Mathematics
- Algebra: Complex numbers, quadratic equations, permutations and combinations, binomial theorem, matrices and determinants.
- Trigonometry: Trigonometric ratios, identities, and equations, inverse trigonometric functions, properties of triangles.
- Coordinate Geometry: Straight lines, circles, conic sections (parabola, ellipse, hyperbola).
- Calculus: Limits, continuity, and differentiability, derivatives, applications of derivatives, indefinite
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Physics
- Mechanics: Units and dimensions, kinematics, Newton's laws of motion, work, energy, and power, rotational motion, gravitation.
- Thermal Physics: Heat and temperature, thermal expansion, calorimetry, thermodynamics, kinetic theory of gases.
- Optics: Reflection and refraction, lenses, optical instruments, wave optics (interference, diffraction, polarization).
- Electricity and Magnetism: Electrostatics,
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Chemistry
- Physical Chemistry: Atomic structure, chemical bonding, chemical thermodynamics, solutions, chemical kinetics, equilibrium, redox reactions, electrochemistry, surface chemistry.
- Inorganic Chemistry: Periodic table, chemical bonding, coordination compounds, metallurgy, s-block elements, p-block elements, d-block elements, f-block elements.
- Organic Chemistry: Nomenclature, isomerism, reaction mechanism, haloalkanes and haloarenes, alcohols, phenols, and ethers, aldehydes, ketones, and carboxylic acids, amines, polymers, biomolecules.
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