- 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
- ANOVA
- 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
- Link relative method