Mathematics 12 Mathematics 12

UNIT I: Relations and Functions
  • Definition
  • domain
  • range
  • inverse functions
  • Graphs: Transformations
  • applications
UNIT II: Algebra
  • operations
  • inverse
  • Sequences and Series: Arithmetic and geometric sequences
  • sums
  • 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 under curve, volume)
UNIT IV: Vectors and Three-Dimensional Geometry
  • dot product
  • cross product
  • Three-Dimensional Geometry: Coordinates
UNIT V: Probability
  • Probability Distributions: Binomial
  • normal distributions