118
SECONDARY EDUCATION.
Leaving Certificate, 1888.
Note as to Mathematical Papers.
The scope of the Mathematical Papers that will be set is indicated in
the following list:—
No. 1. Arithmetic (I.), 1| hours.—Ordinary arithmetical questions,
with optional questions on logarithmic computations of an easy kind.
No. 2. Geometry and Trigonometry (I.), 2 hours.—8 standard ques¬
tions on the subject matter of Euclid, Books I., II., III., IV., VI., with
easy riders and numerical examples; 4 optional questions, partly on the
geometry and mensuration of solid figures, partly on modern propositions
usually taught as a sequel to Euclid, on trigonometry, properties and
logarithmic solution of triangles.
No. 3. Algebra and trigonometry (I.), 2 hours.—8 standard ques¬
tions on algebra up to and including quadratic equations, taking in the
elementary theory of irrational forms, surds, proportion, and the pro¬
gressions ; 6 optional questions on the higher parts of the subject usually
taught in schools, and on the elementary theory of trigonometrical
functions.
No. 4. Geometrical Conics (I.), 2 hours.—8 standard questions on
the parabola and the ellipse, with easy riders. 4 optional questions on
the general conic, the hyperbola, and the sections of the cone.
No. 5. Analytical Geometry (I.), 2 hours.—8 standard questions on
the straight line treated by Cartesian co-ordinates. 4 optional questions
on the simpler abridged, or trilinear methods as applied to the straight
line; on polar co-ordinates, the circle, and the easier parts of the conic
sections.
No. 6. Dynamics (I.), 2 hours.—8 standard questions on velocity,
acceleration, the laws of motion, composition of forces, equilibrium,
centre of gravity, the lever and its modifications, pulleys, and the inclined
plane. 4 optional questions on work, energy, friction, machines in
motion, and hydrostatics.
No. 7. Arithmetic (II.), hours.—Questions of a general kind,
somewhat simpler than those set in No. 1.
No. 8. Geometry (II.), 2 hours.—12 questions on the subject matter
of Euclid, Books I., II., III., with easy riders, and possibly a question
in Book IV.
No. 9. Algebra (II.), 2 hours.—12 questions on Algebra up to and
including equations of 1st degree, with easy quadratics of one variable,
and simple questions on greatest common measure and least common
multiple.
B.
The papers marked (I.) belong to the senior certificate, those marked
(II.) to the junior certificate. Of those marked 1—6 for the senior
certificate, 1, 2, 3 are compulsory, i.e.t the candidate must pass in all
these to obtain the senior certificate in Mathematics. In several of these
papers, the questions are divided into standard and optional. In papers
2 and 3, a candidate can pass by doing a reasonable number of the
standard questions alone. Credit will, however, be given for all ques¬
tions done, and candidates desiring a certificate with honours should do
as many of the optional questions as they can.