Mathematics 12 Mathematics 12
UNIT I: RELATIONS AND FUNCTIONS
UNIT II: ALGEBRA
- Matrices and determinants
- Probability
- Independent (Bernoulli) trials and Binomial distribution
UNIT III: CALCULUS
- Derivatives, continuity, and differentiability
- algebra of functions
- Applications of the Integrals: Applications in finding the area under simple curves
- especially lines
- circles/parabolas/ ellipses (in standard form only). Area between any of the two above said curves (the region should be clearly identifiable). Differential Equations: Definition
- order and degree
- general and particular solutions of a differential equation. Formation of differential equation whose general solution is given. Solution of differential equations by method of separation of variables
- solutions of homogeneous differential equations of first order and first degree
UNIT IV: VECTOR AND THREE-DIMENSIONAL GEOMETRY
UNIT V: LINEAR PROGRAMMING
- Introduction
- related terminology such as constraints
- objective function
- optimization
- different types of linear programming (L.P.) problems
- mathematical formulation of L.P. problems
- graphical method of solution for problems in two variables
- feasible and infeasible regions (bounded or unbounded)
- feasible and infeasible solutions
- optimal feasible solutions (up to three non-trivial constraints)
UNIT VI: PROBABILITY
- Introduction
- related terminology such as constraints
- objective function
- optimization
- different types of linear programming (L.P.) problems
- mathematical formulation of L.P. problems
- graphical method of solution for problems in two variables
- feasible and infeasible regions (bounded or unbounded)
- feasible and infeasible solutions
- optimal feasible solutions (up to three non-trivial constraints)
BETA
