Introduction to the Mathematics chapter of Datalabcc's "Foundations in Data Science" series.
Primer on elementary algebra
Primer on linear algebra
Primer on systems of linear equations
Primer on calculus
How calculus relates to optimization
Big O notation
Basics of probability.
The ionic basis of the action potential, including the Hodgkin Huxley model.
Introduction to the course Cellular Mechanisms of Brain Function.
The composition of the cell membrane.
Spatiotemporal dynamics of the membrane potential.
Action potential initiation and propagation.
Synaptic transmission and neurotransmitters
Neurotransmitter release in the presynaptic specialization.
Presynaptic short-term dynamics and plasticity.
Synaptic modulation through diffusing neurotransmitters.
Investigating the structure of synapses with electron microscopy.