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Cover type: Hardback

Edition: 6TH 13

Copyright: 2013

Publisher: Brooks/Cole Publishing Co.

Published: 2013

International: No

Edition: 6TH 13

Copyright: 2013

Publisher: Brooks/Cole Publishing Co.

Published: 2013

International: No

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This text uses intriguing real-world applications to engage readers' interest and show them the practical side of calculus. The book's many applications are related to finance, business, and such general-interest topics as the growing population of Africa, the composition of the Supreme Court, water shortage, the fastest pitch in baseball, and pollution and the depletion of natural resources. The Sixth Edition maintains the hallmark features that have made APPLIED CALCULUS, BRIEF so popular: contemporary and interesting applications; careful and effective use of technology, including graphing calculator and spreadsheet coverage; constant pedagogical reinforcement through section summaries, chapter summaries, annotated examples, and extra practice problems; Just-in-Time algebra review material; and a variety of exercises that allow readers to practice and hone their problem-solving skills.

Dr. Berresford received his Ph.D. from the Courant Institute of Mathematical Sciences at New York University and taught at the State University of New York at Purchase before joining the faculty at the C.W. Post campus of Long Island University. Besides co-authoring four textbooks with Dr. Rockett, he has published papers in differential equations, linear programming, logic, and probability, and has recieved several teaching awards and the Distinguished Service Award from The Metropolitan New York Section of the Mathematical Association of America.

After completing his Ph.D. at Stony Brook University, Dr. Rockett joined the mathematics faculty at C.W. Post and began his collaborations with Dr. Berresford. His book with Peter Szusz on 'Continued Fractions' (1992) was hailed by Ivan Niven as ?an outstanding addition to the literature of mathematics,? and he served the Kappa Mu Epsilon mathematics honor society as editor of the mathematics journal 'The Pentagon' from 1989 to 1995. Dr. Rockett serves as a reviewer for several journals including Mathematical Reviews for the American Mathematical Society.

1. FUNCTIONS. Real Numbers, Inequalities, and Lines. Exponents. Functions: Linear and Quadratic. Functions: Polynomial, Rational, and Exponential. 2. DERIVATIVES AND THEIR USES. Limits and Continuity. Rates of Change, Slopes, and Derivatives. Some Differentiation Formulas. The Product and Quotient Rules. Higher-Order Derivatives. The Chain Rule and the Generalized Power Rule. Nondifferentiable Functions. 3. FURTHER APPLICATIONS OF DERIVATIVES. Graphing Using the First Derivative. Graphing Using the First and Second Derivatives. Optimization. Further Applications of Optimization. Optimizing Lot Size and Harvest Size. Implicit Differentiation and Related Rates. 4. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Exponential Functions. Logarithmic Functions. Differentiation of Logarithmic and Exponential Functions. Two Applications to Economics: Relative Rates and Elasticity of Demand. 5. INTEGRATION AND ITS APPLICATIONS. Antiderivatives and Indefinite Integrals. Integration Using Logarithmic and Exponential Functions. Definite Integrals and Areas. Further Applications of Definite Integrals: Average Value and Area Between Curves. Two Applications to Economics: Consumers' Surplus and Income Distribution. Integration by Substitution. 6. INTEGRATION TECHNIQUES. Integration by Parts. Integration Using Tables. Improper Integrals. Numerical Integration. Differential Equations. Further Applications of Differential Equations: Three Models of Growth. 7. CALCULUS OF SEVERAL VARIABLES. Functions of Several Variables. Partial Derivatives. Optimizing Functions of Several Variables. Least Squares. Lagrange Multipliers and Constrained Optimization. Total Differentials and Approximate Changes. Multiple Integrals.

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Summary

This text uses intriguing real-world applications to engage readers' interest and show them the practical side of calculus. The book's many applications are related to finance, business, and such general-interest topics as the growing population of Africa, the composition of the Supreme Court, water shortage, the fastest pitch in baseball, and pollution and the depletion of natural resources. The Sixth Edition maintains the hallmark features that have made APPLIED CALCULUS, BRIEF so popular: contemporary and interesting applications; careful and effective use of technology, including graphing calculator and spreadsheet coverage; constant pedagogical reinforcement through section summaries, chapter summaries, annotated examples, and extra practice problems; Just-in-Time algebra review material; and a variety of exercises that allow readers to practice and hone their problem-solving skills.

Author Bio

Dr. Berresford received his Ph.D. from the Courant Institute of Mathematical Sciences at New York University and taught at the State University of New York at Purchase before joining the faculty at the C.W. Post campus of Long Island University. Besides co-authoring four textbooks with Dr. Rockett, he has published papers in differential equations, linear programming, logic, and probability, and has recieved several teaching awards and the Distinguished Service Award from The Metropolitan New York Section of the Mathematical Association of America.

