Applied Calculus for the Managerial Life and Social Sciences A Brief Approach 10th Edition by Soo Tan ISBN 1285464648 978-1285464640

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ISBN 10: 1285464648
ISBN 13:  978-1285464640
Author:  Soo Tan

APPLIED CALCULUS FOR THE MANAGERIAL, LIFE, AND SOCIAL SCIENCES: A BRIEF APPROACH, Tenth Edition balances modern applications, solid pedagogy, and the latest technology to engage students and keep them motivated in the course. Suitable for majors and non-majors alike, the text uses an intuitive approach that teaches concepts through examples drawn from real-life situations from students’ fields of interest. In addition, insightful Portfolios highlight the careers of real people and discuss how they incorporate math into their daily professional activities. Numerous exercises, including a Diagnostic Test, ensure that students have a concrete understanding of concepts before advancing to the next topic. The text’s pedagogical features coupled with an exciting array of supplements equip students with the tools they need to make the most of their study time and to succeed in the course.

Applied Calculus for the Managerial Life and Social Sciences A Brief Approach 10th Table of contents:

1. Preliminaries

1.1. Precalculus Review I

The Real Number Line

Intervals

Exponents and Radicals

Operations with Algebraic Expressions

Factoring

Roots of Polynomial Equations

The Quadratic Formula

1.1. Exercises

1.2. Precalculus Review II

Rational Expressions

Other Algebraic Fractions

Rationalizing Algebraic Fractions

Inequalities

Absolute Value

1.2. Exercises

1.3. The Cartesian Coordinate System

The Cartesian Coordinate System

The Distance Formula

1.3. Self-Check Exercises

1.3. Concept Questions

1.3. Exercises

1.4. Straight Lines

Slope of a Line

Equations of Lines

General Form of an Equation of a Line

1.4. Self-Check Exercises

1.4. Concept Questions

1.4. Exercises

Chapter 1. Summary of Principal Formulas and Terms

Chapter 1. Concept Review Questions

Chapter 1. Review Exercises

Chapter 1. Before Moving On …

2. Functions, Limits, and the Derivative

2.1. Functions and Their Graphs

Functions

Determining the Domain of a Function

Graphs of Functions

The Vertical Line Test

2.1. Self-Check Exercises

2.1. Concept Questions

2.1. Exercises

Using Technology — Graphing a Function

Evaluating a Function

Technology Exercises

2.2. The Algebra of Functions

The Sum, Difference, Product, and Quotient of Functions

Composition of Functions

2.2. Self-Check Exercises

2.2. Concept Questions

2.2. Exercises

2.3. Functions and Mathematical Models

Mathematical Models

Polynomial Functions

Rational and Power Functions

Some Economic Models

Constructing Mathematical Models

2.3. Self-Check Exercises

2.3. Concept Questions

2.3. Exercises

Using Technology — Finding the Points of Intersection of Two Graphs and Modeling

Constructing Mathematical Models from Raw Data

Technology Exercises

2.4. Limits

Introduction to Calculus

A Real-Life Example

Intuitive Definition of a Limit

Evaluating the Limit of a Function

Indeterminate Forms

Limits at Infinity

2.4. Self-Check Exercises

2.4. Concept Questions

2.4. Exercises

Using Technology — Finding the Limit of a Function

Technology Exercises

2.5. One-Sided Limits and Continuity

One-Sided Limits

Continuous Functions

Properties of Continuous Functions

Intermediate Value Theorem

2.5. Self-Check Exercises

2.5. Concept Questions

2.5. Exercises

Using Technology — Finding the Points of Discontinuity of a Function

Graphing Functions Defined Piecewise

Technology Exercises

2.6. The Derivative

An Intuitive Example

Slope of a Tangent Line

Rates of Change

The Derivative

Differentiability and Continuity

2.6. Self-Check Exercises

2.6. Concept Questions

2.6. Exercises

Using Technology — Finding the Derivative of a Function for a Given Value of x

Graphing a Tangent Line

Technology Exercises

Chapter 2. Summary of Principal Formulas and Terms

Chapter 2. Concept Review Questions

Chapter 2. Review Exercises

Chapter 2. Before Moving On …

3. Differentiation

3.1. Basic Rules of Differentiation

Four Basic Rules

3.1. Self-Check Exercises

3.1. Concept Questions

3.1. Exercises

Using Technology — Finding the Rate of Change of a Function

Technology Exercises

3.2. The Product and Quotient Rules

The Product Rule

The Quotient Rule

Verification of the Product Rule

3.2. Self-Check Exercises

3.2. Concept Questions

3.2. Exercises

Using Technology — The Product and Quotient Rules

Technology Exercises

3.3. The Chain Rule

The Chain Rule

The Chain Rule for Powers of Functions

3.3. Self-Check Exercises

3.3. Concept Questions

