ISC Class 12 Mathematics Syllabus 2025–26 | CISCE Curriculum
📘 ISC Class 12 Mathematics Syllabus (2025–26)
Class: XII
Subject: Mathematics
Board: ISC (Indian School Certificate)
Governing Body: CISCE (Council for the Indian School Certificate Examinations)
🧮 Question Pattern & Marking Scheme (ISC Class 12 – Mathematics)
Theory Examination: 100 Marks
Internal Assessment: Not Applicable
Duration: 3 Hours
Paper Structure:
- Section A: Compulsory Short Answer Questions (VSA/SA)
- Questions covering the entire syllabus
- Section B: Long Answer Questions (LA)
- Answer a specified number of questions with internal choices
- Problems requiring detailed steps, proofs, and applications
Note: Calculators are permitted as per CISCE guidelines.
✨
The ISC Class 12 Mathematics syllabus 2025–26, prescribed by CISCE, builds advanced problem-solving skills, logical reasoning, and mathematical precision. The curriculum integrates algebra, calculus, vectors, probability, and linear programming, equipping students with analytical tools essential for higher education in engineering, science, economics, and data-driven disciplines. Emphasis is placed on conceptual understanding, rigorous proofs, and real-world applications.
📚 ISC Class 12 Mathematics Syllabus 2025–26 (Unit-wise)
| Unit | Chapter / Topic | Learning Outcomes |
|---|---|---|
| Unit 1 | Relations and Functions | Analyze types of relations, functions, inverse functions, and composition. |
| Unit 2 | Inverse Trigonometric Functions | Understand properties, domains, ranges, and principal values. |
| Unit 3 | Matrices | Perform matrix operations and apply matrices to solve problems. |
| Unit 4 | Determinants | Evaluate determinants and solve systems of linear equations. |
| Unit 5 | Continuity and Differentiability | Study limits, continuity, differentiability, and their applications. |
| Unit 6 | Applications of Derivatives | Apply derivatives to maxima–minima, monotonicity, and rate of change problems. |
| Unit 7 | Integrals | Compute indefinite and definite integrals using standard techniques. |
| Unit 8 | Applications of Integrals | Find areas under curves and between curves. |
| Unit 9 | Differential Equations | Formulate and solve basic differential equations and applications. |
| Unit 10 | Vectors | Understand vector algebra, scalar and vector products, and applications. |
| Unit 11 | Three-Dimensional Geometry | Analyze lines and planes in 3D space using vector methods. |
| Unit 12 | Linear Programming | Formulate and solve optimization problems graphically. |
| Unit 13 | Probability | Study conditional probability, Bayes’ theorem, and random variables. |
Note: The syllabus and order of units are as prescribed by CISCE for the academic year 2025–26.
🔍 Frequently Asked Questions (FAQs)
Q1. Is ISC Class 12 Mathematics difficult?
It is conceptually rigorous, but with consistent practice and clarity, it is highly scoring.
Q2. Are proofs and derivations important in ISC Mathematics?
Yes, derivations, logical steps, and methodical solutions are essential for full marks.
Q3. Is a calculator allowed in the ISC Mathematics exam?
Yes, calculator use is permitted according to CISCE regulations.
Q4. Does ISC Mathematics help with engineering entrance exams?
Absolutely. The syllabus strongly supports preparation for JEE and other competitive exams.
Q5. How should students prepare effectively for ISC Mathematics?
Focus on concepts, practice varied problems, revise formulas, and solve past papers.
🎯
The ISC Class 12 Mathematics syllabus 2025–26, framed by CISCE, offers a comprehensive and application-oriented approach to advanced mathematics. With its balanced coverage of calculus, algebra, vectors, and probability, the syllabus prepares students for board examinations, competitive tests, and higher studies requiring strong quantitative and analytical skills.
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