**Mathematics Syllabus**

**Mathematics Syllabus**

Subjects

Topic to be Covered

Relations and functions

Relations and Functions

Inverse Trigonometric Functions

Inverse Trigonometric Functions

Algebra

Matrices

Determinants

Determinants

Calculus

Continuity and Differentiability

Applications of Derivatives

Integrals

Applications of the Integrals

Differential Equations

Applications of Derivatives

Integrals

Applications of the Integrals

Differential Equations

Vectors and Three-Dimensional Geometry

Vectors

Three – dimensional Geometry

Three – dimensional Geometry

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).

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.

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