Mathematics 12 Mathematics 12
UNIT I: Relations and Functions
- Definition
- types
- domain
- range
- bijective
- composition
- inverse functions
- Graphs of Functions: Transformations
- sketching
UNIT II: Algebra
- Operations
- inverse
- applications
- Properties
- Cramer’s rule
- Sequences and Series
- sums
- Expansion
- general term
- properties
UNIT III: Calculus
- Differentiation: Techniques
- derivatives of standard functions
- applications (tangent
- normal)
- Integration: Techniques (substitution
- partial fractions)
- definite and indefinite integrals
- applications (area
- volume)
UNIT IV: Vectors and Three-Dimensional Geometry
- Scalar and vector products
- dot and cross products
- Coordinates
- lines and planes
UNIT V: Probability
- Probability Distributions: Binomial
- normal distributions
- Conditional Probability
- applications
BETA
