Mathematics 12 Mathematics 12

UNIT I: Relations and Functions
  • Domain and Range of Real-Valued Functions and their graphs
  • the algebra of functions
UNIT II: Algebra
  • Algebra
  • and their properties
  • Inverse of a matrix
  • system of linear equations
  • linear dependence
  • independence
  • consistency and inconsistency
UNIT III: Coordinate Geometry
UNIT IV: Calculus
  • derivatives of a function
  • derivatives of composite functions
  • chain rule
  • and logarithmic differentiation
UNIT V: Vectors and Three-dimensional Geometry
  • Vectors and scalars
  • addition of vectors
  • components of a vector in two dimensions and three-dimensional space
  • scalar and vector products
  • scalar and vector triple products and their geometrical applications
UNIT VI: Linear Programming
  • Linear programming: Introduction
  • Mathematical formulation of the problem and simplex method
UNIT VII: Probability
  • multiplication theorem on probability
  • independent events
  • total probability
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