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Topic: Failing Linear Algebra:
Replies: 91   Last Post: Jan 10, 2007 12:56 PM

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Guest

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Re: Failing Linear Algebra:
Posted: Apr 30, 2004 8:34 PM
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Marc:

>The first time, I spent in a linear algebra course (Kaiserslautern, 1986)
>introduced sets, groups, rings and fields, modules and then vector spaces.
>(in that order)


Odd. We did sets and then groups in algebraic structures. We touched upon
rings, I think, but I don't remember what they are. Have no idea about fields,
if they're not vector fields, which someone already said they aren't. Never
heard of modules.

We did vectors, then vector spaces, then subspaces. Then spans, dependence,
bases, matrices, determinants, then eigenvalues and vectors. It's odd because
Schaum's Outlines does it in a different order. And Cliff's does an even
different order.

>By the time we met vector spaces, the notion of image and kernel as well
>as the proof of the first homomorphism theorem


"Homomorphism theorem"? Is this what's called "Dimension Theorem" now?

>But nowadays nobody needs to be afraid of modules in a linear algebra course,
>unless it is only a MMC (Matrix Manipulation Course).
>


What are modules? And why are they related to marix manipulation? BTW, I, for
one, would love to have taken a linear algebra course that was all MMC. I love
the stuff!



