Mathematics:
- Precalculus:
Sines and Cosines.
Vector addition.
Complex multiplication.
- Calculus:
Differentiation.
Integration.
Riemann sum.
Taylor series.
Polar coordinates.
Number e.
First order linear differential equation.
- Linear Algebra:
Coordinates.
Linear mappings.
Eigenvalues and eigenvectors.
- Geometry:
Plane curves.
Bézier curves.
- Statistics:
Binomial distribution.
Poisson distribution.
Normal distribution.
- Numerical analysis:
Sampling and aliasing.
Physics:
- Optics:
Snell's law.
Thin lenses.
Mirrors.
Dioptric surfaces.
- Relativistic mechanics:
Relativistic constantly accelerated motion.
- Atomic Physics:
Fine structure splitting.
Zeeman effect.
- Molecular Physics:
Simple molecule.
- Solid State Physics:
Semiconductors.
Chemistry:
- Chemical kinetics:
Reversible reaction.
Parallel reactions.
Successive reactions.
