MATH491 — Senior Thesis
Provides opportunity to conduct independent mathematical research and present findings through written thesis and oral presentation.
Learning Objectives & Matches
Synthesize pertinent mathematical background material
Mentor others on mathematical techniques.
Apply mathematical theories and techniques to the solution of practical problems in business, engineering, the sciences, or other fields.
Conduct research to extend mathematical knowledge in traditional areas, such as algebra, geometry, probability, and logic.
Propose solutions in engineering, the sciences, and other fields using mathematical theories and techniques.
Develop new principles and new relationships between existing mathematical principles to advance mathematical science.
Break systems into their components, assign numerical values to each component, and examine the mathematical relationships between them.
Conduct logical analyses of business, scientific, engineering, and other technical problems, formulating mathematical models of problems for solution by computers.
Educate staff in the use of mathematical models.
Develop computational methods for solving problems that occur in areas of science and engineering or that come from applications in business or industry.
Formulate mathematical or simulation models of problems, relating constants and variables, restrictions, alternatives, conflicting objectives, and their numerical parameters.
Conduct independent mathematical research on a chosen topic
Conduct research to extend mathematical knowledge in traditional areas, such as algebra, geometry, probability, and logic.
Apply mathematical theories and techniques to the solution of practical problems in business, engineering, the sciences, or other fields.
Mentor others on mathematical techniques.
Educate staff in the use of mathematical models.
Develop new principles and new relationships between existing mathematical principles to advance mathematical science.
Propose solutions in engineering, the sciences, and other fields using mathematical theories and techniques.
Present the results of mathematical modeling and data analysis to management or other end users.
Conduct logical analyses of business, scientific, engineering, and other technical problems, formulating mathematical models of problems for solution by computers.
Maintain knowledge in the field by reading professional journals, talking with other mathematicians, and attending professional conferences.
Deliver oral or written presentations of the results of mathematical modeling and data analysis to management or other end users.
Independently research mathematical concepts
Conduct research to extend mathematical knowledge in traditional areas, such as algebra, geometry, probability, and logic.
Apply mathematical theories and techniques to the solution of practical problems in business, engineering, the sciences, or other fields.
Mentor others on mathematical techniques.
Develop new principles and new relationships between existing mathematical principles to advance mathematical science.
Propose solutions in engineering, the sciences, and other fields using mathematical theories and techniques.
Examine theories, such as those of probability and inference, to discover mathematical bases for new or improved methods of obtaining and evaluating numerical data.
Educate staff in the use of mathematical models.
Formulate mathematical or simulation models of problems, relating constants and variables, restrictions, alternatives, conflicting objectives, and their numerical parameters.
Adapt statistical methods to solve specific problems in many fields, such as economics, biology, and engineering.
Develop mathematical or statistical models of phenomena to be used for analysis or for computational simulation.
Write technical mathematics documents following professional standards
Apply mathematical theories and techniques to the solution of practical problems in business, engineering, the sciences, or other fields.
Conduct logical analyses of business, scientific, engineering, and other technical problems, formulating mathematical models of problems for solution by computers.
Propose solutions in engineering, the sciences, and other fields using mathematical theories and techniques.
Develop new principles and new relationships between existing mathematical principles to advance mathematical science.
Deliver oral or written presentations of the results of mathematical modeling and data analysis to management or other end users.
Conduct research to extend mathematical knowledge in traditional areas, such as algebra, geometry, probability, and logic.
Mentor others on mathematical techniques.
Educate staff in the use of mathematical models.
Present the results of mathematical modeling and data analysis to management or other end users.
Develop computational methods for solving problems that occur in areas of science and engineering or that come from applications in business or industry.
Write a professional report adhering to scholarly standards
Write technical summaries to report findings.
Write detailed analysis plans and descriptions of analyses and findings for research protocols or reports.
Participate in the preparation of reports or scientific publications.
Disseminate research by writing reports, publishing papers, or presenting at professional conferences.
Develop performance standards, and evaluate work in light of established standards.
Contribute to the compilation, organization, and production of protocols, clinical study reports, regulatory submissions, or other controlled documentation.
Report results of statistical analyses in peer-reviewed papers and technical manuals.
Generate standard or custom reports summarizing business, financial, or economic data for review by executives, managers, clients, and other stakeholders.
Write audit reports to communicate technical and procedural findings and recommend solutions.
Create or review technical design documentation to ensure the accurate development of reporting solutions.
Present mathematical results clearly to academic audiences
Present the results of mathematical modeling and data analysis to management or other end users.
Propose solutions in engineering, the sciences, and other fields using mathematical theories and techniques.
Develop new principles and new relationships between existing mathematical principles to advance mathematical science.
Apply mathematical theories and techniques to the solution of practical problems in business, engineering, the sciences, or other fields.
Deliver oral or written presentations of the results of mathematical modeling and data analysis to management or other end users.
Report results of statistical analyses in peer-reviewed papers and technical manuals.
Address the relationships of quantities, magnitudes, and forms through the use of numbers and symbols.
Write new functions or applications in programming languages to conduct analyses.
Summarize the professional report in an oral presentation
Write technical summaries to report findings.
Generate standard or custom reports summarizing business, financial, or economic data for review by executives, managers, clients, and other stakeholders.
Contribute to the compilation, organization, and production of protocols, clinical study reports, regulatory submissions, or other controlled documentation.
Write detailed analysis plans and descriptions of analyses and findings for research protocols or reports.
Prepare articles for publication or presentation at professional conferences.
Create or review technical design documentation to ensure the accurate development of reporting solutions.
Report results of statistical analyses, including information in the form of graphs, charts, and tables.
Present statistical and nonstatistical results, using charts, bullets, and graphs, in meetings or conferences to audiences such as clients, peers, and students.
Report results of statistical analyses in peer-reviewed papers and technical manuals.
Prepare reports or correspondence concerning project specifications, activities, or status.
Synthesize and apply advanced mathematical concepts
Mentor others on mathematical techniques.
Conduct research to extend mathematical knowledge in traditional areas, such as algebra, geometry, probability, and logic.
Develop new principles and new relationships between existing mathematical principles to advance mathematical science.
Apply mathematical theories and techniques to the solution of practical problems in business, engineering, the sciences, or other fields.
Propose solutions in engineering, the sciences, and other fields using mathematical theories and techniques.
Conduct logical analyses of business, scientific, engineering, and other technical problems, formulating mathematical models of problems for solution by computers.
Maintain knowledge in the field by reading professional journals, talking with other mathematicians, and attending professional conferences.
Educate staff in the use of mathematical models.
Develop computational methods for solving problems that occur in areas of science and engineering or that come from applications in business or industry.
Break systems into their components, assign numerical values to each component, and examine the mathematical relationships between them.
Review and analyze mathematical literature critically
Develop original mathematical arguments and proofs
Communicate complex mathematical ideas effectively