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3 hrs., throughout the year. M W F, 1. Designed especially for teachers and prospective teachers of mathematics. Prerequisite: A course in formal logic.

19A. Differential Equations. (G.E.) Associate Professor EDWARDS. Theory and methods of solution of ordinary differential equations, followed by a short introduction to partial differential equations. 3 hrs., first half-year. M W F, 10. Prescribed, Junior year, in the College of Mechanics.

19в. Differential Equations. (G.E.) Associate Professor Edwards. 3 hrs., second half-year. M W F, 10. Elective to students who

have completed Course 19A.

*20. Selected Topics in Higher Mathematics.


Assistant Professor WILCZYNSKI.

A general introduction to some important methods in modern higher mathematics.

2 hrs., throughout the year.

20A. Theory of Probabilities.



An introduction to the simpler parts of the Theory of Probabilities. 1 hr., first half-year. Tu, 10. This course is prerequisite to Courses 10 and 11 in Economics.


[See Economics 11.]




Of the following courses it is expected that five or six will be offered each year. In 1903-04 these will be Courses 23, 24, 25, 26, 31, and 40. Students in order to select any of them must have previously taken the prerequisite intermediate courses; in most cases, at least Courses 9, 11, 14, and 15.

*21. Theory of Functions of Real Variables.

Professor STRINGHAM.

Simple and multiple integrals; line, surface, and space integrals; Laplace's Equation and its applications; series; geometrical applications.

2 hrs., throughout the year.

*Not to be given in 1903-04.

*22. Transformation Groups and Differential Equations.

Assistant Professor WILCZYNSKI.

An introduction to Lie's Theory; applications to the theory of functions, to the theory of invariants of linear differential equa

tions, and to hydrodynamics.

2 hrs., throughout the year.

23. Partial Differential Equations.

Associate Professor HASKELL.

Theory of definite integrals, Fourier's Theorem and applications, introduction to harmonic functions.

2 hrs., second half-year.

24. Theory of Functions of a Complex Variable.

Associate Professor HASKELL.

(Introductory course.) Lectures on the general theory of functions, with special reference to the ideas of Riemann.

3 hrs., throughout the year, Hours to be arranged.

25. Line Geometry.


Synthetic and analytic treatment of line geometry. Application of differential and integral calculus to ruled surfaces, space curves, congruences, complexes, and problems in optics.

3 hrs., throughout the year. M W F, 10.

26. Absolute Geometry.

Professor STRINGHAM.

An analytical treatment of the absolute geometry of space.

3 hrs., throughout the year. M W F, 2.

*27. Elliptic Functions.

Assistant Professor NOBLE.

Reduction of elliptic integrals, Abel's Theorem, development of elliptic functions in series, applications to various problems of geometry and mechanics.

3 hrs., second half-year. Prerequisite: Course 24.

*28. Abelian Functions.

Associate Professor HASKELL.

An advanced course in the theory of functions of a complex vari

able, with applications to the theory of higher plane curves.

3 hrs., throughout the year. Prerequisite: Course 24.

*Not to be given in 1903-04.

*29. Spherical Harmonics.

Associate Professor HASKELL.

Elements of the theory of spherical harmonics, with special reference to their application in the solution of certain physical problems.

2 hrs., second half-year.

*30. Theory of Algebraic Forms.


Theory of linear transformation, invariants and covariants of binary and ternary quantics. Applications to the theory of equations, and to higher plane curves.

3 hrs., first half-year.

31. Theory of Numbers.


Properties of whole numbers, both ordinary and complex, theory of congruences, residues of powers, primitive roots, quadratic forms.

3 hrs., first half-year. Hours to be arranged.

*32. Theory of Substitutions.


General properties of substitutions, theory of groups, algebraic resolution of equations, cyclotomic and Abelian equations.

3 hrs., first half-year.

*33. Linear Differential Equations.

3 hrs., second half-year.

Assistant Professor WILCZYNSKI.

*34. Mathematical Theory of Elasticity and Hydrodynamics.

