# Thread: Classic Tensor Analysis Problems

1. ## Classic Tensor Analysis Problems

From my experience, there are some "classic" problems associated with various math classes. For example:

1. Calculus 1 - "Find the limit, derivative, or integral"

2. Calculus 2 - "Calculate the improper integral"

3. Calculus 3 - "Calculating surface and line integrals"

4. Calculus 4 - "Salt in tank at time t problems"

etc...

So my question is this:

What are characteristic problems, like those above, of some graduate level courses? Or are they completely different? I'm curious about such a problem in a classic Intro. to Tensor Analysis course.

Any insight would be greatly appreciated!

2. I think you'd be disappointed. MOST of the coursework of the "graduate level" tensor analysis class I took in 2000 was focused on diddling around with Einstein summation notation, particularly Christoffel symbols. Though I do remember covering the shapes of geodesics on some surfaces, but not even anything like a spiral around a torus, more like "prove the geodesic around a sphere is always a circumference like an equator". Not once did we search for closed timelike curves around a rotating black hole.

3. Originally Posted by zortharg
I think you'd be disappointed. MOST of the coursework of the "graduate level" tensor analysis class I took in 2000 was focused on diddling around with Einstein summation notation, particularly Christoffel symbols. Though I do remember covering the shapes of geodesics on some surfaces, but not even anything like a spiral around a torus, more like "prove the geodesic around a sphere is always a circumference like an equator". Not once did we search for closed timelike curves around a rotating black hole.
Ah that's a bummer Where did you take the course?

Does anyone else have an experience they could share?