## Some information about the exam

Examinable is all the content of the lecture notes, provided that it is discussed
in the lectures, and of all the exercise sheets (even if not discussed in the
problem classes). In the exam, you may be expected to
- state definitions, theorem, propositions, lemmas, or corollaries,
- solve any of the problems from the exercise sheets,
- give any of the proofs seen in the lectures,
- give examples of the concepts seen in the lectures,
- solve some unseen problems (to a limited extent, as this sort of problem will mostly be used to identify a first class performance).

Definitions and statements of theorems, propositions, lemmas, or corollaries need
*not* be formulated in a specific way, but should be equivalent to the versions seen in
the course. In theorems, propositions, lemmas, or corollaries, you must give both the
hypothesis and the conclusion, and you must clearly distinguish between
the two.

In proofs, you should above all convey the underlying ideas, but for full marks,
correct reasoning is required. Take the lecture notes as an example for the level
of detail expected; sometimes you don't need to give all the details, especially
for routine calculations, but you should still mention these statements.

As this is a new unit, there are no past exam papers available from the library.
However, you will find many questions in past exam papers for MA30041 (Metric Spaces)
and MA40043 (Real & Abstract Analysis) that are suitable to test your level of
preparation for this unit. A selection of questions mostly from these past exam papers
are collected in a mock exam available here.
Solutions are available here.
(I do not recommend that you rely on past exam papers for
studying the subject, as they are not designed for this purpose, but they may be
useful to test yourself.)