I'm a undergraduate student in mathematics and I'm applying for a scientific-initiation (or maybe undergraduate-research) scholarship in which I'll study a certain topic in mathematics (so I'll not really do any research, despite the name of the program).
To enroll in the program, I have to submit an eight-page project describing what I'm going to do, with a schedule for the duration of the program, methodologies, and references. Formally, the project text must contain a summary, introduction, objectives, methods (or methodology), a schedule of activities, and references.
For the methodology/methods, I'll just say what I'll do: read the theory in the main reference text, maybe rephrase some definitions or results and make some additional remarks, do the exercises, maybe construct some new examples/counterexamples. I think it's a bit too direct but I'm not very concerned with this part. The same applies to the references.
My problem is: I don't have any knowledge of the subject (beyond the very basic) I'm going to study (and don't have time to further study it until the deliver of this document), so I don't know what to say in most of this document sections. I'll just pick a book on the subject and study it. In the summary, I quite already said that, and I don't really know what to write in the introduction and objectives.
I'm a bit concerned of talking about this to my advisor, because we already talked and it seemed clear that I should write the document all by myself. Maybe it's just me not being able to write down some very simple things of what I'm going to do.