Mathematical methods and tricks

- approximations, series expansions
- calculus
- vectors
- matrices
- vector calculus
- variational calculus?

Mechanics

- statics
- linear kinematics and dynamics
- momentum, force, energy
- Lagrangian and Hamiltonian approaches

Rigid Body Motion

- derivation from linear dynamics

Hydrodynamics

- continuity equations
- pressure
- surface tension effects

Astrophysics

- planetary laws and motion

Oscillations

- going beyond mechanics
- modes and coupling

Special Relativity

- postulates
- mathematical language
- description of General Relativity

Thermodynamics

- temperature
- entropy
- free energy
- ideal gas systems and engines
- statistical mechanics and probability
- quantum statistics

Electromagnetism

- experiments
- Maxwell laws

EM Circuits

Optics

Waves

Quantum Physics