Concepts of Calculus with Applications

by Goshaw, Martha

• ISBN13: 9780321320780
• ISBN10: 0321320786
• Edition: 1st
• Format: Hardcover
• Copyright: 2008-01-01
• Publisher: Addison Wesley

Summary

Today's applied calculus course is largely filled with non-majors looking for the skills and concepts to help them in future careers. Martha Goshaw understands these students and has written a book that, in language and scope, fits their needs. Drawing from her XX successful years of classroom experience, she has culled back some traditional topics and theoretical detail for a more modern, student-friendly presentation. She focuses on key concepts and skills, and points out areas where students typically struggle. The result is a more interesting, more meaningful, and less stress-inducing course--that still provides everything students need to succeed after college.

Table of Contents

Function Review

Linear and Absolute Value Functions

Non-linear Functions

Topic 3

Regression and Modeling

Review and Test

Limits and Derivatives

Introduction to Limits

Continuity

Rates of Change and Slope

Introduction to the Derivative

Derivatives of Algebraic Functions

Product, Quotient, and Chain Rules

Higher Order Derivatives

Exponential and Logarithmic Functions

Derivatives of Exponential and Logarithmic Functions

Review and Test

Applications of the Derivative

Graphs of Functions and the First Derivative Test

Second Derivative Test and graphs of functions

Absolute Extrema

Optimization

Business Applications

Related Rates and Implicit Differentiation

The Integral and its Applications

Anti-derivatives and Integrals

Rules for Integration

Substitution Techniques for Integration

Definite Integrals

Areas and Definite Integrals

Applications of Definite Integrals

Other Methods of Integration

Differential equations

Review and Test

Multivariable Calculus

Introduction to Functions of More than One Variable

Partial Derivatives

Optimization and LaGrange Multipliers

Double Integrals

Review and Test

Appendix

Check Your Understanding Solutions

Geometry Formulas

Table of Integrals

Glossary of Important Terms

Answers to Odd-Numbered Topic Exercises

Index

Table of Contents provided by Publisher. All Rights Reserved.