**Matrix Algebra**- Matrices Introduction
- Defferent 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

**Measures of Central Tendency – Mean, Median, Mode****Descriptive statistics****Measures of Central Tendency**- Mean
- Median
- Mode

**Advantages and disadvantages of– Mean, Median, Mode**

**Descriptive Statistics– Measures of Dispersion****Descriptive Statistics**- Measures of Dispersion
- Range
- Quartile Deviation
- Mean Deviation
- Standard deviation
- variance

**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

**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

**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

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