Mathematics Syllabus for HBSE Class 12th 2024

Sets, binary relations, functions, composition, inverse.

Arcsin, arccos, arctan, properties, applications.

Operations, determinants, inverse, applications to solve systems of equations.

Computation, properties, applications in area, volume.

Limits, derivatives, applications in tangents, maxima/minima.

Rate of change, optimization problems, curve sketching.

Definite & indefinite integrals, applications in area, volume, work.

Average value, differential equations, solving motion problems.

First order, second order, linear equations, applications.

Vectors, scalar & vector products, lines, planes, applications in 3D geometry.

Direction cosines, distances, spheres, cones, cylinders.

Linear inequalities, graphical method, simplex method, applications in optimization.

Basic concepts, random variables, probability distributions, binomial theorem, applications.