Punjab Board Class 12 Mathematics Syllabus 2026-27

Exam scheme

Time 3 hours. Theory 80 marks + internal 20 marks = 100.

Units

Unit I — Relations and functions: types of relations (reflexive, symmetric, transitive, equivalence); one-one and onto functions, composition and invertible functions; inverse trigonometric functions (definition, range, domain, principal values, graphs, properties).

Unit II — Algebra: matrices (types, operations, transpose, symmetric and skew-symmetric, invertible matrices); determinants up to 3×3, minors, cofactors, area of a triangle, adjoint and inverse, solving linear equations in two or three variables.

Unit III — Calculus: continuity and differentiability; applications of derivatives; integrals; differential equations (as listed in the official PDF).

Unit IV — Vectors and three-dimensional geometry

Unit V — Linear programming: constraints, objective function, graphical method in two variables, feasible and infeasible regions, optimal solutions (up to three non-trivial constraints).

Unit VI — Probability