3.3. Exercises

Using Technology — Finding the Derivative of a Composite Function

Technology Exercises

3.4. Marginal Functions in Economics

Cost Functions

Average Cost Functions

Revenue Functions

Profit Functions

Relative Rate of Change

Elasticity of Demand

3.4. Self-Check Exercises

3.4. Concept Questions

3.4. Exercises

3.5. Higher-Order Derivatives

Higher-Order Derivatives

3.5. Self-Check Exercises

3.5. Concept Questions

3.5. Exercises

Using Technology — Finding the Second Derivative of a Function at a Given Point

Technology Exercises

3.6. Implicit Differentiation and Related Rates

Differentiating Implicitly

Related Rates

3.6. Self-Check Exercises

3.6. Concept Questions

3.6. Exercises

3.7. Differentials

Increments

Differentials

3.7. Self-Check Exercises

3.7. Concept Questions

3.7. Exercises

Using Technology — Finding the Differential of a Function

Technology Exercises

Chapter 3. Summary of Principal Formulas and Terms

Chapter 3. Concept Review Questions

Chapter 3. Review Exercises

Chapter 3. Before Moving On …

4. Applications of the Derivative

4.1. Applications of the First Derivative

Determining the Intervals Where a Function Is Increasing or Decreasing

Relative Extrema

Finding the Relative Extrema

4.1. Self-Check Exercises

4.1. Concept Questions

4.1. Exercises

Using Technology — Using the First Derivative to Analyze a Function

Technology Exercises

4.2. Applications of the Second Derivative

Determining the Intervals of Concavity

Inflection Points

The Second Derivative Test

Comparing the First and Second Derivative Tests

4.2. Self-Check Exercises

4.2. Concept Questions

4.2. Exercises

4.3. Curve Sketching

A Real-Life Example

Vertical Asymptotes

Horizontal Asymptotes

Two Step-by-Step Examples

4.3. Self-Check Exercises

4.3. Concept Questions

4.3. Exercises

Using Technology — Analyzing the Properties of a Function

Technology Exercises

4.4. Optimization I

Absolute Extrema

Absolute Extrema on a Closed Interval

4.4. Self-Check Exercises

4.4. Concept Questions

4.4. Exercises

Using Technology — Finding the Absolute Extrema of a Function

Technology Exercises

4.5. Optimization II

Maximization Problems

Minimization Problems

An Inventory Problem

4.5. Self-Check Exercises

4.5. Concept Questions

4.5. Exercises

Chapter 4. Summary of Principal Terms

Chapter 4. Concept Review Questions

Chapter 4. Review Exercises

Chapter 4. Before Moving On …

5. Exponential and Logarithmic Functions

5.1. Exponential Functions

Exponential Functions and Their Graphs

The Base e

5.1. Self-Check Exercises

5.1. Concept Questions

5.1. Exercises

Using Technology

Technology Exercises

5.2. Logarithmic Functions

Logarithms

Laws of Logarithms

Logarithmic Functions and Their Graphs

Properties Relating the Exponential and Logarithmic Functions

5.2. Self-Check Exercises

5.2. Concept Questions

5.2. Exercises

5.3. Compound Interest

Compound Interest

Effective Rate of Interest

Present Value

Continuous Compounding of Interest

5.3. Self-Check Exercises

5.3. Concept Questions

5.3. Exercises

Using Technology — Finding the Accumulated Amount of an Investment, the Effective Rate of Interest, and the Present Value of an Investment

Technology Exercises

5.4. Differentiation of Exponential Functions

The Derivative of the Exponential Function

Applying the Chain Rule to Exponential Functions

5.4. Self-Check Exercises

5.4. Concept Questions

5.4. Exercises

Using Technology

Technology Exercises

5.5. Differentiation of Logarithmic Functions

The Derivative of ln ⁢ x

The Chain Rule and Logarithmic Functions

Logarithmic Differentiation

5.5. Self-Check Exercises

5.5. Concept Questions

5.5. Exercises

5.6. Exponential Functions as Mathematical Models

Exponential Growth

Exponential Decay

Learning Curves

Logistic Growth Functions

5.6. Self-Check Exercise

5.6. Concept Questions

5.6. Exercises

Using Technology — Analyzing Mathematical Models

Technology Exercises

Summary of Principal Formulas and Terms

Concept Review Questions

Review Exercises

Before Moving On …

6. Integration

6.1. Antiderivatives and the Rules of Integration

Antiderivatives

The Indefinite Integral

Basic Integration Rules

Differential Equations

Initial-Value Problems

6.1. Self-Check Exercises

6.1. Concept Questions

6.1. Exercises

6.2. Integration by Substitution

How the Method of Substitution Works

The Method of Integration by Substitution

6.2. Self-Check Exercises

6.2. Concept Questions

6.2. Exercises

6.3. Area and the Definite Integral

An Intuitive Look

The Area Problem

Defining Area—Two Examples

Defining Area—The General Case

The Definite Integral

When Is a Function Integrable?

