This is simple. First, realize that they have been doing this for a long time and it is your job to work for them . A good manager works for his/her employees while at the same time moves the group toward the goals of the organization. If you stand up for them and respect them, they will respect you.

The difference is that most of the mathematicians could ace auto shop, but most mechanics couldn't comprehend calculus.

Most mathematicians would be severely injured in the process though :-)