at a Scottish University, will be exempted from examination in the subjects covered by the degree or certificates. All students -graduates as well as non-graduates-will be examined in New Testament Greek, and those whose certificates in their progress to a degree do not cover Greek, Latin, Moral Philosophy, and Hebrew, will, in addition, be examined in any or all of those subjects not included.

Students who began their course before the passing of the Act 1897 will, if they intimate a desire to this effect, be examined in the subjects formerly required for the degree of M.A. — viz. : Latin, Greek, Logic, Moral Philosophy, Mathematics, Natural Philosophy, and English Literature, together with New Testament Greek and Hebrew.

The Entrance Examination will take place at the several Universities on dates to be intimated in the July number of 'Life and Work.'

University College, Dundee.

THIS College was founded and endowed in 1880, and was affiliated to and made to form part of the University of St Andrews on 15th January 1897.

Principal and Professor of Anatomy.

JOHN YULE MACKAY, M.D., LL.D.

SYLLABUS OF CLASSES.

MATHEMATICS (PURE AND APPLIED).

There are Six Classes in this department. Attendance on the Second is necessary for all who take Mathematics in their Degree Examination; attendance on the Third and on the Fifth is necessary for all who intend to take the B.Sc. Degree in Engineering; the Third, Fourth, Fifth, and Sixth Classes are intended for Students who take Mathematics and Natural Philosophy as the principal subjects in their Degree Examination.

Pure Mathematics.

I. JUNIOR CLASS.-Daily, 12-1 (during the Winter Session). Arithmetic.-Theory of pure Arithmetic, including the study of elementary principles and general methods.

Geometry.-Elementary conceptions and definitions, and the substance of Euclid, I. to IV., and VI., 1-19, 33. 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.

Algebra.-The course will include the study of the rule of signs, fractional multiplication, factors, and multiples; equations, simple and quadratic; definition of algebraic terms; identities, ratio, proportion, arithmetical progression.

Trigonometry.-Measurement of angles; definition and numerical values of trigonometrical ratios; easy questions involving right-angled triangles.

TEXT-BOOKS.-Brook-Smith's Arithmetic; any modern edition of Euclid's elements-that, for example, of Mackay, Nixon, or Langley and Phillips; the Elementary Algebra of Langley and Bradly, Hall and Knight, or Charles Smith; the Elementary Trigonometry of Lock, or Hobson and Jessop.

One of the hours in each week will be given to tutorial work.

II. ORDINARY CLASS.-Daily, 10-11 (during the Winter

Session).

Geometry. The work will be taken up at the point reached by the Junior Class, and, as far as possible, the following parts of the subject will be studied: Elements of modern geometry and of

solid geometry; elements of co-ordinate geometry applied to the straight line, the circle, and the simpler properties of conic

sections.

Algebra.-Indices and surds, geometrical and harmonical progressions, permutations and combinations, binomial theorem, logarithms both in application and in theory, the nature of series, exponential series, approximations by means of series, the elements of the theory of equations.

Trigonometry.-Continuation of Junior Class work to trigonometrical ratios of angles of any magnitude, and of the sums of angles; multiple angles, division of angles; nature of trigonometrical tables and their use, principle of proportional parts; solution of triangles; Demoivre's theorem.

TEXT-BOOKS.-Casey's Sequel to Euclid; Wilson's Solid Geometry and Conic Sections; Vyvyan's Analytical Geometry, and Baker's Examples; Todhunter's Algebra for Colleges and Schools; C. Smith's Treatise on Algebra; Hall and Knight's Higher Algebra; Chrystal's Algebra; The Elementary Trigonometry of Lock, or Hobson and Jessop; Todhunter's Plane Trigonometry.

III. JUNIOR HONOURS CLASS.-Daily (during the Winter Session). The work of this class will, as far as possible, include Higher Algebra, Trigonometry, and Co-ordinate Geometry; Differential and Integral Calculus.

TEXTBOOKS. Salmon's Higher Algebra; Smith's Conic Sections; Todhunter's Theory of Equations; Burnside and Panton's Theory of Equations; Lock's Higher Trigonometry; Todhunter's, or Hobson's Plane Trigonometry; Todhunter's, or Williamson's Differential Calculus; Todhunter's Integral Calculus; Lamb's Infinitesimal Calculus.

One hour in each week will be devoted to tutorial work.

IV. SENIOR HONOURS CLASS.-A senior Honours Class will be offered at such hours as may prove convenient. The work taken will be adapted to the requirements for the Honours Degree in Arts and the Final Science Examination. The wants of Students will be considered, and the subjects chosen will be such as Analytical Solid Geometry, Higher Algebra, Differential Equations, Finite Differences, Quaternions.

TUTORIAL CLASS. - This Class will be conducted by Mr Norrie three times a week; one of the meetings will be on Friday from 12 to 1, the other two will be fixed at the beginning of the Session.

Applied Mathematics.

Two Courses will be offered, and will be adapted to the needs of Students preparing for the Degrees in Science.

V. GENERAL CLASS. -Twice weekly during the Winter Session.

The work will include Analytical Statics, Attraction, Elasticity, and Elementary Dynamics of a Particle.

VI. ADVANCED CLASS. -This Class will meet twenty to twenty-five times, at such hours as may be arranged.

It will be occupied with such of the following subjects as may be desired by students :

1. Higher Analytical Statics and Dynamics of a Particle. 2. Rigid Dynamics.

3. Hydrodynamics.

4. Mathematical Theories of Sound and Light. 5. Astronomy.

Laboratory.

A Mechanical Laboratory is provided, which will be used both for experimental illustration of the lectures and for ordinary practical work in Mechanics and Hydrodynamics. It will be available as may be convenient.

The various lectures will be independent of any particular Textbooks, but those mentioned are suggested as likely to be useful to Students.

NATURAL PHILOSOPHY.

Physics.

The work in this Department will consist of—

I. ELEMENTARY COURSE OF 100 LECTURES ON PHYSICS, including Elementary Dynamics, during the Winter Session. Daily, except Saturday, 9-10 A.м.

Text-Books.-Blaikie's Elements of Dynamics; Oliver Lodge's Elementary Mechanics; Watson's Text-book of Physics; Knott's Physics. This class qualifies for Arts, Science, and Medicine. The course will be so arranged as to enable students of Medicine, by attending 50 lectures, to cover the ground for their First Professional Examination. Attendance at the full course, however, is highly advisable.

There will be a tutorial class of one hour a-week in connection with this course.

For practical work in the Laboratory see IV.