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I'm in the process of getting my application to grad school completed and have a number of "5000" level classes that I'm not exactly sure how to classify on my my applications. Is it appropriate/acceptable to list ALL of them as "graduate" classes that I've taken as an undergraduate....even...
2. ### Is a function contravariant?

My understanding of differential forms is that, given the map \phi : V \to V^{*} If f \in V^{*} is a 0-form (a real-valued function on V^{*} ), then \phi defines the function \phi^{*} f on V where \phi^{*}: F^{0}(V^{*}) \to F^{0}(V) as the function such that...
3. ### Tangent space vs. Vector space

I'm not sure I fully understand the difference between these two terms when used in differential geometry/general relativity. If I were to describe covariant differentiation to someone, I would say something like this: "On a curved manifold (imagine a basketball), you could assume a tangent...
4. ### Why so few Relativity/Gravity groups in the US?

Why are there so few research groups that focus on relativity and gravity in the US? It may be only my perception, but it seems that studying general relativity is rather "standard" in the UK. The schools I've looked at all seem to have a few classes on relativity at the undergraduate level...
5. ### Question on wording for paper

Question on wording for paper (re-explained in a second post) In a paper (undergrad thesis type paper) on GR, I have the statement: A vanishing Ricci Tensor, i.e., R_{\mu \nu}=0 is not enough to explicitly define a flat space-time. In the case where the manifold being investigated has...
6. ### Courses How do 'unique' courses look on graduate applications?

I'm wondering how I can expect the "course" I'm taking this summer to look on a graduate school application for physics? I put "course" in quotations because I'm the only one in the course, and it is kind of made up for me as sort of an independent study with a professor. The professor will...
7. ### Post registration fright

I don't typically start threads, but my schedule for next semester has been causing me some (a lot of) stress. First, my schedule: Advanced Differential Equations Quantum Mechanics E&M Fundamental Concepts of Geometry (basically intro to non-Euclidean geometries) Second, my reason for...