Applied Calculus for the Managerial, Life, and Social Sciences

by Tan, Soo T.

• ISBN13: 9780495559696
• ISBN10: 0495559695
• Edition: 8th
• Format: Hardcover
• Copyright: 2010-01-14
• Publisher: Brooks Cole

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

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