Math 361, Section 1: Set Theory
"Introduction to concepts and tools used in abstract mathematics.
Emphasis on writing of proofs. Elementary logic and set theory, formal
axiom systems, transfinite numbers, the real number system, and the
foundations of mathematics." (Taken from the undergraduate catalog.)
The schedule will have a list of
topics, organized by week. The assigned homework will be added as the
||saulsch at math dot rutgers dot edu
||MW 11:00am to 12noon
Attendance will not be taken.
The suggested text for this course, by Herbert B. Enderton, is titled
of set theory. (Warning: the AddAll webpage takes some time
to load.) I intend to follow notes by Professor Simon Thomas instead
of following the book, however.
Another reference which you may find useful is Paul Halmos' book Naive
As one has come to expect, various on-line resources on every
subject, and hence on set theory, are
available. These range all the way from pages at Wikipedia to heady discussions of
Please remember, however, that any material that you copy or
paraphrase from a book, the web, a classmate, a professor, etc
should be correctly cited. If you are unsure how to do this correctly
please ask me in person or via email. For a relevant discussion of
what constitutes plagiarism please consult the Rutgers Academic Integrity
See the schedule for the weekly
list of homework problems. These are due at the beginning of
the lecture one week after they are assigned. Your two lowest
homework scores will be dropped. Late work will not be accepted.
Exams are closed book. No calculators are allowed. You may,
however, bring a single (two-sided) sheet of paper with whatever
material on it that you desire. You may also use a ruler. For any
problem on the exam which is left completely blank (except for
possibly the phrase "I don't know.") you will receive 25% of the
There will be two midterms and a final. See the schedule for dates. At least one-third
of the problems on each midterm will be taken from the homework.
The final score is composed of 20% for homework, 20% for each midterm,
and 40% for the final. Grades will be assigned on a curve, modified
by common sense: if every student does well every student will receive
a good grade.
Please tell me in person, or via email, about any errors on this
website or made (by me!) in class.