Mathematics and Statistics Part One Commerce Standard Eleven

Mathematics and Statistics Part One Commerce

Standard Eleven  XI

Mathematics and Statistics Part One Commerce Standard Eleven

 

CHAPTERS  :

1 Sets and Relations
2 Functions
3 Complex Numbers
4 Sequences and Series
5 Locus and Straight Line
6 Determinants
7 Limits
8 Continuity
9 Differentiation

 

1. SETS AND RELATIONS

• Representation of a Set
• Intervals
• Types of sets
• Operations on sets
• Ordered pair
• Relations

2 . FUNCTIONS

• Function, Domain, Co-domain, Range
• Types of functions – One-one, Onto
• Representation of function
• Evaluation of function
• Fundamental types of functions
• Some special functions

3. COMPLEX NUMBERS

• Complex number
• Algebra of complex number
• Solution of Quadratic equation
• Cube roots of unity

4. SEQUENCES AND SERIES

• Geometric progression (G.P.)
• nth term of a G.P.
• Sum of n terms of a G.P.
• Sum of infinite terms of a G.P.
• Sigma notation.

5. LOCUS AND STRAIGHT LINE

• Locus
• Slope of a line
• Perpendicular and parallel lines
• Angle between interesting lines
• Equations of lines in different forms :
Ø Slope point form
Ø Slope intercept form
Ø Two points form
Ø Double intercept form
Ø Normal form
Ø General form
• Distance of a point from a line
• Distance between parallel lines

6. DETERMINANTS

· Definition of Determinants
· Properties of Determinants
· Applications of Determinants
· Cramer’s Rule
· Consistency of linear equations
· Area of triangle
· Collinearity of three points

7. LIMITS

• Definition of Limit
• Algebra of Limits
• Evaluation of Limits
 Direct Method
 Factorization Method
 Rationalization Method
• Limits of Exponential and Logarithmic
Functions

8. CONTINUITY

• Continuity of a function at a point.
• Continuity of a function over an interval

9. DIFFERENTIATION

• The meaning of rate of change.
• Meaning of derivative and the formula associated with it.
• Derivatives of some standard functions.
• Some applications of derivatives

 

Additional Information

 

BOARD	Maharashtra State Board
STREAM	Commerce
PUBLISHER	Vivek Uttam Gosavi Controller
YEAR	2024
ED	First
PAGES	144
SUBJECT	Mathematics and Statistics Part One Commerce
LANGUAGE	English