Work out the general arrangement method first, and then do the subtraction problem. You can't arrange the course.

The overall arrangement is A66 = 6! = 720 species

The first section is physical education class's arrangement method.

A55=5！ = 120

The second part is the arrangement of geography class.

A55=5！ = 120

The sixth section is the arrangement of math class as follows

A55=5！ = 120

Among them, the arrangement of the second section of geography and the sixth section of mathematics has already included some arrangements of the first section, that is, repeated calculation. In this case, the first section is physical education, the second section is geography, and the sixth section is mathematics: 2*A33= 12.

So the final arrangement method is 720-120-120-120+12 = 372.