654
THE NEW ZEALAND GAZETTE.
name the principal Mountain Chains, the principal
Rivers and Lakes, the Political Divisions, and the
principal Towns, and to name the principal Bays,
Capes, Peninsulas, and Islands, shown on the outline.
(b.) To fill in for England, Scotland, or Ireland, any
details given in Spence's Civil Service Geography.
(c.) To fill in for any of the Australian Colonies
information equally minute.
Physical Geography—Somerville's Physical Geo-
graphy, 5th edition, Chapters I. to XVI. and XVIII.
to XXIV. inclusive, with Johnston's School Atlas of
Physical Geography.

RECOMMENDATIONS AND ANNOUNCEMENTS.
CLASSICS AND ENGLISH.
Matriculation Examination.
In selecting their subjects for this examination,
Candidates would do well to remember that, by the
regulations of the University, they are required to
pass in Greek and in Latin at the end of their first
year of study for any degree. Now, unless they have
a sufficient knowledge of Greek and Latin to enable
them to pass the Matriculation Examination, there
is little probability of their being able to pass the
First Examination in either at the end of one year.
For the Pass Examination in English, all that is
required is that Candidates should have a thorough
practical acquaintance with accidence and syntax,
and with the analysis of sentences, and should be
prepared to detect faults of construction in inaccurate
sentences proposed for criticism.

MATHEMATICS.
MATRICULATION EXAMINATION.
Arithmetic.
The parts to which attention should be more
particularly directed, and to which the principal
importance will be attached in the examination, are
the nature of vulgar and of decimal fractions, the
rules for their addition, subtraction, multiplication,
division, and reduction, and the reasons for those
rules. The Examination will be conducted by printed
questions, to which the Candidates will be required
to write the answers. The importance of a thorough
knowledge of Arithmetic, especially of vulgar and
decimal fractions, to persons commencing the study
of Algebra, cannot be over estimated. If it be pro-
perly taught, the reasons of the rules and the processes
carefully explained, the simpler Algebraical signs
introduced, and the Student thus familiarized with
the calculation of expressions where all the symbols
of quantity are actual common numbers, the transi-
tion to Algebra and the use of literal symbols will be
comparatively easy.

Algebra.
The portions of Algebra of which a knowledge is
requisite, to enable the Student to proceed with and
profit by the lectures, are the notation, the funda-
mental operations, and the method of solving simple
equations. The Student should be exercised in the
fundamental operations of addition, subtraction,
multiplication and division of expressions, both of an
integral and of a fractional form, till he is able to
perform them with rapidity and certainty; excellent
practice in these may be supplied by giving expres-
sions to be simplified and equations of the first degree
to be solved, such that in the process several or all
of these operations must be performed. This is
essentially a part of school training. The limited
duration of a University lecture, a large portion of
which must be devoted to the explanation and
illustration of principles, renders it impossible that
this training can be carried out there.

• NOTE.—In Oct. Term, 1869, and Feb. Term, 1870, Candi-
  dates may select either Geography as above, or Physical Geo-
  graphy as above. After Feb. Term, 1870, there will be no
  Examination in Physical Geography as a distinct subject.

In a subject so extensive as Algebra, it is impossible
to point out any Text Book suitable by itself for all
Students. Colenso's Algebra, Part I., is recom-
mended as being an excellent school treatise suitable
as a first book for all Students, and containing what
will be found quite as much as a large proportion
will be able to master. The cleverer Students, after
working through this, will find a very large amount
of additional matter in the last addition of Wood's
Algebra, by Lund; and those who are able to follow
up the philosophical principles of the subject should
also read the works of Peacock and De Morgan. An
excellent collection of examples and problems, both
in Algebra and in other departments of Mathematics,
has been published by Wrigley.

Euclid.
The text of Euclid which is adopted is that of Dr.
Robert Simson. The portions prescribed for the
Matriculation Examinations are the first two books,
with the definitions and axioms. The propositions
must be written out in words without Algebraical
symbols of any kind; the only abbreviations which
may be used are "Sq. on AB," for "the square
described on the line AB," and "rect AB,CD" for
"the rectangle contained by AB and CD." An
answer in which this rule is violated will be rejected.
Great clearness is attained by writing the separate
steps in separate lines, as is done in Potts' Edition of
Simson's Euclid, which is recommended.

Colonial Secretary's Office,
Wellington, 8th December, 1869.

THE following Acts, passed by the Provincial Coun-
cil, and reserved by the Superintendent of the
Province of Hawke's Bay for the signification of the
Governor's pleasure thereon, intituled

"The Executive Act, 1869;"
"The Cattle Trespass Amendment Act, 1869;"
"The Napier Common School Site Act, 1869;"
"The Appropriation Act, 1869, No. 2;"
"The Ratification of Loan Expenditure Act, 1869;"

having been laid before the Governor, His Excellency
has been pleased to assent to the same.

W. GISBORNE.

Colonial Secretary's Office,
Wellington, 8th December, 1869.

IT is hereby notified, that a Writ issued for the
election of a Superintendent of the Province of
Auckland has been returned with a Certificate to the
effect that

THOMAS BANNATYNE GILLIES,
of Epsom, near Auckland, freeholder, has been duly
elected.

W. GISBORNE.

Colonial Secretary's Office,
Wellington, 8th December, 1869.

IT is hereby notified, that Writs issued for the
election of Members of the Provincial Council
of the Province of Southland have been returned
with Certificates to the effect that,

For the District of Invercargill,
James A. R. Menzies, of Dunalister, householder
and freeholder;
George Lumsden, of Invercargill, freeholder;
W. H. Calder, of Invercargill, freeholder;
George Webster, of Run 148, freeholder;

For the District of Oteramika,
George Meredith Bell, of Waimea Plains, free-
holder;

For the District of Waikiwi,
Andrew Toshack, of Waikiwi, freeholder;