Units and Measurements
SI units, dimensions, significant figures, error analysis
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SI units, dimensions, significant figures, error analysis
Displacement, velocity, acceleration, equations of motion
Vectors, projectile motion, circular motion
Newton's laws, friction, inertia, momentum
Work-energy theorem, conservative forces, power
Centre of mass, torque, angular momentum, MOI
Newton's law of gravitation, Kepler's laws, satellites
Stress, strain, Young's modulus, elasticity
Pressure, Bernoulli's theorem, viscosity, surface tension
Heat transfer, specific heat, calorimetry, thermal expansion
Laws of thermodynamics, heat engines, entropy
Kinetic theory of gases, RMS speed, equipartition theorem
SHM, simple pendulum, spring-mass system, resonance
Wave speed, reflection, Doppler effect, superposition
Modulation, bandwidth, propagation, antennas
Matter, mole concept, Avogadro's number, molarity
Bohr's model, quantum numbers, orbitals, electron config
Periodic table, Mendeleev, periodic trends
Ionic, covalent bonds, VSEPR, hybridisation
Gas laws, ideal gas equation, kinetic theory
Enthalpy, Hess's law, entropy, Gibbs energy
Le Chatelier's principle, Kc, Kp, ionic equilibrium
Oxidation states, balancing redox, electrochemistry basics
Position, preparation, properties, isotopes
Alkali & alkaline earth metals, properties & compounds
Groups 13 & 14, boron, carbon family
IUPAC nomenclature, isomerism, reaction mechanisms
Alkanes, alkenes, alkynes, aromatic hydrocarbons
Pollution, greenhouse effect, ozone depletion
Set notation, types of sets, operations, De Morgan's laws
Domain, range, types of functions, composition
Unit circle, identities, graphs, inverse trig
Base case, inductive step, applications
Imaginary numbers, Argand plane, roots of equations
Graphical solutions, one and two variable inequalities
Factorial, ⁿPᵣ, ⁿCᵣ, counting principles
Binomial expansion, general term, Pascal's triangle
AP, GP, HP, sum formulae, infinite series
Slope, intercept, distance between points, normals
Circle, parabola, ellipse, hyperbola — equations
3D coordinate system, distance, section formula
Limits, continuity, differentiation, first principles
Statements, connectives, contrapositive, quantifiers
Mean, variance, standard deviation, frequency distribution
Events, sample space, conditional probability, Bayes' theorem