It is all forms of engineering that deal with anything that flies into space, like telescopes, satellites, missiles,etc.
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Math and physics are extremely important for an aerospace engineer. The first 3 levels of calculus are a basis. Any university engineering program will be heavily loaded with math and math related courses.
Depends on what standard engineering you're doing. If it's University engineering, consider doing A level maths If it's college engineering, consider doing Gcse/As level maths.
The probability of engineering is 1. It exists and so it is a certainty that is exists.
Structural engineering uses a tremendous amount of math.
Go to school and learn how to do engineering maths.