• 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
        • Link relative method