[No. 31.


The following courses in literature and science are offered for the academic year which begins September 23, 1884. They are open to all properly qualified young men according to conditions varying somewhat in each department. Detailed statements as to the various subjects are given in the programmes of the departments of instruction on subsequent pages. A special Circular relating to College Courses has been issued.

The Annual Register giving detailed statements as to the regulations and work of the University will be sent on application.

B. L. GILDERSLEEVE, Professor of Greek.

(a) will direct the Greek Seminary. Twice weekly, through the year.

(b) will conduct a course of Practical Exercises in Greek. Twice weekly, from October to January.

(c) will lecture on the Greek Lyric Poets. Weekly, after the first of January.

(d) will give a course of lectures on the Syntax of the Greek Moods and Tenses.

(e) will hold a series of conferences on Greek Grammar. Weekly, during the second half-year.

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Weekly, through the year. Weekly, through the year. Weekly, through the year.

(e) Greek Prose Composition.
(f) Reading Latin at Sight.
(g) Latin Prose Composition.
(h) will give a series of conferences on Greek History. Weekly,
first half-year.

IRA REMSEN, Professor of Chemistry.

(a) will direct the Laboratory Work in Chemistry. Doily,
through the year.

(b) will direct the courses of lectures to advanced students.
(c) will lecture on General Chemistry. Four times weekly,
first half-year.

(d) will lecture on the Compounds of Carbons. Four times
weekly, second half-year.

H. A. ROWLAND, Professor of Physics.

(a) will lecture on Electricity and Magnetism. Four times weekly, through the year.

(b) will direct a course of advanced work in the Physical Laboratory. Daily, through the year.

(c) will conduct meetings for the discussion of current Physical literature. Weekly, through the year.

SIR WILLIAM THOMSON, Professor in the University of Glasgow. will give a course of eighteen lectures on Molecular Dynamics. In October, 1884.

H. B. ADAMS, Associate Professor of History.

(a) will direct the Seminary of Historical and Political Science.
Weekly, through the year.

will give the following courses:—
(b) History of Politics. Three times weekly, through the year.
(c) Medieval Church and State. Twice weekly, first half-year.
(d) the Italian Renaissance and the German Reformation. Twice
weekly, second half-year.

(e) the Modern State System. Twice weekly, through the year.
(ƒ) Introductory to the study of History. Weekly, first half-


JUNE, 1884.]

M. BLOOMFIELD, Associate Professor of Sanskrit.

will give courses in :

(a) Elementary Sanskrit.

(b) Advanced Sanskrit.

(c) Introduction into the Rig-Veda.

(d) Advanced Vedic Study.

(e) Introduction into Comparative Philology.

(f) Comparative Grammar of Greek.

W. K. BROOKS, Associate Professor of Morphology.

(a) will direct the work of the Marine Laboratory. (b) will lecture on the Elements of Zoology.

T. CRAIG, Associate Professor of Applied Mathematics.

(a) will direct a Mathematical Seminary. Weekly, through the year.

will give courses in:

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G. S. MORRIS, Lecturer on the History of Philosophy.
will lecture, during the first half-year, on :—

(a) History of Philosophy in Greece. Twice weekly.
(b) Ethics or the Science of Man. Twice weekly.
(c) Modern Philosophy.

H. N. MORSE, Associate Professor of Chemistry.

(a) will assist in directing the Laboratory Work of the undergraduate students in Chemistry.

(b) will lecture on Analytical Chemistry. Four times weekly, first half-year.

(e) will conduct a course in General Chemistry. Three times weekly, second half-year.

L. RABILLON, Lecturer on French Literature.

will give a series of lectures on French Literature (in French).

W. E. STORY, Associate Professor of Mathematics.

(a) will direct a Mathematical Seminary. Weekly, through

the year.

will give the following courses :

(b) General Introductory Course for Graduates. Five times weekly, through the year.

(c) Theory of Numbers. Twice weekly, first half-year. (d) Higher Algebra. Twice weekly, second half-year.

(e) Modern Synthetic Geometry. Three times weekly, first half-year.

(f) Quaternions. Three times weekly, second half-year. (g) Conic Sections. Twice weekly, through the year.

M. WARREN, Associate Professor of Latin.

(a) will direct the Latin Seminary. Twice weekly, through the year.

(b) will give during the first half-year a course of lectures on the Roman Satirists.

