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Math Help - Classic Tensor Analysis Problems

  1. #1
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    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!
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  2. #2
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    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.
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  3. #3
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    Quote Originally Posted by zortharg View Post
    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?
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