 Calculus, probability, linear algebra, discrete mathematics, logic and proof, and models of computation examination paper by the University of Oxford (2003)

Original seven-page Preliminary Examination in computer science, Long Vacation, 25 September 2003. Released in the examination archive, member 4214-1.pdf. The printed cover identifies Paper 2. Question 7's definition of a directed set does not exclude the empty set; under that convention its completeness assumption also requires a least element.