104A-104B. History of Mathematics. (2-2) Yr. Tu Th, 11.

CAJORI

A non-technical course, open to students who have some knowledge of the fundamental ideas of analytic geometry and calculus.

106. History of Physics. (2) II. M W, 11.

CAJORI

Development of the experimental method, evolution of laboratories, critical periods in the history of hypotheses.

109. Calculus: Advanced Course. (3) Either half-year.

I, Tu Th S, 9; II, M W F, 10.

MCDONALD, IRWIN

110A-110в. Advanced Calculus. (2-2) Yr. Tu Th, 8, 9.

HASKELL, NOBLE, BUCK, SHANE The differential equations, both ordinary and partial, which occur most frequently in the applications, with special stress on approximate numerical solutions. Definite integrals, multiple integrals, theory and use of infinite series, applications to practical problems. Primarily for students of engineering.

111a. Theory of Algebraic Equations. (3) I. M W F, 2.

Prerequisite: courses 8 and 9.

111B. Advanced Algebra. (3) II. M W F, 2. Prerequisite: courses 8 and 9.

BUCK

BUCK

Infinite series and products, continued fractions, theory of numbers.

114A–114в. Advanced Analytic Geometry. (3-3) Yr. M W F,

3.

LEHMER, SPERRY

Introduction to modern methods in analytic geometry.

Prerequisite: courses 6 and 9.

BERNSTEIN

*118. Algebra of Logic. (3) I. M W F, 9.
Mathematical treatment of logic, with applications.

119. Differential Equations. (3) Either half-year.
M W F, 9. Prerequisite: course 9.

120. Theory of Probability. (3) II. M W F, 9.

124A-124B. Vector Analysis. (2-2) Yr. Tu Th, 11.

125A-125B. Analytic Mechanics.

IRWIN, BUCK

BERNSTEIN

HASKELL

Prerequisite: course 109.

GRADUATE COURSES

Concerning conditions for admission to graduate courses see page 3 of this announcement.

203A-203B. History of Fundamental Concepts of the Calculus and Fluxions. (2-2) Yr. Lectures and seminar. W F, 4. *204. History of Algebra. Seminar. (2) I. W F, *205. History of Infinite Series. Seminar. (2) II. *211. Higher Plane Curves. (3) I. M W F, 3. *212. Algebraic Surfaces. (3) II. M W F, 3. #213. Synthetic Projective Geometry. (3) I. M W F, 2. 214. Geometry of Four Dimensions. (3) II. M W F, 1. 216. Differential Geometry. (3) I. M W F, 1.

CAJORI

4.

CAJORI

W F, 4.

CAJORI

HASKELL

LEHMER

LEHMER

LEHMER

SPERRY

217. Projective Differential Geometry. (3) II. M W F, 218At-218B. Logic of Mathematics. (2-2) Yr. Tu Th, 9.

BERNSTEIN

Analysis of the foundations of algebra and geometry. Designed especially for teachers and prospective teachers of mathematics. *220. Theory of Invariants. (3) I. Tu Th S, 9.

IRWIN

221. Introduction to Modern Higher Algebra. (3) II. Tu Th S, 9. IRWIN 222. Theory of Functions of a Real Variable. (2) I. Tu Th S, 11. IRWIN 223A. Partial Differential Equations. (3) I. M W F, 3.

BUCK

The important partial differential equations of applied mathematics. 223B. Special Analytic Functions. (3) II. M W F, 3.

PUTNAM

Definite integrals, gamma-function, hypergeometric function, Bessel's functions, elliptic integrals.

224A. Functions of a Complex Variable. (3) I. M W F, 8. MCDONALD 224B. Elliptic Functions. (3) II. Tu Th S, 9.

NOBLE

225. Theory of Differential Equations. (3) II. M W F, 8. MCDONALD *228. Seminar in the Foundations of Mathematics. (2) II. BERNSTEIN Tu Th, 10. Prerequisite: course 118 or course 218A-218B.

231. Theory of Numbers. (3) I. Tu Th S, 9.

232. Theory of Substitutions.

of algebraic equations.

(3) II. M W F, 2.

LEHMER

PUTNAM

Theory of groups of substitutions, with applications to the theory

f Not to be given first half-year 1923-24.

*Not to be given 1923-24, to be given 1924-25.

234. Theory of Continuous Groups. (3) I. M W F, 2.

HASKELL

Elements of continuous groups, with application to the theory of

differential equations.

251. Special Study and Research. Advanced students will be guided in their study by various members of the staff, as indicated:

(a) Higher Geometry (HASKELL); (b) Advanced Analysis (MCDONALD); (c) Higher Algebra (IRWIN)); (d) Theory of Numbers (LEHMER); (e) History of Mathematics (CAJORI).

299. Thesis for the Master's Degree.

MCDONALD, CAJORI

Advanced students will be guided in reading and research; frequent reports will be required. The particular aim of the seminar will be the training of students in independent investigation.

300 Ed. The Teaching of Mathematics in Secondary Schools. M W F, 3

(3) I. CAJORI

History of methods of teaching mathematics and a critical inquiry into present-day tendencies. For seniors and graduate students. This course will be accepted in partial satisfaction of the requirement in education for the certificate of completion of the teacher-training curriculum.

Mathematical Colloquium.

The STAFF

Meetings for the presentation of original work by members of the staff and graduate students.

