CBSE Class 12 Mathematics Syllabus 2023-24 - CBSE 12th Class Mathematics Syllabus Download PDF

CBSE Class 12 Mathematics Syllabus 2023-24: The Central Board of Secondary Education issued the CBSE Mathematics syllabus 2023-24 for class 12th students. The theory portion of CBSE class 12 Mathematics will be held for 80 marks and the remaining 20 marks will be allotted for the internal assessments. CBSE Class 12 Syllabus 2024 for Mathematics comprises a total of 6 units, which is further divided into 13 chapters. As per the CBSE 12th Maths syllabus 2024, unit 3 (Calculus) will carry the maximum weightage of 35 marks. Following this, the next major weightage-carrying units are Vectors and Algebra each carrying a weightage of 14 and 10 respectively. Also check:CBSE 12th Exam Pattern 2024

CBSE 12th class Mathematics syllabus 2024 is not divided as per chapter-wise marks, rather the weightage is decided based on the competencies. In the CBSE class 12 Mathematics paper, no overall choice in the question paper will be given. However, there will be 33% of internal choices in all the sections. Moreover, the CBSE board will retain the CBSE class 12 Math deleted syllabus for this academic session as well. Students appearing for the upcoming CBSE 12th Board 2024 exams can download the CBSE Class 12 Maths Syllabus 2023-24 PDF from the official website of the CBSE board - cbseacademic.nic.in. They can also download the Maths syllabus from this page. Read the entire article to know more about the CBSE 12th Mathematics syllabus 2024.

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CBSE Class 12 Mathematics Syllabus 2023-24 PDF Download

Download CBSE Class 12 Mathematics Syllabus 2023-24 PDF

CBSE Class 12 Mathematics Syllabus 2023-24 Course Structure

The CBSE class 12 Maths examination will be conducted for 3 hours, from 10:30 AM to 1:30 PM. The Maths question paper will be divided into five sections, Section A, Section B, Section C, Section D, and Section E. Refer to the table below to have an idea of the course structure of the CBSE 12th Maths syllabus 2024:

No.	Units	Periods	Marks
I	Relations and Functions	30	08
II	Algebra	50	10
III	Calculus	80	35
IV	Vectors and Three-Dimensional Geometry	30	14
V	Linear Programming	20	05
VI	Probability	30	08
Total	240	80
Internal Assessment	20

CBSE Class 12 Mathematics Syllabus 2023-24: Chapter-wise 

The chapters and topics that are included in each unit of the CBSE class 12 Maths Syllabus 2024 are given below:

Unit I: Relations and Functions 

This unit comprises the following chapters and topics:

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. Operations on matrices: Addition and multiplication and multiplication with a scalar. Simple properties of addition, multiplication, and scalar multiplication. Noncommutativity of multiplication of matrices and existence of non-zero matrices whose product is the zero matrix (restricted 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 solution) using the inverse of a matrix.

Unit-III: Calculus 

1. Continuity and Differentiability [20 Periods]

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, a derivative of functions expressed in parametric forms. Second-order derivatives. 

2. Applications of Derivatives [10 Periods]

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). 

3. Integrals [20 Periods]

Integration as the 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. 

Fundamental Theorem of Calculus (without proof). Basic properties of definite integrals and evaluation of definite integrals.

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 method of separation of variables, solutions of homogeneous differential equations of first order and first degree. Solutions of linear differential equation of the type:

dy dx + py = q, where p and q are functions of x or constants. dx dy + px = q, where p and q are functions of y or constants.

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, 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.

2. Three-dimensional Geometry [15 Periods]

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 [20 Periods]

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 Syllabus 2023-24: Question Paper Pattern

The questions in the CBSE class 12 Mathematics exam are set from the NCERT. The questions do not come from outside the syllabus except for some of the questions. The question paper pattern of the CBSE class 12 Mathematics theory exam will be as follows:

S. No.	Types of Questions	Total Marks	Percentage Weightage
1	Remembering and Understanding	44	55
2	Applying	20	25
3	Analyzing, Evaluating, and Creating	16	20
Total	80	100

CBSE Class 12 Mathematics Deleted Syllabus 2023-24

The topics that were excluded from the CBSE class 12 Mathematics syllabus in 2022, will be deleted in the academic session 2023-24 as well. Go through the deleted portion of the CBSE class 12 Maths syllabus 2024:

Chapter Name	Deleted Topics
Relations and Functions	Composite functions, inverse of a function
Inverse Trigonometric Functions	Elementary properties of inverse trigonometric functions
Matrices	Concept of elementary row and column operations
Determinants	Properties of determinants
Continuity and Differentiability	Derivative of composite function, Rolle’s and Lagrange’s Mean Value, theorems (without proof) and their geometric interpretation
Applications of Derivatives	Tangents and Normals, use of derivatives in approximation
Integrals	Definite integrals as a limit of a sum
Applications of Integrals	Area between any one of the two curves
Vectors	Scalar triple product of vectors
Three Dimensional Geometry	Coplanar lines, cartesian and vector equation of a plane, angle between two lines, two planes, a line and a plane, distance of a point from a plane
Linear Programming	Different types of linear programming problems, mathematical formulation of L.P. problems, variance of random variable

CBSE Class 12 Mathematics Syllabus 2023-24: Deleted Topics List

Check out the number of pages as well as the number of questions which have been excluded from the syllabus provided below:

