• 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