NCERT Mathematics

Types of relations, functions, composition and invertible functions.

Domains, ranges and properties of inverse trig functions.

Operations, transpose, symmetric, invertible matrices.

Properties, cofactors, applications in area and system of equations.

Continuity, chain rule, implicit, logarithmic differentiation.

Rate of change, increasing/decreasing, tangents, maxima/minima.

Indefinite integrals, substitution, partial fractions, by parts.

Area under curves between lines, circles, parabolas and ellipses.

Order, degree, formation, variable separable, linear DEs.

Types, operations, scalar and vector products.

Direction cosines, lines, planes in 3D space.

Feasible region, objective function, corner point method.

Conditional probability, Bayes' theorem, random variables, distributions.