• Mathematical Basis of Managerial Decisions : Functions, Application of Functions, Maxima & Minima
• 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

• Matrix Algebra Arithmatical( Matrix) Operations, Properties
• 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

• Solutions of Equations by Inverse Method, Gauss – Jordan Method and Cramer’s Rule
• Solution of Simultaneous linear equations using matrices
• Matrix inversion method
• Cramer’s rule

• Linear Programming problems
• Introduction
• Formulation of LPP

• Solution of LPP
• Graphical Method

• Solution of LPP
• Simplex method

• Introduction to Probability, Addition & 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

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

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

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

• Descriptive statistics
• Skewness& Kurtosis

• 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

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

• Testing of Hypothesis and Theory of Inference
• 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

• 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

• 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