Date Subject Author
4/24/04
Read Re: Failing Linear Algebra:
Daniel Grubb
4/24/04
Read Re: Failing Linear Algebra:
Marc Olschok
4/24/04
Read Re: Failing Linear Algebra:
Daniel Grubb
4/24/04
Read Re: Failing Linear Algebra:
Marc Olschok
4/24/04
Read Re: Failing Linear Algebra:
Daniel Grubb
4/24/04
Read Re: Failing Linear Algebra:
Thomas Nordhaus
4/24/04
Read Re: Failing Linear Algebra:
Dave Rusin
4/25/04
Read Re: Failing Linear Algebra:
Jonathan Miller
4/25/04
Read Re: Failing Linear Algebra:
Felix Goldberg
4/24/04
Read Re: Failing Linear Algebra:
Daniel Grubb
4/28/04
Read Re: Failing Linear Algebra:
Tim Mellor
4/28/04
Read Re: Failing Linear Algebra:
James Dolan
4/28/04
Read Re: Failing Linear Algebra:
Daniel Grubb
4/28/04
Read Re: Failing Linear Algebra:
James Dolan
4/28/04
Read Re: Failing Linear Algebra:
Daniel Grubb
4/28/04
Read Re: Failing Linear Algebra:
gersh@bialer.com
4/29/04
Read Re: Failing Linear Algebra:
Daniel Grubb
4/29/04
Read Re: Failing Linear Algebra:
Dave Rusin
4/28/04
Read Re: Failing Linear Algebra:
Guest
1/10/07
Read Re: Failing Linear Algebra:
Russell Blackadar
1/10/07
Read Re: Failing Linear Algebra:
Russell Blackadar
4/29/04
Read Re: Failing Linear Algebra:
Guest
1/10/07
Read Re: Failing Linear Algebra:
Russell Blackadar
1/10/07
Read Re: Failing Linear Algebra:
Russell Blackadar
4/28/04
Read Re: Failing Linear Algebra:
Guest
1/10/07
Read Re: Failing Linear Algebra:
David C. Ullrich
4/29/04
Read Re: Failing Linear Algebra:
Dave Rusin
4/28/04
Read Re: Failing Linear Algebra:
Guest
1/10/07
Read Re: Failing Linear Algebra:
Law Hiu Chung
1/10/07
Read Re: Failing Linear Algebra:
Dave Seaman
1/10/07
Read Re: Failing Linear Algebra:
Marc Olschok
1/10/07
Read Re: Failing Linear Algebra:
George Cox
4/28/04
Read Re: Failing Linear Algebra:
Guest
1/10/07
Read Re: Failing Linear Algebra:
Dave Rusin
4/28/04
Read Re: Failing Linear Algebra:
Lee Rudolph
4/28/04
Read Re: Failing Linear Algebra:
Guest
1/10/07
Read Re: Failing Linear Algebra:
Russell Blackadar
4/28/04
Read Re: Failing Linear Algebra:
Guest
1/10/07
Read Re: Failing Linear Algebra:
Marc Olschok
1/10/07
Read Re: Failing Linear Algebra:
Toni Lassila
4/29/04
Read Re: Failing Linear Algebra:
Guest
1/10/07
Read Re: Failing Linear Algebra:
M L
1/10/07
Read Re: Failing Linear Algebra:
Thomas Nordhaus
4/30/04
Read Re: Failing Linear Algebra:
Guest
1/10/07
Read Re: Failing Linear Algebra:
David C. Ullrich
1/10/07
Read Re: Failing Linear Algebra:
Toni Lassila
4/30/04
Read Re: Failing Linear Algebra:
Guest
1/10/07
Read Re: Failing Linear Algebra:
Russell Blackadar
4/30/04
Read Re: Failing Linear Algebra:
Russell Blackadar
5/1/04
Read Re: Failing Linear Algebra:
Russell Blackadar
1/10/07
Read Re: Failing Linear Algebra:
George Cox
1/10/07
Read Re: Failing Linear Algebra:
Marc Olschok
4/30/04
Read Re: Failing Linear Algebra:
Guest
4/30/04
Read Re: Failing Linear Algebra:
Guest
1/10/07
Read Re: Failing Linear Algebra:
Russell Blackadar
5/1/04
Read Re: Failing Linear Algebra:
Russell Blackadar
4/27/04
Read Re: Failing Linear Algebra:
Guest
1/10/07
Read Re: Failing Linear Algebra:
Thomas Nordhaus
1/10/07
Read Re: Failing Linear Algebra:
David C. Ullrich
1/10/07
Read Re: Failing Linear Algebra:
Dave Rusin
1/10/07
Read Re: Failing Linear Algebra:
David C. Ullrich
5/9/04
Read Re: Failing Linear Algebra:
James Dolan
5/10/04
Read Re: Failing Linear Algebra:
David C. Ullrich
5/10/04
Read Re: Failing Linear Algebra:
James Dolan
5/10/04
Read Re: Failing Linear Algebra:
David C. Ullrich
5/10/04
Read Re: Failing Linear Algebra:
Marc Olschok
5/10/04
Read Re: Failing Linear Algebra:
David C. Ullrich
4/27/04
Read Re: Failing Linear Algebra:
Guest
1/10/07
Read Re: Failing Linear Algebra:
Thomas Nordhaus
4/27/04
Read Re: Failing Linear Algebra:
Guest
1/10/07
Read Re: Failing Linear Algebra:
magidin@math.berkeley.edu
1/10/07
Read Re: Failing Linear Algebra:
David C. Ullrich
1/10/07
Read Re: Failing Linear Algebra:
Marc Olschok
1/10/07
Read Re: Failing Linear Algebra:
David C. Ullrich
1/10/07
Read Re: Failing Linear Algebra:
Tim Mellor
4/28/04
Read Re: Failing Linear Algebra:
Daniel Grubb
4/28/04
Read Re: Failing Linear Algebra:
Daniel Grubb
4/27/04
Read Re: Failing Linear Algebra:
Guest
1/10/07
Read Re: Failing Linear Algebra:
David C. Ullrich
4/28/04
Read Re: Failing Linear Algebra:
Dave Rusin
4/28/04
Read Re: Failing Linear Algebra:
Daniel Grubb
4/27/04
Read Re: Failing Linear Algebra:
Guest
1/10/07
Read Re: Failing Linear Algebra:
Marc Olschok
4/24/04
Read Re: Failing Linear Algebra:
Wayne Brown
4/24/04
Read Re: Failing Linear Algebra:
Thomas Nordhaus
4/24/04
Read Re: Failing Linear Algebra:
David Ames

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