COURSES IN OTHER DEPARTMENTS

Methods of Least Squares. (See Astronomy 107.)

Interpolation. (See Astronomy 108.)

Theoretical Astronomy. (See Astronomy 206.)

EINARSSON

SHANE LEUSCHNER

Introduction to Celestial Mechanics. (Astronomy 208A-208B.)

*

SHANE, LEUSCHNER

Not to be given 1923-24; probably to be given 1924–25.

MECHANICAL AND ELECTRICAL ENGINEERING

CLARENCE L. CORY, M.M.E., D.Eng., John W. Mackay, Jr. Professor of Electrical Engineering and Dean of the College of Mechanics (Chairman of the Department).

JOSEPH N. LECONTE, M.M.E., Professor of Engineering Mechanics. BENEDICT F. RABER, B.S., Professor of Mechanical Engineering. BALDWIN M. WOODS, Ph.D., Professor of Aerodynamics.

ARTHUR B. DOMONOSKE, M.S., Associate Professor of Experimental Engineering and Director of Shops.

HERBERT B. LANGILLE, A.B., Associate Professor of Machine Design and Mechanical Drawing.

DONALD H. ATHERTON, B.S., E.E., Assistant Professor of Mechanical Engineering.

LLEWELLYN M. K. BOELTER, M.S., Assistant Professor of Experimental Engineering.

FLOYD H. CHERRY, B.S., Assistant Professor of Electrical Engineering. GEORGE L, GREVES, M.S., Assistant Professor of Electrical Engineering. CHARLES F. GROSS, B.S., Assistant Professor of Marine Engineering and Naval Construction.

THOMAS C. MCFARLAND, B.S., Assistant Professor of Electrical Engineering.

BLAKE R. VANLEER, M.S., Assistant Professor of Mechanical Engineering.
VINCENT C. GEORGE, B.S., Instructor in Mechanical Engineering.
Daryl D. Davis, M.S., Instructor in Electrical Engineering.
REID P. CRIPPEN, B.S., Assistant in Electrical Engineering.
JAMES GEORGE, Assistant in Mechanics and Foreman of Ironwork.
LESTER E REUKEMA, B.S., Assistant in Electrical Engineering.

Laboratory Deposits.--Mechanical Engineering 8A-8B, 9A-9B, $10 per half-year; 107, 109, 117A-117B, 119A-119B, 124, 125, $5 per half-year. Electrical Engineering 111c-111D, $10 per half-year; 100c-100D, 110c, 117c-117D, $5 per half-year. Sixty per cent of the amount of these deposits is retained as a fee and the balance after deductions for breakage or loss of apparatus, is returned to the student.

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 on the thesis.

Sec. 1, M F, 1-4; Sec. 2, Tu Th, 9-12; Sec. 3, Tu Th, 1-4. To meet the needs of those students in engineering who were unable to obtain a high school course in geometrical drawing.

Use of instruments; lettering; geometrical problems; and some technical drawings.

1. Elements of Heat Power Engineering. (3) I.

LANGILLE

M W F, 8. Prerequisite: Physics 1A-1B and Mathematics 3A-3b. For students enrolled in colleges other than Mechanics.

Fundamental consideration of fuels, combustion, steam, boilers, furnaces, chimneys, steam engines, steam turbines and auxiliaries; internal combustion engines.

2. Descriptive Geometry. (3) Either half-year.

CHERRY 1-4;

Lectures: Sec. 1, F, 9; Sec. 2, W, 1. Drafting: Sec. 1, M F, Sec. 2, Tu Th, 9-12; Sec. 3, Tu Th, 1-4.

Prerequisite: geometrical drawing and Mathematics 3A. Prescribed in the first half-year for sophomores in the College of Mechanics and in the second half-year for sophomores in the Colleges of Mining and Civil Engineering.

Lectures and drafting upon the fundamental principles of descriptive geometry and their application to engineering problems.

6. Machine Drawing and Design. (5) II.

LANGILLE

Lectures: M W F, 9. Drafting: Sec. 1, M F, 1-4; Sec. 2, Tu Th, 9-12; Sec. 3, Tu Th, 1-4. Prerequisite: course 2.

A study of the theory underlying the design of machine elements from the standpoint of strength and of motion in machines. Application to the design of simple machine parts in the drafting room, with emphasis upon the production of drawings which conform with standard practice.

8A-8B. Shop Work, Pattern Making. (2-2) Yr. Beginning either halfATHERTON

year.

Sec. 1, M F, 1-4; Sec. 2, Tu Th, 9-12; Sec. 3, Tu Th, 1-4; Sec. 4, W, 1-4, S, 9-12.

Fundamentals of pattern making, embracing joints, stock, sharpening and care of tools and machines, shrinkage, draft, fillets, finish allowance, glueing, templets, core prints, strickles, segments, finishing and painting. In the second semester, construction of patterns for gear pinion, bevel gear pinion, worm, and 16-inch propeller.

9A-9B. Shop Work, Machine Work in Iron. (2-2) Yr. Beginning either half-year.

J. GEORGE

Sec. 1, M F, 1-4; Sec. 2, Tu Th, 9-12; Sec. 3, Tu Th, 1-4; Sec. 4, W, 1-4, S,

9-12.

Bench work, chipping and filing, the use of taps and dies, grinding. Exercises on the drill press, the shaper, the planer, the lathe, and the milling machine. One hour per week to be devoted to lectures.