115. Theory of Numbers.

Dr. WRIGHT.

Elementary properties of numbers, theory of congruences, residues of powers, primitive roots, quadratic forms.

3 hrs., second half-year. M W F, 9.

120. Theory of Probabilities: Advanced Course. Mr. MICHELBACHER. 3 hrs., second half-year. M W F, 8. Prerequisite: course 20 and a thorough course in calculus.

GRADUATE COURSES

Assistant Professor MCDONALD.

201-202. Mathematical Seminar.

Advanced students will be guided in reading and research. Frequent reports will be required, and the particular aim of the seminar is the training of students in independent investigation.

Tu Th, 10, and special appointments. Credit value, 3 to 5 units each half-year, dependent on amount and quality of work done.

218A-218B. Logic of Mathematics.

Dr. BERNSTEIN.

Analysis of the foundation principles of geometry and algebra.

2 hrs., throughout the year. Tu Th, 9. Designed especially for teachers and prospective teachers of mathematics.

222. Theory of Functions of a Real Variable.

3 hrs., first half-year. M W F, 3.

223. Partial Differential Equations.

Dr. IRWIN.

Assistant Professor WOODS.

The important partial differential equations of applied mathematics. 3 hrs., second half-year. M W F, 2.

224. Theory of Functions of a Complex Variable. Professor EDWARDS. 3 hrs., first half-year. M W F, 10.

*Not to be given, 1915-16.

Associate Professor NOBLE.

*225. Elliptic Functions.

3 hrs., second half-year. M W F, 2.

*227. Differential Geometry.

Dr. BUCK.

Application of differential and integral calculus to curves and surfaces. 3 hrs., second half-year.

228A-228B. Modern Analytic Geometry.

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

231. Theory of Numbers.

3 hrs., first half-year. M W F, 9.

*233. Theory of Groups. Part I.

Professor HASKELL.

Associate Professor LEHMER.

Professor HASKELL.

Theory of groups of substitution, with application to the theory of

algebraic equations.

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

*234. Theory of Groups. Part II.

Professor HASKELL.

Elements of continuous groups, with application to the theory of differential equations.

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

Method of Least Squares. [See Astronomy 107.]

omy 108.]

Professor SLATE.

Dr. EINARSSON.

Dr. NICHOLSON.

Interpolation, Use of Tables and Mechanical Quadratures. [See Astron

Theoretical Astronomy. [See Astronomy 206.] Professor LEUSCHNER.

Descriptive Geometry. [See Drawing 2.]

Associate Professor KOWER and Assistant Professor WYTHE.

*Not to be given, 1915-16.

MECHANICAL AND ELECTRICAL ENGINEERING

CLARENCE L. CORY, M.M.E., D.Eng., John W. Mackay Jr., Professor of Electrical Engineering; Dean of the College of Mechanics.

JOSEPH N. LECONTE, M.M.E., Professor of Engineering Mechanics.

Professor of Mechanical Engineering.

HARMON F. FISCHER, B.S., Assistant Professor of Electrical Engineering. WILLIAM F. MARTIN, M.C.E., Assistant Professor of Engineering Me chanics.

REUBEN S. TOUR, M.S., Assistant Professor of Gas Engineering.
HERBERT B. LANGILLE, A.B., Assistant Professor of Machine Design and
Mechanical Drawing.

FRED E. PERNOT, Ph.D., Assistant Professor of Electrical Engineering.
BALDWIN M. WOODS, Ph.D., Assistant Professor of Theoretical Mechanics.
GEORGE E. Cox, Assistant in Mechanics and Foreman of Woodwork.
JAMES GEORGE, Assistant in Mechanics and Foreman of Ironwork.

LABORATORY FEES

Laboratory deposits in this department are at the rate of $5 a halfyear for each laboratory or mechanical practice exercise a week. The average amount returned to the student at the end of the half-year is about two-fifths of the deposit.

HONORS

Students will be recommended for honors on the basis of the work done in the regular curriculum of the senior year. Particular emphasis will be placed upon the thesis.

TEACHER'S CERTIFICATE

Students who are graduated from the five-year course in the College of Mechanics may obtain the recommendation for the high school certificate, provided they have satisfied the necessary educational requirement

MECHANICAL ENGINEERING

LOWER DIVISION COURSES

1A. Elements of Steam Engineering.

Assistant Professor TOUR.

Fundamental consideration of fuels, combustion, steam; boilers, furnaces, chimneys, etc.; steam engines, condensors, etc.

