**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

- Solution of Simultaneous linear equations using matrices

**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

- Probability

**Bayes theorem and its applications in business**- Probability
- Inverse Probability
- Bayes theorem and its applications in business

- Probability

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

- Advantages and disadvantages of– Mean, Median, Mode

- Measures of Central Tendency

**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

- Survey and 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

- Test of Significance

**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

**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