Applied CALC (with Mathematics CourseMate with eBook Printed Access Card)

by Wilson, Frank

• ISBN13: 9780840065636
• ISBN10: 0840065639
• Edition: 1st
• Format: Paperback
• Copyright: 2011-01-01
• Publisher: Brooks Cole

Summary

Created through a "student-tested, faculty-approved" review process Applied CALC is an engaging and accessible solution to accommodate the diverse lifestyles of today's learners at a value-based price. Geared toward business and social science majors, this text equips students with the analytical tools and technological skills they need to be successful in the workplace. Straightforward language and writing style promote conceptual understanding, and the incorporation of real-life applications, examples, and data helps engage students--even those with minimal interest in mathematics. An innovative combination of content delivery both in print and online provides a core text and a wealth of comprehensive multimedia teaching and learning assets, including end-of-chapter review cards, downloadable flashcards and practice problems, online video tutorials, solutions to exercises aimed at supplementing learning outside of the classroom.

Table of Contents

Functions And Linear Models

Functions

Function Notation

Graphs of Functions

Domain and Range

Exercises

Linear Functions

Intercepts

Linear Equations

Finding the Equation of a Line

Other Forms of Linear Equations

Graphing Linear Functions

Exercises

Nonlinear Models

Quadratic Function Models

Exercises

Exponential Function Models

Exponential Function Graphs

Properties of Exponents

Finding an Exponential Function from a Table

Using Exponential Regression to Model Data

Finding an Exponential Function from a Verbal Description

Exercises

The Derivative

Average Rate of Change

Graphical Interpretation of the Difference Quotient

Exercises

Limits and Instantaneous Rates of Change

Limits

Exercises

The Derivative as a Slope: Graphical Methods

Tangent-Line Approximations

Numerical Derivatives

Exercises

The Derivative as a Function: Algebraic Method

Estimating Derivatives

Exercises

Interpreting the Derivative

Exercises

Differentiation Techniques

Basic Derivative Rules

Derivative Notation

The Constant Rule

The Power Rule

Constant Multiple Rule

Sum and Difference Rule

Exercises

The Product and Quotient Rules

Exercises

The Chain Rule

Composition of Functions

The Chain Rule

Chain Rule: Alternative Form

Exercises

Exponential and Logarithmic Rules

Exponential Rule

Logarithmic Rule

Exercises

Implicit Differentiation

Exercises

Derivative Applications

Maxima and Minima

Continuity

Relative and Absolute Extrema

Critical Values

The First Derivative TeSt. Exercises

Applications of Maxima and Minima

Revenue, Cost, and Profit

Area and Volume

Exercises

Concavity and the Second Derivative

Concavity

The Second Derivative TeSt. Point of Diminishing Returns

Position, Velocity, and Acceleration

Curve Sketching

Exercises

Related Rates

Exercises

The Integral

Indefinite Integrals

Basic Integration Rules

Indefinite Integral Applications

Exercises

Integration by Substitution

Differentials

Integration by Substitution

Exercises

Using Sums to Approximate Area

Exercises

The Definite Integral

Summation Notation

The Definite Integral

Definite Integral Properties

Exercises

The Fundamental Theorem of Calculus

Changing Limits of Integration

Exercises

Advanced Integration Techniques And Applications

Integration by Parts

Exercises

Area Between Two Curves

Difference of Accumulated Changes

Exercises

Differential Equations and Applications

Newton's Law of Heating and Cooling

Exercises

Differential Equations: Limited Growth and Logistic Growth Models

Limited Growth Model

Logistic Growth Model

Exercises

Multivariable Functions And Partial Derivatives

Multivariable Functions

Exercises

Partial Derivatives

Cross Sections of a Surface

Second-Order Partial Derivatives

Exercises

Multivariable Maxima and Minima

Exercises

Constrained Maxima and Minima and Applications

Graphical Interpretation of Constrained Optimization Problems

Exercises

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