7. The first payment of an Exhibition is made at the end of the first quarter after the Exhibitioner has joined Trinity College. 8. Exhibitioners must reside in College, unless expressly exempted by the Provost. 9. No person shall be disqualified for nomination to an Exhibition by reason of his holding any Exhibition or Scholarship in South Africa. Exhibition awarded to Graduates in Medicine of Melbourne University. By order of the Board of Trinity College, Dublin (dated 20th April, 1918), the University of Melbourne is entitled to nominate one of its medical graduates to an exhibition of £100, with rooms, rent free for six months, in Trinity College, intended to defray, in part, the expenses incurred in obtaining the Diploma in Gynecology and Obstetrics granted by the University of Dublin. This regulation will hold for one such graduate in each of the five years beginning October, 1918. The Regulations for the Diploma and the fees payable in connexion with it are given under that heading. During, or at the end of, his course of instruction the exhibitioner is eligible for election to the post of External Maternity Assistant at the Rotunda Hospital, and, at the end of his course, for the post of Assistant Master. The fee in Trinity College entitles the exhibitioner to all privileges enjoyed by students of the University, including attendance on lectures in the Arts Faculty, and enables him to join any College Society. Honor Courses. НІГТЕВ 4 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; Experimental Science; Mathematics; Classics; Mental and Moral Mathematics; Classics; Mental and Moral Mathematics; Classics; Mental and Moral 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 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. 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"). SI.-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 trigonometrical 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 to several 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 calculus to finding centres of gravity. Dynamics.-Motion of a particle under a central force. TRINITY LECTURES AND MICHAELMAS EXAMINATION. Analytical Geometry. -- Central quadrics in rectangular Cartesian coordinates. Differential Equations.-Equations of first order, and linear equations with constant coefficients (two variables). Attractions.-Elementary theory of attraction and potential for particles; uniform plane and spherical distributions of matter; tubes of force. Integral Calculus.--Elementary theory of multiple integrals, with applications to the determination of volumes and surfaces, and centres of gravity of solids. Algebra.-Solution of cubic and biquadratic symmetric functions; Sturm's theorem; Horner's method of approximation. Dynamics.-Constrained motion of a particle; motion of a particle in a resisting medium. JUNIOR SOPHISTERS. MICHAELMAS LECTURES AND HILARY EXAMINATION. Geometry.-Confocal quadrics; general theory of surfaces in rectangular Cartesian coordinates; curvature of surfaces and twisted curves. Trigonometry.-Exponential and Logarithmic series for complex variable. Differential Equations.-Well-known miscellaneous methods, homogeneous equations, exact equations, ordinary linear differential equations (two variables). Integral Calculus.—Integrals of inertia; reduction of elliptic integrals to normal forms. Dynamics.-General principles, energy, momentum; motion of a rigid body parallel to a fixed plane. Statics.-General equations of equilibrium in three dimensions; wrenches; equilibrium of strings under coplanar forces. HILARY LECTURES AND TRINITY EXAMINATION. Geometry.-Torsion of curves; homogeneous equations of curves and surfaces. Differential Equations.-Integration by series of Legendre's and Bessel's equations; Riccati's equation; the differential equation satisfied by the hypergeometric series. |