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