Geometric Interpretation of the Definite Integral

6.3. Self-Check Exercises

6.3. Concept Questions

6.3. Exercises

6.4. The Fundamental Theorem of Calculus

The Fundamental Theorem of Calculus

Finding the Area of a Region under a Curve

Evaluating Definite Integrals

The Definite Integral as a Measure of Net Change

Validity of the Fundamental Theorem of Calculus

6.4. Self-Check Exercises

6.4. Concept Questions

6.4. Exercises

Using Technology — Evaluating Definite Integrals

Technology Exercises

6.5. Evaluating Definite Integrals

Properties of the Definite Integral

The Method of Substitution for Definite Integrals

Finding the Area under a Curve

Average Value of a Function

6.5. Self-Check Exercises

6.5. Concept Questions

6.5. Exercises

Using Technology — Evaluating Definite Integrals for Piecewise-Defined Functions

Technology Exercises

6.6. Area Between Two Curves

Finding the Area of the Region Between Two Curves

6.6. Self-Check Exercises

6.6. Concept Questions

6.6. Exercises

Using Technology — Finding the Area Between Two Curves

Technology Exercises

6.7. Applications of the Definite Integral to Business and Economics

Consumers’ and Producers’ Surplus

The Future and Present Value of an Income Stream

The Amount and Present Value of an Annuity

Lorenz Curves and Income Distributions

6.7. Self-Check Exercise

6.7. Concept Questions

6.7. Exercises

Using Technology — Business and Economic Applications/Technology Exercises

Chapter 6. Summary of Principal Formulas and Terms

Chapter 6. Concept Review Questions

Chapter 6. Review Exercises

Chapter 6. Before Moving On …

7. Additional Topics in Integration

7.1. Integration by Parts

The Method of Integration by Parts

7.1. Self-Check Exercises

7.1. Concept Questions

7.1. Exercises

7.2. Integration Using Tables of Integrals

A Table of Integrals

Using a Table of Integrals

7.2. Self-Check Exercises

7.2. Concept Questions

7.2. Exercises

7.3. Numerical Integration

Approximating Definite Integrals

The Trapezoidal Rule

Simpson’s Rule

Error Analysis

7.3. Self-Check Exercises

7.3. Concept Questions

7.3. Exercises

7.4. Improper Integrals

Improper Integrals

Perpetuities

7.4. Self-Check Exercises

7.4. Concept Questions

7.4. Exercises

7.5. Applications of Calculus to Probability

Probability

Expected Value

7.5. Self-Check Exercises

7.5. Concept Questions

7.5. Exercises

Chapter 7. Summary of Principal Formulas and Terms

Chapter 7. Concept Review Questions

Chapter 7. Review Exercises

Chapter 7. Before Moving On …

8. Calculus of Several Variables

8.1. Functions of Several Variables

Functions of Two Variables

Graphs of Functions of Two Variables

Level Curves

8.1. Self-Check Exercises

8.1. Concept Questions

8.1. Exercises

8.2. Partial Derivatives

Partial Derivatives

The Cobb–Douglas Production Function

Substitute and Complementary Commodities

Second-Order Partial Derivatives

8.2. Self-Check Exercises

8.2. Concept Questions

8.2. Exercises

Using Technology — Finding Partial Derivatives at a Given Point

Technology Exercises

8.3. Maxima and Minima of Functions of Several Variables

Maxima and Minima

8.3. Self-Check Exercises

8.3. Concept Questions

8.3. Exercises

8.4. The Method of Least Squares

The Method of Least Squares

8.4. Self-Check Exercises

8.4. Concept Questions

8.4. Exercises

Using Technology — Finding an Equation of a Least-Squares Line

Technology Exercises

8.5. Constrained Maxima and Minima and the Method of Lagrange Multipliers

Constrained Relative Extrema

The Method of Lagrange Multipliers

8.5. Self-Check Exercises

8.5. Concept Questions

8.5. Exercises

8.6. Double Integrals

A Geometric Interpretation of the Double Integral

Evaluating a Double Integral over a Rectangular Region

Evaluating a Double Integral over a Plane Region

Finding the Volume of a Solid by Double Integrals

Population of a City

Average Value of a Function

8.6. Self-Check Exercises

8.6. Concept Questions

8.6. Exercises

Chapter 8. Summary of Principal Terms

Chapter 8. Concept Review Questions

Chapter 8. Review Exercises

Chapter 8. Before Moving On . . .

 
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