Unit-wise Structure of ISC Class 12 Mathematics Syllabus 2025-26
This section provides a comprehensive breakdown of all units included in the syllabus, allowing students to understand the weightage and key topics they need to prepare for the academic session.
Unit 1: Relations and Functions (10 Marks)
- Types of relations: reflexive, symmetric, transitive, equivalence.
- Types of functions: one-to-one, onto, invertible functions.
- Domain, range, real-valued functions.
- Inverse trigonometric functions with principal values.
Also Check: ISC Class 12 English Syllabus 2025-26
Unit 2: Algebra (10 Marks)
- Matrices: concepts, operations, invertibility.
- Determinants: properties, minors, co-factors, applications in solving linear equations.
Unit 3: Calculus (32 Marks)
- Continuity and differentiability of functions.
- Applications of derivatives: rate of change, maxima and minima, tangents and normals.
- Integration: methods, definite and indefinite integrals, properties.
- Differential equations: order, degree, and methods of solutions.
Unit 4: Probability (13 Marks)
- Conditional probability, Bayes’ theorem.
- Total probability theorem.
- Probability distribution, random variable, mean.
Also Check: ISC Class 12 Economics Syllabus 2025-26
Section B (Optional): Application-Based Concepts
This section includes topics that apply mathematical tools to three-dimensional geometry and vector analysis, offering practical applications relevant for students pursuing engineering, physics, and applied sciences.
Unit 5: Vectors (5 Marks)
- Vector operations, dot and cross products.
- Applications in geometry.
Unit 6: Three-Dimensional Geometry (6 Marks)
- Direction cosines and ratios, equations of lines and planes.
- Angle between lines and planes.
- Shortest distance and distance from a point.
Unit 7: Applications of Integrals (4 Marks)
Also Check: ISC Class 12 Business Studies Syllabus 2025-26
Section C (Optional): Applied Mathematics for Commerce & Statistics
This section is tailored for students who are inclined towards commerce, economics, or statistical applications. It integrates mathematical tools into real-world business and analytical scenarios.
Unit 8: Applications of Calculus (5 Marks)
- Cost and revenue functions.
- Marginal cost and revenue.
- Profit function analysis using maxima-minima concepts.
Unit 9: Linear Regression (6 Marks)
- Regression lines, least square method, scatter plots.
- Coefficients and estimation.
Unit 10: Linear Programming (4 Marks)
- Formulation of problems.
- Graphical method of solutions.
- Feasible regions, optimization.
Also Check: ISC Class 12 Accountancy Syllabus 2025-26
ISC Class 12 Mathematics Syllabus 2025-26 Project Work (20 Marks)
Students are expected to complete two projects one from Section A and another from either Section B or C. These projects are evaluated on the basis of content, presentation, and viva-voce.
Project Assessment Criteria:
- Format and Structure: 1 mark
- Content Relevance: 4 marks
- Findings and Application: 2 marks
- Viva-voce: 3 marks
Suggested project topics include:
- Graph-based demonstrations of functions
- Derivatives and consistency of systems of equations
- Vector-based area calculations
- Applications of definite integrals
- Business models using calculus and regression analysis
Why Focus on ISC Class 12 Mathematics Syllabus 2025-26?
The ISC Class 12 Mathematics Syllabus 2025-26 provides a rigorous platform for students to gain mastery in core mathematical domains. It promotes both conceptual clarity and problem-solving approaches across algebra, calculus, geometry, and statistics. Whether you’re pursuing science, commerce, or economics, this syllabus covers essential themes to support a broad spectrum of career paths.
Students are encouraged to stay updated with syllabus guidelines, solve ample practice papers, and explore visual aids to simplify complex topics. Dedicated effort aligned with the ISC Class 12 Mathematics Syllabus 2025-26 ensures a confident academic journey ahead.
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