This video is about calculating n, the number of filled states in the conduction band, from density of states and the Fermi function. In most circumstances relating to semiconductors, one can use an approximation for the Fermi function. This makes things simpler and clearer. This won't work for metals.
terminology:
*Density of states refers to quantum states that may or may not be occupied by an electron. It has units of states/eV.
*The Fermi function tells you the probability that any particular state is occupied. It ranges from 0, no chance, to 1, definitely occupied. It can be viewed as having units of electrons per state.
*occupied states = filled states = electrons. These are interchangeable terms.
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