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Mathematics ISC (Commerce) Class 12 CISCE Syllabus 2026-27

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CISCE Class 12 Mathematics Syllabus - Free PDF Download

CISCE Syllabus 2026-27 Class 12: The CISCE Class 12 Mathematics Syllabus for the examination year 2026-27 has been released by the Council for the Indian School Certificate Examinations, CISCE. The board will hold the final examination at the end of the year following the annual assessment scheme, which has led to the release of the syllabus. The 2026-27 CISCE Class 12 Mathematics Board Exam will entirely be based on the most recent syllabus. Therefore, students must thoroughly understand the new CISCE syllabus to prepare for their annual exam properly.

The detailed CISCE Class 12 Mathematics Syllabus for 2026-27 is below.

Academic year:
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Syllabus

1: Section A [Revision]

CISCE Class 12 Mathematics Syllabus
1 Relations and Functions [Revision]
  • Fundamental Concepts of Ordered Pairs and Relations  
    • Definition of Relation
    • Domain
    • Co-domain and Range of a Relation
  • Types of Relations  
    • Empty Relation
    • Universal Relation
    • Trivial Relations
    • Identity relation
    • Symmetric relation
    • Transitive relation
    • Equivalence Relation
    • Antisymmetric relation
    • Inverse relation
    • One-One Relation (Injective)
    • Many-one relation
    • Into relation
    • Onto relation (Surjective)
  • Equivalence Class and Relation  
  • Congruence Modulo  
    • Define congruence modulo
  • Functions  
    • Ways of Representing Functions
    1. Tabular Representation of a Function
    2. Graphical Representation of a Function
    3. Analytical Representation of a Function
    • Some Elementary Functions
    • Types of Functions
    • Operations on Functions
    • Inverse of a Function
    • Algebra of Functions
    • Some Special Functions
  • Real-Valued and Real Functions  
  • Types of Functions  
    • Types of Function based on Elements:
      1) One One Function (or injective)
      2) Many One Function
      3) Onto Function (or surjective)
      4) One One and Onto Function (or bijective)
      5) Into Function
      6) Constant Function
    • Types of Function based on Equation:
      1) Identity Function
      2) Linear Function
      3) Quadratic Function
      4) Cubic Function
      5) Polynomial Functions
    • Types of Function based on the Range:
      1) Modulus Function
      2) Rational Function
      3) Signum Function
      4) Even and Odd Functions
      5) Periodic Functions
      6) Greatest Integer Function
      7) Inverse Function
      8) Composite Functions
    • Types of Function based on the Domain:
      1) Algebraic Functions
      2) Trigonometric Functions
      3) Logarithmic Functions
    • Explicit and Implicit Functions
    • Value of a Function
    • Equal Functions
  • Composition of Functions  
    • Composition of three functions
  • Invertible Functions  
  • Binary Operations  
  • Overview of Relations and Functions  
2 Inverse Trigonometric Functions [Revision]
3 Matrices [Revision]
4 Determinants [Revision]
5 Continuity and Differentiability [Revision]
6 Indeterminate Forms [Revision]
7 Applications of Derivatives [Revision]
8 Integrals [Revision]
9 Differential Equations [Revision]
10 Probability [Revision]

2: Section B [Revision]

CISCE Class 12 Mathematics Syllabus
11 Vectors [Revision]
12 Three Dimensional Geometry [Revision]
13 Applications of Integrals [Revision]

3: Section C [Revision]

CISCE Class 12 Mathematics Syllabus
14 Application of Calculus in Commerce and Economics [Revision]
15 Linear Regression [Revision]
16 Linear Programming [Revision]
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