Mathematics 12 Mathematics 12
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