Chapter	Page Number	Dropped Topics/Chapters
Chapter 7: Integrals	290–291 291–292 298–299 613–616 331–334 352–354 355	Points (xi)–(xiii) in the List of Derivatives  7.2.1 Geometrical Interpretation of Indefinite Integral  7.2.3 Comparison between Differentiation and Integration  7.6.3 Type of Integral  7.7.1 Definite Integral as the Limit of a Sum  Ques. 19, 32, 40 and 44 Point 2 in the Summary (xiv) and (xv) in Some Standard Integrals
Chapter 8: Application of Integrals	363–365 366  366–372  373–376  377	8.2.1 The Area of the Region Bounded by a Curve and a Line  Ques. 3 and 6–11 in Exercise 8.1  8.3 Area between Two Curves  Examples 11, 13 and 14 Ques. 2–3, 6–7, 8–15, 18– 19 (Miscellaneous Exercise)  Last Two Points of the Summary
Chapter 9: Differential Equations	385–391 415–416 420–422	9.4 Formation of Differential Equations whose General Solution is Given  Example 25  Ques. 3, 5 and 15 (Miscellaneous Exercise), Point Six of the Summary
Chapter 10: Vector Algebra	616–619 619–622	10.7 Scalar Triple Product 10.7.1 Coplanarity of Three Vectors
Chapter 11: Three-Dimensional Geometry	465  469–471  477–478  479–497  497–499  500–501  502–503	11.2.1 Relation between the Direction Cosines of a Line  11.3.2 Equation of a Line Passing through Two Given Points, Ques. 8–9 (Exercise 11.2)  11.6 Plane  11.7 Coplanarity of Two Lines  11.8 Angle between Two Planes  11.9 Distance of a Point from a Line  11.10 Angle between a Line and a Plane  Ques. 1, 2, 5, 7–8, 10–19, 21–23 (Miscellaneous Exercise)  Summary Points 13, 20–24 Full Pages
Chapter 12: Linear Programming	514–527 528–529	12.3 Different Types of Linear Programming Problems \ Summary Points 2–9
Chapter 13: Probability	557–558  558–559  559–564 565–571  572–578 579–581 583 585–586	13.6 Random Variables and Its Probability Distributions  Example 22 and 23  13.6.1 Probability Distribution of a Random Variable  13.6.2 Mean of Random Variables 13.6.3 Variance of a Random Variable  13.7 Bernoulli Trials and Binomial Distribution Example 34 and 35  Ques. 5–7, 9–11 (Miscellaneous Exercise) Last 3 Points of the Summary
Answers	594,596–599, 601, 604–612	Answers of Exercises

CBSE Class 12 Mathematics Syllabus 2023-24: Prescribed Books

Students of class 12 must refer to other reference books apart from the CBSE class 12 NCERT book for Maths. The list of prescribed books for the CBSE 12th Mathematics exam is provided below:

Reference Book	Author Name
Senior Secondary School Math 12	R.S. Aggarwal
I.I.T. Mathematics	M.L. Khanna
Problems Plus in IIT Mathematics	A Das Gupta
CBSE Chapter-Wise Solutions – Mathematics	Hemant Malhotra
Solutions of Objective Mathematics with Chapter Tests	Dhanpat Rai
CBSE Examination Mathematics: 15 Sample Question Papers	Prem Kumar

CBSE Class 12 Mathematics Previous Year Question Papers

The CBSE Class 12 Mathematics Previous year question paper is available in PDF format below. Click on the links to download the question paper:

CBSE Class 12 Mathematics 2020 Question Papers
Set 1	Set 2	Set 3
Mathematics 1 (Code No.- 65/1/1)	Mathematics 1 (Code No.-65/1/2)	Mathematics 1 (Code No.-65/1/3)
Mathematics 2 (Code No.- 65/2/1)	Mathematics 2 (Code No.-65/2/2)	Mathematics 2 (Code No.- 65/2/3)
Mathematics 3 (Code No.- 65/3/1)	Mathematics 3 (Code No.- 65/3/2)	Mathematics 3 (Code No.- 65/3/3)

CBSE Class 12 Mathematics Question Paper 2019 

The CBSE Class 12 Mathematics Question Paper 2019 is available in PDF format below. You can download the question paper by clicking on the link.

CBSE Class 12 Mathematics 2020 Question Papers
Set 1	Set 2	Set 3
Mathematics 1 (Code No.- 65/1/1)	Mathematics 1 (Code No.-65/1/2)	Mathematics 1 (Code No.-65/1/3)
Mathematics 2 (Code No.- 65/2/1)	Mathematics 2 (Code No.-65/2/2)	Mathematics 2 (Code No.- 65/2/3)
Mathematic 3 (Code No.- 65/3/1)	Mathematics 3 (Code No.- 65/3/2)	Mathematics 3 (Code No.- 65/3/3)

CBSE Class 12 Mathematics Question Paper 2018 

The CBSE Class 12 Mathematics Question Paper 2018 is available in PDF format below. You can download the question paper by clicking on the link.

CBSE Class 12 Mathematics 2018 Question Papers
Set 1	Set 2	Set 3
Mathematics 2018(Code No.- 65/1)	Mathematics 2018(Code No.-65/2)	Mathematics 2018 (Code No.-65/3)

The Council will release the detailed CBSE 12th Date Sheet 2024 in the last week of December 2023 tentatively. Students are advised to complete the CBSE Class 12 syllabus 2023-24 at least 2 months before the exam begins and dedicate the time to solving the  CBSE Previous Year Question Papers Class 12.