Quantitative Methods for Managers

Main topics of study:

Data Presentation and Collection:

  • Frequency Distribution
  • Frequency Tables
  • Discrete or Continuous Data
  • Histograms
  • Frequency Polygon
  • Frequency Curve
  • Cumulative Frequency Curves
  • Bar Charts and Pie Charts
  • Lorenz Curve

Central Location and Dispersion:

  • Notation
  • Measures of Central Location
  • Normal and Skewed Distribution
  • Measures of Dispersion
  • Coefficient of Variation

Regression and Correlation:

  • Regression Analysis
  • Correlation
  • Spearman’s Coefficient of Rank Correlation
  • Multiple Regression

Time Series and Forecasting:

  • Time Series Analysis
  • Moving Average
  • Finding the Trend
  • Finding and Eliminating the Seasonal Variation
  • Forecasting: Time Series
  • Forecasting: Exponential Smoothing

Probability:

  • Probability Calculations
  • Mutually Exclusive Events: OR Rule
  • Venn Diagrams: Events Not Mutually Exclusive
  • Independent Events: AND Rule
  • Conditional Probability
  • Decision Trees
  • Expected Value
  • Permutations and Combinations

Probability Distributions:

  • Normal Distribution
  • Standard Normal Distribution
  • Binomial Distribution
  • Poisson Distribution

Sampling and Tests of Hypotheses:

  • Types of Sample
  • Distribution of Sample Means
  • Central Limit Theorem
  • Confidence Intervals
  • Tests of Hypotheses: Principles
  • Tests of Hypotheses: Practice
  • Student Distribution

Index Numbers:

  • Constructing an Index Number
  • Weighted Aggregate Index Numbers
  • The Laspeyres (Base-Weighted) Price Index
  • The Paasche (Current-Weighted) Price Index
  • The Laspeyres (Base-Weighted) Quantity Index
  • The Paasche (Current-Weighted) Quantity Index
  • Changing the Base Year
  • Price and Quantity Relative Index Numbers
  • The Retail Price Index (RPI)

Time Value of Money:

  • Simple and Compound Interest
  • Discounting and Present Value
  • Investment Appraisal
  • Depreciation
  • Annuities and Other Financial Instruments

Linear Programming and Break-Even Analysis:

  • Linear Programming
  • Solving the Linear Programme: Maximisation
  • Solving the Linear Programme: Minimisation
  • Break-Even Analysis

Calculus and Business Applications:

  • Differentiation
  • Turning Points
  • Rules for Differentiation
  • Applications of Differentiation
  • Partial Differentiation
  • Integration

Basic Mathematics:

  • Whole Numbers, Fractions and Decimals
  • Rounding-Off
  • Percentages and Ratio
  • Powers and Roots
  • Simple Algebra
  • Solving Equations
  • Simultaneous Equations
  • Inequalities
  • Graphs and Functions
  • Progressions