Table of Contents
The ISC class 12 Maths syllabus 2024-25 covers relations and functions, algebra, calculus, probability, vectors, three-dimensional geometry, applications of integrals, and more. It is divided into three sections: section A is compulsory for all students, and candidates can choose between sections B and C.
Furthermore, the board will conduct the ISC 12 exams for Maths in February 2024 tentatively in pen and paper mode. The total weightage of the theory paper is 80, whereas the practical assessment contains 20 marks.
The board released the Maths syllabus class 12 ISC on the official website. Students can download it in PDF format and must follow this updated Maths syllabus to get well-versed with the topics and chapters included in the course structure.
Students can refer to the link below to download the ISC 12 Maths syllabus 2024-25 for the upcoming board exams.
ISC Class 12 Maths Syllabus 2024 | Download Now |
Read more: ISC Reduced Syllabus 2024-25
Students must familiarize themselves with the updated Maths ISC syllabus class 12 2024-25 to ensure success in the upcoming ISC examination. The revised syllabus enhances the logical and analytical abilities of the students. The syllabus is divided into two sections, and students can refer to the table below to understand the syllabus thoroughly.
Section A of the ISC 12 Maths syllabus 2024 is compulsory, consisting of 65 marks in the upcoming board exams. Students can refer to the details mentioned below to understand the ISC 12th Maths syllabus for section A.
Chapters | Sub-Topics |
Chapter 1 - Relations and Functions |
|
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. |
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. | |
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. |
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. | |
Differential Equations: Definition, order, and degree, General and particular solutions of a differential equation, Solution of differential equations by separation of variables, 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 |
Students can choose the ISC class 12 Maths syllabus for Section B, which contains 15 marks. Refer to the table below to understand the class 12 ISC Maths syllabus 2024.
Chapters | Topics |
Chapter 5 - 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 |
Chapter 6 - 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 |
Chapter 7 - Application of Integrals | Application of definite integrals, Simple curves |
Section C of the ISC class 12 Maths syllabus 2024 consists of 15 marks, including 3 chapters. Refer to the table below for the detailed Maths syllabus for class 12 ISC for section C.
Chapters | Topics |
---|---|
Chapter 8 - 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 | 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 | Introduction, Related terminology such as constraints, objective function, optimization, Different types of linear programming (L.P.) problems, Mathematical formulation of L.P. problems. |
Also read: How to Calculate the Percentage of Class 12th ISC?
The class 12 ISC Maths syllabus is divided into three sections. The unit-wise marks distributions for the ISC class 12 Maths syllabus are below for the student's reference.
Read more: ISC 12th Books
Students have to submit two projects, which will be conducted for 10 marks each. One project assessment must be from Section A and one from either Section B or Section C. Moreover, the subject teacher and a visiting examiner will assess or evaluate the project work. Marks alloted for each project are given below for the student's reference.
Particulars | Overall Marks |
Overall Format | 1 Mark |
Content | 4 Marks |
Findings | 2 Marks |
Viva-voce based on the Project | 3 Marks |
Total | 10 marks |
Refer to the image mentioned below to get the assessment topics for the ISC class 12 Maths.
Read more: ISC 12th Preparation Tips 2024
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