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Summer 2026

These are the broad summary of topics to be covered.

The students will have a chance to submit a list of topics they have studied before we come up with a more comprehensive schedule and resources.

Maths

  • Differentiation

  • Integration

  • Algebra: Proof, Inequalities, Binomial theorem

  • Trigonometry: compound angle formulae and applications

  • Logarithms

  • Statistics: Hypothesis testing

  • Mechanics: Kinematics

  • Mechanics: Forces and equilibrium

Further Maths

  • Further Differentiation

  • Further integration

  • Complex numbers

  • Matrices

  • 3D vector geometry

  • Polar coordinates

  • Differential equations

  • Hyperbolic trigonometric functions

  • Series

Physics

  • Constant and non-constant acceleration

  • Forces and equilibrium; moments and torque

  • Work, energy and power; Conservation and collisions.

  • Springs; Stress and Strain

  • Charge and current; EMF and PD; Resistivity and power

  • Waves and particles

  • Fields

  • Quantum and nuclear physics

  • Astrophysics

  • Thermal physics

  • Motion: Circular motion, SHM, damping, oscillations

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