Applied Calculus (with Personal Tutor with SMARTHINKING, Premium Web Site Printed Access Card)

by Waner, Stefan; Costenoble, Steven

• ISBN13: 9780495017042
• ISBN10: 0495017043
• Edition: 4th
• Format: Hardcover
• Copyright: 2006-08-10
• Publisher: Brooks Cole

Summary

Take calculus into the real world with APPLIED CALCULUS. Authors Waner and Costenoble make applied calculus easy to understand and relevant to your interests. And, this textbook interfaces with your graphing calculator and your home spreadsheet program. Plus it comes with AppliedCalculusNOW. After a simple pre-test, the AppliedCalculusNOW online learning system customizes all the exercises and class information around your individual needs. This edition also comes with Personal Tutor with SMARTHINKING, which gives you access to one-on-one, online tutoring help with an expert in the subject. And it gives you a virtual study group, too¿interact with the tutor and other students using two-way audio, an interactive whiteboard for discussing the problem, and instant messaging.

Table of Contents

Linear Functions and Models

Functions from the Numerical and Algebraic Viewpoints

Functions from the Graphical Viewpoint

Linear Functions

Linear Models

Linear Regression

Chapter Project: Modeling Spending on Internet Advertising

Optional Internet Topic: New Functions from Old: Scaled and Shifted Functions

Nonlinear Models

Quadratic Functions and Models

Exponential Functions and Models

Logarithmic Functions and Models

Logistic Functions and Models

Chapter Project: Checking up on Malthus

Optional Internet Topics: Inverse Functions

Linear and Exponential Regression

Using and Deriving Algebraic Properties of Logarithms

Introduction to the Derivative

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

Chapter Project: Reducing Sulfur Emissions

Optional Internet Topics: Sketching the Graph of the Derivative

Proof of the Power Rule

Continuity and Differentiability

Techniques of Differentiation

The Product and Quotient Rules

The Chain Rule

Derivatives of Logarithmic and Exponential Functions

Implicit Differentiation

Chapter Project: Projecting Market Growth

Optional Internet Topic: Linear Approximation and Error Estimation

Applications of the Derivative

Maxima and Minima

Applications of Maxima and Minima

The Second Derivative and Analyzing Graphs

Related Rates

Elasticity

Chapter Project: Production Lot Size Management

The Integral

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

Chapter Project: Wage Inflation

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

Continuous Income Streams

Improper Integrals and Applications

Differential Equations and Applications

Chapter Project: Estimating Tax Revenues

Functions of Several Variables

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

Chapter Project: Modeling Household Income

Trigonometric Models

Trigonometric Functions, Models, and Regression

Derivatives of Trigonometric Functions and Applications

Integrals of Trigonometric Functions and Applications

Chapter Project: Predicting Cocoa Inventories

Algebra Review

Optional Internet Chapters

S. Calculus Applied to Probability and Statistics

Continuous Random Variables and Histograms

Probability Density Functions: Uniform, Exponential, Normal, and Beta

Mean, Median, Variance and Standard Deviation

Chapter Project: Creating a Family Trust

Table of Contents provided by Publisher. All Rights Reserved.