The first earnest attempt to provide Classical instruction of a higher order for the better class of students was devised by Provost Kearney in 1800. Special Classical Lectures were arranged to be given by the ablest scholars among the Fellows twice a-week, at 7 a.m. The first special Lecturers appointed for this purpose were—Dr. Miller in Greek, and Mr. Walker in Latin. These lectures appear to have been instituted for the purpose of advancing the classical studies of such graduates as intended to devote themselves to the instruction of boys in schools; for it was arranged, at the same time, that every graduate, who should appear to the Provost and Senior Fellows to merit such encouragement, was to be entitled to a certificate under the College Seal testifying that he was “qualified to instruct youth in the grammatical principles, the classical idioms, and the prosody of the Greek and Latin languages.” The salary of each of these Lecturers was fixed at £40 annually. In 1804, Dr. Miller was succeeded by Mr. Kyle as Lecturer in Greek, and Mr. Walker by Mr. Nash as Lecturer in Latin. In 1801 the Professor of Oratory was authorised to give prizes for excellent answering at the lectures delivered by him and his assistants; and, in order to stimulate the study of the Hebrew language at school, prizes for good answering in that subject, at the monthly entrance examinations, were instituted; and in order to encourage further the study of composition, both in Greek, Latin, and English Prose and Verse, in 1805 the Vice-Chancellor assigned that portion of the fees for Degrees which was then payable to him, to form a fund for prizes, to be given at the time of the Commencements, for the best compositions in each branch. In 1808 Catechetical Lectures and Examinations in Holy Scripture for the two Freshmen classes on the basis of the ordinary Term Examinations were first instituted, and, at the same time, regular weekly instruction by the Clerical Fellows in a fixed course of Holy Scripture and religious knowledge was arranged. On the same occasion Algebra was for the first time made a part of the Undergraduate Course, the only Mathematics which all the students had been taught before that time being four books of the Elements of Euclid.

In order to stimulate the more advanced students to an increased pursuit of Mathematical Physics, Dr. Bartholomew Lloyd was appointed to deliver lectures on Mechanics at a salary of £100 annually, on the condition that he should resign his claims to any other Professorship, Lectureship, or Assistant’s place, except that of Catechetical Lecturer. In 1815 a new scheme of Mathematical Lectures was promulgated. The following distribution of the work to be done by the Professor and his assistants was arranged by the Provost and Senior Fellows:—

The Junior Assistant to lecture on Arithmetic and Algebra to Biquadratic Equations, including Newton’s Method of approximation to roots of Equations, also on the application of Algebra to Geometry as given by Newton. The Senior Assistant to lecture on Logarithms, Analytical Trigonometry, with its application to Terrestrial Measurement, application of Algebra to Geometry managed by the equations of figures. The Professor to lecture on the more advanced parts of Mathematics, including the Method of Indeterminate Coefficients, with its application to the management of Series, and other matters not contained in the Course of the Assistant, also Differential and Integral Calculus and the Method of Variations.

The programme of the subjects of these lectures shows that there was a large advance in the mathematical education of the students made at this time. Analytical Geometry and Trigonometry were taught to the Honour men among the undergraduates, and the Differential and Integral Calculus and the higher branches of Mathematics were expounded by the Professor of Mathematics to the candidates for Fellowship. Hitherto the mathematical studies of the members of the College were mainly geometrical. The great start in analytical science, which has developed itself so largely in the University, seems to date from this time, and is due very much to the influence of Dr. Bartholomew Lloyd, who had in 1813 been appointed to the Chair of Mathematics. It was not until 1830 that a similar progress was made in the study of Mixed Mathematics. We find that in November of that year a committee, consisting of the Professors of Mathematics and Natural Philosophy, with Dr. Wall, was appointed to recommend to the Board a proper course of Mixed Mathematics, and they were instrumental in introducing the Mechanics of Poisson into the subjects for examination for the higher mathematical honours. A small but important improvement in the existing method of conducting the Term Examinations of ordinary students was made at the same time. Hitherto some of the classes were submitted to be tested by the same Junior Fellow in Science and in Classics. In 1831 it was decided that these branches of studies should be judged by separate examiners in every case. At this time there was no special examination for the degree of Bachelor of Arts. Senior Sophister students who answered in an unsatisfactory manner at the Michaelmas Term Examination were “sent to the Regent House” to be examined.

In 1807 it was decreed that every student who is “cautioned to the Regent House” shall be examined in every part of the Undergraduate Course for which he has got a mediocriter at his last examination. It was not until October, 1838, that this examination in the Regent House was formally discontinued, although it had fallen into disuse. It was then arranged that one vix mediocriter for the B.A. degree should subject the candidate to another examination.

