CISCE ISC Class 12 Mathematics Syllabus - Free PDF Download
CISCE Syllabus 2026-27 ISC Class 12: The CISCE ISC 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 ISC 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 ISC Class 12 Mathematics Syllabus for 2026-27 is below.
Academic year:
CISCE ISC Class 12 Mathematics Revised Syllabus
CISCE ISC Class 12 Mathematics Course Structure 2026-27 With Marking Scheme
| # | Unit/Topic | Marks | Marks with options |
|---|---|---|---|
| 1 | Relations and Functions | 10 | |
| 1 | Relations and Functions | ||
| 2 | Inverse Trigonometric Functions | ||
| 2 | Algebra | 10 | |
| 3 | Matrices | ||
| 4 | Determinants | ||
| 3 | Calculus | 35 | |
| 5 | Continuity and Differentiability | ||
| 6 | Applications of Derivatives | ||
| 7 | Integrals | ||
| 8 | Application of Integrals | ||
| 9 | Differential Equations | ||
| 4 | Vector Algebra | 5 | |
| 5 | Three - Dimensional Geometry | 6 | |
| 6 | Linear Programming | 5 | |
| 7 | Probability | 9 | |
| Total | - | - |
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Syllabus
1: Relations and Functions [Revision]
CISCE ISC Class 12 Mathematics Syllabus
1 Relations and Functions [Revision]
2 Inverse Trigonometric Functions [Revision]
- Basics of Inverse Trigonometric Functions
- Domain, Range & Principal Value
- Graphs of Inverse Trigonometric Functions
- Properties of Inverse Trigonometric Functions > Self-adjusting Property
- Properties of Inverse Trigonometric Functions > Reciprocal Property
- Properties of Inverse Trigonometric Functions > Negative Argument Property
- Properties of Inverse Trigonometric Functions > Complementary Property
- Properties of Inverse Trigonometric Functions > Conversion Property
- Properties of Inverse Trigonometric Functions > Addition & Subtraction Formula for Inverse Tangent
- Properties of Inverse Trigonometric Functions > Double-angle Property
- Properties of Inverse Trigonometric Functions > Triple-angle Property
- Properties of Inverse Trigonometric Functions > Addition–Subtraction Formula for Inverse Sine & Cosine
2: Algebra [Revision]
CISCE ISC Class 12 Mathematics Syllabus
3 Matrices [Revision]
- Concept of Matrices
- Types of Matrices
- Equality of Matrices
- Operations on Matrices> Addition and Subtraction of Matrices
- Operations on Matrices>Scalar Multiplication
- Operations on Matrices> Matrix Multiplication
- Positive Integral Powers of Matrices
- Transpose of a Matrix
- Symmetric and Skew Symmetric Matrices
- Invertible Matrices
4 Determinants [Revision]
- Concept of Determinant
- Minors and Co-factors
- Theorems on Determinants
- Properties of Determinants
- Application of Determinants to Coordinate Geometry
- Simplification of Determinants using Properties
- Adjoint of a Matrix
- Singular and Non-singular Matrix
- Relations between a Matrix and its Adjoint
- Inverse of a Square Matrix
- Properties of Invertible Matrices
- Solution of System of Linear Equations
3: Calculus [Revision]
CISCE ISC Class 12 Mathematics Syllabus
5 Continuity and Differentiability [Revision]
- Continuous and Discontinuous Functions
- Types of Discontinuity
- Properties of Continuous Function
- Algebra of Continuous Functions
- Concept of Differentiability
- Relationship Between Continuity and Differentiability
left hand derivative and right hand derivative (need and concept)
- Basic Rules of Differentiation
- Derivatives of Composite Functions
- Derivative of Trigonometric Function
- Derivative of Inverse Trigonometric Function
- Differentiation "ab initio" of Inverse Circular Functions
- Differentiation by Transformation/Substitution
- Differentiation of Implicit Functions
- Exponential and Logarithmic Functions
- Logarithmic Differentiation
- Derivatives of Functions in Parametric Forms
- Differentiation with Respect to Another Function
- Higher Order Derivatives
6 Applications of Derivatives [Revision]
- Tangents and Normals
- Approximations
- Rate Measure
- Sign of the Derivative
- Increasing and Decreasing Functions
- Maxima and Minima
- Application/Practical Problems on Maxima and Minima
- Problems on profit maximization and minimization of cost function
- Inventory control
- Economic Order Quantity (EOQ)
7 Integrals [Revision]
- Integration
- Standard Forms of Integrals
- Properties of Indefinite Integral
- Integration by Substitution(Change of Variable)
- Different Types of Integrals
- Methods of Integration> Integration by Substitution
- Methods of Integration> Integration by Parts
- Some Special Integrals
- Integration Using Standard Algebraic Forms
- Integration of the form where K is Constant
- Integrals ∫√tanx dx and ∫√cot x dx
- Methods of Integration> Integration Using Partial Fraction
- Evaluation of Quadratic Equation
- Integration of Irrational Function> Type 1: Standard Radical Forms
- Integration of Irrational Function> Type 2: 1 / √(Quadratic)
- Integration of Irrational Function> Type 3: Linear / √(Quadratic)
- Integration of Irrational Function> Type 4: √(a² ± x²) and ∫√(x² − a²) dx Forms
- Integration of Irrational Function> Type 5: √(Quadratic)
- Integration of Irrational Function> Type 6: Linear × √(Quadratic)
- Integration of Irrational Function> Type 7: 1 / Linear Trigonometric Forms
- Integration of Irrational Function> Type 8: Linear Trig / Linear Trig
- Integration of Irrational Functions > Type 9: sin²x, cos²x Denominator Forms
- Fundamental Theorem of Calculus
- Evaluation of Definite Integrals
- Properties of Definite Integral
8 Application of Integrals [Revision]
- Sketching of Curves
- Geometrical Interpretation of a Definite Integral.
- Area Under Simple Curves
- Area Bounded by Two Curves
9 Differential Equations [Revision]
- Basic Concepts of Differential Equations
- Order and Degree of a Differential Equation
- Formation of Differential Equations
- Solution of a Differential Equation
- Forms of Solving Differential Equations> Variable Separable
- Forms of Solving Differential Equation>Reducible to variables separable
- Forms of Solving Differential Equations> Homogeneous Differential Equations
- Forms of Solving Differential Equations>Linear Differential Equations
- Application of Differential Equation
4: Vector Algebra [Revision]
CISCE ISC Class 12 Mathematics Syllabus
- Basic Concepts of Vector Algebra
- Direction Ratios, Direction Cosine & Direction Angles in Vector
- Types of Vectors in Algebra
- Algebra of Vectors > Addition & Subtraction of Two Vectors
- Algebra of Vectors > Scalar Multiplication
- Components of Vector in Algebra
- Section Formula in Vector Algebra
- Vectors in Coordinate Geometry
- Parallel Vectors
- Collinearity and Coplanarity of Vectors
- Product of Two Vectors > Scalar (Dot) Product
- Product of Two Vectors > Vector (Cross) Product
