Theoretical mathematicians advance mathematical knowledge by developing new principles and recognizing previously unknown relationships between existing principles of mathematics. Although these workers seek to increase basic knowledge without necessarily considering its practical use, such pure and abstract knowledge has been instrumental in producing or furthering many scientific and engineering achievements. Many theoretical mathematicians are employed as university faculty, dividing their time between teaching and conducting research.
Applied mathematicians use theories and techniques, such as mathematical modeling and computational methods, to formulate and solve practical problems in business, government, engineering, and the physical, life, and social sciences. For example, they may analyze the most efficient way to schedule airline routes between cities, the effects and safety of new drugs, the aerodynamic characteristics of an experimental automobile, or the cost-effectiveness of alternative manufacturing processes.
Mathematics is found everywhere and in most careers or trades:
Skilled Trades & Technical Sciences
Transportation, Distribution and Logistics
Facility & Mobile Equipment Maintenance
Mathematics as a Career.
According to College in Colorado.org, this career is in the Science, Technology, Engineering and Mathematics cluster in the Colorado Career Cluster Model ~
College in Colorado: Mathematicians
More about Mathematics at U.S Bureau of Labor Statistics ~
Mathematicians
Or explore your career options at ONet Online ~
ONetOnline.org