This is the suitable occasion upon which to mention in detail the great services which the mild energy and enlightened views of Dr. Bartholomew Lloyd performed in the reformation of the studies and the literary work of Trinity College. To no one man during the present century does the University owe so much. A native of the County of Wexford, he was elected a Fellow in 1796, and after a service of twenty years as College Tutor, which he discharged with zeal and ability, he was co-opted to a Senior Fellowship in 1816, and he was appointed to the Provostship in 1831. Dr. Lloyd held the Professorship of Mathematics from 1813 to 1822, when he exchanged this chair for that of Natural Philosophy. He occupied the latter office until he was made Provost, and he was thus for eighteen years engaged in the direction of the highest studies of the most advanced classes in the branches of Pure and Mixed Mathematics. He quickly saw the need of introducing a more complete knowledge of the more advanced analytic methods which prevailed on the Continent, and he compiled a course of lectures, as we have seen, in order to introduce them to his class; and partly by his lectures and partly by his writings[104] he completely revolutionised the mathematical and physical studies of the University, and was the means of directing the researches of the higher class of thinkers to the methods which have rendered the Dublin school of mathematicians so celebrated in Europe.

Shortly after his appointment to the Chair of Natural Philosophy, he published his well-known treatise on Mechanical Philosophy, which supplied a want widely felt by students of that science in this and the sister country, and which was the means of introducing to them the researches of the French labourers in the field of Applied Mathematics.

During the six years of his Provostship he was the means of effecting very large and beneficial changes in the College. Up to 1831 all the important Professorships were held by Senior Fellows, and in most cases (except in those on the foundation of Erasmus Smith) they were held, like other College offices, as the result of an annual election. Dr. Lloyd saw the necessity of setting apart some of the Junior Fellows for the fixed and exclusive work of Professorial study and teaching. For this purpose he influenced the College Board to set apart three of the Junior Fellows, whose tastes were specially directed to these particular studies, to the Professorships of Mathematics, of Natural Philosophy, and the office of Archbishop King’s Lectureship in Divinity. Mr. M‘Cullagh was elected to the first of these chairs, Mr. Humphrey Lloyd to the second, and Dr. O’Brien to the third. They were freed from all the distracting cares of College Tutors, and the salaries were fixed at something rather below the average value of a Junior Fellowship. The tenure of the Professorship was terminated by the co-option of the holder to a place among the Senior Fellows. The Fellowship Examination was improved by a Royal Statute which was then obtained, and which enabled the Professors of Mathematics and Natural Philosophy to be called up to undertake the examination in the courses belonging to their respective chairs.

Provost Bartholomew Lloyd saw also the necessity of fostering the study of Mental and Moral Philosophy among the members of the College. Prior to 1833 the study of these sciences was joined with that of Mathematics and Physics under the common designation of Science. But for the attainment of prizes and other University distinctions, the Mathematical part of the examination placed that of the Logical and Ethical portions of the curriculum completely in the background. In 1833 a new system of awarding Honours and Medals at the Degree Examination was instituted, and in addition to the distinctions in Mathematics and Classics, which had been in existence since the year 1815, a third course was fixed for a separate examination in Ethics and Logics, and gold and silver medals were awarded for distinguished answering in these subjects, in addition to the similar rewards for merit under the designation of Senior and Junior Moderatorships in Mathematics and in Classics. This arrangement was carried out in 1834, and the first name in the list of Ethical Moderators of that year was that of William Archer Butler—a brilliant and afterwards most distinguished man, both as a writer and a preacher, who was taken away by death from the service of the Church and of the University at the early age of thirty-four.

Provost Lloyd had long seen the necessity of a separate Professorship of the Moral Sciences, and in 1837 he induced the Governing Body of the University to found it. On the day on which it was instituted Archer Butler was appointed to the Professorship, which he held for ten years, much to the benefit of the class of thinkers to whom these studies were interesting. By these arrangements Dr. Lloyd may be well said to be the founder of the distinguished school of Metaphysics which has taken such deep root in the College, and has borne much fruit. In 1850, mainly through the exertions of his son, Dr. Humphrey Lloyd, a fourth Moderatorship in Experimental Physics was founded.[105] But it was not only with the advancement of higher class education that Provost Lloyd was engaged: he effected enormous improvements in the lectures and examinations of the undergraduates at large. To this he was stimulated by a remarkably thoughtful and searching pamphlet, written in 1828 by Dr. Richard MacDonnell, who was then a Junior Fellow, and had an experience of twenty years of the great defects in the method of conducting the Term Examinations. Most of the suggestions in this pamphlet were adopted in course of time. Before the year 1833 the work of the College was distributed over four separate Terms, at the beginning of each of which the students were examined in the subjects in which they had been instructed during the previous Term. These Terms were of unequal and variable length. The Easter Term was far too short for the appointed course of study; and the Trinity Term, depending on the movable feasts, was often merely nominal. In order to obviate these inconveniences, the Provost and Senior Fellows applied for and obtained a Royal Statute reducing the number of Academic Terms from four to three, and fixing them so that they would be generally of equal length. The hours of examination for each class of students were altered so as to meet the change of social habits; and while it was formerly the custom to have the first part of the examination of each day to continue from 8 a.m. to 10 a.m., followed by a breakfast at the chambers of the College Tutors, in 1833 the change was made to the present hours of examination—from 9.30 to 12 in the morning of the first day, and from 10 to 12 in the morning of the second day of each Term Examination. The subjects of the Undergraduate Course were in the same year submitted to a very wide-reaching review.