It is important for all engineers to have at least a basic understanding of math. Most very specialized engineers need to have a very good understanding of math in order to do their jobs well and safely.
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No you do not, all your doing is taking off one part, and replacing it with another, their is no math involved. People who tell you that u need to know math to become a mechanic, only say that because they have been told that by an adult.
it depends on how much they want or need. It all depends on how good you are at math, what you know, where you live, how old you are, etc. As you can see there are lots of variables in this equation.
All jobs require math even hobos require math because they have to know what time the soup kitchen opens and then they have to know how long it takes to walk there and then they need to know what there estimated time to get there is. Math is required in every job even when you don't think about it. This paragraph isn't meant to have any harsh feelings about hobos.
Pediatritians need math to write all of their prescriptions carefully. (This much of this. That much of that.)
Engineering is a purely math field! From the very basic engineering courses, all you do is math. You must compute things like trajectories of objects spinning, flying, falling, etc, or what an object might do if it were to start moving. You also need to compute areas and volumes of odd-shaped objects to more accurately represent them in problems to determine how they will move--crucial for mechanical engineers. Basically, if you're not good at math, engineering is not the field for you.