Mathematics 11 Mathematics 11
UNIT I: Sets and Functions
- types
- operations
- Venn diagrams
- Domain
- range
- composition
- inverse
UNIT II: Algebra
- Basic operations
- polar form
- Quadratic Equations: Solutions
- nth term
- sum of n terms
- nth term
- sum of n terms
- Expansion
- general term
- Basic principles
- counting methods
UNIT III: Coordinate Geometry
UNIT IV: Calculus
- Definition
- standard limits
- Differentiation: Techniques
- derivatives of standard functions
- applications (rate of change, tangents, normals)
- Applications: Tangents, normals, rate of change
UNIT V: Statistics and Probability
- Statistics: Mean
- median
- mode
- variance
- standard deviation
- probability axioms
- conditional probability
UNIT VI: Linear Inequalities
- Linear Inequalities in Two Variables: Graphical representation
- solutions
- Applications: Real-life problems
UNIT VII: Conic Sections
- Parabola: Standard form, properties
- Ellipse: Standard form, properties
- Hyperbola: Standard form, properties
UNIT VIII: Three-Dimensional Geometry
- Coordinates
- Planes and Lines: Equations of planes and lines
- distance between a point and a plane
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