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Partial Ordering is a way of structuring a set that has a relation defined on it. x divides y and x is less than or equal to y are examples of partial orderings.

In this video, I touch on all of the basics of partial orders: definitions, examples, comparable elements, minimal and maximal elements and Hasse diagrams. This video should give you the conceptual background and vocabulary to deal with and discuss partial orderings on relations.
00:00 Introduction
00:12 Defining the Partial Order
00:59 Review of Properties
01:43 Example 1: Digraph
02:33 Example 2: Ordered pairs
03:34 Math Example 1
04:54 Example 3: Math2
06:16 Definition: Comparable
07:39 Minimal and Maximal Elements
09:06 Minimal and Maximal Elements: Examples
12:13 Hasse Diagrams
13:11 Hasse Diagram: Example 2
14:59 Hasse Diagram: Example 2
17:35 Review