Larson Calculus an Applied Approach Eighth Edition

by Larson, Ron

• ISBN13: 9780618958252
• ISBN10: 0618958258
• Edition: 8th
• Format: Hardcover
• Copyright: 2007-12-07
• Publisher: Cengage Learning

Summary

Designed specifically for business, economics, or life/social sciences majors, Calculus: An Applied Approach, 8/e, motivates students while fostering understanding and mastery. The book emphasizes integrated and engaging applications that show students 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. In addition, the Calculus program offers a strong support package--including MathSPACE Instructor/Student websites and course management tools, instructional DVDs, and solutions manuals--that allows students to review the material independently and retain key concepts.

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

Trigonometric Functions

Radian Measure of Angles

The Trigonometric Functions

Graphs of Trigonometric Functions

Derivatives of Trigonometric Functions

Integrals of Trigonometric Functions

Probability and Calculus

Discrete Probability

Continuous Random Variables

Expected Value and Variance

Series and Taylor Polynomials

Sequences

Series and Convergence

p-Series and the Ratio Test

Power Series and Taylor's Theorem

Taylor Polynomials

Newton's Method

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

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