Table of Contents
The Central Board of Secondary Education has issued the Class 12 Maths Syllabus 2023-24 for class 12th students in the 2023-2024 academic session. The Class 12 Maths Syllabus 2024 gives students a complete overview of the Advanced Mathematical Ideas. The Maths Class 12 Syllabus 2023-24 does not feature a chapter-by-chapter allocation of marks. Instead, the weightage is assigned based on the competencies that the questions would evaluate. Students can also review the Class 12 Maths Deleted Syllabus 2023-24 exercise wise from this article.
Class 12 Maths Syllabus 2023-24
The Class 12 Maths Syllabus 2023-24 is a comprehensive and demanding curriculum that covers a wide range of mathematical topics. The Mathematics Syllabus is intended to offer students a solid foundation in basic mathematical ideas as well as an awareness of the most recent breakthroughs in the discipline. The Maths Class 12 Syllabus 2023-24 also contains a component of practical work, which allows students to apply their mathematical skills to real-world problems.
Maths Class 12 Syllabus 2023-24: Mark Distribution
The Maths class 12 syllabus 2023-24 is demanding and difficult, but it is also rewarding. Students will gain the skills and knowledge they need to succeed in their academics and beyond by completing this syllabus. The Maths official syllabus contains the topics and chapters from which the Class 12 Maths question paper will be created.
The table below consists of marks breakup Maths class 12 syllabus 2023-24.
| Subject | Maths |
|---|---|
| Subject Code | 041 |
| Marks Breakup | Total = 100 |
| Theory 80 | |
| Project 20 |
Class 12 Maths Syllabus 2023-24: Course structure
The Class 12 Maths syllabus is extensive and rigorous. It covers a wide range of topics and requires students to have a solid mathematical background. However, the course is also rewarding, and by learning the content, students will get a profound understanding of mathematics as well as the abilities necessary to excel in college and beyond. The table below consists of the course structure of the CBSE Class 12 Maths syllabus 2023-24.
| 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 |
Class 12 Maths Syllabus 2023-24: Unit wise
Check here the class 12 Maths syllabus 2023-24 Unit-wise in detail in the following sub-sections for the upcoming CBSE board exam 2024.
Class 12 Maths Syllabus 2023-24 Unit 1: Relations and Functions
a. Relations and Functions
Types of relations: reflexive, symmetric, transitive and equivalence relations. One to one and onto functions.
b. Inverse Trigonometric Functions
Definition, range, domain, principal value branch. Graphs of inverse trigonometric functions.
Class 12 Maths Syllabus 2023-24 Unit 2: Algebra
a.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).
b. 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.
Class 12 Maths Syllabus 2023-24 Unit 3: Calculus
a. Continuity and Differentiability
Continuity and differentiability, chain rule, derivative of inverse trigonometric functions, ???? sin−1 ? , cos−1 ? and tan−1 ?, 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.
b. 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).
c. Applications of the Integrals
Applications in finding the area under simple curves, especially lines, circles/ parabolas/ellipses (in standard form only)
d. 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.
Class 12 Maths Syllabus 2023-24 Unit 4: Vectors and Three-Dimensional Geometry
a. 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.
b. 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.
Class 12 Maths Syllabus 2023-24 Unit 5: Linear Programming
a. 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).
Class 12 Maths Syllabus 2023-24 Unit 6: Probability
a. Probability 30 Periods
Conditional probability, multiplication theorem on probability, independent events, total probability, Bayes’ theorem, Random variable, and its probability distribution, mean of the random variable.
Class 12 Maths Syllabus 2023-24 PDF
The syllabus is intended to assist students in developing a thorough understanding of mathematics. It ranges from the fundamental concepts of relations and functions to the more advanced principles of calculus and probability. The curriculum also contains a substantial practical component that allows students to apply their theoretical knowledge to real-world challenges.
Download pdf here: CBSE Class 12 Maths Syllabus 2023-24
Class 12 Maths Deleted Syllabus 2023-24
Class 12 maths deleted syllabus 2023-24 is given below. Check all CBSE Class 12 maths deleted syllabus 2023-24
Maths Deleted Syllabus Class 12 CBSE 2023-24
Maths Deleted Syllabus Class 12 CBSE 2023-24 Chapter wise and Topics wise is given below table.
| UNIT NAME | CHAPTER NAME | DELETED TOPIC |
| Relations and Functions | Relations and Functions | composite functions, inverse of a function |
| Relations and Functions | Inverse Trigonometric Functions | Elementary properties of inverse trigonometric functions |
| Algebra | Matrices | Concept of elementary row and column
operations. |
| Algebra | Determinants | properties of determinants |
| Calculus | Continuity and Differentiability | derivative of composite function
Rolle’s and Lagrange’s Mean Value Theorems (without proof) and their geometric interpretation |
| Calculus | Applications of Derivatives | tangents and normals
use of derivatives in approximation |
| Calculus | Integrals | Definite integrals as a limit of a sum, |
| Calculus | Applications of the Integrals | Area between any of the two above said curves |
| Vectors and Three-Dimensional Geometry | Vectors | scalar triple product of vectors |
| Vectors and Three-Dimensional Geometry | Three – dimensional Geometry | coplanar lines
Cartesian and vector equation of a plane. Angle between (i) two lines, (ii) two planes, (iii) a line and a plane.Distance of a point from a plane |
| Linear Programming | Linear Programming | different types
of linear programming (L.P.) problems mathematical formulation of L.P. problems |
| Probability | Probability | variance of random
variable |
Maths Deleted Syllabus Class 12 Exercise wise
You can also check the number of pages and the number of questions which have been deleted below. Check maths deleted syllabus class 12 exercise wise here.
| Chapter | Page No. | 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 |
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