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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

AuthorTable of Contents

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… More 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.Less

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… More 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.Less

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

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