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Indeed, starting to learn LaTeX well before you actually want to write is a very good idea. Include an introduction that explains what the project is all about, and what its contents are.
Your writing should conform to the highest standards of English. Many math faculty are now required, or at least strongly encouraged, to mentor in undergraduate research if they expect to get tenure.
Most students see their supervisor about once a week, although this is usually open to negotiation between the student and the supervisor. The first chapter is largely a recapitulation of known results which I have learnt from Dr Aitken, here arranged for convenience of reference later in the thesis.
Allied sets in linear spaces, 17 3.