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For courses on Greek, Roman, Ecclesiastical, Constitutional History, Roman Law, Political Science, and Political Economy, qualifying for M.A. with Honours in History, see under "Examinations".

MATHEMATICS.

FOUNDED IN 1505.

Patrons-THE UNIVERSITY COURT.

Professors-1860 (1851) Frederick Fuller, M.A., LL. D., retired 1878. 1878 George Pirie, M.A., LL.D., died 1904.

1904 HECTOR MUNRO MACDONALD, M. A., F.R.S.

There will be five Mathematical Classes.

The Graduation Class will assume a sound knowledge of Mathematics on the intermediate standard of the Preliminary Examination; the part of the session before Christmas will be devoted to plane geometry, pure and analytical, elementary solid geometry, spherical geometry, and mensuration. The second term will be taken up with a course of Trigonometry and of Algebra-permutations, binomial theorem, scales of notation, interest, annuities, indeterminate equations, calculation of logarithms, elementary theory of equations, solution of numerical equations, infinite series, and the complex variable.

In the third term the Graduation Class will be divided, a revision course being provided for one portion and a continuation course for the other. The subjects treated in the continuation course will be: Higher Algebra and Trigonometry, determinants, complex numbers, theory of equations and elementary analysis.

The Advanced Graduation Class is intended for students who wish to devote a second year to Mathematics. The subjects treated in this course will be: Analytical Geometry, Spherical Trigonometry, Elementary Differential and Integral Calculus and Elementary Differential Equations.

The Intermediate Honours Class is intended for candidates for Mathematical Honours. The subjects of the course will be: Analytical Geometry, Spherical Trigonometry, Differential and Integral Calculus.

The Honours Classes (Junior and Senior) will meet three days a week, two hours each day. The Lectures will be arranged as three courses, two of which should be taken in one year and the more advanced the following year.

Prizes will be offered at the commencement of the winter term to students entering the Intermediate Honours Class, for the best knowledge of the subjects treated in the continuation Ordinary course during the previous Summer term, and to Honours students for the best knowledge of the subjects

treated in the Honours courses during the previous Summer term.

All students are expected to provide themselves with tables of logarithms.

The following books may be consulted in connection with the lectures :

Geometry-Casey's "Sequel to Euclid ".

Algebra-Smith, or Hall and Knight. Advanced students, Chrystal.
Trigonometry-Todhunter. Advanced students, Hobson.

Conic Sections-C. Taylor, Russell.

Theory of Equations-Burnside and Panton, or Todhunter.

Differential and Integral Calculus-Edwards, Williamson, Greenhill or Osgood. Analytical Geometry-Casey, Salmon, Smith.

Spherical Trigonometry-Todhunter, McClelland and Preston.

Higher Algebra-Elliott's "Algebra of Quantics," Salmon.

Higher Plane Curves-Salmon.

Geometry of Three Dimensions-Smith, Salmon.

Differential Equations-Forsyth.

In teaching and in examining exercises the Professor is aided by his Assistant.

SURVEYING. Three times a week in the Third (Summer) Term.

NATURAL PHILOSOPHY.

FOUNDED IN 1505.

Patrons--THE UNIVERSITY COURT.

Professors-1860 (1845) David Thomson, M.A., died 1880.
1880 CHARLES NIVEN, M. A., D.Sc., F.R.S.

A. ARTS AND SCIENCE.

The Classes in Natural Philosophy are:

1. The Ordinary Graduation Class.

2. The Advanced Graduation Class.

3. The Honours Class.

4. The Physics Class.

5. The Class in Practical Physics.

I.

The Ordinary Graduation Class meets daily at 2 P.M. during the first two terms. It will be continued during the third term, on days and at hours to be subsequently arranged, for those students who intend to proceed to the Honours or Advanced Graduation Classes of the following Session. A section of the class will also meet for additional instruction in the work of the first two terms.

The subjects treated in the Ordinary Class are:

1. Dynamics, including the statics and kinetics of solids, liquids and gases.

2. Properties of matter, including the elements of the theory of elasticity and capillarity, and the dynamical theory of gases.

3. Heat, including the definition and measurement of temperature, nature and measurement of heat, its sources, effects and modes of transference. Applications to heat engines and the elements of meteorology.

4. Light, including photometry, the laws of reflection and refraction, the properties of mirrors, lenses and optical instruments in general, the radiation and absorption of light with spectrum analysis, fluorescence.

5. Electricity and magnetism, including:

(a) Statical electricity, electrical machines, electrometers, and atmospheric electricity.

(b) Magnetism, the magnetic properties of iron and other metals, terrestrial magnetism.

(c) Current electricity, including the magnetic action of currents, laws of induction, electrolysis, construction and use of dynamo-electric machinery, thermoelectricity, electrical measurements and their practical application.

6. Sound, its mode of propagation, properties of musical instruments, nature of quality, consonance and scales.

The course for session 1915-1916 in the Ordinary Class will comprise Nos. 1, 2, 3, 4 and 6 of the above groups, and the subject will be treated so as to require only the elements of mathematics.

