Student Learning Outcomes

Goal 1: Students will acquire a broad graduate education.

1.1: Students will have a graduate level understanding of Geometry, Algebra, Analysis, and Problem Solving.

1.2: Students will be familiar with the mathematical concepts arising in a range of mathematical areas (e.g. topology, mathematical physics, etc.).

Goal 2: Students will acquire an in-depth understanding of a particular mathematical topic and its place in the broader context of mathematics.

2.1: Students will be able to write a thesis on the area of mathematics that they have chosen.

2.2: Students will be able to give a knowledgeable oral presentation on this topic.

Goal 3: Students will develop advanced analytical and problem solving skills.

3.1: Students will be able to identify and analyze the mathematical structure of a problem.

3.2: Students will be able to solve mathematical problems using advanced problem solving techniques.

Goal 4: Students will develop advanced critical thinking skills.

4.1: Students will be able to critique mathematical arguments.

4.2: Students will be able to write well-supported mathematical proofs.

Goal 5: Students will develop expository skills.

5.1: Students will be able to communicate advanced mathematics orally in a clear an effective manner.

5.2: Students will be able to write a clear and succinct mathematical exposition.