ISC Class 12 Maths Syllabus 2023-24 (Out), Chapter-Wise Topics, Marks Weightage

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ISC Class 12 Maths Syllabus 2023-24 is divided into three sections: Section A, Section B, and Section C. Section A is compulsory for all students, while candidates can choose any one between Section B and Section C. The total weightage for the theory paper is 80 marks. The syllabus also includes a project work carrying 20 marks.

ISC Class 12 Maths Syllabus for the academic year 2023-24 covers various mathematical topics, including relations and functions, algebra, calculus, probability, vectors, three-dimensional geometry, applications of integrals, application of calculus, linear regression, and linear programming. The detailed chapter-wise topics are provided in the article below.

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ISC Class 12 Maths Syllabus 2023-24 PDF Download

Students can download ISC Class 12 Maths Syllabus 2023-24 from the link provided below:

ISC Class 12 Maths Syllabus 2023-24 PDF

Table of Contents

ISC Class 12 Maths Syllabus 2023-24: Marks Weightage
ISC Class 12 Maths Syllabus 2023-24
ISC Class 12 Maths Syllabus 2023-24: Preparation Tips
Frequently Asked Questions

ISC Class 12 Maths Marks Weightage

ISC Class 12 Maths Syllabus 2023-24: Marks Weightage

The theory paper for Mathematics is divided into three sections: A, B, and C. The topics for each section and marks weightage are provided in the table below:

S.No.	Unit	Total Weightage
Section A - 65 Marks
1.	Relations and Functions	10 Marks
2.	Algebra	10 Marks
3.	Calculus	32 Marks
4.	Probability	13 Marks
Section B - 15 Marks
5.	Vectors	5 Marks
6.	Three - Dimensional Geometry	6 Marks
7.	Applications of Integrals	4 Marks
OR Section C: 15 Marks
8.	Application of Calculus	5 Marks
9.	Linear Regression	6 Marks
10.	Linear Programming	4 Marks
Total		80 Marks

Note: Candidates can choose either Section B or Section C based on their preference and strengths.

Check Subject-Wise ISC Class 12 Syllabus 2023-24

ISC Class 12 Maths Syllabus

ISC Class 12 Maths Syllabus 2023-24

Students can check the detailed chapter-wise topics for ISC Class 12 Maths Syllabus 2023-24 from the table below:

Topic	Sub-Topics
Section A (65 Marks)
Chapter 1 - Relations and Functions
Types of Relations	Relations as: Relation on a set A - Identity relation, universal relation, empty relation. Types of Relations: symmetric, reflexive, equivalence and transitive relation. Functions: As special relations, concept of writing “y is a function of x” as y = f(x). Types: one to one, many to one, into, onto. Real-Valued function. Domain and range of a function. Conditions of invertibility. Invertible functions (algebraic functions only)
Inverse Trigonometric Functions	Definition Domain Range Principal value branch Elementary properties of inverse trigonometric functions Applications of formulas
Chapter 2 - Algebra
Matrices	Concept, Notation, Order Equality Types of matrices Zero and identity matrix Transpose of a matrix Symmetric and skew symmetric matrices Operation on matrices Simple properties of addition, multiplication and scalar multiplication Non-commutativity of multiplication of matrices Existence of non-zero matrices having product as the zero matrix (restrict to square matrices of order up to 3) Invertible matrices and uniqueness of inverse proof (if exists)
Determinants	Determinant of a square matrix (up to 3 x 3 matrices) Properties of determinants Minors, and co-factors Applications of determinants in finding area of a triangle Adjoint and inverse of a square matrix Consistency, inconsistency and number of solutions of linear equations Solving system of linear equations in two or three variables using the inverse of a matrix
Chapter 3 - Calculus
Continuity, Differentiability and Differentiation	Continuity and differentiability Derivative of composite functions Chain rule Derivatives of inverse trigonometric functions Derivative of implicit functions Concept of exponential and logarithmic functions Derivatives of logarithmic and exponential functions Logarithmic differentiation Derivative of functions (in parametric forms) Second-order derivatives
Applications of Derivatives	Applications of derivatives: tangents and normals, rate of change of bodies, increasing/decreasing functions, maxima and minima
Integrals	Integration as the inverse process of differentiation Integration by substitution, partial fractions, and by parts Evaluation of simple integrals Fundamental Theorem of Calculus (without proof) Basic properties of definite integrals Evaluation of definite integrals
Differential Equations	Definition, order, and degree General and particular solutions of a differential equation Solution of differential equations by separation of variables Solutions of homogeneous differential equations of the first order and first degree Solutions of linear differential equations of the type: dy/dx + py = q, dy/dx + px = q
Chapter 4 - Probability
Probability	Conditional probability Multiplication theorem on probability Independent events Total probability Bayes’ theorem Random variable and its probability distribution Mean of random variable
Section B (15 Marks)
Chapter 5 - Vectors
Vectors	Vectors and scalars Magnitude and direction of a vector Direction cosines and direction ratios of a vector Types of vectors (equal, zero, unit, 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
Chapter 6 - Three-Dimensional Geometry
Three-Dimensional Geometry	Direction cosines and direction ratios of a line joining two points Cartesian equation Vector equation of a line Coplanar and skew lines Shortest distance between two lines Cartesian and vector equation of a plane Angle between two lines, two planes, and a line and a plane Distance of a point from a plane
Section C
Chapter 7 - Application of Integrals
Application of Integrals	Application in finding area bounded by simple curves and coordinate axes Area enclosed between two curves
Chapter 8 - Application of Calculus
Application of Calculus	Application of Calculus in Commerce and Economics Marginal cost and its interpretation Demand function Revenue function Marginal revenue function and its interpretation Profit function, and breakeven point Rough sketching of curves including AR, MR, R, C, AC, MC, and their mathematical interpretation
Chapter 9 - Linear Regression
Linear Regression	Lines of regression of x on y and y on x Scatter diagrams Method of least squares Lines of best fit Regression coefficient of x on y and y on x
Chapter 10 - Linear Programming
Linear Programming	Introduction Related terminology such as constraints, objective function, optimization Different types of linear programming (L.P.) problems Mathematical formulation of L.P. problems Graphical method of solution for problems in two variables Feasible and infeasible regions (bounded and unbounded) Feasible and infeasible solutions Optimal feasible solutions (up to three non-trivial constraints)