(c) will conduct during the second half-year a series of Practical Exercises in Latin.

will form classes for undergraduates in :

(d) Plautus; Terence. Three times weekly, first half-year. (e) Tacitus. Seven times in two weeks, second half-year. (f) Latin Prose Composition. Weekly, through the year. (g) Reading Latin at Sight. Once in two weeks, through the year.

W. HAND BROWNE, Examiner in English.

will conduct courses in English. Through the year.

R. T. ELY, Associate in Political Economy. will conduct courses in:

(a) Finance and Taxation. Three times weekly, through the


(b) Comparative Studies in European Administration. Weekly, through the year.

(c) Elements of Political Economy. Five times weekly, first half-year.

(d) History of Political Economy. Five times weekly, second half-year.

F. FRANKLIN, Associate in Mathematics. will give courses in :—

(a) Problems in Mechanics. Twice weekly, through the year. (b) Differential and Integral Calculus. Three times weekly, through the year.

(c) Theory of Equations. Three times weekly, first half-year. (d) Solid Analytical Geometry. Three times weekly, second half-year.

(e) Preparation for Matriculation in Trigonometry and Analytical Geometry.

J. F. JAMESON, Associate in History.

(a) will give a series of lessons upon the relation of Physical Geography to History.

(b) will teach French and English History. Three times weekly, through the year.

(c) will teach a class in the principles of the English and American Constitutions. Three times weekly, through the


(d) will teach a class in the history of Greece and Romę. Twice weekly, through the year.

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[No. 31.

H. A. TODD, Instructor in the Romance Languages.
(a) will give instruction in French. Daily, through the year.
(b) will give instruction to special students in Italian and

W. H. HOWELL, Chief Assistant in Biology.

(a) will direct the practical work of the undergraduate classes in Physiology and Histology.

(b) will give instruction in Plant Analysis.

E. H. KEISER, Assistant in Chemistry.

will assist in directing the work of the beginners in the Chemical Laboratory.

C. A. PERKINS, Assistant in Physics.

will assist in directing the work of the minor course students in Physics.

H. NEWELL, Instructor in Drawing.

will give instruction in free-hand and mechanical drawing, after 1 o'clock p. m. Daily, through the year.

C. L. WOODWORTH, Instructor in Elocution.

will give instruction in Vocal Culture. Daily, through the year.

O. LUGGER, Curator of the Biological Museum.

will have charge of the Museum of the Biological Laboratory.


Graduate, undergraduate, and special students are admitted to the University.

Advanced and graduate students are received with or without reference to their being candidates for a degree, and they are permitted to attend such lectures and exercises as they may individually select. They are not examined for admission to the University, but each instructor satisfies himself of the attainments of all who wish to follow his guidance before admitting them to his classes.

Undergraduate students of the following classes are received —(a) those who having passed a full matriculation examination are candidates for the degree of Bachelor of Arts, and who, on completing a definite amount of work in lines varying according to the needs or preferences of the student, are advanced to that degree;-(b) those who come with the intention of proceeding to the B. A. degree, but are from various causes unable at once to pass the examination for matriculation, and are admitted as candidates for it, if they show that their acquirements are such that they may reasonably be expected to complete the work in a moderate time;—(c) special students who do not aim at a university degree but desire only to prosecute one or more branches of study with the full advantages which the University affords to persons who are able to profit by them.

The next term will begin Tuesday, September 23, 1884, on which day the examinations for matriculation begin. The first week is devoted to the examination of candidates for admission and matriculation, and to the organization of classes. Instructions will be resumed Tuesday, September 30, 1884. The term of instruction closes on Friday, June 12, 1885. There will be a brief recess at the Christmas holidays and also in the early Spring.

For further information, during the summer vacation, letters should be addressed to the "Johns Hopkins University," Baltimore, Md., and not to the individual Professors, who are likely to be absent from the city.

JUNE, 1884.]



Graduate Courses.


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The exercises of this Seminary will consist of original work by the students, under the guidance of the Director, on a prescribed subject. After a few preparatory lectures the problem will be given to the class, and thereafter the students will be expected to make weekly reports of progress, which will be discussed, and from time to time new lines of research will be suggested. The subject for investigation in the first half of the ensuing year will be selected from the Theory of Numbers or Modern Geometry, and in the second half of the year from the Higher Algebra or Quaternions.

