Pure Mathematics.
In the course of Pure Mathematics there are three classes, Junior,
Intermediate, and Senior.
Junior Class.—Theory of Arithmetical Operations and Notation,
Algebra, Geometry and Geometrical Conic Sections, with discussions
of the Ancient Geometrical Analysis, the Theory of Transversals, and
other subjects of Modern Geometry. The preparation desirable for
this class is the thorough study of Arithmetic, of Algebra through
Equations of the Second Degree, and of the first four books of Legendre
or Euclid.
Intermediate Class.—Plane and Spherical Trigonometry with Applications,
Analytical Geometry of two Dimensions, the Theory of
Equations, and Elements of Descriptive Geometry.
Senior Class.—Analytical Geometry of three Dimensions, the Differential
and Integral Calculus with applications to the Theory of
Probabilities, and the Determination of Mean Values and Centres of
Gravity, and the Calculus of Variations. Lectures are given to this
class on the History of Mathematics, and on some points in Controversial
Mathematics, with brief discussions of the elements of Tri-linear
Coördinates, of the Theory of Determinants, the Theory of
Complex Functions, and of the principles of the Method of Quaternions.
Text Books—Junior Class—Venable's Higher Arithmetic, Todhunter's
Algebra, Legendre's Geometry. For reference and examples.
Pott's Euclid.
Intermediate Class.—Snowball's Trigonometry, Law's Logarithms,
Puckle's Conic Sections (Analytical Geometry), Church's
Descriptive Geometry. For reference, Todhunter's Theory of Equations.
Senior Class.—Aldis' Solid Geometry, Courtney's Calculus, Todhunter's
Differential and Integral Calculus.
In the Junior Class there are three lectures each week: in the Intermediate
Class, two lectures each week: in the Senior Class, three
lectures each week.