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Conferences between members of the mathematical department and students engaged in higher mathematical work, for the discussion of questions related to their studies, and for the examination of recent mathematical literature: under the direction of Professor STRINGHAM. Meetings once a week. T, 2-4. Credit value to be determined in each case.

*Not to be given in 1903-04.


FREDERICK SLATE, B.S., Professor of Physics.

E. PERCIVAL LEWIS, Ph.D., Associate Professor of Physics.
WILLIAM J. RAYMOND, B.S., Assistant Professor of Physics.

GEORGE K. BURGESS, Sc.D., Instructor in Physics.

ELMER E. HALL, Ph.D., Instructor in Physics.

ARTHUR INCELL, M.S., Assistant in Physics.

CHARLES A. KRAUS, B.S., Assistant in Physics.

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LARRANCE PAGE, A.B., Assistant in Physics.

ALBERT N. SHELDON, Assistant in Physics.

ELLIS W. FURBUSH, Assistant in Physics.

WILLIAM R. STAMPER, Mechanician in the Department of Physics.

Courses 1 to 3 are fundamental and designed to meet the needs of students preparing for applications of Physics, or advanced work in the subject itself. Course 4 is especially designed for students in the Colleges of Letters and Social Sciences, but by special arrangement it may be substituted for Course 2A as a prerequisite for work in other departments. If properly accompanied by laboratory exercises, it may also serve as a basis for advanced study. Courses 2A and 4 are alternatives; credit towards graduation will not be allowed for both of them. Students who have completed Course 1 will profit greatly if they supplement the course of laboratory work regularly laid out. For credit on special and supplementary laboratory work see Course 18. The Physical Laboratory will be open five days a week throughout the year, and may be used, under the guidance of the instructors concerned, by advanced students.

Laboratory deposits are at the rate of five dollars a half-year for each laboratory exercise a week. The average amount returned to the student at the end of the half-year, after deducting for cost of materials actually used and for breakage of apparatus, is about onehalf of the deposit.

Students who choose Advanced Courses in Physics must include an adequate amount of laboratory exercises in the work chosen; the

instructors should be consulted on this point. Such students are strongly advised to take Course 5 in the Junior year. Notice that the first half-year of this course may be combined with Course 6 or Course 7 to form a year's work.

Teachers' Certificates. Twenty-four units of Physics will be required for the teacher's recommendation. Applicants for the recommendation in Physics, in making up this number of units, must include in their work Courses 1 and 3, with either Course 4 or Course 2A. See statements under these headings.

1. Elementary Physics.

Dr. BURGESS, Mr. KRAUS, and Mr. FURBUSH. Properties of matter, mechanics, heat, and sound. Laboratory exercises twice a week, preceded by a lecture or a recitation.

6 hrs., throughout the year; 3 units each half-year. Section I, Tu Th, 9-11; II, W, 1-4, and S, 9-12; III, M F, 1-4; IV, Tu Th, 1-4. Open to students who have passed the entrance examination in Physics. Prescribed, Freshman year, in the Colleges of Agriculture, Engineering, and Chemistry.

2A. General Physics.

Associate Professor LEWIS and Dr. E. E. HALL. Lectures with experimental illustration, recitations, and problems. Properties of matter, heat, sound, light, electricity, and magnetism, presented as a continuation of Course 1.

3 hrs., throughout the year. M W F.: Section I, Assistant Professor LEWIS, 9; Section II, Dr. HALL, 10. Open to students who have passed an examination covering the ground of Course 1. Prescribed, Sophomore year, in the Colleges of Agriculture and Chemistry (Section I); and Engineering (Section II).

3. Physical Measurement.

Dr. E. E. HALL and Mr. INCELL.

Experimental work requiring quantitative results. Methods are selected so as to show instructive relations of physical principles, and their adaptation to practical problems. The course is varied to some extent, to suit the needs of students in the different colleges. Laboratory exercises twice a week.

6 hrs., throughout the year; 2 units each half-year. Section I, M F, 1-4; II, Tu Th, 9-12; III, Tu Th, 1-4; IV, W, 1-4; S, 8-11. Prescribed, Sophomore year, in the Colleges of Engineering and Chemistry.

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