9780495559696

Applied Calculus for the Managerial, Life, and Social Sciences

by
  • ISBN13:

    9780495559696

  • ISBN10:

    0495559695

  • Edition: 8th
  • Format: Hardcover
  • Copyright: 1/14/2010
  • Publisher: Brooks Cole
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Summary

Well known for accuracy, Soo Tan's APPLIED CALCULUS FOR THE MANAGERIAL, LIFE, AND SOCIAL SCIENCES, Eighth Edition balances applications, pedagogy, and technology to provide students the context they need to stay motivated in the course and interested in the material. Accessible for majors and non-majors alike, the text uses an intuitive approach that introduces abstract concepts through examples drawn from common, real-life experiences to which students can relate. It also draws applications from readers' fields of interest. In addition, insightful Portfolios highlight the careers of real people and discuss how they incorporate math into their daily operations. Numerous exercises—including new Diagnostic Tests—ensure students have a solid understanding of concepts before advancing to the next topic. Algebra review notes, keyed to the review chapter Preliminaries, appear where students need them, when they need them. Bringing powerful resources to students' fingertips, the text's exciting array of supplements, including Enhanced Web Assign, equips students with extensive learning support to help them maximize their study time.

Table of Contents

Preliminaries
Precalculus Review
Precalculus Review II
the Cartesian Coordinate System
Straight Lines
Functions, Limits, and the Derivative
Functions and Their Graphs
the Algebra of Functions
Functions and Mathematical Models
Limits
One-Sided Limits and Continuity
the Derivative
Differentiation
Basic Rules of Differentiation
the Product and Quotient Rules
the Chain Rule
Marginal Functions in Economics
Higher-Order Derivatives
Implicit Differentiation and Related Rates
Differentials
Applications of the Derivative
Applications of the First Derivative
Applications of the Second Derivative
Curve Sketching
Optimization I
Optimization II
Exponential and Logarithmic Functions
Exponential Functions
Logarithmic Functions
Compound Interest Differentiation of Exponential Functions
Differentiation of Logarithmic Functions
Exponential Functions as Mathematical Models
Integration
Antiderivatives and the Rules of Integration
Integration by Substitution
Area and the Definite Integral
the Fundamental Theorem of Calculus
Evaluating Definite Integrals
Area between Two Curves
Applications of the Definite Integral to Business and Economics
Additional Topics in Integration
Integration by Parts
Integration Using Tables of Integrals
Numerical Integration
Improper Integrals
Volumes of Solids of Revolution
Calculus of Several Variables
Functions of Several Variables
Partial Derivatives
Maxima and Minima of Functions of Several Variables
the Method of Least Squares
Constrained Maxima and Minima and the Method of Lagrange Multipliers
Total Differentials
Double Integrals
Applications of Double Integrals
Differential Equations
Differential Equations
Separation of Variables
Applications of Separable Differential Equations
Approximate Solutions of Differential Equations
Probability and Calculus
Probability Distributions of Random Variables
Expected Value and Standard Deviation
Normal Distributions
Taylor Polynomials and Infinite Series
Taylor Polynomials
Infinite Sequences
Infinite Series
Series with Positive Numbers
Power Series and Taylor Series
More on Taylor Series
Newton's Method
Trigonometric Functions
Measurement of Angles
the Trigonometric Functions
Differentiation of Trigonometric Functions
Integration of Trigonometric Functions
Inverse Functions
The Inverse of a Function
The Graphs of Inverse Functions
Functions that Have Inverses
Finding the Inverse of a Function
Indeterminate Forms and l'H?pital's Rule
Table the Standard Normal Distribution
Answers to Odd-Numbered Exercises
Index
Table of Contents provided by Publisher. All Rights Reserved.

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