Structural engineering uses a tremendous amount of math.
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Most of the engineering classes are dependant on math knowledge; especially the solving of differential equations.
Possibly. You also have to be good at and enjoy engineering concepts which do involve math.
Of course not. Certainly, you won't be bad at physics or engineering BECAUSE OF your math skills. You NEED math for physics, and both math and physics for engineering, so somebody who is not good at math is more likely to have trouble with physics or engineering.
Math will help, not hinder, you in this. You actually need a LOT of math, especially for physics and engineering.
If you think you can draw that kind of correlation, then I've got news for you: You're not that good at math.