Mathematics 11 Mathematics 11
UNIT I: Sets and Functions
- Definition
- Venn diagrams
- Definition
- domain
- range
- inverse functions
UNIT II: Algebra
- Basic operations
- polar form
- De Moivre’s theorem
- Quadratic Equations: Solutions
- discriminant
- roots
- nth term
- sum of n terms
- nth term
- sum of n terms
- Expansion
- general term
- Basic principles
- counting methods
UNIT III: Coordinate Geometry
- slope
- intercepts
- angle between lines
- tangent properties
- ellipse
- hyperbola - standard forms and properties
- Coordinates
UNIT IV: Calculus
- Definition
- standard limits
- Differentiation: Techniques
- derivatives of standard functions
- applications
- Applications: Rate of change
- tangents and normals
UNIT V: Statistics and Probability
- Statistics: Mean
- median
- mode
- variance
- standard deviation
- probability axioms
- conditional probability