A nuclear engineer devises how to use radioactive materials in manufacturing, agriculture, medicine, power generation, and many other ways. Many nuclear engineers design, develop, monitor, and operate nuclear plants used to generate power. They may work on the nuclear fuel cycle — the production, handling, and use of nuclear fuel and the safe disposal of waste produced by the generation of nuclear energy. Others research the production of fusion energy. Some specialize in the development of power sources for spacecraft that use radioactive materials. Others develop and maintain the nuclear imaging technology used to diagnose and treat medical problems.
The mathematics required for nuclear engineering 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 a nuclear engineer, please use this link.
For more information about nuclear engineering, the US Bureau of Labor Statistics breaks down the job of a nuclear engineer into multiple sections to help better understand the requirements of becoming a nuclear engineer.