**Matrix Algebra**- Matrices Introduction
- Deferent Types of matrices

**Addition, Subtraction and Multiplication of Matrices, Symmetric and Skew Symmetric matrix, Determinant of a Matrix, Inverse of a Matrix, Rank of a Matrix****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 Equation using Matrices**- 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: 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

**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

**Concepts of Population, Sampling Etc.****Survey and sampling**- Population and universe
- Sampling
- Sample
- Types of Sampling
- Steps in sampling

**Test of Significance****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

**Regression Analysis****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

**Parametric Tests****Parametric Test**- Hypothesis test for the mean
- Z test
- t Test

- ANOVA

- Hypothesis test for the mean

**Decision Theory****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 Tests****Non Parametric Test**- Mann-Whitney U test
- Kolmogorov-Smirnov Z test
- Chi square test

**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