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Brief Calculus The Study of Rates of Change

ISBN-10: 0137549040

ISBN-13: 9780137549047

Edition: 2000

Authors: William A. Armstrong, Don Davis

List price: $110.67
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Book details

List price: $110.67
Copyright year: 2000
Publisher: Prentice Hall PTR
Publication date: 12/21/1999
Binding: Hardcover
Pages: 684
Size: 8.50" wide x 10.50" long x 1.00" tall
Weight: 3.190
Language: English

Before beginning his career as an author of true crime books, Don Davis worked for 30 years as a UPI correspondent on various assignments, including the Vietnam War and the White House beat. His works since have covered major crimes of the 1990s. They include Bad Blood: The Shocking True Story Behind the Menendez Killings (1994) and The Milwaukee Murders: Nightmare in Apartment 213: The True Story (1991) about the Jeffrey Dahmer case. Davis's other works include his first novel, Appointment With the Squire (1997), about World War II, and another novel, The Gris-Gris Man (1997), a story about voodoo killings in New Orleans. In addition to being a writer and reporter, Davis was an instructor of journalism at Boston University in 1979, and a lecturer at the U.S. Navel War College in 1983.

Preface
Functions, Models, and Average Rate of Change
The Coordinate System and Functions
Linear Functions and Average Rate of Change
Quadratic Functions and Average Rate of Change on an Interval
Operations on Functions
Rational, Radical, and Power Functions
Exponential Functions
Logarithmic Functions
Regression and Mathematical Models
Chapter Review Exercises
Limits, Instantaneous Rate of Change, and the Derivative
Limits
Limits and Asymptotes
Instantaneous Rate of Change and the Derivative
Derivatives of Constants, Powers, and Sums
Derivatives of Products and Quotients
Continuity and Nondifferentiability
Chapter Review Exercises
Applications of the Derivative
The Differential and Linear Approximations
Marginal Analysis
Measuring Rates and Errors
Chapter Review Exercises
Additional Differentiation Techniques
The Chain Rule
Derivatives of Logarithmic Functions
Derivatives of Exponential Functions
Implicit Differentiation and Related Rates
Elasticity of Demand
Chapter Review Exercises
Further Applications of the Derivative
First Derivatives and Graphs
Second Derivatives and Graphs
Graphical Analysis and Curve Sketching
Optimizing Functions on a Closed Interval
The Second Derivative Test and Optimization
Chapter Review Exercises
Integral Calculus
The Indefinite Integral
Area and the Definite Integral
Fundamental Theorem of Calculus
Integration by u-Substitution
Integrals That Yield Logarithmic and Exponential Functions
Differential Equations: Separation of Variables
Differential Equations: Growth and Decay
Chapter Review Exercises
Applications of Integral Calculus
Average Value of a Function and the Definite Integral in Finance
Area between Curves and Applications
Economic Applications of Area between Curves
Integration by Parts
Numerical Integration
Improper Integrals
Chapter Review Exercises
Calculus of Several Variables
Functions of Several Independent Variables
Level Curves, Contour Maps, and Cross-sectional Analysis
Partial Derivatives and Second-order Partial Derivatives
Maxima and Minima
Lagrange Multipliers
Double Integrals
Chapter Review Exercises
Appendices
Essentials of Algebra
Calculator Programs
Selected Proofs
Photo and Illustration Credits
Answers
Index