Dear Math community,
I have some general questions on Sturm-Liouville theory. We are planning to introduce a graduate course on Sturm-Liouville theory and every one has been asked to propose topics which might be suitable for the course.
I would like to know the following.
Is it worth to have a course exclusively on just Sturm-Liouville theory?
If we have a course like that what are the topics that could be introduced in the course?
Would it be possible for an exclusive course on sturm-liouville theory without much background in functional analysis.
Any suggestions would be really appreciated.