CO129-334 - Governor Nathan - 1906 [5-7] — Page 203

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Graphical Statistics. Examples of framework, with diagrams of

stress, lattice girders and roofs. Finding moments of inertia of

areas. Lines of resistance. Bending acment and shearing force

diagrams.

FOURTH YEAR'S COURSE.

PRACTICAL MATHEMATICS.

dy

Elements of the Calculus. - Rules for finding the differential

co-efficient of y with respect to x, that is, when y and x

dx →→

are related in the following ways:-

I

y = ax ; y = ac; y sin x; y = COS X;

y = sin (bx+c); y = A log (x + a).

First Principles of Co-ordinate Geometry.

The following graphs, y = a + bx; y = a + bx + cx~;

C

bx

yx = b; y = al' ; y = ba sin (bx + c);

The idea of limits.

dy

Interpretation of symbols and

dx

if

m

4

X dx and their graphic

representation.

n

Study of x Maxima and Minima.

Partial differentiations.

Areas of curves.

Moment of inertia.

Definite Integrals.

APPLIED MECHANICS.

Motion and Energy, their applications. Graphic Statics and their

application to roofs, cranes, beans, girders and bridges. Hydrau-

-lics.