A.P., G.P., H.P. :Definitions of A. P. and G.P.; General term; Summation of first n-terms; A.M.and G.M.; Definitions of H.P.

Application of Calculus : Tangents and normals, conditions of tangency. Determination of monotonicity, maxima and minima.

Differential Equations : Formulation and solution of differential equations of the forms.
1) dy / dx = ƒ(x).g(y)

Integral calculus : Integration as a reverse process of differentiation, indefinite integral of standard functions.

Differential calculus : Functions, composition of two functions and inverse of a function, limit, continuity, derivative, chain ru

Circle : Equation of a circle with a given center and radius.

Conics : Definition, Directrix, Focus and Eccentricity, classification based on eccentricity.

Parabola :Standard equation.

Ellipse and Hyperbola : Reduction to standard form of general equation of second degree when xy term is absent.

Straight line : Slope of a line. Equation of lines in different forms, angle between two lines.

Co-ordinate Geometry

Trigonometry

Probability : Classical definition, addition rule, conditional probability and Bayes’ theorem, independence, multiplication rule.<

Sets, Relations and Mappings : Idea of sets, subsets, power set, complement, union, intersection and difference of sets, Venn diag

Matrices : Concepts of m x n (m≤3, n≤3) real matrices, operations of addition, scalar multiplication and multiplication of matrice

Infinite series : Binomial theorem for negative and fractional index.

Binomial theorem (positive integral index) :Statement of the theorem, general term, middle term, equidistant terms, properties of

Principle of Mathematical Induction : Statement of the principle.

Permutation and combination : Permutation of n different things taken r at a time (r≤n).

Quadratic Equations : Quadratic equations with real coefficients; Relations between roots and coefficients; Nature of roots; Forma