After completing his Ph.D. at Stony Brook University, Dr. Rockett joined the mathematics faculty at C.W. Post and began his collaborations with Dr. Berresford. His book with Peter Szusz on 'Continued Fractions' (1992) was hailed by Ivan Niven as ?an outstanding addition to the literature of mathematics,? and he served the Kappa Mu Epsilon mathematics honor society as editor of the mathematics journal 'The Pentagon' from 1989 to 1995. Dr. Rockett serves as a reviewer for several journals including Mathematical Reviews for the American Mathematical Society.

Table of Contents

1. FUNCTIONS. Real Numbers, Inequalities, and Lines. Exponents. Functions: Linear and Quadratic. Functions: Polynomial, Rational, and Exponential. 2. DERIVATIVES AND THEIR USES. Limits and Continuity. Rates of Change, Slopes, and Derivatives. Some Differentiation Formulas. The Product and Quotient Rules. Higher-Order Derivatives. The Chain Rule and the Generalized Power Rule. Nondifferentiable Functions. 3. FURTHER APPLICATIONS OF DERIVATIVES. Graphing Using the First Derivative. Graphing Using the First and Second Derivatives. Optimization. Further Applications of Optimization. Optimizing Lot Size and Harvest Size. Implicit Differentiation and Related Rates. 4. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Exponential Functions. Logarithmic Functions. Differentiation of Logarithmic and Exponential Functions. Two Applications to Economics: Relative Rates and Elasticity of Demand. 5. INTEGRATION AND ITS APPLICATIONS. Antiderivatives and Indefinite Integrals. Integration Using Logarithmic and Exponential Functions. Definite Integrals and Areas. Further Applications of Definite Integrals: Average Value and Area Between Curves. Two Applications to Economics: Consumers' Surplus and Income Distribution. Integration by Substitution. 6. INTEGRATION TECHNIQUES. Integration by Parts. Integration Using Tables. Improper Integrals. Numerical Integration. Differential Equations. Further Applications of Differential Equations: Three Models of Growth. 7. CALCULUS OF SEVERAL VARIABLES. Functions of Several Variables. Partial Derivatives. Optimizing Functions of Several Variables. Least Squares. Lagrange Multipliers and Constrained Optimization. Total Differentials and Approximate Changes. Multiple Integrals.

Digital Rights
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Being online is not required for reading an eTextbook after successfully downloading it. You must only be connected to the Internet during the download process.

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**Copying:** Allowed, 10 selections may be copied every 180 days

**Printing:** Allowed, 10 prints for 180 days

**Expires:** Yes, may be used for 180 days after activation

**Reading Aloud:** Allowed

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**Min. Software Version:** Online: No additional software required

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**Copying** - Books that cannot be copied will show "Not Allowed." Otherwise, this will detail the number of times it can be copied, or "Allowed with no limits."

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Publisher Info

Publisher: Brooks/Cole Publishing Co.

Published: 2013

International: No

Published: 2013

International: No

After completing his Ph.D. at Stony Brook University, Dr. Rockett joined the mathematics faculty at C.W. Post and began his collaborations with Dr. Berresford. His book with Peter Szusz on 'Continued Fractions' (1992) was hailed by Ivan Niven as ?an outstanding addition to the literature of mathematics,? and he served the Kappa Mu Epsilon mathematics honor society as editor of the mathematics journal 'The Pentagon' from 1989 to 1995. Dr. Rockett serves as a reviewer for several journals including Mathematical Reviews for the American Mathematical Society.

- Windows 7/8, or Mac OS X 10.6 or above

eTextbooks and eChapters can be viewed by using the free reader listed below.

Be sure to check the format of the eTextbook/eChapter you purchase to know which reader you will need. After purchasing your eTextbook or eChapter, you will be emailed instructions on where and how to download your free reader.

Due to the size of eTextbooks, a high-speed Internet connection (cable modem, DSL, LAN) is required for download stability and speed. Your connection can be wired or wireless.

Being online is not required for reading an eTextbook after successfully downloading it. You must only be connected to the Internet during the download process.

Click Here to access the VitalSource Bookshelf FAQ

VitalSource

**Copying:** Allowed, 10 selections may be copied every 180 days

**Printing:** Allowed, 10 prints for 180 days

**Expires:** Yes, may be used for 180 days after activation

**Reading Aloud:** Allowed

**Sharing:** Not Allowed

**Min. Software Version:** Online: No additional software required

Offline: VitalSource Bookshelf

**Suitable Devices:** PCs, Tablet PCs, Macs, Laptops

**Copying** - Books that cannot be copied will show "Not Allowed." Otherwise, this will detail the number of times it can be copied, or "Allowed with no limits."

Offline: VitalSource Bookshelf

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