Where are you from?
In US, at least in NY state, junior level high school course can't cover probability into that extent.
Not all CS people need all those math, some of them just want to be programmers. In fact even if they become computer scientists in academia, not all of them need to know abstract algebra.
The course is about breadth instead of depth. If you septate the contents into 'real' courses, it will increase the huge amount of course load.(but, I heard MIT students can handle the load...so idk)
Where are you from? In US, at least in NY state, junior level high school course can't cover probability into that extent.
Not all CS people need all those math, some of them just want to be programmers. In fact even if they become computer scientists in academia, not all of them need to know abstract algebra.
The course is about breadth instead of depth. If you septate the contents into 'real' courses, it will increase the huge amount of course load.(but, I heard MIT students can handle the load...so idk)
MIT has [course 18-C](http://www-math.mit.edu/academics/undergrad/major/course18c....) for people who does like math and CS.