One of the distinguishing factors between the two is that courses related to aeronautics can be completed as degree programs, Aircraft Maintenance Engineering (AME) is basically a license-based course.

An aeronautical engineering course involves the study of the design, structure, aerodynamics, systems and operations related to aeronautics. The role is focused on enhancing high-quality flight safety and standards as well as reducing system costs.

In general, AME is not as glamorous and not as high paying and recognized as other engineering streams. However, stress levels are also pretty low and demands are not as high as other design engineering groups.

But keep in mind that it is not a degree course, it is just a licensed course.

Good luck!