For the benefit of those students who are not preparing for the University and are not studying mathematics for its own sake, a special effort is made to make the content of the course as rich as possible; that is, to select topics that afford material for mathematical thinking and at the same time have vocational value.
The following are the subjects considered: factors, remainder theorem, factor theorem, fractions, fractional and negative indices, surds, and complex quantities (graphic treatment), theory of quadratic equations, graphs, simultaneous equations, proportion and variation, logarithms.
Second Term.
Either Solid Geometry or Trigonometry. These subjects are begun but once a year. All students finishing two and a half years’ work in Mathematics may take whichever course is offered in the second half of their third year. Original work and solution of practical problems required.
TWELFTH YEAR.
First Term.
Either Solid Geometry or Trigonometry.
Second Term.
This course is a continuation of the work in Algebraic Theory designed especially for engineering students and for others who wish to continue advanced work. The student who is pursuing Mathematics for its vocational value and who does not intend to go to the University need not elect it, since the first term of Algebraic Theory, with Solid Geometry and Trigonometry, will give him sufficient equipment. The following topics are studied: synthetic division, simultaneous quadratic equations, special methods for higher equations, determinants, mathematical induction, binomial theorem, summation of series.