Applied Calculus

ISBN-10: 1439049238

ISBN-13: 9781439049235

Edition: 5th 2011

List price: $299.95
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Book details

List price: $299.95
Edition: 5th
Copyright year: 2011
Publisher: Brooks/Cole
Publication date: 1/1/2010
Binding: Hardcover
Pages: 752
Size: 8.00" wide x 10.00" long x 1.25" tall
Weight: 3.234
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 natural to extend their research collaboration to a joint textbook writing project that expressed these ideals. To this day they continue to work together on their textbook projects, their research in algebraic topology, and their teaching.

Precalculus Review
Real Numbers
Exponents and Radicals
Multiplying and Factoring Algebraic Equations
Rational Expressions
Solving Polynomial Equations
Solving Miscellaneous Equations
The Coordinate Plane
Functions and Linear Models
Functions from the Numerical, Algebraic, and Graphical Viewpoints
Applications: Functions and Models
Linear Functions and Models
Linear Regression
Key Concepts
Review Exercises
Case Study: Modeling Spending on Internet Advertising
Technology Guides
Optional Internet Topic: New Functions from Old: Scaled and Shifted Functions
Nonlinear Functions and Models
Quadratic Functions and Models
Exponential Functions and Models
Logarithmic Functions and Models
Logistic Functions and Models
Key Concepts
Review Exercises
Case Study: Checking up on Malthus
Technology Guides
Optional Internet Topics: Inverse Functions
Using and Deriving Algebraic Properties of Logarithms
Introduction to the Derivative
Limits: Numerical and Graphical Approaches
Limits and Continuity
Limits: Algebraic Approach
Average Rate of Change
Derivatives: Numerical and Graphical Viewpoints
Derivatives: Algebraic Viewpoint
Key Concepts
Review Exercises
Case Study: Reducing Sulfur Emissions
Technology Guides
Optional Internet Topics: Sketching the Graph of the Derivative
Proof of the Power Rule
Continuity and Differentiability
Techniques of Differentiation with Applications
Derivatives of Powers, Sums, and Constant Multiples
A First Application: Marginalnalysis
The Product and Quotient Rules
The Chain Rule
Derivatives of Logarithmic and Exponential Functions
Implicit Differentiation
Key Concepts
Review Exercises
Case Study: Projecting Market Growth
Technology Guides
Optional Internet Topic: Linear Approximation and Error Estimation
Further Applications of the Derivative
Maxima and Minima
Applications of Maxima and Minima
Higher Order Derivatives: Acceleration and Concavity
Analyzing Graphs
Related Rates
Elasticity
Key Concepts
Review Exercises
Case Study: Production Lot Size Management
Technology Guides
The Integral
The Indefinite Integral
Substitution
The Definite Integral: Numerical and Graphical Approaches
The Definite Integral: Algebraic Approach and the Fundamental Theorem of Calculus
Key Concepts
Review Exercises
Case Study: Wage Inflation
Technology Guides
Optional Internet Topic: Numerical Integration
Further Integration Techniques and Applications of the Integral
Integration by Parts
Area Between Two Curves and Applications
Averages and Moving Averages
Applications to Business and Economics: Consumers' and Producers' Surplus and Continuous Income Streams
Improper Integrals and Applications
Differential Equations and Applications
Key Concepts
Review Exercises
Case Study: Estimating Tax Revenues
Technology Guides
Optional Internet Topic: Taylor Polynomials
Functions of Several Variables
Functions of Several Variables from the Numerical, Algebraic, and Graphical Viewpoints
Partial Derivatives
Maxima and Minima
Constrained Maxima and Minima and Applications
Double Integrals and Applications
Key Concepts
Review Exercises
Case Study: Modeling Household Income
Technology Guides
Optional Internet Topic: The Chain Rule for Functions of Several Variables
Trigonometric Models
Trigonometric Functions, Models, and Regression
Derivatives of Trigonometric Functions and Applications
Integrals of Trigonometric Functions and Applications
Key Concepts
Review Exercises
Case Study: Predicting Cocoa Inventories
Technology Guides
Answers to Selected Exercises
Index
Optional Internet Topic
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
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