Mathematical Basis of Managerial Decisions : Functions, Application of Functions, Maxima & Minima
- 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

Matrix Algebra Arithmatical( Matrix) Operations, Properties
- Matrices Introduction
- Different Types of matrices
- 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

Solutions of Equations by Inverse Method, Gauss – Jordan Method and Cramer’s Rule
- Solution of Simultaneous linear equations using matrices
  - Matrix inversion method
  - Cramer’s rule

Linear Programming problems
- Introduction
- Formulation of LPP

Solution of LPP
- Graphical Method

Solution of LPP
- Simplex method

Introduction to Probability, Addition & 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 theorem and its applications in business
- Probability
  - Inverse Probability
  - Bayes theorem and its applications in business

Descriptive statistics
- Measures of Central Tendency
  - Mean
  - Median
  - Mode
- Advantages and disadvantages of– Mean, Median, Mode

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

Descriptive statistics
- Skewness& Kurtosis

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

Theory of Sampling and Sampling Methods
- Survey and sampling
  - Population and universe
  - Sampling
  - Sample
  - Types of Sampling
  - Steps in sampling

Testing of Hypothesis and Theory of Inference
- 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

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

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