Academics are supposed to be an expert in their field and should have a firm grasp on their subject of research. For example, my research is focused on Computational fluid dynamics (CFD) and using finite volume method is my bread and butter. However due to various error in decision making, I never took a course on the subject. I just had an introductory course on transport phenomena and actual numerical method knowledge was acquired while pursuing research on a very practical basis.
My applied research involves using fluent software and I am able to produce decent publications using the software.
Now, as a faculty member, I am supposed to teach CFD to undergrad and graduate students.
How do I address my lack of structured fundamental knowledge on the topic? I will have to start teaching from next semester and I have the course material from a previous instructor, but I am clueless about half of the stuff as that never came across during my research. Also, it's mathematics heavy, I did not come across that in my research papers.
Do I take up the recommended book and study the entire thing, solving selected examples over the course of one month. Or any other way to expedite the process? Please advise.