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

Academic year:

Syllabus

1 Mathematical Logic
  • Statements
  • Logical Connectives
  • Statement patterns and logical equivalence
  • Algebra of statements
  • Venn diagrams
1.1 Mathematical Logic
1.2 Matrices
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
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
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