Introduction to Quantitative Methods in Business : With Applications Using Microsoft Office Excel.

Format:

Book

Author/Creator:

Kolluri, Bharat.

Contributor:

Panik, Michael J.

Singamsetti, Rao N.

Language:

English

Subjects (All):

Business mathematics.

Physical Description:

1 online resource (317 pages)

Edition:

1st ed.

Place of Publication:

Somerset : John Wiley & Sons, Incorporated, 2016.

Contents:

Introduction to Quantitative Methods in Business: With Applications Using Microsoft® Office Excel®

Table of Contents

Preface

About the Companion Website

Chapter 1: The Mathematical Toolbox

1.1 Introduction

1.2 Linear Functions

1.3 Solving a Simple Linear Equation for One Unknown Variable

1.3.1 Solving Two Simultaneous Linear Equations for Two Unknown Variables

1.4 Summation Notation

1.5 Sets

1.5.1 Subset, Empty Set, Universal Set, and Complement of A Set

1.5.2 Intersection and Union

1.6 Functions and Graphs

1.6.1 Vertical Line Test

1.7 Working With Functions

1.7.1 Evaluating Functions

1.7.2 Graphing Functions

1.8 Differentiation and Integration

1.8.1 Derivative

Some Rules of Differentiation

1.8.2 Derivatives of Logarithmic and Exponential Functions

1.8.3 Higher Order Derivatives

1.8.4 Integration

1.8.5 The Definite Integral

1.8.6 Some Rules of Integration

1.9 Excel Applications

Chapter 1 Review

Exercises

Excel Applications

Appendix 1.A: A Review of Basic Mathematics

1.A.1 Order of Arithmetic Operations

1.A.2 Exponents

1.A.3 Logarithms

1.A.4 Prime Factorization

1.A.5 Factoring

1.A.6 Fractions: Ratios

1.A.6.1 Greatest Common Factor

1.A.6.2 Least Common Multiple

1.A.6.3 Addition and Subtraction of Fractions

1.A.6.4 Multiplication and Division of Fractions

1.A.6.5 Mixed Fractions

1.A.7 Decimals

1.A.7.1 Operations with Decimals

1.A.8 Percent

1.A.8.1 Finding Percent (%) of a Number

1.A.8.2 Finding Percentage Increase (+) or Percentage Decrease (-)

1.A.9 Conversions between Decimals (D), Fractions (F), and Percents (P)

1.A.9.1 Changing Decimals to Fractions (D → F)

1.A.9.2 Changing Fraction to Decimals: (F → D)

1.A.9.3 Changing Decimals to Percents (D → P)

1.A.9.4 Changing Percents to Decimals (P → D).

1.A.9.5 Changing Fractions to Percents (F → P)

1.A.9.6 Changing Percents to Fractions (P → F)

1.A.10 Ratio and Proportion

Chapter 2: Applications of Linear and Nonlinear Functions

2.1 Introduction

2.2 Linear Demand and Supply Functions

2.3 Linear Total Cost and Total Revenue Functions

2.4 Market Equilibrium

2.5 Graphical Presentation of Equilibrium

2.6 Applications of Nonlinear Functions

2.7 Present Value of an Income Stream

2.8 Average Values

2.9 Marginal Values

2.10 Elasticity

2.11 Some Additional Business Applications

2.12 Excel Applications

Chapter 2 Review

Chapter 3: Optimization

3.1 Introduction

3.2 Unconstrained Optimization

3.2.1 Models of Profit and Revenue Maximization

3.2.2 Solution by Trial and Error (Approximate) Method

3.2.3 Solution Using the Calculus Approach

3.2.4 Solution by Trial and Error (Approximate) Method

3.2.5 Solution Using the Calculus Approach

3.3 Models of Cost Minimization: Inventory Cost Functions and EOQ

3.3.1 Solution by Trial and Error Method

3.3.2 Solution Using the Calculus Approach

3.4 Constrained Optimization: Linear Programming

3.4.1 Linear Programming: Maximization

3.4.1.1 Solution by Graphical Method: First Approach

3.4.1.2 Solution by Graphical Method: Second Approach

3.4.2 Linear Programming: Minimization

3.5 Excel Applications

Chapter 3 Review

Chapter 3 Exercises

Chapter 4: What Is Business Statistics?

4.1 Introduction

4.2 Data Description

4.2.1 Some Important Concepts in Statistics

4.2.2 Scales of Data Measurement

4.3 Descriptive Statistics: Tabular and Graphical Techniques

4.4 Descriptive Statistics: Numerical Measures of Central Tendency or Location of Data

4.4.1 Population Mean

4.4.2 Sample Mean.

4.4.3 Weighted Mean

4.4.4 Mean of a Frequency Distribution: Grouped Data

4.4.5 Geometric Mean

4.4.6 Median

Interpretation

4.4.7 Quantiles, Quartiles, Deciles, and Percentiles

4.4.8 Mode

4.5 Descriptive Statistics: Measures of Dispersion-Variability or Spread

4.5.1 Range

4.5.2 Variance

4.5.3 Standard Deviation

4.5.4 Coefficient of Variation

4.5.5 Some Important Uses of the Standard Deviation

4.5.6 Empirical Rule

4.6 Measuring Skewness

4.7 Excel Applications

Chapter 4 Review

Chapter 5: Probability and Applications

5.1 Introduction

5.2 Some Useful Definitions

5.3 Probability Sources

5.3.1 Objective Probability

5.3.2 Subjective Probability

5.4 Some Useful Definitions Involving Sets of Events in the Sample Space

5.4.1 Complement of a Given Set A

5.4.2 Mutually Exclusive Events

5.5 Probability Laws

5.5.1 General Rule of Addition

5.5.2 Rule of Complements

5.5.3 Conditional Probability

5.5.4 General Rule of Multiplication (Product Rule)

5.5.5 Independent Events

5.5.6 Probability Tree Approach

5.6 Contingency Table

5.7 Excel Applications

Chapter 5 Review

Chapter 6: Random Variables and Probability Distributions

6.1 Introduction

6.2 Probability Distribution of a Discrete Random Variable X

6.3 Expected Value, Variance, and Standard Deviation of a Discrete Random Variable X

6.3.1 Some Basic Rules of Expectation

6.3.2 Some Useful Properties of Variance of X

6.3.3 Applications of Expected Values

6.4 Continuous Random Variables and Their Probability Distributions

6.5 A Specific Discrete Probability Distribution: the Binomial Case

6.5.1 Binomial Probability Distribution

6.5.2 Mean and Standard Deviation of the Binomial Random Variable.

6.5.3 Cumulative Binomial Probability Distribution

6.6 Excel Applications

Chapter 6 Review

Appendix 6.A

Table 6.A.1 Binomial Probabilities (X is b(X

n, p))

Table 6.A.2 Cumulative Distribution Function Values for the Binomial Distribution (X is b(X

Solutions to Odd-Numbered Exercises

Index

End User License Agreement.

Notes:

Description based on publisher supplied metadata and other sources.

Other Format:

Print version: Kolluri, Bharat Introduction to Quantitative Methods in Business

ISBN:

9781119220985

OCLC:

953661405