Yes u have to take applied maths

You don't need good math skil to join this field but you must develop math skil because you need it. And ya there is math in SE.

You need to have good math skill if u wanna join thus fields

Computers science has applied mathematic 1 and some other basic courses like algebra and discrete mathematics not sure about software engineering tho

If you don't like math, don't even think about joining these fields

Only first year after that u just do algorithms for one semester and u just focus on coding.