- Mathematical Basis of Managerial Decisions : Functions, Appliaion of Functions, Maxima & Minima
- Linear Programming – Formulation
- Linear Programming problems
- Introduction
- Formulation of LPP
- Linear Programming – Graphical Solution
- Solution of LPP
- Graphical Method
- Linear Programming – Simplex Method.
- Solution of LPP
- Simplex method
- OR and Optimization Models
- Operations Research
- Introduction and definitions
- Basic terms
- Phases of OR
- Linear programming –phases and definitions
- Descriptive Statistics – Measures of Central Tendency
- Descriptive Statistics– Measures of Dispersion
- Descriptive Statistics
- Measures of Dispersion
- Range
- Quartile Deviation
- Mean Deviation
- Standard deviation
- variance
- Skewness & Kurtosis
- Descriptive statistics
- Skewness & Kurtosis
- 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
- Regression Analysis
- 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
- 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
- Simple Business Application Problems
- Bayes Theorems and its Applications
- Probability
- Inverse Probability
- Bayes theorem and its applications in business
- 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
- 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
- Concepts of Population, Sampling Etc.
- Survey and sampling
- Population and universe
- Sampling
- Sample
- Types of Sampling
- Steps in sampling
- Test of Significance
- Hypothesis testing
- 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
- Parametric Tests
- Parametric Test
- Hypothesis test for the mean
- ANOVA
- Non Parametric Tests
- Non Parametric Test
- Mann-Whitney U test
- Kolmogorov-Smirnov Z test
- Chi square test
- Transportation model – Initial Basic Feasible Solutions, Optimum Solution
- Transportation problem
- Introduction
- Mathematical Formulation
- Methods to find initial solution
- North west corner method
- Minimum cost method
- VAM
- Optimum solution
- MODI method
- Game Theory-Zero Sum Games: Arithmetic and Graphical Method
- Theory of games-Introduction
- Definitions-Pay off, Zero sum Game, Maximin, minimax criteria, saddle point etc.
- Solving games-Graphical method, algebraic method and Dominance method
- Simulation – Types of simulation, Monte Carlo Simulation, Simulation Problems
- Simulation
- Simulation – Introduction and definitions
- Types of Simulation
- Monte –Carlo simulation
- Simulation of problems