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ICSE Mathematics — Classes 11 & 12
Complete ICSE Syllabus
ICSE Mathematics — Classes 11 & 12
Comprehensive syllabus coverage for ISC Mathematics with detailed topics, study plans, and practice resources. Master Calculus, Algebra, Statistics and more for board exams.
CLASS 11
CLASS 12
Total Chapters: 16+
Difficulty: Moderate-High
Marks: 100
Exam Strategy: Focus on Calculus (30 marks) and Algebra (25 marks) as they carry maximum weightage. Practice previous year papers thoroughly.
Class 11 Mathematics Syllabus
Detailed Class 11 Topics
Sets and Functions
- Sets and their representations, types of sets, subsets, power set
- Relations and functions: domain, co-domain, range
- Trigonometric functions: identities, graphs, properties
- Inverse trigonometric functions
- Principal values of trigonometric functions
Algebra
- Complex numbers and quadratic equations
- Linear inequalities
- Permutations and combinations
- Binomial theorem
- Sequence and series: arithmetic, geometric progressions
Coordinate Geometry
- Straight lines: slope, various forms of equations
- Circles: standard form, general equation, tangent
- Conic sections: parabola, ellipse, hyperbola
- Introduction to three-dimensional geometry
Calculus
- Limits and derivatives: intuitive approach, algebra of limits
- Derivatives of polynomial and trigonometric functions
- Applications of derivatives: rate of change, increasing/decreasing functions
Mathematical Reasoning & Statistics
- Mathematically acceptable statements
- Statistics: measures of dispersion, mean deviation, variance
- Probability: random experiments, events, axiomatic approach
Class 12 Mathematics Syllabus
Detailed Class 12 Topics
Relations and Functions
- Types of relations: reflexive, symmetric, transitive, equivalence
- Composition of functions and invertible functions
- Binary operations
- Inverse trigonometric functions: graphs, properties
Algebra
- Matrices: concepts, algebra, types, operations
- Determinants: properties, evaluation, area of triangles
- Adjoint and inverse of a matrix
- Solutions of system of linear equations
Calculus
- Continuity and differentiability
- Applications of derivatives: rate of change, tangents and normals
- Integrals: indefinite and definite integrals, methods of integration
- Applications of integrals: area under curves
- Differential equations: formation, solutions, methods
Vectors and Three-dimensional Geometry
- Vectors and scalars, magnitude and direction
- Direction cosines and ratios
- Equation of line and plane in space
- Angle between lines and planes
- Distance of a point from a plane
Linear Programming & Probability
- Linear programming: mathematical formulation, graphical method
- Probability: conditional probability, multiplication theorem
- Independent events, Bayes’ theorem, random variables
- Mean and variance of random variables
Complete ICSE Mathematics Syllabus (11 & 12)
Algebra
Sets, relations, functions, matrices, determinants, complex numbers
Class 11 Class 12Calculus
Limits, derivatives, integrals, applications, differential equations
Class 11 Class 12Coordinate Geometry
Straight lines, circles, conic sections, 3D geometry
Class 11 Class 12Statistics & Probability
Measures of dispersion, probability, random variables
Class 11 Class 12ICSE Board Exam Preparation Strategy
- Months 1-2: Complete Algebra and Calculus fundamentals
- Months 3-4: Master Coordinate Geometry and Vectors
- Month 5: Focus on Probability and Statistics
- Month 6: Revision and practice of previous year papers
- Final Month: Mock tests and time management practice