Mathematics 12 Mathematics 12
UNIT I: Relations and Functions
- Reflexive
- symmetric
- transitive
- bijective
- composition
- inverse functions
- Graphs: Transformations
- applications
UNIT II: Algebra
- operations
- inverse
- Sequences and Series: Arithmetic and geometric sequences
- sums
- Binomial Theorem: Expansion
- general term
- Permutations and Combinations: Basic principles
- counting methods
UNIT III: Calculus
- Differentiation: Techniques
- applications (tangent, normal, rate of change)
- Integration: Techniques
- definite and indefinite integrals
- applications (area, volume)
UNIT IV: Vectors and Three-Dimensional Geometry
- Vectors: Operations
- dot product
- cross product
- Three-Dimensional Geometry: Lines
- planes
- distances
- angles
UNIT V: Probability
- Probability Distributions: Binomial
- normal distributions
- Conditional Probability: Definitions
- applications
BETA
