This post provides a number of sample syllabi used to teach the Letters to Timothy and Titus at various levels, listed chronologically. All of these examples were either available online (where we link to a pdf of the syllabus, not the online location) or provided by the professor. We will update this post over time as we come across other syllabi. (On a related note, class notes from Michael Theobald, Eberhard Karls Universität Tübingen (2010) are available here).
Please drop me a note on my Academia page if you would like to contribute your syllabus for posting here as well.