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46
ADMISSION AND CLASSIFICATION.
TO THE FOUR-YEAR COURSE LEADING TO THE DEGREE OF BACHELOR
OF THE SCIENCE OF FORESTRY.
In addition to the entrance examinations as given on
primary
pages 33-37, the applicant must offer Advanced French, Advanced
German, and Advanced Mathematics, as on pages 38, 39 and 46.
Latin asgiven on page 38 may be substitutedforthe Advanced French.
TO THE COURSE LEADING TO THE DEGREE OF BACHELOR OF
ARCHITECTURE.
In addition to the entrance examinations as given on
primary
pages 33-37, the applicant must offer as below.
1. In Advanced Mathematics as much as is contained in the
standard American and English text-books on the following subjects :
Solid Geometry. The properties of straight lines and planes, of
diedral and polyedral angles, of projections, of polyedrons, including
prisms, pyramids, and the regular solids, of cylinders, cones, and
spheres, of spherical triangles ; and the measurement of surfaces and
solids.
Precise definitions and rigorous proofs are required. Those under
examination are expected to make neat drawings, to be able to prove
simple propositions that are not in the text-books, and to make simple
constructions. Warning is given that the proofs by "limits,"
given in the books are generally unsatisfactory.
Advanced Algebra. Variation, proportion, inequalities,
as
and in
commensurable numbers ; the theory of powders and roots, including
fraction powers and incommensurable powers ; the theory of quadratic
equations, including problems in maxima and minima that may be
solved by aid of quadratics ; the three progressions ; the theory and
use of logarithms ; permutations, combinations, and probabilities ;
elementary propositions in the theory of equations, including the
of entire platting functions of one letter and the solution of higher
numerical equations ; and so much of the theory of numbers as per
tains to the properties of prime and composite numbers, and to the
multiples and measures of integers and of entire functions of one
letter.
In algebra, theory and problem-solving have equal weight.
Plane and Spherical Trigonometry. The definition and rela
tions of the six principal trigonometric functions ; the properties of
right and oblique plane triangles, and their solution, including the
proof of the necessary formulae and the use of trigonometric tables ;
applications of trigonometry to problems in surveying ; the properties