A. Mathematics Syllabus

• Algebra: Real numbers, AP & GP series, Binomial series, Permutations and Combinations, Vectors, Matrices and Determinants, Solving equations, Linear inequalities.
• Functions and Graphs: Relations, functions, types of functions, graphs of linear, quadratic, polynomial, logarithmic and exponential functions.
• Coordinate Geometry: Cartesian plane, straight lines, slope and intercept, intersection of lines, circle, parabola, hyperbola and ellipse.
• Calculus: Limits, continuity, differentiation, second order derivatives, applications of derivatives, integration by parts and substitution, definite and indefinite integrals, differential equations.
• Set Theory and Probability: Types of sets, set operations, classical and axiomatic probability, conditional probability.
• Elementary Statistics: Interpretation of tables and graphs, mean, median, mode and variance.
• Logical and Quantitative Analysis: Number series, logical patterns, quantitative problem solving.

B. English Syllabus

• Vocabulary and Word Usage: Synonyms, antonyms, one word substitutions, idioms and phrases, collocations, prefixes and suffixes.
• Sentence Structure and Clarity: Sentence completion, rearrangement, grammar correction, redundancy and ambiguity elimination.
• Logical and Analytical Language Skills: Analogies, relationships between words and ideas, cause-effect relationships.

Chemistry Syllabus

• Some Basic Concepts of Chemistry
• Atomic Structure
• Classification of Elements
• Chemical Bonding
• States of Matter
• s-Block Elements
• p-Block Elements (13–18)
• d- and f-Block Elements
• Coordination Compounds
• Thermodynamics
• Equilibrium
• Liquid State
• Chemical Kinetics
• Electrochemistry
• Redox Reactions
• Organic Chemistry Basics
• Hydrocarbons
• Haloalkanes and Haloarenes
• Alcohols, Phenols and Ethers
• Aldehydes, Ketones and Carboxylic Acids
• Organic Compounds Containing Nitrogen
• Biomolecules
• Polymers
• Environmental Chemistry

• Algebra: Complex numbers, quadratic equations, polynomials.
• Coordinate Geometry (2D): Straight lines, circle, parabola, ellipse, hyperbola.
• Matrices & Determinants: Matrix operations, inverse, determinants, solving linear equations.
• Differential Calculus: Functions, limits, continuity, differentiability, chain rule, higher-order derivatives, maxima-minima, tangents.
• Integral Calculus & Differential Equations: Integration methods, definite integrals, area under curves, differential equations.
• Function plotting
• Basic Geometry (2D and 3D)

• Vector: Vector operations, dot & cross product, direction cosines, equations of lines, shortest distance, angle between lines.
• Mechanics: Force, momentum, work, energy, power.
• Oscillation and Waves
• Electrostatics: Electric charges and fields, electrostatic potentials.
• Dual Nature of Radiation and Matter: Light-matter interaction.

• Biomolecules
• Cell Cycle and Cell Division
• Photosynthesis in Higher Plants
• Plant Growth and Development
• Molecular Basis of Inheritance
• Reproduction
• Chemical Coordination and Integration
• Digestion and Absorption
• Breathing and Exchange of Gases
• Biotechnology and its Applications

• A.P., G.P., H.P., Logarithms
• Complex Numbers
• Quadratic Equations
• Permutations & Combinations
• Binomial Theorem
• Infinite Series
• Matrices, Sets, Mappings and Probability
• Trigonometry
• Coordinate Geometry
• Integral Calculus
• Differential Calculus
• Differential Equations
• Applications of Calculus

History syllabus with reference to Class XI-XII across major education boards (ISC, ICSE, WBCHSE, WBBME).

Major Themes

• Ancient Indian History
• History of Ancient Civilizations
• Mediaeval Indian History
• Modern Indian History
• Early Modern European History
• History of Modern Europe
• Decolonization