GRE Math Subject Test case studies
GRE Math Subject Test · Put your knowledge to work in context.
The GRE Subject Tests are a family of graduate-admissions assessments produced by ETS, the organization behind the GRE General Test. ETS describes this line of products as measuring critical skills for success in thousands of graduate programs, and it lists the GRE Subject Tests alongside the GRE General Test under graduate admissions. The GRE Math Subject Test case studies are 5 cases and about 1,894 words.
1Matching Levels and Slopes in a Piecewise Tracer Model
An environmental engineer models the concentration f(t) of a tracer in a flow chamber for 0 ≤ t ≤ 2 minutes. Measurements suggest f(t)=t^2+t+b for 0≤t<1 and f(t)=c√t+d for 1≤t≤2, with d=0 fixed by calibration.
306 words, about 2 min2A Parameterized Transition Matrix That Refuses to Diagonalize
A forecasting team uses a three-state transition matrix A t = [[2,1,0],[0,t,1],[0,0,2]] to project annual changes among three categories. The parameter t is a policy lever that can be any real number.
442 words, about 2 min3Two Positive Screens for a Rare Condition
A public-health team screens 100,000 people for a rare condition. The prevalence is 0.4%, so about 400 have the condition.
383 words, about 2 min4Pointwise Limit Versus Integral Limit for a Density Approximation
The plan is to treat the pointwise limit as the true density and to estimate total mass by lim {n→∞} ∫ 0^1 f n(x) dx. A reviewer objects that pointwise convergence is not enough to justify exchanging limit and integral.
348 words, about 2 min5Three-Channel Assignment on a Coupled Interference Graph
A regional wireless board must assign one of three channels to each of six transmitters A, B, C, D, E, F. Interference occurs along the links AB, BC, CD, DE, EF, FA, plus the additional links AC and DF.
415 words, about 2 min