Mathematics and Statistics Commerce part one Standard Twelve

Mathematics and Statistics Commerce Part One

Standard  Twelve XII

 

Mathematics and Statistics Commerce part one Standard Twelve

CHAPTERS  :

 

1 Mathematical Logic
2 Matrices
3 Differentiation
4 Applications of Derivatives
5 Integration
6 Definite Integration
7 Application of Definite Integration
8 Differential Equation and Applications

 

1 Mathematical logic

• Statement
•  Logical connectives
•  Quantifiers and quantified statements
•  Statement patterns and logical equivalence
•  Algebra of statements
•  Venn diagrams

2 Matrices

• Types of Matrices
• Algebra of Matrices
• Properties of Matrices
• Elementary Transformation
• Inverse of Matrix
• Application of Matrices

3 Differentiation

• Derivatives of composite functions.
• Derivatives of inverse functions.
• Derivatives of logarithmic functions.
• Derivatives of implicit function.
• Derivatives of parametric functions.
• Derivative of second order.

4 Applications of Derivatives

• Meaning of Derivatives
• Increasing and Decreasing Functions.
• Maxima and Minima
• Application of derivatives to Economics.

5 Integration

• Method of Substitution
• Some Special Integrals
• Integration by Parts
• Integration by Partial Fraction

6 Definite Integration

• Definite Integral
• Properties of Definite Integral

7 Applications of Definite Integration

8 Differential Equations and Applications

• Differential Equation
• Ordinary differential equation
• Order and degree of a differential equation
• Solution of a differential equation
• Formation of a differential equation
• Applications of differential equations

Additional Information

 

BOARD	Maharashtra State Board
STREAM	Commerce
PUBLISHER	Vivek Uttam Gosavi Controller
YEAR	2020
ED	First
PAGES	200
SUBJECT	Mathematics and Statistics
LANGUAGE	English