CBSE Class 12 Mathematics Syllabus 2023-24

CBSE Class 12 Mathematics Syllabus are released by Central Board of Secondary Education (CBSE). For a better preparation, students must thoroughly go through the latest syllabus and marking scheme. Otherwise, students may be confused, from which part or chapter they should start first. A PDF of the Class 12 Mathematics Syllabus is given below. So, directly download it and utilize for better study strategy. Students must always know, which chapters are more important and which chapter contain maximum marks. So, they will have the better idea to prepare for a better study plan.

Class 12 Board are a crucial step for all the students as it decide the future and the selection of colleges or universities also depends on Class 12 Board exam. So, it should taking very seriously and need a properly study plan strategy. That’s why always focus on the latest syllabus and marking scheme for a better plan. You can also download the latest CBSE class 12 Mathematics syllabus from the CBSE official website – cbse.gov.inA direct link to download CBSE Class 12 Mathematics Syllabus PDF is also provided below for the students.

CBSE Class 12 Mathematics Course Structure 2023-24

Class 12 Mathematics has many parts so its important to know the subject-wise weightage for better preparation. Here’s the course structure with mark weightage for your better preparation.

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 Class 12 Mathematics Syllabus 2023-24

Here’s a detailed structure of CBSE Class 12 Mathematics syllabus 2023-24:

Unit-I: Relations and Functions

1. Relations and Functions

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

1. Inverse Trigonometric Functions

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

Unit-II: Algebra

1. 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).

1. 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

1. 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.

1. 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).

1. Applications of the Integrals

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

1. 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:

Unit-IV: Vectors and Three-Dimensional Geometry

1. 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.

1. 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

1. 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

1. 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 Mathematics Question Paper Design 2023-24

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

1. No chapter wise weightage. Care to be taken to cover all the chapters

1. 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 paperHowever, 33% internal choices will be given in all the sections

CBSE Class 12 Mathematics Internal Assessment

Here’s a detailed information about CBSE class 12 Mathematics internal assessment:

Internal Assessment	Total – 20 Marks
Periodic Tests ( Best 2 out of 3 tests conducted)	10 Marks
Mathematics Activities	10 Marks
Lab Practical (Lab activities to be done from the prescribed books)	05 Marks

CBSE Class 12 Mathematics Syllabus 2023-24 PDF Download

A complete CBSE Class 12 Mathematics syllabus, course structure, course content, project details, mark distribution and many more is given below in PDF format for free download.

CBSE Class 12 Mathematics Syllabus 2023-24 Download

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