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.

This lecture provides an overview of depression (epidemiology and course of the disorder), clinical presentation, somatic co-morbidity, and treatment options.

Part 1 of 2 of a tutorial on statistical models for neural data

What is the difference between attention and consciousness? This lecture describes the scientific meaning of consciousness, journeys on the search for neural correlates of visual consciousness, and explores the possibility of consciousness in other beings and even non-biological structures.

Ion channels and the movement of ions across the cell membrane.

Action potentials, and biophysics of voltage-gated ion channels.

Voltage-gating kinetics of sodium and potassium channels.

The ionic basis of the action potential, including the Hodgkin Huxley model.

Action potential initiation and propagation.

Long-range inhibitory connections in the brain, with examples from three different systems.

The "connectome" is a term, coined in the past decade, that has been used to describe more than one phenomenon in neuroscience. This lecture explains the basics of structural connections at the micro-, meso- and macroscopic scales.

How does the brain learn? This lecture discusses the roles of development and adult plasticity in shaping functional connectivity.

This lecture will discuss how understanding and applying simple neuroanatomical rules, one can localize the damage along the neuroaxis, the first crucial step toward making the correct clinical diagnosis and initiating treatment.