Mathematics 12 Mathematics 12

UNIT I: Relations and Functions
  • Equivalence
  • partial order
  • Domain
  • range
  • inverse functions
UNIT II: Algebra
  • operations
  • Properties
  • applications
  • Sequences and Series: Arithmetic
  • geometric sequences
  • Binomial Theorem: General term
  • expansion
UNIT III: Calculus
  • Differentiation: Techniques
  • applications
  • Integration: Techniques
  • applications
  • Applications: Areas
  • volumes
UNIT IV: Vectors and Three-Dimensional Geometry
  • Vectors: Operations
  • dot and cross product
  • Three-Dimensional Geometry: Coordinates
  • planes
  • lines
UNIT V: Probability
  • Probability Distributions: Binomial
  • normal distributions
  • Conditional Probability: Definitions
  • applications