Mathematics 12 Mathematics 12
UNIT I: Relations and Functions
- Definition
- types
- domain
- range
- bijective
- composition
- inverse functions
- Graphs: Transformations
- applications
UNIT II: Algebra
- operations
- inverse
- Sequences and Series: Arithmetic and geometric sequences
- sums
- Expansion
- general term
- Basic principles
- counting methods
UNIT III: Calculus
- Differentiation: Techniques
- applications (tangent, normal, rate of change)
- Integration: Techniques
- definite and indefinite integrals
- applications (area under curve, volume)
UNIT IV: Vectors and Three-Dimensional Geometry
- Vectors: Operations
- dot product
- cross product
- Coordinates
UNIT V: Probability
- Probability Distributions: Binomial
- normal distributions
- Conditional Probability
- applications
BETA
