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ISC Class 12 Math Syllabus 2024-25:
The Council for the Indian School Certificate Examinations released the ISC Class 12 Math Syllabus 2024-25 on its official website. ISC 12th Math Syllabus is divided into three sections A, B and C. Candidates must complete Section A syllabus as it is compulsory. They can choose whether to attempt questions from Section B or Section C. The theory paper will be of 80 marks and 20 marks will be granted as per the project work. Section A is of 65 marks and optional sections B & C are of 15 marks each. ISC class 12 math syllabus gives an idea of the important topics, sub-topics, marks distribution, and practical details. Students must download the ISC Class 12 Mathematics Syllabus 2025 to start their preparation.
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ISC Class 12 Syllabus 2024-25
ISC Class 12 Math Syllabus 2024-25 Pdf Download
Download the ISC Class 12 Math Syllabus 2024-25 Pdf and begin preparing if you plan to take the forthcoming Class 12 board exam. We've included a direct download link of ISC Class 12 Math Syllabus 2024-25 Download PDF for the convenience of the students.ISC 12th Math Syllabus 2024-25 Distribution of Marks
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 | |
ISC Class 12 Math Syllabus 2024-25
Students can check chapter-wise breakdown of the ISC Class 12 Mathematics Syllabus 2023–2024.
Chapters | Sections |
|---|---|
Relation and Functions | (i) Types of relations: reflexive, symmetric, transitive and equivalence relations. One to one and onto functions, inverse of a function. (ii) Inverse Trigonometric Functions Definition, domain, range, principal value branch. Elementary properties of inverse trigonometric functions. |
Alebra | Matrices -Concept, notation, order, equality, types of matrices, identity and zero matrices, matrix transposition, and symmetric and skew symmetric matrices. Working with matrices multiplication with a scalar, addition, and multiplication. simple addition, multiplication, and scalar multiplication features. Matrix multiplication is non-commutative and there are non-zero matrices that produce the zero matrix (limit this to square matrices of rank up to three). Invertible matrices with evidence of the inverse's uniqueness, if any (all matrices will have actual entries in this case). Determinants - Square matrix determinant (up to 3 x 3 matrices), minors, co-factors, and uses of determinants in calculating the area of a triangle. inverse and adjacent to a square matrix. employing the inverse of a matrix to solve a system of linear equations in two or three variables that have a unique solution. |
Calculus | (i) Continuity, Differentiability and Differentiation. (ii) Applications of Derivatives (iii). Integrals (iv). Differential Equations |
Probability | Conditional probability, multiplication theorem on probability,total probability, Bayes' theorem, random variables and their probability distributions, mean and variance, and conditional probability are some examples. |
Vectors | Scalars and vectors, as well as a vector's magnitude and direction. A vector's direction cosines and direction ratios. Vector types (equal, unit, zero, parallel, and collinear vectors), a point's position vector, a vector's negative, a vector's components, the addition of vectors, the multiplication of a vector by a scalar, and a point's position vector dividing a line segment in a specific ratio are all discussed here. Scalar (dot) product of vectors and vector (cross) product of vectors definition, properties, and applications. |
Three- dimensional geometry | A line connecting two places has direction cosines and direction ratios. Line's vector equation and Cartesian equation. 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. |
Application of Integrals | Application in finding the area bounded by simple curves and coordinate axes. Area enclosed between two curves. Application of definite integrals is necessary in order to cover the region enclosed by curves, lines, and coordinate axes. Lines, circles, parabolas, ellipses (only standard forms), basic polynomial functions, and modulus functions are examples of simple curves. |
Application of Calculus | Application of Calculus in Commerce and Economics in the following: - Cost function, - average cost, - marginal cost and its interpretation - demand function, - revenue function, - marginal revenue function and its interpretation, - Profit function and breakeven point. |
Linear Regression | - Lines of regression of x on y and y on x. - Scatter diagrams - The method of least squares. - Lines of best fit. - Regression coefficient of x on y and y on x. - bxy x byx = r2, 0≤ bxy x byx ≤ 1 - Identification of regression equations - Properties of regression lines. - Estimation of one variable's value using the other variable's value from a suitable line of regression. |
Linear Programming | Introduction, explanation of related terms like "constraints," "objective function," and "optimization," advantages and limitations of linear programming, areas in which it can be used, various types of L.P. problems, mathematical formulation of these problems, graphic method of solving problems involving two variables, feasible and infeasible regions, feasible and infeasible solutions, and the most effective feasible solution. |
ISC 12th Math Syllabus 2024-25 - Part-II Project Work
Candidates will be expected to have completed two projects, one from Section A and one from either Section B or Section C. The subject instructor and a visiting examiner selected locally and given council approval will both evaluate the project effort.Mark allocation for each Project [10 marks]: Overall format | 1 mark |
|---|---|
Content | 4 marks |
Findings | 2 marks |
Viva-voce based on the Project | 3 marks |
Total | 10 marks |
ISC Class 12 Math Syllabus 2024-25: Preparation Tips
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 2024-25.
- Make a study plan that includes time for each topic and get started early. Understand the basic formulas and concepts before moving to the advanced topics.
- To enhance problem-solving abilities, solve a range of mathematics problems through practice.
- Refer to textbooks and study materials recommended by teachers.
- To gauge your level of preparation and gain an understanding of the exam format, take practice exams and work through ISC Class 12 Math previous years' question papers .
- Seek clarification from teachers or tutors if you encounter any doubts.
- Stay organized and revise regularly to retain information.
- Throughout the exam, be composed and concentrated, using your time wisely to address every question.
ISC Class 12 Math Reference Books
For ISC Class 12 Mathematics, several reference books can greatly benefit your preparation. Here are some recommended ones:| Reference Books | Description |
|---|---|
| Understanding ISC Mathematics – Class 12 by M.L. Aggarwal | This book details the complete course and is specifically designed for ISC students. It offers several solved examples, in-depth explanations, and a ton of practice problems. |
| ISC Mathematics for Class 12 by R.D. Sharma | R.D. Sharma is a well-known name in the field of mathematics textbooks. This book offers in-depth coverage of all topics with plenty of solved and unsolved problems for practice. |
| ISC Mathematics by S. Chand | The S. Chand publication offers a range of examples and activities and a clear explanation of ideas. It's a helpful book for practicing problem-solving and comprehending difficult subjects. |
| Mathematics for Class 12 by R.S. Aggarwal | Students who are studying for board exams frequently utilize this book because of its diversity of problems and concise explanations. For in-depth practice, it contains both solved and unsolved problems. |
| ISC Mathematics Class 12 by Pundir & Sharma (K.K. Publications) | This book is aligned with the ISC syllabus and includes detailed explanations, numerous examples, and ample practice questions. |
To prepare for the ISC 2025 board exams , students should refer to the most recent ISC Class 12 Math Syllabus 2024-25, which will help them become familiar with the topics/chapters of the course structure. The Council for the Indian School Certificate Examinations (CISCE) is expected to conduct the Class 12 exams in February–March 2024.
