After I passed the basic exams of the bachelor in mathematics at the ETH Zurich, I publish here the summaries which I used during the tests.
These summaries are written in german. But they might be useful to you even if you don't understand german.
All those summaries are public domain. This means you can do with them whatever you want. (To be more precise: All resources under http://www.andonyar.com/rec/2006-10/zf_2006_herbst/ are public domain.)
Most of the summaries had to be written by hand. Thats the reason, why you find them here as PNG files. I simply scanned them in. (I don't have the time nor motivation to write them for example in LaTeX.)a/pA
Warning: There is no warranty that this content is fully correct!
I am Urs Holzer and my email adress is urs@andonyar.com.Though everything here is ready to download and print, you should compose and write your summaries yourself.
Some students write their summary like this: They split each page into three columns. Then they start to write very small: "Be omega in R, U subset of omaga, compact ...". Such a summary won't be useful. A summary should be written big and clearly. Don't put the obvious and things you completely don't understand into the summary. Details about which no one cares during the test shouldn't be their either.
Ok, here the summaries of the five subjects:
We were allowed to take whith us a summary of 20 pages. Some pages are missing in the list below. Those pages were blank.
Here too, 20 pages written by hand. Again, the missing files are blank pages.
For this test, we were allowed to take with us our notes from the lecture, the script from the professor, all exercises and their solutions and a summary. The summary is what I give you here. It didn't need to be written by hand, so it is here as LaTeX or PDF.
We weren't allowed to take anything with us for this test. (Except brain, body and soul)
I got a bad mark in this test and I didn't like this lecture. My summary is most probably as bad as the mark I got. Anyway, here it is. It spans 10 pages.
Have fun!