An aerospace engineer designs primarily aircraft, spacecraft, satellites, and missiles. In addition, they create and test prototypes to make sure that they function according to design.
The mathematics required for aerospace engineers includes but is not limited to College Algebra, Geometry, Trigonometry, Calculus I and II, Linear Algebra, Differential Equations, and Statistics.
In order to find the average income of an aerospace engineer, please use this link.
For more information about aerospace engineering, the US Bureau of Labor Statistics breaks down the job of an aerospace engineer into multiple sections to help better understand the requirements of becoming an aerospace engineer.