Class 12 Mathematics (गणित) - NCERT & Central Board of Secondary Education (CBSE) Official Curriculum
Official syllabus prescribed by NCERT and followed across CBSE, CISCE, NIOS, and State Boards. Explore all 13 chapters in English Medium or Hindi Medium (हिंदी माध्यम) with dedicated video masterclasses.
Class 12 Mathematics (गणित)
Official sequenced chapter syllabus prescribed by NCERT and followed across CBSE, CISCE, NIOS, and State Education Boards nationwide. Every chapter is mapped to dedicated video masterclasses.
Chapter List & Video Masterclasses
13 of 13 ChaptersRelations and Functions
Types of relations: reflexive, symmetric, transitive, equivalence relations. Types of functions: one-one (injective), onto (surjective), bijective functions.
Inverse Trigonometric Functions
Definition, range, domain, principal value branches of inverse trigonometric functions (sin⁻¹x, cos⁻¹x, tan⁻¹x), and elementary properties.
Matrices
Concept, notation, order, equality, types of matrices, addition, multiplication, transpose of a matrix, symmetric and skew symmetric matrices, and invertible matrices.
Determinants
Determinant of square matrix (up to 3 × 3), minors and cofactors, applications in finding area of triangle, adjoint and inverse of matrix, solving systems of linear equations.
Continuity & Differentiability
Continuity and differentiability, derivative of composite functions (chain rule), implicit functions, inverse trigonometric functions, exponential and logarithmic functions.
Application of Derivatives
Rate of change of quantities, increasing and decreasing functions, maxima and minima (first and second derivative tests), and simple real-world optimization problems.
Integrals
Integration as inverse of differentiation, integration by substitution, partial fractions, and by parts. Fundamental Theorem of Calculus, and definite integral properties.
Application of Integrals
Applications in finding area under simple curves, lines, circles, parabolas, and ellipses in standard form using definite integrals.
Differential Equations
Order and degree of differential equation, general and particular solutions, variable separable method, homogeneous differential equations, and first order linear differential equations.
Vector Algebra
Vectors and scalars, magnitude and direction, direction cosines and ratios, types of vectors, addition, scalar multiplication, dot product, and cross product of vectors.
Three Dimensional Geometry
Direction cosines and direction ratios of a line joining two points, Cartesian and vector equation of a line, coplanar and skew lines, shortest distance between two lines.
Linear Programming
Introduction, related terminology: constraints, objective function, optimization, graphical method of solving linear programming problems in two variables, corner point method.
Probability
Conditional probability, multiplication theorem on probability, independent events, total probability theorem, Bayes’ theorem, and random variables.
Full Board Marathons & Chapter One-Shots
Watch complete full-syllabus revision sessions and chapter-by-chapter deep dives by India’s most acclaimed educators (Physics Wallah, Dear Sir, Vedantu, Magnet Brains, NCERT Wallah). Mapped directly to official board blueprints.