# Mathematics and Statistics 12th Board Exam HSC Commerce (Marketing and Salesmanship) Maharashtra State Board Topics and Syllabus

## Syllabus

1 Mathematical Logic
• Statements
• Logical Connectives
• Statement patterns and logical equivalence
• Algebra of statements
• Venn diagrams
1.1 Mathematical Logic
1.2 Matrices
1.4 Applications of Derivatives
1.6 Definite Integration
1.7 Applications of Definite Integration
2 Matrices
• Definition and types of matrices
• Algebra of matrices
• Inverse of a matrix
• Solution of equations
2.1 Commission, Brokerage and Discount
• Commission and Brokerage Agent
• Principal
• Commission
• Commission Agents
• Broker
• Factor
• Del Credere Agent
• Discount
• Drawer and Drawee
• Date of bill and Face value
• Nominal Due Date and Legal Due Date
• Discounting a Bill
• Banker’s Discount, Cash Value, Banker’s Gain
2.2 Insurance and Annuity
2.4 Time Series
2.5 Index Numbers
2.7 Assignment Problem and Sequencing
2.8 Probability Distributions
3 Continuity

Continuity of a function at a point

4 Differentiation
• Derivative of Inverse function
• Logarithmic Differentiation
• Derivative of implicit function
• Derivative of parametric function
• Second order derivative
5 Applications of Derivative
• Increasing and decreasing functions
• Maxima and minima
6 Indefinite Integration
• Definition of an integral
• Integral of standard functions
• Rules of Integration
• Methods of Integration
• Integration by parts
7 Definite Integrals
• Definite Integral
• Properties
• Applications
8 Ratio, Proportion and Partnership

Ratio, proportion and partnership

9 Commission, Brokerage and Discount
• Commission and Brokerage
• Discount
10 Insurance and Annuity

Insurance and Annuity

11 Demography
• Introduction, Definition
• Uses of vital statistics
• Measurements of Mortality
• Life tables
12 Bivariate Data and Correlation
• Bivariate frequency distribution
• Karl Pearson’s coefficient of correlation
• Rank correlation
13 Regression Analysis Introduction
• Equation of line of regression
• Regression coefficients and their properties
14 Random Variable and Probability Distribution
• Definition and types of random variables
• Probability Distribution of a Discrete Random Variable
• Probability Distribution of a Continuous Random Variable
• Binomial Theorem
• Binomial Distribution
• Poisson Distribution
• Normal Distribution
15 Management Mathematics
• Inequations
• Linear Programming Problem
• Assignment Problem
• Sequencing