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Brief Calculus : An Applied Approach, Enhanced Edition (with Enhanced WebAssign 1-Semester Printed Access Card),9781439047804
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Brief Calculus : An Applied Approach, Enhanced Edition (with Enhanced WebAssign 1-Semester Printed Access Card)

by
Edition:
8th
ISBN13:

9781439047804

ISBN10:
1439047804
Format:
Hardcover
Pub. Date:
4/22/2009
Publisher(s):
Cengage Learning
List Price: $194.95

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Summary

BRIEF CALCULUS: AN APPLIED APPROACH, 8e, motivates students while fostering understanding and mastery. This brief book emphasizes integrated and engaging applications that show users the real-world relevance of topics and concepts. Several pedagogical features—from algebra review to study tips—provide extra guidance and practice. The Eighth Edition builds upon its applications emphasis through updated exercises and relevant examples. Applied problems drawn from government sources, industry, current events, and other disciplines provide well-rounded examples and appeal to diverse interests. This Enhanced Edition includes instant access to Enhanced WebAssign®, the most widely-used and reliable homework system. Enhanced WebAssign® presents over a thousand problems, links to relevant textbook sections, video examples, problem-specific tutorials, and more, that help students grasp the concepts needed to succeed in this course. As an added bonus, the Start Smart Guide has been bound into this text. This guide contains instructions to help users learn the basics of WebAssign quickly.

Table of Contents

A Precalculus Review
The Real Number Line and Order
Absolute Value and Distance on the Real Number Line
Exponents and Radicals
Factoring Polynomials
Fractions and Rationalization
Functions, Graphs, and Limits
The Cartesian Plane and the Distance Formula
Graphs of Equations
Lines in the Plane and Slope
Functions
Limits
Continuity
Differentiation
The Derivative and the Slope of a Graph
Some Rules for Differentiation
Rates of Change: Velocity and Marginals
The Product and Quotient Rules
The Chain Rule
Higher-Order Derivatives
Implicit Differentiation
Related Rates
Applications of the Derivative
Increasing and Decreasing Functions
Extrema and the First-Derivative Test
Concavity and the Second-Derivative
Optimization Problems
Business and Economics Applications
Asymptotes
Curve Sketching: A Summary
Differentials and Marginal Analysis
Exponential and Logarithmic Functions
Exponential Functions
Natural Exponential Functions
Derivatives of Exponential Functions
Logarithmic Functions
Derivatives of Logarithmic Functions
Exponential Growth and Decay
Integration and Its Applications
Antiderivatives and Indefinite Integrals
The General Power Rule and Substitution
Exponential and Logarithmic Integrals
Area and the Fundamental Theorem of Calculus
The Area of a Region Bounded by Two Graphs
The Definite Integral as the Limit of a Sum
Techniques of Integration
Integration by Parts and Present Value
Partial Fractions and Logistic Growth
Integration Tables
Numerical Integration
Improper Integrals
Functions of Several Variables
The Three-Dimensional Coordinate System
Surfaces in Space
Functions of Several Variables
Partial Derivatives
Extrema of Functions of Two Variables
Lagrange Multipliers
Least Squares Regression Analysis
Double Integrals and Area in the Plane
Applications of Double Integrals
Alternate Introduction to the Fundamental Theorem of Calculus
Formulas
Differentiation and Integration Formulas
Formulas from Business and Finance
Differential Equations
Solutions of Differential Equations
Separation of Variables
First-Order Linear Differential Equations
Applications of Differential Equations
Properties and Measurement (web only)
Review of Algebra, Geometry, and Trigonometry
Units of Measurements
Graphing Utility Programs (web only)
Graphing Utility Programs
Table of Contents provided by Publisher. All Rights Reserved.


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