Conduct research in fundamental mathematics or in application of mathematical techniques to science, management, and other fields. Solve problems in various fields using mathematical methods.
<ul><li>Develop computational methods for solving problems that occur in areas of science and engineering or that come from applications in business or industry.</li><li>Apply mathematical theories and techniques to the solution of practical problems in business, engineering, the sciences, or other fields.</li><li>Develop mathematical or statistical models of phenomena to be used for analysis or for computational simulation.</li><li>Maintain knowledge in the field by reading professional journals, talking with other mathematicians, and attending professional conferences.</li><li>Assemble sets of assumptions and explore the consequences of each set.</li><li>Address the relationships of quantities, magnitudes, and forms through the use of numbers and symbols.</li><li>Disseminate research by writing reports, publishing papers, or presenting at professional conferences.</li><li>Perform computations and apply methods of numerical analysis to data.</li><li>Develop new principles and new relationships between existing mathematical principles to advance mathematical science.</li></ul>