ICSE Class 11 Syllabus for Mathematics

ICSE Class 11 Maths Syllabus Latest 2025-2026

The ICSE Class 11 Mathematics syllabus is designed to build a strong foundation in various mathematical concepts and techniques. Here's a detailed breakdown of the syllabus:

1. Sets and Functions

  • Sets: Definition, types of sets (finite, infinite, equal, empty, subset), operations on sets (union, intersection, difference), and Venn diagrams.
  • Relations and Functions: Definition of relations, types of relations, domain, range, types of functions (one-to-one, onto, bijective), and function composition.
  • Function Graphs: Graphical representation of functions, including linear, quadratic, and other common functions.

2. Algebra

  • Complex Numbers: Definition, basic operations (addition, subtraction, multiplication, division), and polar form.
  • Quadratic Equations: Solution of quadratic equations, nature of roots, and applications.
  • Sequences and Series: Arithmetic progressions (AP), geometric progressions (GP), and series, including the sum of n terms and applications.
  • Matrices and Determinants: Definition and types of matrices, operations on matrices (addition, multiplication), determinants of 2x2 and 3x3 matrices, and their properties.

3. Trigonometry

  • Trigonometric Functions: Definitions, domains, ranges, and graphs of sine, cosine, tangent, and their reciprocals.
  • Trigonometric Identities: Fundamental identities, Pythagorean identities, and angle sum and difference formulas.
  • Trigonometric Equations: Solving basic trigonometric equations and applications.
  • Applications: Problems involving heights and distances using trigonometric ratios.

4. Coordinate Geometry

  • Straight Lines: Equation of a line, slope, and intercept form, distance between two points, and section formula.
  • Conic Sections: Parabolas, ellipses, and hyperbolas; their standard equations and properties.
  • Circles: Equation of a circle, tangent, and normal to a circle, and the standard form of the equation of a circle.

5. Calculus

  • Limits: Concept of limits, basic limit theorems, and evaluation of limits.
  • Differentiation: Definition of derivative, rules of differentiation (product rule, quotient rule, chain rule), and applications of derivatives (tangent and normal, maxima and minima).
  • Integration: Basic integration concepts, rules of integration (substitution, partial fractions), and definite and indefinite integrals.

6. Probability and Statistics

  • Probability: Basic concepts, conditional probability, and Bayes’ theorem.
  • Statistics: Measures of central tendency (mean, median, mode), measures of dispersion (range, variance, standard deviation), and graphical representation (histograms, frequency polygons).

7. Vectors

  • Vectors in 2D and 3D: Definition and representation of vectors, addition and subtraction of vectors, scalar and vector products, and applications.
  • Vector Algebra: Basic operations with vectors, dot product, and cross product.

8. Mathematical Reasoning

  • Logical Reasoning: Basic principles of mathematical logic, propositions, and logical operators.
  • Proofs and Theorems: Techniques for proving mathematical statements, including proof by induction and contradiction.

Practical Work

  • Graphical Representations: Plotting and interpreting graphs of functions and equations.
  • Computational Methods: Application of mathematical techniques to solve real-world problems.

Notes

  • Textbooks and Reference Materials: It is crucial to use the prescribed textbooks and reference materials provided by ICSE or recommended by your school.
  • Additional Topics: Schools might include additional topics based on their curriculum requirements, so always check with your school for any specific updates or modifications to the syllabus.

This syllabus is designed to give students a thorough understanding of mathematics, preparing them for further studies and applications in various fields

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