*** WELCOME TO INFI 3 ***
October 2004
We wish you a very pleasant, interesting and successful semester.
.To go to the official website for this course click here.
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20.4.05 Here is a picture from my lecture of 27/10/04 which, by mistake, was not put on the CD that is available in the Mathematics library. As its name suggests, it should come between the pictures I3030127.JPG and I3030129.JPG in the directory of pictures for October 2004.
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19.3.05 Here is the questionnaire for the examination of 6/3/05. I have not prepared a formal solution of it, but will be happy to answer your questions about the questions.
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1.3.05 Here is a solution for the examination of 17/2/05.
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22.2.05 Here is a compact version of the examination of 17/2/05. “Compact” simply means that the same questions have been squeezed into a smaller number of pages by removing or compressing things which are not necessary when you are not actually doing the examination. (It is a pity to waste paper and trees.)
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1/2/2005 Oops, there was yet another small correction to the fourth set of homework exercises. This has now been fixed (and also explained in an email message.)
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24.1.2005 The fourth set of “paper” homework exercises, has now been slightly revised. The only changes are in Question 3, They are small changes in the notation. More explanations have been given in an email message.
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19.1.2005 The fourth set of “paper” homework exercises is now here. Please submit your solution on or before 6/2/05 if you want feedback. You should receive your corrected solutions by some time on 10/2/05. We chose a relatively late date to give you some time and flexibility but PLEASE begin preparing for the examination well before 6/2/05.
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17.1.2005 I have updated the CD with pictures of the blackboards (and whiteboards) from the lectures up to and including yesterday’s lecture. I have also included a copy of my old handwritten notes from a different course, which may provide some additional more geometric and more intuitive points of view for some of the topics of this course, e.g. Lagrange multipliers. See here for more details.
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3.01.05 Here is a new version of brief notes about classification of critical points using second derivatives.
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26.12.04 The third set of “paper” homework exercises is now here. If you want us to look at your solutions and give some feedback about them, please submit them by 9.1.05. (If more of you had done the first and second set of exercises and gotten feedback on them, perhaps more of you would have been better prepared for the bakhan.)
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9.12.04 You can see a solution of Sunday’s bakhan here. I thank Sedi for very much help in its preparation.
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1.12.04 The bakhan will be on Sunday, 5/12/2004 at 16:30 in Amado 233. Bhatzlakha!!
I have updated the CD in the mathematics library to include pictures from all lectures up to today’s.
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25.11.04 Three things today:
* The topics that you have to know for the bakhan include the open mapping theorem and everything before it, including also of course exercises on all these topics. (For more details about this see the email that I sent today.) BHATZLAKHA!!
* You can look at jpeg files of the blackboards during all my lectures so far on a CD which you can borrow from the mathematics library like a reserve book. (Maybe you can also simply view these files in the library itself using one of the computers there.) Please remember that of course there are also things which I said in lectures but did not write on the board.
* And here are some hints for Question 5 of Homework Exercises #1.
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19.11.04 The second set of “paper” homework exercises is now here. If you want us to look at your solutions and give some feedback about them, please submit them by 30.11.04. To see in advance some of the material which will be discussed next week (differentiability of inverse mappings etc.) click here (3 pages).
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17.11.04 Here are some notes about implicit functions. (This is a newer version, revised again on 12.12.04, of notes which appeared on my earlier sites.)
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8.11.04 The first set of “paper” homework exercises is now here. If you want us to look at your solutions and give some feedback about them, please submit them by 23.11.04
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28.10.04 Two things today: (1) Some basic exercises about topology in R^n and “cubes” etc. in R^n are here. The 5 exercises on the first page, numbered (i) to (v) are not hard, but I strongly recommend doing them. The second page, for anyone who is interested, is a reminder about the Cauchy-Schwartz inequality and how it leads to the triangle inequality for d(x,y) .)
(2) The date which we have been given for our mid term test (Bachan) is Sunday, December 5, 2004. It will be some time in the afternoon. We will be told the exact time later.
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26.10.04 Please click here for VERY IMPORTANT information about (1) the format of the tests/exams, (2) the calculation of your tsiyun sofi, (3) homework exercises, (4) miluim during the semester or test or exam, (5) students with learning disabilities.
26.10.04 Here is a proof (revised version) of the theorem describing compact subsets of R^n.
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26.10.04 Information about your teachers and how to contact them is here.
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Some of my old webpages for Infi 3 from some years ago can be viewed here (Oct. 2001), and here (March 2001).
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