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Thanks a lot,

Alex

- Thread starter amcavoy
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- #1

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Thanks a lot,

Alex

- #2

JasonRox

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Take an Analysis course or something. Or even Abstract Algebra.

I'm not sure what your goals are, but they seem to be geared towards General Relativity... maybe.

Take your time and challenge yourself on the current topics you are studying. Don't rush through it because it will catch up to you. Try to fully understand the concepts before moving on.

I tried going through Spivak's text independently before, but I tried to rush through it. After a couple chapters, I noticed my skills were crap and got discouraged, so I stopped. I now take my time and slowly move on. I give myself deadlines that are generous and that are obtainable. I'm doing very well right now. I take my time reading the chapter and fully absorbing everything he says because that's the only examples I get (independent remember). I also ask myself honestly if I'm ready to move on to the next chapter (after doing some questions), but if I don't feel 100%, I pick a difficult question that I must solve before moving on. Normally, after solving the difficult question I feel that I am prepared to move on.

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I agree. Learning is not a race.Take your time and challenge yourself on the current topics you are studying. Don't rush through it because it will catch up to you. Try to fully understand the concepts before moving on.

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By the looks of what I've seen from differential geometry, multivariable calculus and linear algebra areapmcavoy said:

Thanks a lot,

Alex

By the way, if you're already at differential equations, why would you need to take algebra I and II? :\ Weren't you supposed to take those before Calc. I-II? Or is Linear Algebra split into two parts at your university?

Anyway, if you really want to go for differential geometry next semester, read some online texts on Calc. III, (There's a good book from MIT linked to in the links section) Linear Algebra and Differential Geometry itself before you decide you

Best of luck to you... and let us know how it goes. :)

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Oh yeah, by algebra I and II I mean modern algebra I and II (groups, rings, fields, etc.). I'll see how it goes.Pseudo Statistic said:By the looks of what I've seen from differential geometry, multivariable calculus and linear algebra areveryimportant pre-requisites.

By the way, if you're already at differential equations, why would you need to take algebra I and II? :\ Weren't you supposed to take those before Calc. I-II? Or is Linear Algebra split into two parts at your university?

Anyway, if you really want to go for differential geometry next semester, read some online texts on Calc. III, (There's a good book from MIT linked to in the links section) Linear Algebra and Differential Geometry itself before you decide youREALLYwant to skip ahead to that.

Best of luck to you... and let us know how it goes. :)

Thanks a lot,

Alex

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- #7

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It's not a high school class. I live right near a university that offers it, where I have been taking my classes past calculus (which is the last class my high school offers). I have to pay the required fees as if I were a regular student at the university, but I am able to take some classes there.Mulder said:

Alex

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It sounds like a good opportunity, and one that isn't available to many, so you should consider it. I think some grounding in tensors is usually helpful to differential geometry, though I don't know how advanced a 500 level course is. If you're confident with calculus then maybe it's worth a go. I do agree though with other posters saying that diving into something before you're ready for it would be a waste of money. It's hard sometimes, but just be patient.

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