• 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

• 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