- Matrices
- Matrices Introduction
- Deferent Types of matrices
- Matrix Multiplication, Arithmetical Operations, Matrix Determinants, Inverse 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 Equations Using Matrices
- Solution of Simultaneous linear equations using matrices
- Matrix inversion method
- Cramer’s rule
- Sets
- Introduction and definition
- Different types of sets
- Union, intersection and complement of a set
- Difference of two sets
- Venn diagram
- Basic Probability Concepts – Addition and Multiplication Theorems of Probability, Marginal, Joint and Conditional Probability
- Probability
- Definitions –random experiment, sample space events etc.
- Statement of Addition theorem and multiplication theorems
- Problems based on the above theorems
- Conditional probability
- Baye’s Theorem and its Business Applications
- Probability
- Inverse Probability
- Bayes theorem and its applications in business
- Correlation: Different Types of Correlation, Karl Pearson’s Correlation Coefficient, Spearman’s Rank Correlation Coefficient, Concurrent Deviation Method, Coefficient of Determination
- 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: Line of Best Fit, Least Square Method, Business Applications.
- 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
- Time Series Analysis: Different Components of Time Series, Application of Time Series in Business Forecasting
- 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