I'm applying for a PhD in engineering and I was asked by the advisor I have chosen to write down a short program (~10 pages) about the "research" I will conduct if I get into the PhD program.
The advisor provided ten choices where the future PhD program will lay. The topics are very large and well studied in the literature. Our "task" is to choose one of them, find out something "new" inside of this big sea and write it down. I did a lot of research on Scholar and downloaded more or less 20 free papers I found interesting. I collected data and results, thought a bit about the problem and found a ( maybe ) new application that fits my interests and past studies and I think it could bring some novelty in the field I'm applying.
Now my question is, which is the best way to format the proposal?
- Should I start with the context of the research, point where previous studies went and what kind of results yielded and now focus on my brand new idea?
- Should I skip 1) and start in medias res with the heart of the matter?