II.

The Advanced Graduation Class will meet during the first two terms on Mondays and Thursdays at 11.45. In it those branches of physics will be discussed which were not taken up in the Ordinary Class of the previous session. The subjects will be treated experimentally and theoretically, but so as not to require the introduction of Advanced Mathematics.

Where Light forms part of this Course, the phenomena of interference, diffraction and polarisation will be considered.

On Tuesdays the Class will receive practical instruction in physical measurements.

During Session 1915-1916, the subjects treated will be Sound and Light, with portions of the Theory of Heat.

III.

The Honours Class will meet on Mondays and Thursdays at 11.45 during the first two terms for the elementary treatment, experimental and theoretical, of those branches of physics which were not taken up in the Ordinary Class during the previous

session. On Tuesdays the class meets at the same hour for the more mathematical development of these subjects and also of the Theory of Heat.

When Light forms part of the Honours Course, the phenomena of interference, diffraction and polarisation will be included.

The special subjects discussed in the Session 1915-1916 will be Sound and Light, and during Session 1916-1917, Electricity and Magnetism.

During the third term lectures will be given on the mathematical theories of Statics, Dynamics and Hydrostatics.

The following books may be read in connection with the lectures:

General Physics—

Deschanel's "Natural Philosophy," edited by J. D. Everett.
Watson's "Physics".

Elementary Mechanics

Elementary Dynamics," by W. M. Hicks, or by O. J. Lodge. Elementary Manuals on "Statics," "Dynamics,'

Glazebrook.

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"Statics," by Routh or by Loney, or by Lamb.

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'Hydrostatics," by R. T.

Dynamics," by Williamson and Tarleton, or by Loney, or by Lamb. "Hydrostatics," by A. G. Greenhill.

Elementary Heat

Part II. of Deschanel's "Natural Philosophy".

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Elementary Manual of Heat," by R. T. Glazebrook.

Edser's "Heat for Advanced Students".

"Properties of Matter," by Poynting and Thomson.

Advanced Heat-

Maxwell's "Theory of Heat".

Preston's "Theory of Heat".

"Heat," by Poynting and Thomson.

Elementary Light

"Elementary Manual of Light," by R. T. Glazebrook.

Part IV. of Deschanel's "Natural Philosophy". (Last edition.) Advanced Light

Part IV. of Deschanel's "Natural Philosophy". (Last edition.)

Glazebrook's "Physical Optics".

Preston's "Theory of Light".

"Light," by P. G. Tait.

"Theory of Light" by Schuster.

Elementary Sound

"Elementary Lessons on Sound," by W. H. Stone.
"Sound," by Profs. Poynting and J. J. Thomson.

Advanced Sound

"Treatise on Sound," by Lord Rayleigh.

Elementary Electricity and Magnetism

Part III. of Deschanel's "Natural Philosophy" (older editions).

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Elementary Lessons on Electricity and Magnetism," by S. P. Thompson. "Electricity, and Magnetism," by Glazebrook.

Advanced Electricity and Magnetism—

"Electricity," by J. D. Everett, being Part III. of Deschanel's "Natural Philosophy". (Last edition.)

"Elements of Electricity and Magnetism," by J. J. Thomson.

"Absolute Measurements in Electricity and Magnetism," by A. Gray.

Lord Kelvin's collected "Electrical Papers".

Maxwell's "Electricity and Magnetism".

Electricity and Magnetism, by Poynting and Thomson.

IV.

The Class of Physics, arranged primarily for Medical students. is also recognised as a half-course for students in Arts and Science. It meets daily during the summer term at 12 noon. The course embraces :

I. The statics and kinetics of solids, liquids and gases.

Under this head are included, besides the ordinary elements of mechanics, the elementary theory of elasticity, the flow of liquids in tubes, and the elements of capillarity.

II. The rudiments of sound, light, heat, electricity and magnetism.

In the lectures not more mathematics is employed than can be followed by students who have passed the Preliminary Examination, and special attention is given to those parts of the subject which have been found to possess medical applications.

A class for practical work meets two or three days in the week.

Students may read, in connection with the lectures, one or more of the following Text-books: Balfour Stewart's "Lessons in Elementary Physics"; Daniell's "Principles of Physics"; Ganot's "Physics" (translated by Atkinson); Deschanel's "Natural Philosophy" (translated by Everett); Wundt's "La Physique Médicale" (translated into French by Monoyer); Lehfeldt's "Physics"; Candy's "Physics for Medical Students".

Fee, £3 3s.

V.

The physical laboratory is open to students for instruction in physical measurements from 9.30 to 12.30 P.M. on Tuesdays and Thursdays during the Winter Session, and three days per week during the Summer Session.

The course of instruction includes: the use of scales, the sextant, measurement of gravity, friction, elastic constants, thermal constants, the earth's magnetism, magnetic properties of iron, etc., measurements of electric currents, electrical resistance and electromotive forces, indices of refraction, properties of lenses, wave lengths of light, etc., etc.

Students are recommended to read in connection with their practical work one or other of these works:

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