I have BS and MS degrees in ME (2nd MS in Petrophysics) and a PE in ME, so I know a little about ME. Its been great career for me and family.

But to answer your ques - yes, its math intensive. My bro wanted to get an engr degree but after having trouble with Calc 3, he was advised to bail which he did (got a building science degree). The math is heavily influenced by your high school background - I went to a large hi school (907 in my graduating class) and we were well trained in math. I hit Calc 1 and made a solid B, carried that all the way thru Calc 4 and then started getting taxed, managed only Cs in differential eqtns and Advanced engr math 1 and 2. I was taking Math half way thru my junior year.

More specifics - calculus, differential eqtns and engr math which puts calculus together with diff eqtns for problem solving. When you're out working, the level of math varies with the job involved. All the way from something like hvy construction where its nothing but simple addition, subtraction etc to space industry where it was just like school - applied math all over again.

I wouldn't let that teacher kill math for you - anyway to change? Maybeyour next one can "erase the bad taste" this one has left for you concerning math. There is no getting around it, you'll have to be math capable to get just about any engr degree. The upside is a rewarding career, both financially and professionally. My ME background has let me succeed in the electric motor industry (design engr at GE - 5hp to 350HP induction motors), heavy construction (1000ton/day pulp mill), grad school, space industry (was part of the IMAP mission at Redstone working on the shuttle) and now for some time, oil and gas industry. If you do go into ME, many of the courses form parts of all the others and enables you to work in many, many different areas of industry. Grad seniors this yr were getting $65-68K starting salaries.