1328
THE HONGKONG GOVERNMENT GAZETTE, JULY 27, 1906,
THIRD YEAR'S COURSE.
Practical Mathematics.
1. Algebra Summation of Series, Indices, Binomial Theorem, Solution of Equations by formula after establishing formula, Limits, Graphs of Functions.
2. Trigonometry.--Study of such limits as sin 00; how to find the values of the sine, cosine, and tangent, for angles greater than 90°; complementary and supplementary angles; how the value of 7 is determined.
The fundamental formulæ of trigonometry; the sine rule in triangles; the rule 2=u2 +b2 −2 ab cos e; the expression for the area of a triangle, having given two sides and the included angle.
Solution of triangles, Functions, Transformation of Products and Sums, Establishing formule, Solution of Triangles with Logarithms, Heights and Distances, Inverse Functions, Approximations, Graphs, Maxima and Minima, Applications of Trigonometry.
3. Introduction to the Differential and Integral Calculus.-Rate of increase of one quantity relatively to that of another; approximate méthods of calculating a rate of increase, as for example, in the case where simultaneous values of two varying quantities have been observed experimentally, or by finding the slope of the curve obtained by plotting such values.
>
The termi differential co-efficient as applied to a rate of increase, and the symbol for
dy it, namely where y and represent the two varying quantities.
da
4. Mensuration.-Solids, Approximate Determinations, Metric Measures, Plane Figures.
5. Squared Paper.-Determination of maximum and minimum values; the solution of equations; the roots of equations may be obtained by the use of squared paper; rates of increase; speed of a body; determination of laws which exist between observed quantities, especially linear laws. Corrections for errors of observation, when the plotted quantities are the results of experiment.
Machine Drawing.
A lecture of half-an-hour's duration will be given each evening upon the forms and construction of various machine and engine parts. The students will make dimensioned sketches of the details illustrated on the blackboard, or from the actual objects shown during the lectures, and the remaining time will be devoted to making full size or scale drawings from the sketches.
The examples will include: -Bolts, nuts, and set screws; pins, keys, and cotters; shafting, couplings, and clutches; rivets and rivetted joints, pedestals and footsteps; toothed wheel gearing; pulleys and wheel cones: cranks and eccentrics; connecting rods, cross heads, pistons, stuffing boxes and glands; pipe joints, various valves and cocks, engine cylinder and slide valves.
Applied Mechanics.
The subjects mentioned in the elementary course will be treated more fully, together with the following :-
Friction.-Rolling friction, brakes, holding power of coiled ropes, slipping of
a belt.
Strength of Materials.-Transverse strain on timber beam, girders, cantilevers, deflection of beams. Combined bending and twisting; combined bending and crushing; struts.
Graphical Statics. Examples of framework, with diagrams of stress, lattice girders and roofs. Finding moments of inertia of areas. Lines of resistance. Bending moment and shearing force diagrams.
No comments yet.
Private notes are available after approval.