HBSE Class 12 Syllabus 2023 Maths

Class – XII
Subject- Mathematics
Syllabus
Month Name of Contents Teaching Revision
Chapter Period period
April Relations and Introduction 19 3
Functions Types of Relations
Types of Functions
Composition of Functions and
Invertible Functions
Binary operations
Inverse Introduction
Trigonometric Basic Concepts
Functions Properties of Inverse Trigonometric
May Matrices Introductions Matrix 20 3
Types of Matrices
Operations on Matrices. Transpose
of a Matrix.
Symmetric and Skew Symmetric
Matrices. Elementary operation
(Transformation) of a matrix
Invertible Matrix
Determinants Introduction
Determinant
Properties of Determinants, Area of
Triangles. Minors and cofactors.
Adjoint and Inverse of a Matrix.
Application of Determinants and
Matrices.
June Summer Vacation
July Continuity and Introduction 19 3
Differentiability Continuity
Differentiability.
Exponential and Logarithmic
Logarithmic Differentiation
Derivatives of Functions in
Parametric Forms
Second order Derivatives
Mean Value Theorm.
August Application of Introductions 19 3

Derivatives Rate of Change of Quantities
Increasing and Decreasing
Tangents and Normals.
Approximations.
Maxima and Minima
September Integrals Introduction 5 10
Integration as an Inverse
Process of Differentiation
Method of Integration
Integrals of Some Particular
Integration by partial fractions
Integration by Parts.
October Application of Definite Integral 17 3
Integrals Fundamental theorm of Calculus
Evaluation Definite Integrals by
substitutions.
Some Properties of Definite
Intergrals
Introduction
Area Under simple Curve,
Area between Two Curves
Differential Introduction
Equations Basic Concepts
General and Particular solutions of
a Differential
Formation of a Differential
Equation whose General Solutions
is given.
Method of solving First order, First
degree
Differential Equation
November Probability Introduction 14 3
Conditional Probability
Multiplication Theorm on
Probability
Independent Events
Bayes Theorm.
Random Variables and its
Probability Distributions
Bernoulli Trials and Binomial
Distribution

December Vectors Introduction 15 3
Some Basic Concepts
Types of Vectors
Addition of Vectors
Multiplication of vector by a scalar
Product of Two vectors
Linear Introduction
Programming Linear Programming
Problems and its Mathematical
Formulation.
Different Types of a linear
Programming Problems
January Three Introductions 8 3
Dimensional Direction cosines and Direction
Geometry ratio of a line
Equation of a line in space
Angles between Two lines
Shortest Distance between Two
lines
Planes
Co planarity of Two lines
Angle between Two Planes
Distance of a point from a plane.
Angle between a line and a plane
February Revision
March Examination