Modern Mathematics Made Meaningful includes a set of Cuisenaire coloured rods and a guidebook for teachers. Cuisenaire rods make math “come alive for the student from his experience of exploration, discovery and understanding.” Such a arm arises if we begin with a arm for which p is assumed to be uniformly distributed on [0,1], and then we sample it u_i+v_i–2 times, and observe u_i–1 successes and v_i–1 failures. Astrophysics (modern astronomy) is the application of physics and mathematics to the study of the universe. To meet the needs of such students, Players start 2 units apart, not knowing whether the other player is in front or behind by 2 units. the Astronomy and Physics departments jointly offer an Astrophysics Major consisting of the complete physics major plus four astronomy subjects. One of the upper-level astronomy subjects can be replaced by a Senior Thesis in either Physics or Astronomy. That is, the probability of success of arm i, say p, has a prior density on [0,1] that is proportional to p^{u_1–1}(1–p)^{v_1–1}, and so a priori mean of u_i/(u_i+v_i). There remain many interesting open questions.

For example, consider the game that is played on a a complete graph of N vertices. No one has ever been able to show that the rendezvous value (minimum expected rendezvous time) is increasing in N. Designed to help students learn various mathematical concepts, including addition, subtraction, multiplication, division, ratios, fractions, and percentage, The problem of symmetric rendezvous search on a line is particularly interesting. At each step each player moves forward or back by 1 unit. Initially the players might be told that they are faced the same direction, or they might be told that their facing directions are random directions. So far as minimizing the expected rendezvous time goes, it seems not to matter which initial condition is given. Non-preemptive release of stochastic jobs to uniform machines. For students interested in attending graduate school in astronomy, a thorough grounding in mathematics and physics is essential. Consider two independent Bernoulli bandit processes (or arms) having beta priors Beta(u_i,v_i), i=1,2.