Reddit reviews Manual de fonética y fonología españolas (Routledge Introductions to Spanish Language and Linguistics) (Spanish Edition)
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Going off of what others have said regarding finding syllabi, I don't think you'll find an online Introduction to Hispanic/Spanish Linguistics course. As a doctoral student, wouldn't you be comfortable with some introductory texts on the subject?
While I think the materials /u/patricks12345 are good, I don't think they are actually introductory. There are some good (or at least, often used) texts that I've seen/used:
https://www.amazon.com/Introducción-sociolingüística-hispánica-Manuel-Diaz-Campos/dp/0470658029/
https://www.amazon.com/Spanish-English-Contrasts-Course-Linguistics/dp/0878403817/
https://www.amazon.com/Introducción-Lingüística-Hispánica-Ignacio-Hualde/dp/0521513987/
https://www.amazon.com/Introducción-lingüística-española-Milton-Azevedo/dp/0134840313/
https://www.amazon.com/Introduccion-Linguistica-Espanola-3rd-Spanish/dp/0205647049/
There are also books on specific subfields that can follow up to these, just as normal textbooks do for "basic/general" linguistics.
https://www.amazon.com/Fonetica-Fonologia-Espanolas-Teoria-Practica/dp/047130946X/
https://www.amazon.com/fonología-españolas-Routledge-Introductions-Linguistics/dp/1138684007/
https://www.amazon.com/Fonética-fonología-espanolas-Armin-Schwegler/dp/0471466492/
https://www.amazon.com/Los-sonidos-del-espanol-Language/dp/0521168236/
https://www.amazon.com/Sintaxis-y-morfología-lengua-española/dp/0131899198/
https://www.amazon.com/Fundamentos-teóricos-prácticos-historia-española/dp/030017098X/
https://www.amazon.com/Breve-historia-lengua-española-revisada/dp/022613377X/