• Matrices Introduction
• Different Types of matrices
• Matrix algebra
• Addition, subtraction and multiplication of matrices
• Symmetric and skew Symmetric matrices
• Determinant of a matrix
• Inverse of a matrix
• Rank of a matrix

• Solution of Simultaneous linear equations using matrices
• Matrix inversion method
• Cramer’s rule

• Sets, Set Operations, Venn diagram
• Introduction and definition
• Different types of sets
• Union, intersection and complement of a set
• Difference of two sets
• Venn diagram

• Probability
• Definitions –random experiment, sample space events etc.
• Statement of Addition theorem and multiplication theorems
• Problems based on the above theorems
• Conditional probability

• 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
• Survey and sampling
• Population and universe
• Sampling
• Sample
• Types of Sampling
• Steps in sampling

• Test of Significance
• 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 Test
• Hypothesis test for the mean
• Z test
• t Test
• ANOVA

• Correlation and regression
• 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

• 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

• Decision Theory
• Decision analysis concept
• Types of decision making environment
• Decision making under certainty
• Decision making under un uncertainty
• Maximin, minimax, maximax, Laplace and Hurwitz alpha criterion
• Decision making under risk –EOL,EMV and EVPI criteria
• Decision trees

• Non Parametric Test
• Mann-Whitney U test
• Kolmogorov-Smirnov Z test
• Chi square test

• 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

• Descriptive statistics
• Measures of Central Tendency
• Mean
• Median
• Mode

• Operations Research
• Introduction and definitions
• Basic terms
• Phases of OR
• Linear programming –phases and definitions

• Linear Programming problems
• Introduction
• Formulation of LPP

• Solution of LPP
• Graphical Method

• Solution of LPP
• Simplex method

• Transportation problem
• Introduction
• Mathematical Formulation
• Methods to find initial solution
• North west corner method
• Minimum cost method
• VAM
• Optimum solution
• MODI method

• Degeneracy in transportation problem
• Transhipment problems

• Assignment problem
• Introduction
• Mathematical Formulation
• Solution
• Hungarian method

• Network Model
• Network Analysis
• Introduction
• Dentitions

• Network model
• Critical path method
• Forward pass and backward pass
• Critical path, critical Activities

• Network model
• Crashing of project network

• Network model
• PERT(Project Evaluation and Review Technique)

• Queuing theory (Waiting line models)
• Queuing Theory –Introduction
• Components of Queuing model
• M/M/1: inf/FCFS Queuing model
• Problems

• 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
• Simulation – Introduction and definitions
• Types of Simulation
• Monte –Carlo simulation
• Simulation of problems

• Probability
• Inverse Probability
• Bayes theorem and its applications in business

• Descriptive Statistics
• Measures of Dispersion
• Range
• Quartile Deviation
• Mean Deviation
• Standard deviation
• Variance

• Descriptive statistics
• Skewness& Kurtosis