Fall 2010
MATH 504: Abstract linear algebra
Branko Ćurgus

Thursday, October 7, 2010

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The file that I posted on Tuesday had many typos.
• Here is a corrected version. The version stamp is 201010111855. (All links below now lead to this version.) Here is a TeX file which produced the above pdf file.

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Tuesday, October 5, 2010

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• Here is again a new version of the notes on bases. The version stamp is 201010052029. (All links below now lead to this version.) I split the note into sections, added new proofs and propositions and reordered some material. As before if you find an error please report it to me. Here is a TeX file which produced the above pdf file.

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Friday, October 1, 2010

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• Here is a new version of my notes on bases of finite dimensional vector spaces. The version stamp is 201010041005. (All links below now lead to this version.) As before if you find an error please report it to me. I will give extra credit for each report. The extra credit will vary with the nature of the reported error.


• Here is a TeX file which produced the above pdf file.
• We are almost done with Chapter 2. Read the whole chapter and try all the exercises. If you encounter a particularly interesting exercise feel free to suggest that we discuss it in class.

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Wednesday, September 29, 2010

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• Here is a pdf file (version 201009302117) with formal proofs of statements from the book that I consider not to be proved formally. Read both the book and my notes and find the corresponding statements. On exams I expect you to be able to present formal proofs. I expect that the file that I am posting has errors. If you find an error please report it to me. I will give extra credit for each report. The extra credit will vary with the nature of the reported error.


• Here is a TeX file which produced the above pdf file.

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Thursday, September 23, 2010

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• Axioms of a vector space


• This is the LaTeX file that I used to produce Axioms.pdf. Right-click on the underlined word "This"; in the pop-up menu that appears, your browser will offer you to save the file in your directory. Make sure that you save it with the exactly same name, Axioms.TeX. After saving the file you can open it with WinEdt.


• After saving the file you can open it with WinEdt. You need to find a campus computer with WinEdt installed on it (for example all computers in BH 215). You will find WinEdt as follows (this sequence might differ on different campus computers) Start -> Programs -> Math Applications -> WinEdt Open WinEdt first, then open Axioms.TeX from WinEdt. File -> Open -> (then find Axioms.TeX in your directory)


• Now you are in WinEdt with Axioms.TeX opened.
  • Below the WinEdt drop down menu items there is a WinEdt tool bar with many icons. Identify this tool bar.
  • Click LaTeX icon on the tool bar to compile the file that you opened. (A shortcut for this is Shif+Ctrl+L)
  • After the file has been compiled click DVI icon on the tool bar. (There are two DVI icons, click one without an arrow. A shortcut for this is Shif+Ctrl+V) Now you will see a dvi file of the LaTeX file that you opened.
  • To make a pdf file click dvi-pdf on the tool bar. This will automatically make and open a pdf file.
  • There is a more direct way to make a pdf file. Just click pdf-LaTeX icon on the tool bar. This will compile the TeX file to a pdf file. To open this pdf file click on the Acrobat icon on the tool bar.


• There is an abundance of information about LaTeX on the web. Here are a few sites to start with.
  • Introduction from LaTeX project site.
  • LaTeX for Complete Novices by Nicola L. C. Talbot.
  • LaTeX help from NASA.
  • A LaTeX introduction from Tobias Oetiker site (a pdf file).
  • More math into LaTeX a LaTeX book available online from Springer.
  If you have a problem ask me or any LaTeX enthusiast. Also, keep on googleing and you will find a site that will answer your question.

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Wednesday, September 22, 2010

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• The information sheet

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