Mathematics with Applications
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Mathematics with Applications

Mathematics with Applications

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About the Book

Best known for realistic and varied applications, an abundance of helpful pedagogy, and solid algebra review, the new edition of this text offers updated and new applications, and increased optional graphing calculator technology. - NEW! New full color design is used pedagogically for clearer understanding of figures and concepts. - NEW! MyMathLab is now available for this text for the first time. All of the texts many electronic resources can be found on MyMathLab. - NEW! MathXL is now available for the text, allowing students to take tests and quizzes online. - NEW! A Finite Version of the text is now available, which includes Chapters 1-10. - Applications. A wide variety of realistic and timely applications are featured, both in text examples and problem sets. Many are based on real data cited from journals and periodicals. Application problems are labeled by subject: management, social science, natural science, or physical science. An Index of Applications groups applications by these categories. - Case Studies. Chapter-ending case studies based on real data give students the opportunity to further apply all theyve learned in the chapter. - Technology Tips. For those who choose to use graphing technology, Technology Tips inform students of various features on their graphing calculators and give specific directions for accessing them. - Graphing Calculator Program Appendix now available for those who choose to use graphing calculators. Appendix includes two types of programs: those that do tasks discussed in the text, and those that update functions in older model calculators. - Margin Exercises allow students to get immediate feedback on their understanding of the material. - Writing and conceptual exercises promote critical thinking and deeper understanding of the mathematics. - Connection Exercises require students to call on material studied in earlier sections. - A flexible organization allows instructors to pick and choose the topics they would like to cover.

Table of Contents:
(Chapter Summary and Review Exercises appear at the end of each chapter.) 1. Algebra and Equations. The Real Numbers. Polynomials. Factoring. Rational Expressions. Exponents and Radicals. First-degree Equations. Quadratic Equations. 2. Graphs, Lines, and Inequalities. Graphs. Equations of Lines. Linear Models (new section). Linear Inequalities. Polynomial and Rational Inequalities. 3. Functions and Graphs. Functions. Graphs of Functions. Applications of Linear Functions. Quadratic Functions. Applications of Quadratic Functions. Polynomial Functions (including polynomial regression models). Rational Functions. 4. Exponential and Logarithmic Functions. Exponential Functions. Applications of Exponential Functions (including exponential regression models). Logarithmic Functions. Logarithmic and Exponential Functions. 5. Mathematics of Finance. Simple Interest and Discount. Compound Interest. Future Value of an Annuity and Sinking Funds. Present Value of an Annuity and Amortization. 6. Systems of Linear Equations and Matrices. Systems of Linear Equations. The Gauss-Jordan Method. Basic Matrix Operations. Matrix Products and Inverses. Applications of Matrices. 7. Linear Programming. Graphing Linear Inequalities in Two Variables. Linear Programming: The Graphical Method. Applications of Linear Programming. The Simplex Method: Maximization. Maximization Applications. The Simplex Method: Duality and Minimization. The Simplex Method: Nonstandard Problems. 8. Sets and Probability. Sets. Applications of Venn Diagrams. Introduction to Probability. Basic Concepts of Probability. Conditional Probability and Independent Events. Bayes' Formula. 9. Counting, Probability, Distributions, and Further Topics in Probability. Permutations and Combinations. Applications of Counting. Binomial Probability. Probability Distributions and Expected Value. Markov Chains. Decision Making. 10. Introduction to Statistics. Frequency Distributions and Measures of Central Tendency. Measures of Variation. Normal Distributions. Normal Approximation to the Binomial Distribution. 11. Differential Calculus. Limits. Rates of Change. Tangent Lines and Derivative. Techniques for Finding Derivatives. Derivatives of Products and Quotients. The Chain Rule. Derivatives of Exponential and Logarithmic Functions. Continuity and Differentiability. 12. Applications of the Derivative. Derivatives and Graphs. The Second Derivative. Optimization Applications. Curve Sketching. 13. Integral Calculus. Antideriviatives. Integration by Substitution. Area and the Definite Integral. The Fundamental Theorem of Calculus. Applications of Integrals. Tables of Integrals (Optional). Differential Equations. 14. Multivariate Calculus. Functions of Several Variables. Partial Derivatives. Extrema of Functions of Several Variables. Appendix A: Graphing Calculators. Appendix B: Tables.


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Product Details
  • ISBN-13: 9780201755299
  • Publisher: Pearson Education (US)
  • Publisher Imprint: Pearson
  • Height: 260 mm
  • No of Pages: 936
  • Weight: 1831 gr
  • ISBN-10: 0201755297
  • Publisher Date: 09 Aug 2002
  • Binding: Hardback
  • Language: English
  • Spine Width: 34 mm
  • Width: 262 mm


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