Concepts of Calculus With Applications, Updated Edition

by Goshaw, Martha

• ISBN13: 9780321577443
• ISBN10: 0321577442
• Edition: 1st
• Format: Hardcover
• Copyright: 2008-07-01
• Publisher: Pearson

Summary

KEY BENEFITS: Martha Goshawrs"sConcepts of Calculus with Applications, Updated Edition, 1/e, is the next generation of calculus textbook for the next generation of students and instructors. Martha is a new kind of textbook author, drawing from her many successful years in the classroom to bring calculus to life. This text is written in Marthars"s natural classroom voice, using a cheerful, student-friendly presentation to engage non-majors in the modern applied calculus course. With her deep knowledge of how students think and study, Marthars"s approach helps students with every homework assignment and exam, with ample algebra review before every topic and multiple types of study tools. Now for the first time ever, MyMathLab reg; makes available a wide array of online homework, tutorial, and assessment tools, making the most of both studentsrs" and instructorsrs" time. KEY TOPICS: Function review, Limits and Derivatives, Applications of the Derivative, The Integral and its Applications, Multivariable Calculus. MARKET: For all readers interested in Calculus

Author Biography

Martha Goshaw received her BA in mathematics from West Virginia Wesleyan College, her MA in mathematics from West Virginia University, and her Education Specialist degree in mathematics education from the University of Virginia.  She is currently Professor of Mathematics at Seminole Community College in Sanford, Florida, where she teaches statistics and applied calculus, both in the classroom and via distance education.  Prior to moving to Florida in 2000, she was a full-time faculty member at Piedmont Virginia Community College.  Martha is an active member of AMATYC and served a six-year term as Secretary of the AMATYC Executive Board.  She is also Past President of FTYCMA (Florida Two-Year College Mathematics Association) and was the founding president of VMATYC (Virginia Mathematical Association of Two-Year Colleges). 

Table of Contents

Function Review

Linear and Absolute Value Functions

Non linear Functions

Rational and Piece wise Defined Functions

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

First Derivative Test and Graphs of Functions

Second Derivative Test and Graphs of Functions

Absolute Extrema

Optimization

Business Applications

Implicit Differentiation and Related Rates

Review and Test

The Integral and its Applications

Anti derivatives and Integrals

More 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

Geometry Formulas

A Brief Table of Integrals

Glossary of Important Terms?

Glossary of Important Terms

Exercises

Index

Table of Contents provided by Publisher. All Rights Reserved.