CO129-334 - Governor Nathan - 1906 [5-7] — Page 201

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principles of force and motion as applied to rotating bodies;

steadiness of machines; force of a blow; extension and compras-

-sion of materials; strength of boilers; riveted joints; twisting

of a shaft and bending of a beam; stiffness and strength of loaded

beams; loaded arch; properties of materials used in construction;

stiffness and strength of springs; elementary principles of

hydraulics.

THIRD YEAR'S COURSE,

PRACTICAL MATHEMATICS.

1. Algebra. Summation of Series, Indices, Binomial Theorem,

Solution of Equations by formulae after establishing formula,

Limits, Graphs of Functions.

2. Trigonometry. Study of such limits as sine 8; how to find

the values of the sine, cosine and tangent, for angles greater

than 90°; complementary and supplementary angles; how the value

of is determined.

The fundamental formulae of trigonometry; the sine rule in tri-

2 3. 2

-angles; the rule c = a + b 2ab cos c; 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 formulae, Solution of Triangles with Logarithas,

Heights and Distances, Inverse Functions Approximations, Graphs,

Maxine and #inina, Applications of Trigonometry.

3. Introduction of the Differential and Integral calculus.

Rate of increase of one quantity relatively to that of another;

approximate methods 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 term "differential co-efficient", as applied to a rate of

increase