 Discrete Mathematics, Continuous Mathematics and Probability examination paper by the University of Oxford (2014)

The ten-page University of Oxford Computer Science Prelims paper dated 26 June 2014. The public released examination archive contains it as 4223.pdf. Question 1's displayed function requires a domain restriction. Question 3's fractional-size recurrence relation needs a base case and an integer-rounding convention. Question 6's parameter range includes negative values, so the critical-point classification requires a split at $\alpha =-1$ as well as $\alpha =1$; its final derivative request also has a typographical superscript on $f$. These points were checked against printed pp. 2, 4 and 7.