Section H.2 Student questions
Here I will attempt to record questions I have been asked about the exam, and summarise (idealised versions of) what my answers were at the time. I will omit questions/answers that are purely rehashing other parts of this appendix. Some questions and answers from previous years are also included.
Question H.3.
How examinable is this new Section 1.8? We will need to come up with clever bijections to show that two sets have the same cardinality?
Question H.4. (Copied from last year).
How does the difficulty of the exam compare to the problem sheets?
Question H.5. (Copied from last year).
Could Exercise 4.3.3 have been an exam question?
Question H.6. (Copied from last year).
Can we skip ‘similar’ arguments?
Question H.7. (Copied from last year).
How specific do we have to be when referencing things from lectures?
Question H.8. (Copied from last year).
Suppose that we were unable to do part (c) of some exam question. Could we still use the conclusion of that part in our solution to part (d)? What about using the conclusion of part (d) in our answer to part (c)?
Question H.9. (Copied from last year).
Are parts of exam questions always sorted by difficulty?
Question H.10. (Copied from last year).
What does \(p(\sin t)\) mean on the 2023 exam?
Question H.11. (Copied from last year).
If a result (theorem, lemma, etc.) doesn’t have a name, does that mean we can’t be asked to state it?
Question H.12. (Copied from last year).
I noticed in Subsection H.1.1 that the problem sheets are examinable. Should I memorise all of the results in the problem sheets?
Question H.13.
The second official solution to Exercise 1.4.2 uses the fact that a point \(x\) lies in the closure of a set \(S\) if and only if there exists a sequence \(\seq xn\) in \(S\) converging to \(x\text{.}\) Are we allowed to use this on the exam?
Question H.14. In class on 8 January.
Are we allowed to use shorthand on the exam, e.g. “seq.” for “sequence”?
Question H.15. In class on 8 January.
Which is more important for revision, problem sheets or past exams?
Question H.16. In class on 8 January.
Will there be questions on the exam where we are given some new example we have never seen before and asked to prove things about it?
Question H.17. Email on 8 January.
Is the sort of recursive proof strategy in Exercise 1.3.6 something that could appear on the exam?
Question H.18. Email on 12 January.
What is the general format of the exam?