3 hrs., first half-year. Two sections: I, M W F, 8; II, M W F, 9. Prerequisite: Physics 1A-1B, Chemistry 1A-1B, Mathematics 3A-3B.

8A. Mechanical Practice.

Shop work in wood, including pattern making.

Mr. Cox.

6 hrs., first half-year; 2 units. Four sections: I, M F, 1–4; II, Tu Th, 9-12; III, Tu Th, 1-4; IV, W, 1-4, and S, 8-11.

8B. Mechanical Practice.

Continuation of course 8A.

Mr. Cox.

6 hrs., second half-year; 2 units. Three sections: I, M F, 1-4; II, Tu Th, 9-12; III, Tu Th, 1-4.

9A. Mechanical Practice.

Shop work in iron, including machine work.

Mr. GEORGE.

6 hrs., first half-year; 2 units. Four sections; I, M F, 1-4; II, Tu Th, 9-12; III, Tu Th, 1-4; IV, W, 1-4, and S, 8-11.

Course 8A or 8B.

9B. Mechanical Practice.

Continuation of course 9A.

Prerequisite:

Mr. GEORGE.

6 hrs., second half-year; 2 units. Three sections: I, Tu Th, 9–12; II, Tu Th, 1–4; III, M F, 1–4.

NOTE.-Properly qualified students in any college of the University may elect a total of one year of shop work such as course 8A, first halfyear, followed by course 9A, second half-year.

UPPER DIVISION COURSES

102A-102B. Engineering Mechanics.

Professor LECONTE and Assistant Professor MARTIN. A course in theoretical mechanics designed particularly with reference to the needs of students in engineering.

3 hrs., throughout the year. Four sections: I, M W F, 8 (primarily for mining students); II, M W F, 9 (primarily for mechanics students); III, M W F, 10 (primarily for civil engineering students); IV, Tu Th S, 8 (primarily for mechanics students). Prerequisite: Mathematics 3A-3B, 4A-4B, or 9 and 109.

103A. Hydraulics.

Professor LECONTE.

The principles of hydraulics with special reference to their application in the development of power.

3 hrs., first half-year. M W F, 8. Prerequisite: course 102A-102B, or Physics 105A-105B.

Professor LECONTE.

103B. Hydraulic Machinery. Discussion of the theory underlying the design of hydraulic motors, pumps, and other apparatus operated through the agency of water. 3 hrs., second half year. M W F, 8. Prerequisite course 102A-102B, or Physics 105A-105в, and course 103A, or Civil Engineering 110.

104A-104B. Kinematics. Assistant Professor WOODS. Theoretical: Treatment of motion without reference to the cause which produces it, comprehending the study of pure mechanism, or the mutual dependence of the movements in the parts of a machine. Applied: Application of the preceding to the various kinematic problems connected with machine design and construction, such as link-motion, transmission by rolling and sliding contact, teeth of wheels, cams, form and proportions of the steam engine and other motors.

2 hrs., throughout the year. M F, 8. Prerequisite: course 102A-102B, or Physics 105A-105B.

104c-104D. Kinematics.

Assistant Professor LANGILLE.

Draughting and designing; to be taken only in conjunction with course 104A-104B.

3 hrs., throughout the year; 1 unit each half-year. W, 1-4.

105A. Thermodynamics.

Assistant Professor WOODS.

Relations between heat and mechanical energy. Thermal properties of perfect gases, saturated vapors, and superheated vapors.

3 hrs., first half-year. M W F, 10. Prerequisite: course 102A-102B, or Physics 105A-105B.

105B. Heat Engines: Testing, Construction, and Operation.

Assistant Professor WOODS. Analysis of the cycles of steam, gas, oil, and air engines, and of refrigerating machinery, by means of the pressure, volume, and temperature; entropy diagrams. Discussion of the effects of compounding, jacketing, reheating, and superheating. Steam boilers, gas engines, gas producers, air compressors, and steam turbines. Methods of testing. Engine and boiler accessories. 3 hrs., second half-year. M W F, 10.

106A. Machine Design.

Prerequisite: course 105A.

Assistant Professor LANGILLE.

Elementary machine design. Work at the drawing board, supplemented by lectures upon the principles underlying machine design.

6 hrs., second half-year; 3 units. Two sections: I, M F, 1–4; II, Tu Th, 1-4; one lecture per week to be arranged. Prerequisite: Drawing 2A.

106B. Machine Design.

Assistant Professor LANGILLE. Continuation of course 106A. Design of machine parts and finally of a typical machine suitable for illustrating the general principles of engineering design.

6 hrs., first half-year; 2 units. M F, 1-4, Prerequisite: course 106A.