Applied Calculus

ISBN-10: 0471681210

ISBN-13: 9780471681212

Edition: 3rd 2006 (Revised)

List price: $181.95
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Description: APPLIED CALCULUS, 3/E brings together the best of both new and traditional curricula to meet the needs of today's students. The author team's extensive teaching experience and proven ability to write innovative and relevant problems has made this text a true bestseller. Exciting new real-world applications make this new edition even more meaningful to students in management, life and social sciences. This book will work well for those departments seeking a middle ground for their instructors. APPLIED CALCULUS, 3/E exhibits the same strengths from earlier editions including the "Rule of Four," an emphasis on concepts and modeling, exposition that students can read and understand and a flexible approach to technology. The conceptual and modeling problems, praised for their creativity and variety, continue to motivate and challenge students.

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Book details

List price: $181.95
Edition: 3rd
Copyright year: 2006
Publisher: John Wiley & Sons, Incorporated
Publication date: 5/30/2006
Binding: Paperback
Pages: 528
Size: 8.50" wide x 10.75" long x 1.00" tall
Weight: 2.332
Language: English

Functions and Change
What is a Function?
Linear Functions
Rates of Change
Applications of Functions to Economics
Exponential Functions
The Natural Logarithm
Exponential Growth and Decay
New Functions From Old
Proportionality, Power Functions and Polynomials
Periodic Functions
Review of Chapter 1
Focus on Modeling
Fitting Formulas to Data
Compound Interest and the Number e
Focus on Theory
Limits to Infinity and end Behavior
Rate of Change: The Derivative
Instantaneous Rate of Change
The Derivative Function
Interpretations of the Derivative
The Second Derivative
Marginal Cost and Revenue
Review of Chapter 2
Focus on Theory
Limits, Continuity, and the Definition of the Derivative
Short-Cuts to Differentiation
Derivative Formulas for Powers and Polynomials
Exponential and Logarithmic Functions
The Chain Rule
The Product and Quotient Rules
Derivatives of Periodic Functions
Review of Chapter 3
Focus on Theory
Establishing Derivative Formulas
Focus on Practice
Using the Derivative
Local Maxima and Minima
Inflection Points
Global Maxima and Minima
Profit, Cost, and Revenue
Average Cost
Elasticity of Demand
Logistic Growth
The Surge Function and Drug Concentration
Review of Chapter 4
Accumulated Change: The Definite Integral
Accumulated Change
The Definite Integral
The Definite Integral as Area
Interpretations of the Definite Integral
The Fundamental Theorem of Calculus
Review of Chapter 5
Focus on Theory
Theorems About Definite Integrals
Using the Integral
Average Value
Consumer and Producer Surplus
Present and Future Value
Relative Growth Rates
Review of Chapter 6
Constructing Antiderivatives Analytically
Integration by Substitution
Using the Fundamental Theorem to Find Definite Integrals
Analyzing Antiderivatives Graphically and Numerically
Review of Chapter 7
Density Functions
Cumulative Distribution Functions and Probability
The Median and the Mean
Review of Chapter 8
Functions of Several Variables
Understanding Functions of Two Variables
Contour Diagrams
Partial Derivatives
Computing Partial Derivatives Algebraically
Critical Points and Optimization
Constrained Optimization
Review of Chapter 9
Focus on Theory
Deriving the Formula for a Regression Line
Mathematical Modeling Using Differential Equations
Math Modeling: Setting Up a Differential Equation
Solutions of Differential Equations
Slope Fields
Exponential Growth and Decay
Applications and Modeling
Modeling the Interaction of Two Populations
Modeling the Spread of a Disease
Review of Chapter 10
Focus on Theory
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