IMPORTANT LINKS:
The final exam. The exam consists of four
problems. You must submit your answers not later than December 20,
at 11:59 PM, by emailing
them to hectorjsussmann@gmail.com
The midterm exam. The exam consists of three
problems. You must submit your answers not later than October 19,
at 11:59 PM, by emailing
them to hectorjsussmann@gmail.com
How to write mathematics, by Paul Halmos. This is a famous
essay by a very important mathematician who was also a great writer of
mathematics. IT'S A MUST READ.
This version was posted on 9/20, and supersedes the previous version.
The earlier version had at least two mistakes: in Question 2 of Problem 2,
and in Question 3, two items were repeated. In the new version these
mistakes have been corrected.
(This version was posted on Tuesday October 26 at 3:00PM, and supersedes the
previous versions. In this version, several errors that appeared in the
previous versions have been corrected.)
(This version was posted on Wednesday November 3 at 4:00pm, and supersedes
all the previous versions. In this version, a serious mistake that appeared
in the previous versions (in Formula (6)) has been corrected.)
(This version was posted on Tuesday November 9 at 2:00pm, and supersedes
all previous versions. In this version, I have made the hint for
Problem 5 better by adding a few more details, and I have corrected
a couple of typos.)
(This version was posted on Thursday December 2 at 10:50am. It's identical
to the previous version, except that one important typo, in question 11 of
Probblem 3, has been corrected: where it read "AcupB", now it says "A∪B".)
(NOTE: These notes are under construction. This means that they will change
several times during the semester. The current version is dated September
1, 2021. It will be superseded every time we post a new version.)
(This contains the slides of the first lecture of the course.) This
version was posted on 9/4/21, and supersedes all previous versions. Even
if you have read one of the previous versions, you should read this one,
because the previous versions contained several typos and even a couple
of serious mistakes, most of which have been corrected in this version.
(This contains the slides of the second lecture of the course.)
(This contains the slides of the third lecture of the course.)
(This contains the slides of the fourth lecture of the course.)
(This contains the slides of the fifth lecture of the course.)
(This contains the slides of the sixth lecture of the course.)
(This contains the slides of the seventh lecture of the course.)
This is a corrected and improved version, posted on September 25.
This version supersedes the previous version that had been posted on
September 24. You should disregard the previous version, and
always refer to this version instead.
(This contains the slides of the eighth lecture of the course.)
(This contains the slides of the ninth lecture of the course.)
(This contains the slides of the tenth lecture of the course.)
(This contains the slides of the eleventh lecture of the course.)
(This contains the slides of the twelfth lecture of the course.)
(This contains the slides of the thirteenth lecture of the course.)
(This contains the slides of the fourteenth lecture of the course.)
(This contains the slides of the fifteenth lecture of the course.)
(This contains the slides of the sixteenth lecture of the course.)
(This contains the slides of the seventeenth lecture of the course.)
(This contains the slides of the eighteenth lecture of the course.)
(This contains the slides of the nineteenth lecture of the course.)
(This contains the slides of the twentieth and twenty-first lectures of the course.)
(This contains the slides of the twenty-second lecture of the course.)
(This contains the slides of the twenty-third lecture of the course. This
is a preliminary version, probably full of typos. A corrected version will be
posted later.)
(This contains the slides of the twenty-fourth lecture of the course. This
is a preliminary version, probably full of typos. A corrected version will be
posted later.)
(This contains the slides of the twenty-fifth and twenty-sixth
lectures of the course. This
is a preliminary version, probably full of typos. A corrected version will be
posted later.)
(This contains the slides of the twenty-seventh
lecture of the course. This
is a preliminary version, probably full of typos. A corrected version will be
posted later.)
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