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*31. Theory of Numbers.

Dr. LEHMER.

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

3 hrs., second half year.

32. Theory of Substitutions.

Dr. PUTNAM.

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

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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 1902-03.

PHYSICS.

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

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

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

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

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

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

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CONRAD LORING, B.S., 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 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 one-half of the deposit.

The Group Elective. Students who choose Physics in their Group Elective 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.

Courses 1 and 2A in Physics are prerequisite to Group Elective work in all departments of Natural Science. By special arrangement Course 4 may be substituted for Course 2A. In 1902-03 Course 4 or Course 15 will be offered, but not both.

Teachers' Certificates. Applicants for the teachers' recommendation in Physics, in making up the twenty units required, must include in their work Courses 1 and 3, with either Course 4 or Course 2A. See statements under these headings.

Beginning with May, 1903, twenty-four units of Physics will be required for the teachers' recommendation.

1. Elementary Physics.

Dr. BURGESS and Mr. KRAUS.

Hydrostatics, heat, light, sound, mechanics, magnetism, and electricity. Recitation once or twice a week, and laboratory exercises twice a week.

6 hrs., throughout the year; 3 units each half-year. Section I, Tu Th, 9-12; 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.

Assistant Professor LEWIS and

Lectures and recitations with experimental illustration, and assigned problems. Properties of matter, heat, sound, light, magnetism, and electricity, treated with reference to principles which underlie measurement in the Physical Laboratory, and other applications.

3 hrs., throughout the year. M W F.: Section I, Assistant Professor LEWIS, 9; Section II, 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).

and Mr. INCELL.

3. Physical Measurement. 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 properly varied 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. Prescribed, Sophomore year, in the Colleges of Engineering and Chemistry. Professor SLATE.

4. General Physics.

Lectures and recitations, with experimental illustration, on topics in heat, light, sound and electricity; giving prominence to subjects which are of importance as connected with the growth and the present condition of the science.

3 hrs., throughout the year. Tu Th, 11 and S, 9. Prerequisite: At least full Sophomore standing. The attention paid to methods of presentation makes this a profitable course for prospective teachers of elementary physics.

5. Analytic Mechanics. (G.E.)

Professor SLATE and Assistant Professor RAYMOND. The mathematical treatment of the important principles of dynamics and statics, fully illustrated by problems and applications.

4 hrs., throughout the year. Two sections. M Tu Th F, 8. Prerequisite: Course 9 or 3B in Mathematics. Prescribed, Junior year, in the Colleges of Engineering.

6. Harmonic Motion. (G.E.)

Assistant Professor RAYMOND.

The analytical treatment of wave-motion, with applications to sound, light, and electricity. Lectures.

2 hrs., second half-year. Tu Th, 10. Prerequisite: Course 5, first half-year, and Course 2A or 4. This course forms an alternative continuation of Course 5 in the second half-year.

7. Absolute Electrical Measurements. (G.E.)

Assistant Professor RAYMOND.

Lectures and laboratory exercises twice a week.

7 hrs., second half-year; 3 units. Lecture, W, 8. Laboratory, Tu Th, 1-4. Prerequisite: Course 5, first half-year, and Courses 1, 2A, 3, and 10. This course forms an alternative continuation of Course 5 in the second half-year. Elective, Junior year, in the College of Mechanics.

8. Theory of Light. (G. E.)

Lectures, with experimental illustration. Problems relating to the theory of optical instruments, treated by the methods of geometrical optics and of the wave-theory.

2 hrs., throughout the year, but may be taken for the first halfyear only. Tu Th, 11. Prerequisite: Course 2A or 4 in Physics; Course 9 or 3B in Mathematics.

9A. Molecular Physics.

Mr. KRAUS.

A descriptive study of the gaseous, liquid and solid states of matter. Supplementary to Course 2A, especially to work of Section I, and intermediate between Course 2A and Course 12. 2 hrs., first half-year. Prerequisite: Course 2A in Physics and Course 9 or 3B in Mathematics.

10. Electricity. (G. E.)

Assistant Professor RAYMOND.

Elements of the mathematical theory of electricity and magnetism, with some of the more important applications. Lectures.

2 hrs., first half-year. Tu Th, 10. Prerequisite: Course 2A or 4 in Physics; Course 9 or 3B in Mathematics. Elective, Junior year, in the College of Mechanics.

11. Spectroscopy. (G. E.)

Assistant Professor LEWIS.

Lectures, with experimental illustration, on methods and results of investigation, and spectroscopic theories.

2 hrs., throughout the year, but may be taken for the first halfyear only. M W, 11. Prerequisite: Course 8.

12. Theory of Heat and Thermodynamics. (G. E.) Dr. BURgess. Lectures twice a week.

2 hrs., second half-year. M W, 4. Prerequisite: Course 2A or 4 in Physics; Course 9 or 3B in Mathematics.

12A. Energetics. (G. E.)

Dr. BURGESS.

A continuation of Course 12, with applications to chemical and physical problems.

2 hrs., first half-year. To be given in 1903-04.

12в. Heat Measurements.

(G. E.)*

Dr. BURGESS.

Thermometry, Calorimetry, Pyrometry and general heat measurements, adapted for Chemists, Engineers and Physicists. One lecture and one laboratory exercise a week.

4 hrs., first half-year; 2 units.

13. Physical Optics. (G. E.)

Laboratory exercises twice a week.

Assistant Professor RAYMOND.

6 hrs., first half-year; 2 units. M F,

1-4.

* May be chosen in the Group Elective by special arrangement only.

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