Also Check:

ISC Class 12 Question Paper 2023	ISC Class 12 Question Paper 2022

ISC Class 12 Maths Preparation

ISC Class 12 Maths Syllabus 2023-24: Preparation Tips

Follow the below tips to prepare ISC Class 12 Maths Syllabus 2023-24:

Start early and create a study schedule to cover all topics.
Understand the basic formulas and concepts before moving to the advanced topics.
Practice solving a variety of mathematical problems to improve problem-solving skills.
Refer to textbooks and study materials recommended by teachers.
Take mock tests and solve previous years' question papers to understand the exam pattern and assess your level of preparation.
Seek clarification from teachers or tutors if you encounter any doubts.
Stay organized and revise regularly to retain information.
Stay calm and focused during the exam, managing time effectively to answer all questions.

By following these preparation tips and adhering to the syllabus, candidates can enhance their chances of performing well in ISC Class 12 Maths exam for the academic year 2023-24.

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Frequently Asked Questions

Ques. What are the key topics covered in ISC Class 12 Maths Syllabus 2023-24?

Ans. The key topics include relations and functions, algebra, calculus, probability, vectors, three-dimensional geometry, applications of integrals, application of calculus, linear regression, and linear programming.

Ques. Is Section A of ISC Class 12 Maths Syllabus 2023-24 compulsory?

Ans. Yes, Section A of ISC Class 12 Maths Syllabus 2023-24 is compulsory. However, students can choose any one out of Section B and C.

Ques. How much weightage does each section carry in the theory paper?

Ans. Section A carries a total weightage of 65 marks, while candidates can choose either Section B or Section C, each of which carries 15 marks.

Ques. What are the total marks for ISC Class 12 Maths theory exam 2024?

Ans. The total weightage for the theory paper of ISC Class 12 Maths is 80 marks. The remaining 20 marks are assigned to the project work.

Ques. How should candidates prepare for ISC Class 12 Maths Exam 2024?

Ans. Candidates should thoroughly study the prescribed syllabus, practice solving mathematical problems, and refer to sample papers to understand the exam pattern. Additionally, seeking guidance from teachers or tutors can be beneficial.

*The article might have information for the previous academic years, which will be updated soon subject to the notification issued by the University/College.

ISC Class 12 Maths Syllabus 2023-24 (Out), Chapter-Wise Topics, Marks Weightage

ISC Class 12 Maths Syllabus 2023-24 PDF Download

ISC Class 12 Maths Syllabus 2023-24: Marks Weightage

ISC Class 12 Maths Syllabus 2023-24

ISC Class 12 Maths Syllabus 2023-24: Preparation Tips

Frequently Asked Questions

ISC Syllabus

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