there's another quantum mechanics course happening (live sessions etc.) conducted by dr florian marquardt (director of the planck institute) - I've liked it so far
Perhaps some might find this helpful in getting some intuition for the meaning of determinants:
In 2 dimensional (real) geometry, the determinant of a linear transformation A is the area of the unit square after it has been multiplied by A.
Volume in 3 dimensions, hypervolume in n dimensions.