Lecture 10
GO TO:
Before the Lecture
- Read Sections 4.4 and 4.6. (Note: Look at the
section Outcomes to see what you are
expected to get from the reading, perhaps after also some in class
help.)
- Watch the videos related to these sections (after reading them):
- Write down all questions about the above topics to bring to our
(online) lecture. Comments about the videos are welcome!
You can also post questions you'd like us to discuss
on
- Piazza. Just
make sure to choose the correct folder (in Piazza) for the lecture.
- Work on the assigned problems for these sections.
(See Related Problems below.) You don't need
to finish them, but try to work on as many as you can and the bring
your questions to class.
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Related Problems
All of these are to be turned in on 06/22 (Homework 6) by
11:59.
Section 4.4: Turn in: 6, 22. Discuss in Meeting:
2, 3, 9, 15.
Section 4.6: Turn in: 13, 20. Discuss in Meeting:
4, 8, 16.
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In Class
In class:
- We will discuss the reading and pace.
- I will discuss the main points.
- I will answer questions about the sections covered.
- I will answer any other questions.
- We can work on the HW problems.
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Outcomes
After the assignment (reading and videos before class) and class,
you should:
- know what an antisymmetric relation is;
- know what are total and partial orders (and their
difference);
- know what least/greatest (or smallest/largest) and
minimal/maximal elements are (and their difference);
- know what upper/lower bound are;
- know what greatest lower bound and least upper bound
are;
- know what equivalence relation and equivalency class
are;
- know what a partition is;
- know the relation between partitions and equivalence
relations;
- know what are congruences modulo $n$ (as in $a \equiv b
\pmod{n}$).
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