IMPORTANT LINKS:
Homework assignment No. 1, due on Wednesday September 11.
Homework assignment No. 2, due on Wednesday September 18.
Homework assignment No. 3, due on Monday September 30.
Homework assignment No. 4, due on Wednesday October 9.
This assignment was originally due on Monday October 7, but the deadline
has been moved to Wednesday October 9.
Homework assignment No. 5, due on Monday October 28.
Homework assignment No. 6, due on Wednesday November 13.
This assignment was originally due on Monday November 11, but the deadline
has been changed. The new deadline is Wednesday November 13.
Homework assignment No. 7, due on Wednesday November 20.
In this new version, posted on 11/19/2019, an important mistake in
Problem 5 has been corrected.
Homework assignment No. 8, due on Wednesday December 2.
Lecture notes, version of December 11, 2019.
This is the final version of the notes. It contains a lot of new material,
especially what was covered in the last two lectures of the course, on
relations, functions, bijections, cardinality, finite and infinite sets,
and Cantor's theorem. I regret that this final version still has lots of
typos, but I believe it is clear enough for you be able to read it.
Lecture notes, version of November 24, 2019.
This version is superseded by the one of December 11.
Lecture notes, version of November 10, 2019.
This version is superseded by the one of November 24.
It is nearly identical to the one of November 4, except for the
fact that a couple of typos in the statement of Problem 76 have been corrected.
Lecture notes, version of November 4, 2019.
This version is superseded by the one of November 10. (The only change
from the Nov. 4 version to the Nov. 10 one is that I have corrected
a couple of typos in the statement of Problem 76.)
This version contains all the material of the seven previous
versions, plus a lot of new stuff. In particular, this new version contains
two chapters explaining other forms of induction, such as
generalized induction, and induction going forward and backward.
And it differs from the October 29 version in that in this version I have
incuded the proof of the existence part of the division theorem that
was discussed in class on Monday November 4.
Lecture notes, version of October 29, 2019.
This version is superseded by the one of November 4.
Lecture notes, version of October 19, 2019.
This version is superseded by the one of October 29.
Lecture notes, version of October 6, 2019.
This version is superseded by the one of October 19.
Lecture notes, version of September 22, 2019.
This version is superseded by the one of October 6.
Lecture notes, version of September 13, 2019.
This version is superseded by the one of September 22.
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