# Ph.D. Program Learning Outcomes

**Ph.D. Learning Outcomes**

Mathematics Ph.D. graduates will demonstrate:

- PLO1: Mastery of fundamental knowledge in Mathematics (Algebra, Analysis, Geometry).
- PLO2: Ability to solve problems and communicate solutions in rigorous mathematical language.
- PLO3: Ability to communicate mathematical concepts effectively.
- PLO4: Ability to conduct independent research.

Ph.D Requirement |
PLO1 |
PLO2 |
PLO3 |
PLO4 |

Math 200-210 | X | X | ||

Math 211-299 | X | X | ||

Preliminary Examinations | A | A | ||

Teaching Assistantship | X | |||

Qualifying Examination | X | A | A | |

Thesis | X | X | A | A |

X = Learning outcome is introduced and developed

A = Students demontrate learning outcome and assessment evidence is collected

*Specifics of Assessments:**PLO1 and PLO2: All students taking a preliminary exam are assessed. Preliminary exam problems that emphasize knowledge, problem solving skills, or rigorous argumentation are evaluated. Analytic rubrics with specific standards are applied.*

*PLO3 and PLO4: All students taking a qualifying (oral) exam and submitting a thesis are assessed. Analytic rubrics with specific standards are applied.*