• Mathematical Basis of Managerial Decisions : Functions, Appliaion of Functions, Maxima & Minima
 
  • Linear Programming – Formulation
    • Linear Programming problems
    • Introduction
    • Formulation of LPP
 
  • Linear Programming – Graphical Solution
    • Solution of LPP
    • Graphical Method
 
  • Linear Programming – Simplex Method.
    • Solution of LPP
    • Simplex method
 
  • OR and Optimization Models
    • Operations Research
      • Introduction and definitions
      • Basic terms
      • Phases of OR
      • Linear programming –phases and definitions
   
  • Descriptive Statistics – Measures of Central Tendency
 
  • Descriptive Statistics– Measures of Dispersion
    • Descriptive Statistics
      • Measures of Dispersion
      • Range
      • Quartile Deviation
      • Mean Deviation
      • Standard deviation
      • variance
 
  • Skewness & Kurtosis
    • Descriptive statistics
    • Skewness & Kurtosis
 
  • Theory of Correlation: Meaning of Correlation, Simple Correlation, Co-efficient, Rank Correlation.
    • Correlation
    • Introduction
    • Types
    • Coefficient of correlation
    • Measurement of correlation
    • Scatter Diagram
    • Karl Pearson’s coefficient of correlation
    • Rank correlation
    • Coefficient  of Variation
    • Properties of correlation coefficient
 
  • Regression Analysis
    • Regression –Introduction and definition
      • Types of regression
      • Line of best fit
      • Regression equations
      • Properties of regression lines and regression coefficients
      • Standard error of estimate
      • Simple linear regression
      • Problems based on linear regression
   
  • Probability: Random Experiment, Sample Space and Events, Addition and Multiplication theorems
    • Probability
      • Definitions –random experiment, sample space events etc.
      • Statement of Addition theorem and multiplication theorems
      • Problems based on the above theorems
      • Conditional probability
      • Simple Business Application Problems
   
  • Bayes Theorems and its Applications
    • Probability
      • Inverse Probability
      • Bayes theorem and its applications in business
 
  • Random Variable and Probability Distribution: Binomial, Poisson, Normal
    • Random Variable & Probability Distributions
      • Discrete and continuous random variable
      • Probability Distributions continuous and discrete
      • Binomial distribution
      • Poisson distribution
      • Normal Distribution
      • Uniform Distribution
      • Problems based on the above
   
  • Time Series Analysis
    • Time Series Analysis
      • Introduction and definitions
      • Various components of time series
      • Determination of trend by
      • Graphical method
      • Moving average method
      • Least Square method
      • Calculation of seasonal indices
      • Simple average method
      • Link relative method
   
  • Concepts of Population, Sampling Etc.
    • Survey and sampling
    • Population and universe
    • Sampling
    • Sample
    • Types of Sampling
    • Steps in sampling
 
  • Test of Significance
  • Hypothesis testing
    • Introduction –Hypothesis testing
    • Assumptions about parametric and non-parametric tests
    • Hypothesis –Null and Alternate Hypothesis
    • Hypothesis testing process
    • Type 1 and Type 2 Errors
    • Level of significance and rejection region
 
  • Parametric Tests
    • Parametric Test
    • Hypothesis test for the mean
      • Z test
      • t Test
    • ANOVA
 
  • Non Parametric Tests
    • Non Parametric Test
      • Mann-Whitney U test
      • Kolmogorov-Smirnov Z test
      • Chi square test
 
  • Transportation model – Initial Basic Feasible Solutions, Optimum Solution
    • Transportation problem
    • Introduction
    • Mathematical Formulation
    • Methods to find initial solution
      • North west corner method
      • Minimum cost method
    • VAM
    • Optimum solution
    • MODI method
           
  • Game Theory-Zero Sum Games: Arithmetic and Graphical Method          
    • Theory of games-Introduction
      • Definitions-Pay off, Zero sum Game, Maximin, minimax criteria, saddle point etc.
      • Solving games-Graphical method, algebraic method and Dominance method
 
  • Simulation – Types of simulation, Monte Carlo Simulation, Simulation Problems
    • Simulation
      • Simulation – Introduction and definitions
      • Types of Simulation
      • Monte –Carlo simulation
      • Simulation of problems