B Com Business Mathematics and Statistics:- Introduction to business mathematics and statistics
- Basic concepts of business mathematics and statistics
- Application of mathematics and statistics in business decision-making
- Role of mathematics and statistics in analyzing business data
- Use of statistical tools and techniques in business research
- Interpretation and presentation of statistical data
- Use of mathematical models in business forecasting and planning
B Com Matrices and Determinants:- Introduction to matrices and determinants
- Operations on matrices (addition, subtraction, multiplication)
- Properties of matrices and determinants
- Inverse of a matrix and its applications
- Solving systems of linear equations using matrices
- Determinants and their properties
- Cramer's rule and its application in solving linear equations
B Com Differentiation:- Introduction to differentiation
- Basic concepts and rules of differentiation
- Derivatives of elementary functions
- Applications of derivatives in business and economics
- Optimization problems using differentiation
- Marginal analysis and its use in decision-making
- Higher order derivatives and their applications
B Com Integration:- Introduction to integration
- Basic concepts and rules of integration
- Techniques of integration (substitution, integration by parts)
- Definite and indefinite integrals
- Applications of integration in business and economics
- Calculation of areas and volumes using integration
- Improper integrals and their evaluation
B Com Presentation of Data:- Introduction to data presentation
- Tabulation of data
- Frequency distribution and its graphical representation
- Measures of central tendency (mean, median, mode)
- Measures of dispersion (range, variance, standard deviation)
- Graphical representation of data (bar graphs, pie charts, histograms)
- Interpretation and analysis of data presentations
B Com Classification and Tabulation:- Introduction to classification and tabulation
- Types and techniques of classification
- Tabulation of data using different methods
- Construction and interpretation of frequency tables
- Application of classification and tabulation in business analysis
- Use of classified data in decision-making and forecasting
- Analysis of classified data using statistical measures
B Com Measures of Central Tendency:- Introduction to measures of central tendency
- Mean and its calculation
- Median and its calculation
- Mode and its calculation
- Comparison and interpretation of different measures
- Use of measures of central tendency in data analysis and decision-making
- Application of measures of central tendency in business and economics
B Com Analysis of Univariate Data:- Introduction to univariate data analysis
- Data collection and organization
- Measures of central tendency and dispersion
- Graphical representation of data
- Skewness and kurtosis of data
- Interpretation and analysis of univariate data
- Application of univariate data analysis in business and economics
B Com Measures of Dispersion:- Introduction to measures of dispersion
- Range and its calculation
- Variance and its calculation
- Standard deviation and its calculation
- Coefficient of variation
- Interpretation and analysis of dispersion measures
- Use of measures of dispersion in data analysis and decision-making
B Com Measures of Skewness and Kurtosis:- Introduction to skewness and kurtosis
- Calculation and interpretation of skewness measures
- Calculation and interpretation of kurtosis measures
- Analysis of skewness and kurtosis in data distributions
- Use of skewness and kurtosis in data analysis and decision-making
- Application of skewness and kurtosis in business and economics
B Com Correction and Regression:- Introduction to correction and regression
- Calculation and interpretation of correction coefficient
- Calculation and interpretation of regression coefficient
- Simple linear regression analysis
- Multiple linear regression analysis
- Use of correction and regression analysis in business forecasting
- Application of correction and regression in business decision-making
B Com Time Series:- Introduction to time series analysis
- Components of time series (trend, seasonal, cyclical, irregular)
- Methods of time series analysis (moving averages, exponential smoothing)
- Forecasting techniques using time series data
- Interpretation and analysis of time series data
- Use of time series analysis in business forecasting and planning
- Application of time series analysis in business and economics
B Com Index Number:- Introduction to index numbers
- Types of index numbers (price index, quantity index)
- Calculation and interpretation of index numbers
- Construction and use of index numbers in business analysis
- Comparison and analysis of index numbers
- Application of index numbers in business and economics
- Limitations and challenges in using index numbers
B Com Probability:- Introduction to probability theory
- Basic concepts and rules of probability
- Probability distributions (discrete and continuous)
- Calculation and interpretation of probabilities
- Application of probability in business decision-making
- Use of probability in risk analysis and forecasting
- Probability models in business and economics
B Com Theoretical Distributions:- Introduction to theoretical distributions
- Binomial distribution and its characteristics
- Poisson distribution and its characteristics
- Normal distribution and its characteristics
- Calculation and interpretation of probabilities using theoretical distributions
- Application of theoretical distributions in business and economics
- Limitations and assumptions of theoretical distributions
B Com Interpolation & Extrapolation:- Introduction to interpolation and extrapolation
- Methods of interpolation (Lagrange's method, Newton's method)
- Calculation and interpretation of interpolated values
- Methods of extrapolation (trend analysis, regression analysis)
- Calculation and interpretation of extrapolated values
- Use of interpolation and extrapolation in business forecasting
- Application of interpolation and extrapolation in business and economics
B Com Elements of Operation Research:- Introduction to operation research
- Basic concepts and principles of operation research
- Mathematical modeling in operation research
- Techniques of operation research (linear programming, network analysis)
- Application of operation research in business decision-making
- Optimization problems and solutions using operation research
- Limitations and challenges in using operation research in business
This course is helpful for the following exams: B Com