II. 1. Any Student who has passed the Intermediate Examination of the Cape University is entitled to present himself for the Final Examination of the Senior Freshman, or second, Year. 2. To such Students the Entrance Fee, and the half-yearly fees up to and including the November half-year at the end of the Junior Freshman Year, are remitted. III. 1. Any Student who has passed the B.A. Examination of the Cape University is entitled to put his name on the Books of Trinity College as a rising Junior Sophister, or Student who has obtained credit for two Collegiate Years. 2. To such Students the Entrance fee, and the half-yearly fees up to and including the May half-year of the Senior Freshman Year, are remitted. 3. In keeping their Terms, Students from South Africa are allowed to substitute Dutch for French or German, when two languages are required. IV. EXHIBITIONS AWARDED TO STUDENTS FROM SOUTH AFRICA. A scheme for the encouragement of Colonial Students contained in Resolutions of the Board of March 21, 1903, and June 25, 1904, was modified by the Board and Council on Dec. 7th, 1911, so that it is now as follows: I. That three Exhibitions be offered annually to South African Students, each not exceeding £50 per annum, and tenable for three years. The tenure of the Exhibitions while in Trinity College shall be subject to satisfactory progress in the Courses taken up by the Exhibitioner. II. That the selection of Exhibitioners be made in South Africa and no longer in Trinity College, and by Nomination with or without Examination. III. That the six University Colleges in South Africa be divided into two Groups, of three each, and in the following order : a1. South African College, Cape- b1. Victoria College, Stellen IV. That each Group shall nominate, in alternate years [(A) nominating in 1912, or sooner should special circumstances arise], three Exhibitioners, one from each College in the Group. These Nominations shall be made by the Professorial Staff, subject to confirmation by the Councils of the Colleges. V. That if any College shall fail to nominate an Exhibitioner, the nomination shall pass to another College in the same Group, in the order of rotation. VI. That in the selection of Exhibitioners, those should be chosen who, in the opinion of the Nominators, are best fitted, physically as well as intellectually, to derive benefit from Arts or Medical and other Studies in Trinity College. VII. A Candidate for an Exhibition in Trinity College shall not be disqualified therefor, by reason of his holding any Exhibition or Scholarship in South Africa. VIII. That the standing to be taken in Trinity College by each Exhibitioner shall be that described in I., II., III., above, as applicable to all Students from South Africa. IX. That the scheme shall be in force for six years, but may be extended, or modified, or brought to an end, on notice being given in the fourth year. Honor Courses. STUDENTS may become Candidates for Honors in the following subjects, at each Term Examination in the Undergraduate Course: JUNIOR FRESHMEN, SENIOR FRESHMEN, JUNIOR SOPHISTERS, SENIOR SOPHISTERS, Mathematics; Classics; History; English Mathematics; Classics; Mental and Moral Mathematics; Classics; Mental and Moral Mathematics; Classics; Mental and Mora! A Prize Examination is held in Mental and Moral Philosophy in the Michaelmas Term of the Junior Freshman year; Prize Examinations are also held in Experimental Science, in Natural Science, and in Old and Middle Irish in the Michaelmas Term of the Senior and Junior Freshman years; and a Prize Examination in Celtic Languages in the Michaelmas Term of the Junior Sophister year. At the B. A. Degree Examination, Students may graduate in Honors in ten subjects, viz. : Mathematics. Classics. Mental and Moral Philosophy. Experimental Science. Natural Science. History and Political Science. Modern Literature. Legal and Political Science Engineering Science. Celtic Languages. The regulations by which the rank and value of the various Honors and Prizes are determined have been already given (see above, under the head "Honors and Prizes"). § I. MATHEMATICS. [The books recommended by the Mathematical Committee are printed on a separate leaflet. Credit will be given for style and neat arrangement of answers. Candidates are expected to bring into the hall books of tables and Mathematical instruments. A practical paper will be set in each Freshman Term. In Michaelmas Term a general paper will be set covering all the preceding Honor Course.] JUNIOR FRESHMEN. MICHAELMAS LECTURES AND HILARY EXAMINATION. Geometry.--Elementary theory of maxima and minima, mean centres, transversals (including harmonic and anharmonic ratios), poles and polars, inversion, coaxal circles, projection. Geometrical treatment of the general focal properties of conics, with particular application to the ellipse and parabola. Drawing of graphs. Algebra.-Arithmetical and geometrical progressions; scales of notation; surds; quadratic equations and simultaneous equations of the second degree; permutations and combinations; binomial theorem for a positive integral index. Trigonometry. To the end of solution of plane triangles; use of logarithms; numerical solution of triangles. HILARY LECTURES AND TRINITY EXAMINATION. Geometry.-Cartesian equations of right line and circle. Graphic solution of equations. Algebra.-Elementary convergence of series, binomial theorem, logarithms, exponential and logarithmic series, partial fractions, elementary continued fractions, algebraic series, relation between the roots and coefficients of a rational integral algebraic equation. Elementary symmetric functions. Trigonometry.-De Moivre's theorem. Exponential forms of trigonometrical functions. Trigonometrical series. Expression of trigono. metrical functions by infinite products. TRINITY LECTURES AND MICHAELMAS EXAMINATION. Geometry.-Cartesian equations of the general conic, and of central conics and parabola in their simplest forms. Spherical Trigonometry.--Relation between the sides and angles of a spherical triangle, radii of inscribed and circumscribed circles: spherical excess. Algebra.-Theory of convergence of series (continued), rational and irrational numbers, the continuum. Differential Calculus.-Continuity and discontinuity of functions; limits of functions; differential calculus to the end of Taylor's theorem for one variable. Integral Calculus.—Elementary integration; integration between limits. Elementary Mechanics. -Laws of motion; composition and resolution of velocities, accelerations, and forces; equilibrium under coplanar forces; polygon of forces; simple applications of graphic methods; simple machines; work and energy. SENIOR FRESHMEN. MICHAELMAS LECTURES AND HILARY EXAMINATION. Algebra.-Elementary determinants. Differential Calculus.-Maxima and minima of functions of one variable; partial differentiation; elementary application of the differential calculus to plane curves (tangents, normals, curvature). Integral Calculus.—Integration of rational functions; integration by successive reduction; elementary application of the integral calculus to areas and lengths. Statics. Equilibrium under coplanar forces, excluding friction; virtual work. Dynamics.-Rectilinear motion of a particle; harmonic motion; projectiles; constrained uniplanar motion under gravity. HILARY LECTURES AND TRINITY EXAMINATION. Differential Calculus.-Calculation of the effects of small errors; successive partial differentiation; extension of Taylor's theorem toseveral variables; asymptotes; plotting of curves; envelopes. Integral Calculus.—Integration by rationalization; areas and lengths of curves. Analytical Geometry.-The plane and right line in rectangular Cartesian co-ordinates. Statics. Equilibrium of bodies under coplanar forces, including the general theory of friction; graphic statics; application of the calculusto finding centres of gravity. Dynamics.-Motion of a particle under a central force. |