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

## Topics with syllabus and resources

100.00 Mathematical Logic
• Statements
• Logical Connectives
• Statement patterns and logical equivalence
• Algebra of statements
• Venn diagrams
200.00 Matrices
• Definition and types of matrices
• Algebra of matrices
• Inverse of a matrix
• Solution of equations
300.00 Continuity

Continuity of a function at a point

400.00 Differentiation
• Derivative of Inverse function
• Logarithmic Differentiation
• Derivative of implicit function
• Derivative of parametric function
• Second order derivative
500.00 Applications of Derivative
• Increasing and decreasing functions
• Maxima and minima
600.00 Indefinite Integration
• Definition of an integral
• Integral of standard functions
• Rules of Integration
• Methods of Integration
• Integration by parts
700.00 Definite Integrals
• Definite Integral
• Properties
• Applications
800.00 Ratio, Proportion and Partnership

Ratio, proportion and partnership

900.00 Commission, Brokerage and Discount
• Commission and Brokerage
• Discount
1000.00 Insurance and Annuity

Insurance and Annuity

1100.00 Demography
• Introduction, Definition
• Uses of vital statistics
• Measurements of Mortality
• Life tables
1200.00 Bivariate Data and Correlation
• Bivariate frequency distribution
• Karl Pearson’s coefficient of correlation
• Rank correlation
1300.00 Regression Analysis Introduction
• Equation of line of regression
• Regression coefficients and their properties
1400.00 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
1500.00 Management Mathematics
• Inequations
• Linear Programming Problem
• Assignment Problem
• Sequencing
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