JACKKNIFE in Statistics. David (1995) gives Rupert G. Miller’s "A Trustworthy Jackknife," Annals of Mathematical Statistics, 35 (1964), 1594-1605 as the first published use of the term. Miller explains that John W. Tukey had adopted the term because "a boy-scout's jackknife is symbolic of a rough-and-ready instrument capable of being utilized in all contingencies and emergencies." M. H. Quenouille, in "Notes on Bias in Estimation" Biometrika, 43, (1956), 353-360, had written colourlessly of a procedure for supplying "an approximate correction for bias" [John Aldrich].
The term JACOBIAN was coined by James J. Sylvester (1814-1897), who used the term in 1852 in The Cambridge & Dublin Mathematical Journal.
Sylvester also used the word in 1853 Philosophical Transactions of the Royal Society of London, CXLIII, Part III, pp. 407-548: "In Arts. 65, 66, I consider the relation of the Bezoutiant to the differential determinant, so called by Jacobi, but which for greater brevity I call the Jacobian."
JERK was used by J. S. Beggs in 1955 in Mechanism iv. 122: "Since the forces to produce accelerations must arise from strains in the materials of the system, the rate of change of acceleration, or jerk, is important" (OED2).
JORDAN CURVE appears in W. F. Osgood, "On the Existence of the Green's Function for the Most General Simply Connected Plane Region," Transactions of the American Mathematical Society, Vol. 1, No. 3. (July 1900): "By a Jordan curve is meant a curve of the general class of continuous curves without multiple points, considered by Jordan, Cours d'Analyse, vol. I, 2d edition, 1893..." (OED2).
JORDAN CURVE THEOREM is dated 1915-20 in RHUD2.
Jordan curve-theorem is found in D. W. Woodard, "On two-dimensional analysis situs with special reference to the Jordan curve-theorem," Fundamenta (1929).
Jordan curve theorem is also found in L. Zippin, "Continuous curves and the Jordan curve theorem," Bulletin A. M. S. (1929).