Thematic analysis of text sources is rare, and I suspect your data would be too "thin" for that method.

You may want to consider critical discourse analysis, if you are interested in language use, power dynamics, social practices as evident in texts. With critical discourse analysis, you will sample segments of texts from the syllabus and perform detailed inter/textual analysis. There are different approaches to doing CDA though, a simple search and a bit of reading will help you to locate good resources for that. Some of the scholars you might want to search are Ruth Wodak, Michael Meyer, van Dijk, etc.

Can you look for themes? Sure. Thematic analysis can be used. Obviously your data can be "thin," but a well structured sample can improve validity and reliability. Often we think there's only Braun and Clarke, but Muir and Fereday provide a competing perspective. Boyatzis also used thematic analysis with documents. Here my recommendation: Be pragmatic. Thematic analysis is adaptable to most any situation. (Note Muir/Friday used thematic analysis with documents as well as Boyatzis.)

Fereday, J., & Muir-Cochrane, E. (2006). Demonstrating rigor using thematic analysis: A hybrid approach of inductive and deductive coding and theme development. International journal of qualitative methods, 5(1), 80-92.

What is the purpose of your study? In course development, analyzing the themes of a text in relation to the General Areas of Competency of the course syllabus is definitely the way to go, if your purpose is to choose the most appropriate for use in a course.

Yes that's exactly what I wanted to know. Thank you very much for considering my question. That is very kind of you ☺️