I. _List of subjects proposed for consideration_.
(1) Partial Differential Equations to the second order, with their
arbitrary functions: selected principally with reference to the
physical subjects.
(2) The Theory of Probabilities as applied to the combination of
Observations.
(3) Mechanics (including Hydraulic Powers) in the state which verges
upon practical application, and especially including that part in
which the abstract ideas of _power_ and _duty_ occur.
(4) Attractions. This subject is recognized in the existing course of
the University: but, so far as I can infer from examination-papers, it
appears to be very lightly passed over.
(5) The Figure of the Earth, and its consequences, Precession, &c. I
believe that the proposal is sanctioned, of adopting some part of this
theory in the ordinary course; but perhaps hardly so far as is
desirable.
(6) The Tides.
(7) Waves of Water.
(8) Sound (beginning with Newton's investigation); Echoes; Pipes and
Vibrating Strings; Acoustics; the Mathematical part of Music.
(9) Magnetism, terrestrial and experimental, and their connection.
(I omit for the present Mineralogy and Mathematical Electricity.)
This list of subjects appears formidable: but they are in reality
easy, and would be mastered in a short time by the higher Wranglers.
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