Mathematics (as for Arts Scholarship). Higher Mathematics and Mechanics. Chemistry (non-metallic elements), including general qualitative analysis. Physics. 4. The successful Candidates must be Day Students of the College during the tenure of their Scholarships, and will be required to follow out some line of study, to be determined after consultation with the Professors. A certain minimum of attendance on College Lectures and in the Laboratories will be insisted on; and the holders of the Scholarships will be expected to proceed to graduation in their respective faculties. 5. The Council reserves the right of withholding any of the Scholarships, in the event of the Examiners reporting that no Candidate of sufficient merit has come forward. A Scholarship thus declared vacant may be conferred on the Candidate who stands next in order of merit to the successful competitors for the Entrance Scholarships. 6. The Examination will commence on Friday, the 9th October, at 9 A.M. 1884 1885 Arts Scholarship— Alexander Robertson, Equal. William Gracie, 1889-Science Scholarship {Thomas R. Marr, Equal. 1890-Science Scholarship-Andrew Blackwood. BURSARIES IN ENGINEERING. (a.) Smart Bursary.—Free proceeds of the sum of £500, tenable for one year. (This Bursary was founded in March 1883, by James Smart, Esq., of Brechin.) 1 The unawarded balance was offered as a Special Prize at the end of the Session, and was divided between W. Frew and T. M. Wilson. (b.) Laing Bursary.-Free proceeds of the sum of £450, tenable for one year. (This Bursary was founded in 1890, having been bequeathed by the late James Laing, Esq.) The above Bursaries will be awarded under the following Regulations 1. No Candidate will be admitted to compete who has been a Day Student of the College for more than one year; and none will be eligible for the Bursaries whose age on the 1st October next preceding the examination shall be less than 16, or more than 25. 2. Notice of intention to compete must be sent to the Secretary, on or before 30th September 1891. 3. Candidates will be examined in Arithmetic, Algebra, Geometry, Trigonometry, the Elements of Natural Philosophy, and Geometrical and Mechanical Drawing. 4. The successful candidate will be required to attend the Engineering Classes, and a Class in Mathematics, with a further choice of (a.) A Lecture Course in Natural Philosophy, and at least six hours a-week Practical Physics; or, (b.) A Lecture Course in Chemistry, and at least six hours aweek Practical Chemistry. 5. The Council reserves the right of withholding the Bursaries for any year if, in the opinion of the Examiners, no candidate of sufficient merit present himself. The conditions of Examination are also liable to revision. 6. The Examination will commence on Friday, the 9th October, at 9 A.M. 1883-J. T. Ewen. 1884-G. Powrie. 1885-David Low. 1886-H. Japp. 1887-R. H. Adamson. 1889 { George Moncur, 1890-Prize of Ten Pounds-W. J. L. Cumming. PATRICK A. LOWSON MEMORIAL SCHOLARSHIP. Equal. This Scholarship, of not less than £60 per annum, is tenable for two years at this or any other University in the United Kingdom. Candidates, who must have attended some School in Dundee or Broughty Ferry for three years, may learn the conditions on which the Scholarship is held by applying to William Lowson, Esq., 107 Murraygate, Dundee, with whom applications must be lodged on or before 1st September in the year in which a vacancy occurs. The Scholarship shall not be open for competition to young men who, at the date appointed for lodging of appli cations, shall have been in attendance at a University for a longer period than one Session. The next competition will be held in October 1891. Candidates will be examined in Geometry, including the Elements of Trigonometry, and Algebra, and in two or more of the following subjects, chosen by the candidates themselves-viz., British History and Literature, Latin, Greek, French, German. GOVERNMENT AID TOWARDS THE INSTRUCTION OF SCIENCE TEACHERS. In accordance with a Minute adopted by the Right Honourable the Lords of the Committee of Her Majesty's Most Honourable Privy Council on Education, June 25, 1886 (Science Form, No. 1193), their Lordships are prepared to pay three-fourths of the fees for courses of Laboratory instruction in the Physical and Chemical Laboratories, and for courses in Mathematics and Mechanics, Physics, Chemistry, Biology, Physiology, and Botany, as stated below, for a limited number of Teachers engaged in Science Teaching, on condition that satisfactory terminal reports of their progress (to be ascertained by examination), and of their conduct, be received at the end of the Winter, Spring, and Summer Terms. Applications for this privilege have to be made to the Secretary to the Science and Art Department, South Kensington. The selection of the applicants rests with the Science and Art Department. The fees for the Session, from October to June, are :— For the Chemical Laboratory, including one set of Apparatus, For the Physical Laboratory, For course in Mathematics, of 90 Lectures, For Mechanics, of 60 Lectures, For Chemistry, of 90 Lectures, For Biology, of 90 Lectures, and Laboratory For Physiology, of 90 Lectures, £8 8 0 6 60 3 3 0 1 11 6 3 3 0 NOTE.-One-fourth of the fee for the whole Session must be paid by the Student on entrance, under the usual conditions of the College. The remaining three-fourths of the fee will be paid by the Department, in equal instalments, at the commencement of each term, subject, however, to the right of the Department to withhold payment of the second and third instalments should the reports not be satisfactory. The above fees for the Chemical Laboratory include also a portion of the apparatus. The Academical Year is divided as follows: 1. WINTER SESSION. Beginning Tuesday, 13th October 1891. Beginning Tuesday, 12th January 1892. 2. SUMMER SESSION or Third Term. Beginning Tuesday, 19th April 1892. The Anatomy Rooms will be opened for practical work on 1st October 1891. The Classes in Mathematics and Natural Philosophy are primarily arranged to meet the wants of the students who wish to prepare for the degrees of St Andrews University; they are also adapted, as far as possible, to the requirements of other examinations, such as those of the University of London. Students who wish to go through a systematic course of instruction in Mathematics and Natural Philosophy are advised to take, if possible, the following work along with their other classes during successive years : FIRST YEAR Junior Mathematics. Junior Natural Philosophy. SECOND YEAR— Intermediate Mathematics. Senior Natural Philosophy. Physical Laboratory Elementary Course, 6 to 12 hours per week. THIRD YEAR Senior Mathematics. Physical Laboratory Advanced Course, 6 to 12 hours per week. Students who, while unable to take all the classes recommended, wish to systematise their studies, are recommended to consult the Professor, with a view to following a course modified so as to suit their other arrangements: students will, of course, arrange their studies in other departments so as to best fulfil their ultimate intentions. Mathematics. The following Courses of Lectures are offered on the portions of Mathematics most frequently studied : JUNIOR CLASS. Monday, Wednesday, and Friday, 11-12 and 12–1 (during Arithmetic. Theory of pure Arithmetic, including numeration, notation, scales of notation, decimals, circulating decimals, factors, tests of divisibility, contracted methods of multiplication and division, evolution. Geometry.-Elementary conceptions and definitions, and the substance of Euclid, I. to IV., and VI., 1–19, 33. No attempt will be made to rehearse every proposition in class this being left for home work-but a connected and complete course covering the above ground will be given. Besides this, problems to be done at home will be set at every lecture, and about a third of the lecture hour will be given to their consideration. It is assumed that at home the students will read during this course the propositions of Euclid's works noted above, in anticipation of their discussion at each succeeding lecture. Algebra.-The elementary notions and simple rules will be treated, but problems in the mere elements of addition, &c., will |