Larson Calculus an Applied Approach Eighth Edition

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  • Edition: 8th
  • Format: Hardcover
  • Copyright: 2007-12-07
  • Publisher: Brooks Cole
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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
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
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
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
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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