Applied Mathematics

Plan, direct, or coordinate activities in such fields as life sciences, physical sciences, mathematics, statistics, and research and development in these fields.

• Hire, supervise, or evaluate engineers, technicians, researchers, or other staff.
• Design or coordinate successive phases of problem analysis, solution proposals, or testing.
• Plan or direct research, development, or production activities.

Analyze statistical data, such as mortality, accident, sickness, disability, and retirement rates and construct probability tables to forecast risk and liability for payment of future benefits. May ascertain insurance rates required and cash reserves necessary to ensure payment of future benefits.

• Ascertain premium rates required and cash reserves and liabilities necessary to ensure payment of future benefits.
• Collaborate with programmers, underwriters, accounts, claims experts, and senior management to help companies develop plans for new lines of business or improvements to existing business.
• Analyze statistical information to estimate mortality, accident, sickness, disability, and retirement rates.

Conduct research, prepare reports, or formulate plans to address economic problems related to the production and distribution of goods and services or monetary and fiscal policy. May collect and process economic and statistical data using sampling techniques and econometric methods.

• Study economic and statistical data in area of specialization, such as finance, labor, or agriculture.
• Compile, analyze, and report data to explain economic phenomena and forecast market trends, applying mathematical models and statistical techniques.
• Study the socioeconomic impacts of new public policies, such as proposed legislation, taxes, services, and regulations.

Develop and implement a set of techniques or analytics applications to transform raw data into meaningful information using data-oriented programming languages and visualization software. Apply data mining, data modeling, natural language processing, and machine learning to extract and analyze information from large structured and unstructured datasets. Visualize, interpret, and report data findings. May create dynamic data reports.

• Generate standard or custom reports summarizing business, financial, or economic data for review by executives, managers, clients, and other stakeholders.
• Maintain or update business intelligence tools, databases, dashboards, systems, or methods.
• Manage timely flow of business intelligence information to users.

Analyze and measure exposure to credit and market risk threatening the assets, earning capacity, or economic state of an organization. May make recommendations to limit risk.

Develop or apply mathematical or statistical theory and methods to collect, organize, interpret, and summarize numerical data to provide usable information. May specialize in fields such as biostatistics, agricultural statistics, business statistics, or economic statistics. Includes mathematical and survey statisticians.

• Analyze and interpret statistical data to identify significant differences in relationships among sources of information.
• Evaluate the statistical methods and procedures used to obtain data to ensure validity, applicability, efficiency, and accuracy.
• Report results of statistical analyses, including information in the form of graphs, charts, and tables.

Conduct quantitative analyses of information involving investment programs or financial data of public or private institutions, including valuation of businesses.

Teach courses pertaining to mathematical concepts, statistics, and actuarial science and to the application of original and standardized mathematical techniques in solving specific problems and situations. Includes both teachers primarily engaged in teaching and those who do a combination of teaching and research.

• Compile, administer, and grade examinations, or assign this work to others.
• Evaluate and grade students' class work, assignments, and papers.
• Prepare and deliver lectures to undergraduate or graduate students on topics such as linear algebra, differential equations, and discrete mathematics.