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Applied Calculus (with InfoTrac)

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ISBN-10: 0534419585

ISBN-13: 9780534419585

Edition: 3rd 2004 (Revised)

Authors: Stefan Waner, Steven R. Costenoble

List price: $307.95
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Stefan Waner and Steven Costenoble's APPLIED CALCULUS, Third Edition is designed to address the considerable challenge of generating enthusiasm and developing mathematical sophistication in applied mathematics courses offered on many college campuses. The new edition retains its engaging conversational style and focus on real data and real world applications of mathematics--a strategy that has proven to be pedagogically successful. The wealth of applications, the highly effective integrated, yet optional, use of graphing calculators or spreadsheets, and the robust supplemental Web site that has received praise from around the world, make Waner/Costenoble's text an outstanding choice.
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Book details

List price: $307.95
Edition: 3rd
Copyright year: 2004
Publisher: Brooks/Cole
Publication date: 7/16/2003
Binding: Hardcover
Pages: 608
Size: 8.00" wide x 10.25" long x 1.00" tall
Weight: 2.948
Language: English

Stefan Waner and Steven R. Costenoble both received their Ph.D. from the University of Chicago, having studied several years apart with the same advisor, J. Peter May. Their paths merged when Steven joined Stefan at Hofstra University in 1987; since then they have coauthored 15 research papers in algebraic topology. By the early 1990s they had become dissatisfied with many of the Finite Mathematics and Applied Calculus textbooks. They wanted textbooks that were more readable and relevant to students' interests, containing examples and exercises that were interesting, and reflected the interactive approaches and techniques they found worked well with their own students. It therefore seemed…    

Stefan Waner and Steven R. Costenoble both received their Ph.D. from the University of Chicago, having studied several years apart with the same advisor, J. Peter May. Their paths merged when Steven joined Stefan at Hofstra University in 1987; since then they have coauthored 15 research papers in algebraic topology. By the early 1990s they had become dissatisfied with many of the Finite Mathematics and Applied Calculus textbooks. They wanted textbooks that were more readable and relevant to students' interests, containing examples and exercises that were interesting, and reflected the interactive approaches and techniques they found worked well with their own students. It therefore seemed…    

Linear Functions and Models
Introduction
Functions from the Numerical and Algebraic Viewpoints
Functions from the Graphical Viewpoint
Linear Functions
Linear Models
Linear Regression
Case Study: Modeling Spending on Internet Advertising
Optional Internet Topic: New Functions from Old: Scaled and Shifted Functions
Nonlinear Models
Introduction
Quadratic Functions and Models
Exponential Functions and Models
Logarithmic Functions and Models
Logistic Functions and Models
Case Study: Checking up on Malthus
Optional Internet Topics: Inverse Functions
Linear and Exponential Regression
Using and Deriving Algebraic Properties of Logarithms
Introduction to the Derivative
Introduction
Average Rate of Change
The Derivative: Numerical and Graphical Viewpoints
The Derivative : Algebraic Viewpoint
Derivatives of Powers, Sums, and Constant Multiples
A First Application: Marginal Analysis
Limits: Numerical and Graphical Approaches
Limits and Continuity
Limits and Continuity: Algebraic Approach
Case Study: Reducing Sulfur Emissions
Optional Internet Topics: Sketching the Graph of the Derivative
Proof of the Power Rule
Continuity and Differentiability
Techniques of Differentiation
Introduction
The Product and Quotient Rules
The Chain Rule
Derivatives of Logarithmic and Exponential Functions
Implicit Differentiation
Case Study: Projecting Market Growth
Optional Internet Topic: Linear Approximation and Error Estimation
Applications of the Derivative
Introduction
Maxima and Minima
Applications of Maxima and Minima
The Second Derivative and Analyzing Graphs
Related Rates
Elasticity
Case Study: Production Lot Size Management
The Integral
Introduction
The Indefinite Integral
Substitution
The Definite Integral as a Sum: A Numerical Approach
The Definite Integral as Area: A Geometric Approach
The Definite Integral: An Algebraic Approach and the Fundamental Theorem of Calculus
Case Study: Wage Inflation
Optional Internet Topic: Numerical Integration
Further Integration Techniques and Applications of the Integral
Introduction
Integration by Parts
Area Between Two Curves and Applications
Averages and Moving Averages
Continuous Income Streams
Improper Integrals and Applications
Differential Equations and Applications
Case Study: Estimating Tax Revenues
Functions of Several Variables
Introduction
Functions of Several Variables from the Numerical and Algebraic Viewpoints
Three Dimensional Space and the Graph of a Function of Two Variables
Partial Derivatives
Maxima and Minima
Constrained Maxima and Minima and Applications
Double Integrals
Case Study: Modeling Household Income
Trigonometric Models
Introduction
Trigonometric Functions, Models, and Regression
Derivatives of Trigonometric Functions and Applications
Integrals of Trigonometric Functions and Applications
Case Study: Predicting Cocoa Inventories
Appendix A: Algebra Review
Introduction
Real Numbers
Exponents and Radicals
Multiplying and Factoring Algebraic Equations
Rational Expressions
Solving Polynomial Equations
Solving Miscellaneous Equations
Optional Internet Chapters. S
Calculus Applied to Probability and Statistics
Introduction
Continuous Random Variables and Histograms
Probability Density Functions: Uniform, Exponential, Normal, and Beta
Mean, Median, Variance and Standard Deviation
Case Study: Creating a Family Trust