There isn't actually a whole lot to this section this is mainly here thus we can get several basic concepts and definitions out of the way. Most of the concepts and definitions introduced here can be introduced without any actual knowledge of how to resolve differential equations. Most of them are terms that we will use during a class so getting them out of the way right at the stating is a good idea.
Throughout an actual class I tend to hold off on a couple of the definitions and introduce them on a later point while we actually start resolving differential equations. The purpose for this is mostly a time issue. Under this class time is generally at a premium and several of the definitions/concepts need a differential equation or/and its solution consequently I use the first couple differential equations which we will resolve to introduce the definition or concept.
Now there is a quick list of the topics in this section.
Definitions: Some of the general definitions and concepts in a differential equations course
Direction Fields: An introduction to direction fields and what they can tell us regarding the solution to a differential equation.
Final Thoughts: A couple of ultimate thoughts on what we'll be looking at during this course.