Applied Calculus

ISBN-10: 0471207926
ISBN-13: 9780471207924
Edition: 2nd 2003 (Revised)
List price: $107.95
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Description: Ensure your success! Purchase the value package textbook and Student Solutions manual for the price of the textbook alone! That2s a $32.95 savings! (Set ISBN: 0471654930) Textbook: Achieving a fine balance between the concepts and procedures of  More...

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Book details

List price: $107.95
Edition: 2nd
Copyright year: 2003
Publisher: John Wiley & Sons, Incorporated
Publication date: 5/2/2002
Binding: Paperback
Pages: 528
Size: 8.25" wide x 10.25" long x 0.75" tall
Weight: 2.090
Language: English

Ensure your success! Purchase the value package textbook and Student Solutions manual for the price of the textbook alone! That2s a $32.95 savings! (Set ISBN: 0471654930) Textbook: Achieving a fine balance between the concepts and procedures of calculus, this applied Calculus text provides students with the solid background they need in the subject with a thorough understanding of its applications in a wide range of fields ? from biology to economics. Key features of this innovative text include: The text is problem driven and features exceptional exercises based on real-world applications. The authors provide alternative avenues through which students can understand the material. Each topic is presented four ways: geometrically, numerically, analytically, and verbally. Students are encouraged to interpret answers and explain their reasoning throughout the book, which the author considers a unique concept compared to other books. Many of the real-world problems are open-ended, meaning that there may be more than one approach and more than one solution, depending on the student2s analysis. Solving a problem often relies on the use of common sense and critical thinking skills. Students are encouraged to develop estimating and approximating skills. The book presents the main ideas of calculus in a clear, simple manner to improve students2 understanding and encourage them to read the examples. Technology is used as a tool to help students visualize the concepts and learn to think mathematically. Graphics calculators, graphing software, or computer algebra systems perfectly complement this book but the emphasis is on the calculus concepts rather than the technology. (Textbook ISBN: 0471207926) Student Solutions Manual: Provides complete solutions to every odd exercise in the text. These solutions will help you develop the strong foundation you need to succeed in your Calculus class and allow you to finish the course with the foundation that you need to apply the calculus you learned to subsequent courses. (Solutions Manual ISBN: 0471213624)

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
Differentiation
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
Antiderivatives
Constructing Antiderivatives Analytically
Integration by Substitution
Using the Fundamental Theorem to Find Definite Integrals
Analyzing Antiderivatives Graphically and Numerically
Review of Chapter 7
Probability
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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