We hope it went well for youse all.
There’s not too much to say generally about the exam. As with the Methods exams, it was probably too easy. There’s a couple clunks, but no major issues, and the wording was in general reasonable. Here’s our question by question thoughts.
Q2. Routine. The instruction to “Give your answer in the form y = f(x)” is poor wording.
Q3. Stats crap. I don’t do stats crap. Commenters have noted that the careless use of “mean time” to refer to the sample mean, which will probably have led some students into error. (11/11/22 We’ve decided this is bad enough to have earned its own PoSWW.)
Q4. Not a good question. The partial fractions are simple enough to do by inspection, or by the wrong set-up.
Q5. A routine (and depressingly simple) inclined plane problem. Part (b) is boring and pointless, with very poor wording. In particular, it is unclear whether the direction of the force is required, or just the magnitude: if “finding the value of R” is any different from finding R, God knows why.
Q6. Calvin Trillin used to joke about a generic restaurant being named La Maison de la Casa House. He would be delighted with the expression “vector scalar (dot) product”.
Using the term a as a vector in part (a) and as an unrelated scalar in part (b) is, um, stupid. Part (b)(i) is poorly worded, since the vectors can also be expressed without y. Part (b)(ii) would have been better worded as a straight proof question.
Q7. The computations were pretty heavy, and didn’t test much for the effort. The final required form takes work, is unnatural, and there
are infinitely many answers (07/11/22) is more than one answer of the required form.
Q8. A poor question, wordy simply for the sake of being wordy.
Q9. A too-simple initial value problem, weirdly and needlessly phrased with function notation.
Q10. Part (a) seems a pointlessly easy trig graph. Part (b) is then an ok volume of revolution, although requiring tan(π/12) without warning is surprising. Asking for the answer in the form (a-√b)π/c, with a, b and c real, is obviously absurd.