Applied Calculus

by Waner, Stefan; Costenoble, Steven

• ISBN13: 9780534366315
• ISBN10: 0534366317
• Format: Hardcover
• Copyright: 2000-11-29
• Publisher: Brooks Cole

Summary

Capturing student interest with a wealth of relevant, real world applications, Stefan Waner and Steven Costenoble's APPLIED CALCULUS, Fourth Edition makes the material come alive for students! Providing maximum flexibility with the use of technology, the book integrates the use of spreadsheets and graphing calculators with instructions for Microsoft Excel and the TI-83. This technology material is clearly delineated so instructors can use as much or as little as they would like for their course. The popular accompanying website also provides a wealth of interactive tutorials, exercises, and online support. Connecting with all types of teaching and learning styles, Waner/Costenoble supports a wide range of instructional paradigms: from traditional lecture to a hybrid course to distance learning.

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.