Mathematics Class XII Syllabus

Mathematics Class XII Syllabus

Course Structure

Unit	Topic	Marks
I.	Relations and Functions	10
II.	Algebra	13
III.	Calculus	44
IV.	Vectors and 3-D Geometry	17
V.	Linear Programming	6
VI.	Probability	10
		100

Unit I: Relations and functions

• Relations and Functions
• Inverse Trigonometric Functions

Unit II: Algebra

• Matrices
• Determinants

Unit III: Calculus

• Continuity and Differentiability
• Applications of Derivatives
• Integrals
• Applications of the Integrals
• Differential Equations

Unit IV: Vectors and Three-Dimensional Geometry

• Vectors
• 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, feasible and infeasible solutions, optimal feasible solutions (up to three non-trivial constraints).

Unit VI: Probability

Conditional probability, multiplication theorem on probability. independent events, total probability, Baye's theorem, Random variable and its probability distribution, mean and variance of random variable. Repeated independent (Bernoulli) trials and Binomial distribution.