## Pure Mathematics - M.A., M.S. and Ph.D. Download to printCollege
College of Arts and Sciences
## ResourcesDepartment
Department of Mathematical Sciences
Mathematics and Computer Science Building Description
The Admission Requirements
Graduation Requirements
The Program Learning Outcomes
1. Reason in mathematical arguments, including using precise definitions, articulating assumptions, and reasoning logically to conclusions. 2. Engage effectively in problem solving, including exploring examples, devising and testing conjectures, and assessing the correctness of solutions. 3. Approach mathematical problems creatively, including trying multiple approaches and modifying problems when necessary to make them more tractable. 4. Communicate mathematics clearly both orally and in writing. 5. Teach college-level mathematics. 6. Understand and appreciate connections among different subdisciplines of mathematics. 7. Be aware of and understand a broad range of mathematical subdisciplines. 8. Obtain a broader and deeper understanding of core mathematics disciplines of algebra and analysis.
1. Reason in mathematical arguments at a level appropriate to the discipline, including using precise definitions, articulating assumptions, and reasoning logically to conclusions. 2. Engage effectively in problem solving, including exploring examples, devising and testing conjectures, and assessing the correctness of solutions. 3. Approach mathematical problems creatively, including trying multiple approaches and modifying problems when necessary to make them more tractable. 4. Communicate mathematics clearly both orally and in writing. 5. Teach college-level mathematics. 6. Obtain a deeper understanding of some subdiscipline of mathematics.
1. Understand and appreciate connections among different subdisciplines of mathematics. 2. Be aware of and understand a broad range of mathematical subdisciplines. 3. Obtain a broader and deeper understanding of core mathematics subdisciplines of algebra and analysis. 4. Obtain a deep understanding of some subdiscipline. 5. Reason in mathematical arguments at a deep level, including using precise definitions, articulating assumptions, and reasoning logically to conclusions. 6. Engage effectively in problem solving, including exploring examples, devising and testing conjectures, and assessing the correctness of solutions. 7. Approach mathematical problems creatively, including trying multiple approaches and modifying problems when necessary to make them more tractable. 8. Develop and carry out a research program in mathematics. 9. Communicate mathematics clearly both orally and in writing. 10. Teach university-level mathematics effectively. Culminating Requirements
This examination will be a comprehensive examination in the field of the major subject, and will be a substantially deeper test than the qualifying examination. |

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