Sets, Relations, and Functions:
Sets and their representations, algebra of sets, relations, equivalence relations, mappings, one-one, into and onto mappings, composition of mappings.
Complex Numbers:
Complex numbers in the form a+ib, Argand diagram, algebra of complex numbers, modulus and argument of a complex number, square root of a complex number, triangle inequality.
Quadratic Equations:
Quadratic equations with real coefficients, relations between roots and coefficients, nature of roots, formation of quadratic equations.
Sequences
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Physics
Units and Measurement:
Units for measurement, systems of units, dimensional analysis, significant figures.
Mechanics:
Motion in one and two dimensions, laws of motion, work, energy and power, conservation laws, rotational motion, gravitation, elasticity, fluid mechanics.
Heat and Thermodynamics:
Kinetic theory of gases, laws of thermodynamics, heat transfer.
Oscillations and Waves:
Simple harmonic motion, damped and forced oscillations, wave motion, superposition of waves, Doppler effect.