Mathematics

Sets and their representatives, Functions, Complex numbers, Quadratic expressions, Permutations and Combinations, Binomial theorem and its applications, Matrices and Theory of equations.

Trigonometric functions, Compound angles, Multiple and Sub multiple angles, Transformations, Trigonometric equations, Periodicity, Variation and Graphs, Properties of triangles, Inverse trigonometric functions, Hyperbolic and Inverse Hyperbolic functions, DeMoivere’s theorem and Heights and Distances.

Differential calculus, Integral calculus, Numerical integration and Differential equations.

Probability, Random variables and Probability distributions.

Locus, Translation and rotation of axes, Straight line and Pair of straight lines, Circles, System of circles, Parabola, Ellipse, Hyperbola and Polar coordinates.

Coordinates, Direction cosines and ratios.

Addition of vectors and scalar multiplication, Dot product and Cross product, Scalar and Vector triple products, Lines and Planes.