One of my major concerns is that switching to mathematics "looks bad". It seems from the quote that you disagree, that no one really cares? If that's the case then considering I'm more interested in the mathematics courses, it's a no brainier to switch to math.
So you I've screwed up in Mechanical engineering courses due to a combination of personal reasons and some tough professors. I have discovered that it is possible to finish a BA in mathematics in the same time frame as the Mechanical engineering BS degree, only one semester + the summer. I've...