE PRECALCULUS REVIEW CHAPTER, up through solving for unknowns in the exponent. Students who need additional preparation in the basis of logarithms can now be assigned this material before studying the section on logarithmic functions and models in Chapter 2. This also makes it easier for instructors who wish to use logarithms in discussions of exponential functions and the mathematics of finance.
- The chapter on nonlinear functions and models has been moved to appear earlier in the book: It is now Chapter 2 rather than Chapter 9. Although this material is not required for the finite mathematics chapters, it fits logically with Chapter 1, which discusses functions in general and linear models, and many instructors prefer to cover this material earlier rather than later.
- Chapter 3, on the mathematics of finance, has been substantially revised, specifically the sections on simple and compound interest and annuities and the exercise sets.
- CASE STUDIES: Each chapter ends with a Case Study, an extended application that uses and illustrates the central ideas of the chapter, focusing on the development of mathematical models appropriate to the topics. Ideal for assignment as projects, these applications conclude with groups of exercises.
- COMMUNICATION AND REASONING EXERCISES FOR WRITING AND DISCUSSION: These exercises, which often have no single correct answer, are designed to broaden students' grasp of the mathematical concepts and develop modeling skills. They include exercises in which the student is asked to provide his or her own examples to illustrate a point or design an application with a given solution. They also include "fill-in-the-blank" type exercises, exercises that invite discussion and debate, and exercises in which the student must identify common errors, or sometimes make up their own applications.
- AUTHOR WEBSITE: The authors' website gives instructors powerful online tools that can be used in the classroom to do everything from graphing and evaluating functions to displaying and computing integrals and Riemann sums and solving linear programming problems both graphically and with the simplex method. Instructors often use the online interactive tutorials as teaching tools that invite class participation, and the randomized “game tutorials” may be used for in-class quizzes that teach as they test. An interactive e-book provides exercises and topics not in the printed book.
- WEBASSIGN: FINITE MATHEMATICS AND APPLIED CALCULUS, 7th Edition, is fully supported by WebAssign, the powerful online homework and course management system that engages students in learning the math. WebAssign includes new end-of-chapter exercises and pre-built assignments vetted by trusted subject matter experts along with robust course, section, assignment, and question settings and online testing to help instructors foster a deeper understanding of course concepts.
- QUICK EXAMPLES: Most definition boxes include quick, straightforward examples that students can use to solidify their understanding of each new concept.
- INNOVATIVE PEDAGOGY: Question-and-Answer Dialogues, End-of-Section FAQs, and Before We Go On -- The text frequently uses informal question-and-answer dialogues that anticipate the kinds of questions that may occur to students, and thereby guide students through the development of new concepts. Most examples are followed by supplementary “Before We Go On” discussions, which may include a check on the answer, a discussion of the feasibility and significance of a solution, or an in-depth look at what the solution means.
- MARGINAL TECHNOLOGY NOTES AND END-OF-CHAPTER TECHNOLOGY GUIDES: Brief marginal technology notes outline the use of graphing calculator, spreadsheet, and website technology in appropriate examples. When necessary, the reader is referred to more detailed discussion in the end-of-chapter Technology Guides, which provide detailed TI-83/84 Plus and Spreadsheet Guides at the end of each chapter. Instructors and students can easily use this material or not, as they prefer. Groups of exercises for which the use of technology is suggested or required appear throughout the exercise sets.
Real Numbers. Exponents and Radicals. Multiplying and Factoring Algebraic Equations. Rational Expressions. Solving Polynomial Equations. Solving Miscellaneous Equations. The Coordinate Plane. Logarithms.
1. FUNCTIONS AND APPLICATIONS.
Functions from the Numerical, Algebraic, and Graphical Viewpoints. Functions and Models. Linear Functions and Models. Linear Regression.
2. NONLINEAR FUNCTIONS AND MODELS.
Quadratic Functions and Models. Exponential Functions and Models. Logarithmic Functions and Models. Logistic Functions and Models.
3. THE MATHEMATICS OF FINANCE.
Simple Interest. Compound Interest. Annuities, Loans, and Bonds.
4. SYSTEMS OF LINEAR EQUATIONS AND MATRICES.
Systems of Two Equations in Two Unknowns. Using Matrices to Solve Systems of Equations. Applications of Systems of Linear Equations.
5. MATRIX ALGEBRA AND APPLICATIONS.
Matrix Addition and Scalar Multiplication. Matrix Multiplication. Matrix Inversion. Game Theory. Input-Output Models.
6. LINEAR PROGRAMMING.
Graphing Linear Inequalities. Solving Linear Programming Problems Graphically. The Simplex Method: Solving Standard Maximization Problems. The Simplex Method: Solving General Linear Programming Problems. The Simplex Method and Duality.
7. SETS AND COUNTING.
Sets and Set Operations. Cardinality. The Addition and Multiplication Principles. Permutations and Combinations.
Sample Spaces and Events. Relative Frequency. Probability and Probability Models. Probability and Counting Techniques. Conditional Probability and Independence. Bayes'' Theorem and Applications. Markov Systems.
9. RANDOM VARIABLES AND STATISTICS.
Random Variables and Distributions. Bernoulli Trials and Binomial Random Variables. Measures of Central Tendency. Measures of Dispersion. Normal Distributions.
10. INTRODUCTION TO THE DERIVATIVE.
Limits: Numerical and Graphical Approaches. Limits and Continuity. Limits: Algebraic Approach. Average Rate of Change. Derivatives: Numerical and Graphical Viewpoints. Derivatives: Algebraic Viewpoint.
11. TECHNIQUES OF DIFFERENTIATION.
Derivatives of Powers, Sums, and Constant Multiples. A First Application: Marginal Analysis. The Product and Quotient Rules. The Chain Rule. Derivatives of Logarithmic and Exponential Functions. Implicit Differentiation.
12. APPLICATIONS OF THE DERIVATIVE.
Maxima and Minima. Applications of Maxima and Minima. Higher Order Derivatives: Acceleration and Concavity. Analyzing Graphs. Related Rates. Elasticity.
13. THE INTEGRAL.
The Indefinite Integral. Substitution. The Definite Integral: Numerical and Graphical Approaches. The Definite Integral: Algebraic Approach and the Fundamental Theorem of Calculus.
14. FURTHER INTEGRATION TECHNIQUES AND APPLICATIONS OF THE INTEGRAL.
Integration by Parts. Area Between Two Curves and Applications. Averages and Moving Averages. Applications to Business and Economics: Consumers'' and Producers'' Surplus and Continuous Income Streams. Improper Integrals and Applications. Differential Equations and Applications.
15. FUNCTIONS OF SEVERAL VARIABLES.
Functions of Several Variables from the Numerical, Algebraic, and Graphical Viewpoints. Partial Derivatives. Maxima and Minima. Constrained Maxima and Minima and Applications. Double Integrals and Applications.
16. TRIGONOMETRIC MODELS.
Trigonometric Functions, Models, and Regression. Derivatives of Trigonometric Functions and Applications. Integrals of Trigonometric Functions and Applications.