West Bengal Board Class 12 Mathematics Syllabus 2025-26 PDF Download

Unit Name

Marks

Unit I: Relations and Functions

8

Unit II: Algebra

11

Unit III: Calculus

35

Unit IV: Three-Dimensional Geometry

13

Unit V: Linear Programming

5

Unit VI: Probability

8

Total

80

Unit

Topics & Subtopics

Unit I: Relations and Functions

1. Relations and Functions - Types: Reflexive, Symmetric, Transitive, Equivalence - One-to-one and Onto functions - Composite functions, Inverse of a function
2. Inverse Trigonometric Functions - Definition, Range, Domain, Principal value branches

Unit II: Algebra

1. Matrices - Concept, notation, types: zero, identity, symmetric & skew-symmetric - Operations: addition, multiplication, scalar multiplication - Properties: commutativity, non-commutativity - Row/column operations - Invertible matrices (real entries)
2. Determinants - Up to 3×3 matrices - Properties, minors, cofactors - Applications: area of triangle - Adjoint & inverse of a matrix - Consistency & solutions of linear equations (2 or 3 variables) using inverse of a matrix

Unit III: Calculus

1. Continuity and Differentiability - Chain rule, composite functions - Inverse trigonometric, implicit, exponential & logarithmic functions - Parametric forms, second order derivatives
2. Applications of Derivatives - Increasing/decreasing functions - Tangents and normals - Maxima and minima (1st & 2nd derivative tests)
3. Integrals - Integration as inverse of differentiation - Methods: substitution, partial fractions, by parts - Definite integrals: properties, evaluation
4. Applications of Integrals - Area under curves: lines, circles, parabolas, ellipses (standard forms only)
5. Differential Equations - Definition: order, degree, general & particular solutions - Formation of DEs - Solutions: separation of variables, homogeneous first order & first degree

Unit IV: Vectors & 3D Geometry

1. Vectors - Scalars, vectors, magnitude & direction - Direction cosines/ratios - Types: equal, unit, zero, parallel, collinear - Position vector, addition, scalar multiplication - Section formula - Dot and cross product, projection of vectors
2. Three-Dimensional Geometry - Direction cosines/ratios between two points - Cartesian & vector equation of line and plane - Coplanar & skew lines, shortest distance between lines - Distance of a point from a plane

Unit V: Linear Programming

1. Linear Programming - Introduction, terminology: constraints, objective function, optimization - Types of L.P. problems - Graphical solution (2 variables) - Feasible/infeasible regions & solutions - Optimal feasible solution (up to 3 constraints)

Unit VI: Probability

1. Probability - Multiplication theorem - Conditional probability - Independent events - Total probability theorem - Bayes’ Theorem - Random variable and its probability distribution