CBSE Maths Syllabus for Class 12 2024: Download PDF with Important Resources Here

CBSE Class 12 Maths Syllabus 2023-24: The 12th class Mathematics curriculum for the 2023-24 session is available now. Find here the direct link to download the PDF of Class 12 Mathematics curriculum.

Mar 8, 2024, 18:22 IST

CBSE Maths Syllabus 2024 for Class 12th Board Exam

CBSE Class 12 Maths Syllabus 2024: Central Board of Secondary Education has released the Mathematics (subject code 041) curriculum for class 12th students of the 2023-2024 academic session. There are a total of six units in the syllabus and the theory exam is going to be conducted for 80 marks. The syllabus does not have chapter-wise division of marks. Instead, the weightage is given on the basis of the competencies which the questions would evaluate. Students can check the complete contents of the syllabus and download the CBSE Class 12 Maths Syllabus 2023-24 PDF from this article.

CBSE Class 12 Maths Board Exam 2024: Key Points

Board Name	Central Board of Secondary Education (CBSE)
Exam Name	CBSE Class 12 Maths Board Exam 2024
Subject	Mathematics
Subject Name	041
Total Marks	80
Time Duration	3 hours 15 minutes
Number of Sections	5
Number of Questions	38
Types of Questions	MCQs, Very Short Answer Questions, Short Answer Questions, Long Answer Questions, Case-Study Based Questions
Exam Date	March 9, 2024
Exam Timings	10:30 AM - 1:30 PM

CBSE 12th Maths Syllabus Highlights

Also Check: CBSE Class 12 Board Exam Date sheet 2024, Exam Dates

Subject	Maths
Subject Code	041
Marks Breakup	100 (Theory 80 + Project 20)

CBSE Class 12 Maths 2023-24 Course Structure

There are a total of six units in the 12th Maths curriculum of CBSE for 2023-24. Unit 5 Linear Programming carries the least weightage - 5 marks. Meanwhile, the 3rd unit Calculus carries 35 marks weightage which is the highest.

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	80
	Internal Assessment	20

CBSE Maths Syllabus for Class 12 2023-24

Check the CBSE Class 12 Maths syllabus 2024 below. Herem we have covered the detailed, topic-wise syllabus for all the students. You can refer to the syllabus provided here without slightest of hesitation since it has been picked up from the CBSE's website directly. Also, check the unit-wise and chapter-wise breakdown of the syllabus content here.

Unit-I: Relations and Functions

Relations and Functions

Types of relations: reflexive, symmetric, transitive and equivalence relations. One to one and onto functions.

Inverse Trigonometric Functions

Definition, range, domain, principal value branch. Graphs of inverse trigonometric functions.

Unit-II: Algebra

Matrices

Concept, notation, order, equality, types of matrices, zero and identity matrix, transpose of a matrix, symmetric and skew symmetric matrices. Operations on matrices: Addition and multiplication and multiplication with a scalar. Simple properties of addition, multiplication and scalar multiplication. Non- 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).

Determinants

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 system of linear equations by examples, solving system of linear equations in two or three variables (having unique solution) using inverse of a matrix.

Unit-III: Calculus

Continuity and Differentiability

Continuity and differentiability, chain rule, derivative of inverse trigonometric functions, 𝑙𝑖𝑘𝑒 sin−1 𝑥 , cos−1 𝑥 and tan−1 𝑥, derivative of implicit functions. Concept of exponential and logarithmic functions.

Derivatives of logarithmic and exponential functions. Logarithmic differentiation, derivative of functions expressed in parametric forms. Second order derivatives.

Applications of Derivatives

Applications of derivatives: rate of change of quantities, 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).

CBSE Class 12 Maths Syllabus 2023-24

Applications of the Integrals

Applications in finding the area under simple curves, especially lines, circles/ parabolas/ellipses (in standard form only)

Differential Equations

Definition, order and degree, general and particular solutions of a differential equation. Solution of differential equations by method of separation of variables, solutions of homogeneous differential equations of first order and first degree. Solutions of linear differential equation of the type:

CBSE Class 12 Maths Differential Equations

Unit-IV: Vectors and Three-Dimensional Geometry

Vectors

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, 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.

Three - dimensional Geometry

Direction cosines and direction ratios of a line joining two points. Cartesian equation and vector equation of a line, skew lines, shortest distance between two lines. Angle between two lines.

Unit-V: Linear Programming

Linear Programming

Introduction, related terminology such as constraints, objective function, optimization, graphical method of solution for problems in two variables, feasible and infeasible regions (bounded or unbounded), feasible and infeasible solutions, optimal feasible solutions (up to three non-trivial constraints).

Unit-VI: Probability

Probability 30 Periods

Conditional probability, multiplication theorem on probability, independent events, total probability, Bayes’ theorem, Random variable and its probability distribution, mean of random variable.

CBSE Class 12 Maths (043) Question Paper Design 2023-24

The question paper will be designed in such a way so as to check a student's remembering, understanding, applying, analyisng, evaluating and creating.

Typology of Questions	Total Marks	% Weightage
Remembering: Exhibit memory of previously learned material by recalling facts, terms, basic concepts, and answers. Understanding: Demonstrate understanding of facts and ideas by organising, comparing, translating, interpreting, giving descriptions, and stating main ideas.	44	55
Applying: Solve problems to new situations by applying acquired knowledge, facts, techniques and rules in a different way.	20	25
Analysing: Examine and break information into parts by identifying motives or causes. Make inferences and find evidence to support generalisations. Evaluating: Present and defend opinions by making judgments about information, validity of ideas, or quality of work based on a set of criteria. Creating: Compile information together in a different way by combining elements in a new pattern or proposing alternative solutions.	16	20
TOTAL	80	100

No chapter wise weightage. Care to be taken to cover all the chapters
Suitable internal variations may be made for generating various templates keeping the overall weightage to different form of questions and typology of questions same.

Choice(s):

There will be no overall choice in the question paper

However, 33% internal choices will be given in all the sections