# Question Paper - Mathematics and Statistics 2015 - 2016 - H.S.C - 12th Board Exam - Maharashtra State Board (MSBSHSE)

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Unit12th Board Exam
SubjectMathematics and Statistics
Year2015 - 2016 (October)

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#### Topics

1 Mathematical Logic
1.01 Statements
1.02 Logical Connectives
1.03 Statement Patterns and Logical Equivalence
1.04 Algebra of Statements
1.05 Venn Diagrams
2 Matrices
2.01 Definition and Types of Matrices
2.02 Algebra of Matrices
2.03 Inverse of a Matrix
2.04 Solution of Equations
3 Continuity
3.01 Continuity of a Function at a Point
4 Differentiation
4.01 Derivative of Inverse Function
4.02 Logarithmic Differentiation
4.03 Derivative of Implicit Function
4.04 Derivative of Parametric Function
4.05 Second Order Derivative
5 Applications of Derivative
5.01 Increasing and Decreasing Functions
5.02 Maxima and Minima
6 Indefinite Integration
6.01 Definition of an Integral
6.02 Integral of Standard Functions
6.03 Rules of Integration
6.04 Methods of Integration
6.05 Integration by Parts
7 Definite Integrals
7.01 Definite Integral
7.02 Properties
7.03 Applications
8 Ratio, Proportion and Partnership
8.01 Ratio, Proportion and Partnership
9 Commission, Brokerage and Discount
9.01 Commission and Brokerage
9.02 Discount
10 Insurance and Annuity
10.01 Insurance
10.02 Annuity
11 Demography
11.01 Introduction, Definition
11.02 Uses of Vital Statistics
11.03 Measurements of Mortality
11.04 Life Tables
12 Bivariate Data and Correlation
12.01 Bivariate Frequency Distribution
12.02 Karl Pearsonâ€™S Coefficient of Correlation
12.03 Rank Correlation
13 Regression Analysis Introduction
13.01 Equation of Line of Regression
13.02 Regression Coefficients and Their Properties
14 Random Variable and Probability Distribution
14.01 Definition and Types of Random Variables
14.02 Probability Distribution of a Discrete Random Variable
14.03 Probability Distribution of a Continuous Random Variable
14.04 Binomial Theorem
14.05 Binomial Distribution
14.06 Poisson Distribution
14.07 Normal Distribution
15 Management Mathematics
15.01 Inequations
15.02 Linear Programming Problem
15.03 Assignment Problem
15.04 Sequencing

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Question paper for Mathematics and Statistics 2015 - 2016 12th Board Exam by Maharashtra State Board (MSBSHSE) for the courses 12th HSC Commerce (Marketing and Salesmanship), 12th HSC Commerce.
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