MAY 23.]
THE NEW ZEALAND GAZETTE.
747

measure; the exponential values of the sine and cosine; the
usual series for determining $\pi$; and the summation of trigono-
metrical series.

(c.) Differential and Integral Calculus.---Differentiation and
integration of functions; expansion of functions in series;
limiting values of indeterminate forms; maxima and minima
values of functions of one or of two independent variables; the
change of the independent variable; the chief applications of the
differential and integral calculus to the geometry of plane curves
and of solids of revolution; and differential equations.

(d.) Mechanics.---As defined for the degree of Bachelor of
Arts, with the addition of statics treated analytically, and
dynamics of a particle.

(e.) Physics.---Any one of the following branches: - (1.)
Heat.---The elementary theory of heat, including the kinetic
theory of gases and thermodynamics. (2.) Light.---Geometrical
optics to a first approximation, and the undulatory theory of
light treated mathematically. (3.) Astronomy.---Elementary
astronomy, with calculation and spherical problems; the ele-
mentary parts of the lunar theory.

(4.) CHEMISTRY AND EXPERIMENTAL PHYSICS.---(Two papers
at least.)---(a.) Chemistry.---Any one of the following branches :

1. Organic Chemistry. 2. Metallurgy and Mineral Chemistry.
2. Chemistry of Manufactures and Agriculture. (b.) Electricity
   and Magnetism.---The general subject, and full acquaintance with
   all instruments used in the ordinary and ocean telegraphy.
   Instead of paper (b) the candidate may take the two following
   papers:-(c.) Sound and Light.---The parts prescribed for the
   Pass Examination for the degree of Bachelor of Arts, treated fully
   and practically; together with the colours of thin plates, cir-
   cularly and elliptically polarized light, and rotatory polarization.
   (d.) Heat and Radiant Heat.---The parts prescribed for the Pass
   Examination for the degree of Bachelor of Arts, together with
   elementary thermodynamics, and practical work in calorimetry.
   The candidate will be required, on presenting himself for
   examination, to furnish to the Supervisor a certificate from a
   teacher of chemistry that he has passed a practical examination
   in chemical analysis in all its branches; and to produce, to the
   satisfaction of the Examiner, the results obtained in some
   original investigation or research in chemistry or experimental
   physics.

(5.) NATURAL SCIENCE.---(Two papers.)---One of the follow-
ing branches (A or B) :-

A. Geology, Mineralogy, and Palæontology.---Classification and
distribution of formations; a detailed knowledge of mineralogy,
lithology, and palæontology.

NOTE.---The division of this subject into two papers will be left to the discretion
of the Examiner.

B. Biology.---(a.) The general principles of biology, as for the
degree of Bachelor of Arts, but treated much more fully. (b.)
One of the following:---(1.) Zoology.---A detailed knowledge of
the anatomy, taxonomy, and distribution of some one of the
following groups of the Animal Kingdom, and especially of its
representatives in the New Zealand Fauna: 1. Protozoa and
Porifera; 2. Cælenterata; 3. Vermes; 4. Echinodermata; 5. Mol-
lusca; 6. Crustacea; 7. Insecta; 8. Pisces; 9. Aves; 10. Mammalia.
(2.) Botany.---A detailed knowledge of the structure, taxonomy,
and distribution of some one of the following groups of the
Vegetable Kingdom, and especially of its representatives in the
New Zealand Flora: 1. Alga, Fungi, and Lichenes; 2. Muscineæ ;
3. Vascular Cryptogams; 4. Gymnosperms; 5. Monocotyledons;
6. Incompleta and Corollifloræ; 7. Thalamiflora, Disciflora, and
Calyciflora.