CBSE Class 12 Maths Syllabus 2023-24 / Class 12 Math Syllabus
Here we provide the latest CBSE Class 12 Maths Syllabus 2023 24. You can also Download the new and revised CBSE Mathematics syllabus class 12 PDF. The present revised syllabus of class 12 maths has been designed in accordance with National Curriculum Framework 2005. The class 12th maths syllabus CBSE in the subject of Mathematics has undergone changes from time to time in accordance with the growth of the subject and the emerging needs of society.
Math is a scoring subject but needs a lot of practice and conceptual understanding of the topics. class 12th maths syllabus CBSE helps you understand the important topics. We advise you to read the CBSE class 12 maths syllabus 2023 24 carefully. Class 12th Maths syllabus also helps you in preparation for competitive exams like IIT, AIEEE and CAT etc.
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CBSE Class 12 Math Syllabus 2023-24 Pdf
Click here to download Class 12th Math Syllabus Pdf
CBSE Syllabus for Class 12 Maths 2023 24
The detailed and chapter-wise CBSE class 12 math syllabus 2023 24 is given below:
Unit-I: Relations and Functions
1. Relations and Functions 15 Periods
Types of relations: reflexive, symmetric, transitive and equivalence relations. One-to-one and onto functions.
2. Inverse Trigonometric Functions 15 Periods
Definition, range, domain, principal value branch. Graphs of inverse trigonometric functions.
Unit-II: Algebra
1. Matrices 25 Periods
Concept, notation, order, equality, types of matrices, zero and identity matrix, transpose of a matrix, symmetric and skew-symmetric matrices. Operation on matrices: Addition and multiplication and multiplication with a scalar. Simple properties of addition, multiplication and scalar multiplication. On-commutativity of multiplication of matrices and existence of non-zero matrices whose product is the zero matrix (restrict to square matrices of order 2). Invertible matrices and proof of the uniqueness of inverse, if it exists; (Here all matrices will have real entries).
2. Determinants 25 Periods
Determinant of a square matrix (up to 3 x 3 matrices), minors, co-factors and applications of determinants in finding the area of a triangle. Adjoint and inverse of a square matrix. Consistency, inconsistency and number of solutions of a system of linear equations by examples, solving a system of
linear equations in two or three variables (having unique solutions) using the inverse of a matrix.
Unit-III: Calculus
1. Continuity and Differentiability 20 Periods
Continuity and differentiability, chain rule, a derivative of inverse trigonometric functions, ππππ sinβ1 π₯, cosβ1 π₯ and tanβ1 π₯, derivative of implicit functions. Concept of exponential and logarithmic functions. Derivatives of logarithmic and exponential functions. Logarithmic differentiation, and derivative of functions
expressed in parametric forms. Second-order derivatives.
2. Applications of Derivatives 10 Periods
Applications of derivatives: rate of change of bodies, increasing/decreasing functions, maxima and minima (first derivative test motivated geometrically and second derivative test given as a provable tool). Simple problems (that illustrate basic principles and understanding of the subject as well as real-
life situations).
3. Integrals 20 Periods
Integration as an inverse process of differentiation. Integration of a variety of functions by substitution, by partial fractions and by parts, Evaluation of simple integrals of the following types and problems based on them.
4. Applications of the Integrals 15 Periods
Applications in finding the area under simple curves, especially lines, circles/ parabolas/ellipses (in standard form only)
5. Differential Equations 15 Periods
Definition, order and degree, general and particular solutions of a differential equation. Solution of differential equations by the method of separation of variables, solutions of homogeneous differential equations of the first order and first degree. Solutions of linear differential equation of the type:
Unit-IV: Vectors and Three-Dimensional Geometry
1. Vectors 15 Periods
Vectors and scalars, magnitude and direction of a vector. Direction cosines and direction ratios of a vector. Types of vectors (equal, unit, zero, parallel and collinear vectors), position vector of a point, negative of a vector, components of a vector, the addition of vectors, multiplication of a vector by a scalar, position vector of a point dividing a line segment in a given ratio. Definition, Geometrical Interpretation, properties and application of scalar (dot) product of vectors, vector (cross) product of vectors.
List of Books to Cover NCERT Syllabus Class 12 Math
Here is the list of recommended books for Mathematics:
- Mathematics Textbook for Class XI, NCERT Publications
- Mathematics Part I β Textbook for Class XII, NCERT Publication
- Mathematics Part II β Textbook for Class XII, NCERT Publication
- Mathematics Exemplar Problem for Class XI, Published by NCERT
- Mathematics Exemplar Problem for Class XII, Published by NCERT
- Mathematics Lab Manual class XI, published by NCERT
- Mathematics Lab Manual class XII, published by NCERT
CBSE Class 12th Maths Syllabus 2023-2024 β Course Structure
Before you read the CBSE class 12 math syllabus you have to understand the course structure to complete the ncert class 12 math syllabus.
| No. | Units | Marks |
| I. | Relations and Functions | 08 |
| II. | Algebra | 10 |
| III. | Calculus | 35 |
| IV. | Vectors and Three-Dimensional Geometry | 14 |
| V. | Linear Programming | 05 |
| VI. | Probability | 08 |
| Total Theory | 80 | |
| Internal Assessment | 20 | |
| Grand Total | 100 |
Internal Assessment
Internal Assessment marks given in the CBSE Syllabus for Class 12 Maths
- Periodic Tests ( Best 2 out of 3 tests conducted): 10 marks
- Mathematics Activities: 10 marks