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[No. 31.

List of Papers read at the Mathematical Society.

G. BISSING.-On the degeneration of unicursal curves; a note on developable surfaces; unicursal curves in n-flat space; on curvature in n-flat


T. CRAIG.-On a certain class of transcendental functions.

E. W. DAVIS.-Some remarks on unicursal curves.

W. P. DURFEE.-A note on the divisibility of numbers; on the number of substitutions of n letters which leave k of them unaltered.

G. S. ELY.-A note on partitions.

F. FRANKLIN.—An elementary demonstration of Stirling's theorem; two


A. S. HATHAWAY.-A demonstration of a theorem of Clebsch; the reduction of quadratic forms to sums of squares; on a form for the residues of composite moduli; a note on cycles.

C. S. PEIRCE.-On the mode of representing negative quantity in the logic of relatives.

W. E. STORY.-On the intersection of linear and quadratic loci; a symbolical demonstration of Taylor's theorem; on a system of straight lines determined by two given lines; a note on ruled surfaces; on the equations which determine the directions of the axes of a quadric surface. J.J. SYLVESTER.-The relation of minor determinants of products to minors of the factors.

Four numbers making the sixth volume of the AMERICAN JOURNAL OF MATHEMATICS have been issued during the academic year and the first number of the seventh volume is now in press.


I. Advanced Course.


Electricity and Magnetism.

Four lectures weekly.

Meetings for the Discussion of Current Literature. Weekly.


Analytic Mechanics.

Three times weekly, first half-year.


Three times weekly, second half-year.

Partial Differential Equations.

Twice weekly, second half-year.



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Problems in Mechanics.

Twice weekly, through the year.

(All special students in Physics are expected to attend this course).

II. Special Course on Molecular Dynamics
by Sir Wm. Thomson.

Sir WILLIAM THOMSON, D. C. L., F. R. 8 L & E., etc., Professor of Physics in the University of Glasgow, will deliver in October next, a course of eighteen lectures on Molecular Dynamics. An introductory lecture will be given on Wednesday, October 1. The other lectures will follow on consecutive days.

Professors and students of physics from other institutions are invited to attend and arrangements will be made by which they may easily obtain temporary lodgings, provided an early intimation is received of their inten

tion to come. A registration fee of $5 will be required from such persons as follow the course, unless they are in other ways connected with this university.

III. Annual Course of Instruction for Undergraduates in General Physics.

This course will embrace experimental lectures, recitations, and examinations, five times a week throughout the year, with one half-day each week given to laboratory work. The subjects taken up will include Mechanics, Acoustics, Optics, Light, Heat, Electricity, and Magnetism.

This course should precede the study of Chemistry and Biology. A knowledge of Plane Trigonometry is essential for admission to it.

IV. Laboratory Work.

The Physical Laboratory is furnished with apparatus purchased from the best European and American makers, selected with special reference to investigations, and especially valuable for researches in electricity, magnetism, light, and heat. The laboratory will be open for work, daily through the year.

NOTE.-Candidates for the degree of Ph. D., who take Physics as a principal subject will be expected to attend Professor Rowland's lectures for at least two years; to work not less than two years in the laboratory or to show such attainments in the mathematical theories of Physics as may be regarded as an equivalent; to exhibit a familiarity with a selected group of subjects, such as are treated by the following authors:

History: Poggendorff, Grant (History of Physical Astronomy); Mechanics: Kirchhoff, Thomson & Tait, Poisson, Duhamel, Jacobi, Peirce, Resal, Routh, Newton, and (on special topics) Riemann, Beer, and Lamé;

Sound: Rayleigh, Helmholtz;

Optics: Fresnel (special memoirs), Billet, Verdet, Gauss (Dioptrische Untersuchungen), Young, Helmholtz (Physiologische Optik);

Heat: Clausius, Rankine, Verdet, Rühlmann, Briot, Fourier; Electricity and Magnetism: Maxwell (complete treatise), Faraday, Wiedemann, Mascart, De la Rive, Thomson (papers on Electricity and Magnetism).

Such candidates will also be required to present a thesis upon some subject in that branch of Physics upon which they have been especially engaged.


The rooms devoted to the Physical Laboratory have been open daily for the prosecution of advanced study and research, under the direction of Professor Rowland and Dr. Hastings.

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