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116. Mathematical Theory of Investment.

Assistant Professor WOODS. Intended primarily for juniors and seniors in the engineering colleges. 2 hrs., second half-year. M W, 11. Prerequisite: courses 4A-4B or their equivalents.

117. Calculus of Finite Differences.

Dr. WILLIAMS.

2 hrs., second half-year. Tu Th, 8. Prerequisite: course 9.

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3 hrs., first half-year. M W F, 8. Prerequisite: course 9.

*122. History of Mathematics.

2 hrs., second half-year. Tu Th, 11.

Professor HASKELL.

GRADUATE COURSES

201-202. Mathematical Seminar.

Assistant Professor MCDONALD.

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.

212. Theory of Algebraic Surfaces.

3 hrs., second half-year.

218A-218B. Logic of Mathematics.

Associate Professor LEHMER.

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.

219. History and Significance of Central Mathematical Ideas and Doctrine.

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

Professor KEYSER.

220. Seminar in the Foundations of Mathematics.

Professor KEYSER.

2 hrs., first half-year. Th, 2-4.

*222. Theory of Functions of a Real Variable. 3 hrs., first half-year. M W F, 3.

*Not to be given, 1916-17.

Dr. IRWIN.

223. Partial Differential Equations.

Assistant Professor Woods.

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

224A-224B. Theory of Functions of a Complex Variable. Dr. IRWIN. 3 hrs., throughout the year. M W F, 2.

*225. Elliptic Functions.

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

*227. Differential Geometry.

Associate Professor NOBLE.

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 Professer LEHMER.

Associate Professor PUTNAM.

Theory of groups of substitutions, with application to the theory of algebraic equations.

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

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. M W F, 2.

*235. Seminar in Group-theory.

Hours and credit to be arranged.

*237. Calculus of Variations.

Professor HASKELL.

Associate Professor NOBLE.

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

237B. Calculus of Variations.

Advanced Course.

Associate Professor NOBLE.

3 hrs., second half-year.

COURSES IN OTHER DEPARTMENTS

Analytic Mechanics. [See Physics 105.]

Method of Least Squares. [See Astronomy 107.]

Professor SLATE.

Dr. EINARSSON.

Dr. EINARSSON.

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

omy 108.]

Theoretical Astronomy. [See Astronomy 206.] Professor LEUSCHNER. Descriptive Geometry. [See Drawing 2.]

Associate Professor KOWER and Assistant Professor WYTHE.

*Not to be given, 1916-17.

MECHANICAL AND ELECTRICAL ENGINEERING

CLARENCE L. CORY, M.M.E., D.Eng., John W. Mackay, Jr. Professor of Electrical Engineering, Consulting Electric Light and Heating Engineer, and Dean of the College of Mechanics.

JOSEPH N. LECONTE, M.M.E., Professor of Engineering Mechanics; first half-year, Dean of the College of Mechanics.

BENEDICT F. RABER, B.S., M.E., Associate Professor of Mechanical Engineering.

WILLIAM F. MARTIN, M.C.E., Assistant Professor of Engineering Mechanics.

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.
LLOYD N. ROBINSON, B.E., Instructor in Electrical Engineering.
BLAKE R. VANLEER, B.S., M.E., Instructor in Mechanical Engineering.
GEORGE L. GREVES, M.S., Instructor in Electrical Engineering.
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 RECOMMENDATION

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.

In residence, second half-year only.

MECHANICAL ENGINEERING

LOWER DIVISION COURSES

1A. Elements of Steam Engineering.

Associate Professor RABER and Assistant Professor TOUR. Fundamental consideration of fuels, combustion, steam; boilers, furnaces, chimneys, etc.; steam engines, condensers, etc.

3 hrs., first half-year. Three sections: I, M W F, 8; II, III, 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. Prerequisite: course 8A or 8B.

9B. Mechanical Practice.

Continuation of course 9A.

6 hrs., second half-year; 2 units. Tu Th, 1-4; III, M F, 1-4.

Mr. GEORGE.

Three sections: I, Tu Th, 9-12; II,

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

101A-101в. Engineering Mechanics. Assistant Professor MARTIN. Problems in theoretical and applied mechanics, selected with the special object of strengthening the student's practical mathematical working power. The fundamental mathematical theorems and formulas of particular interest to engineering students will be briefly reviewed with special reference to their application to theoretical and experimental problems. Comparatively simple problems will be considered, and special emphasis will be laid on right methods of attack and interpretation, and on accuracy and facility. Open to all students who have some working power in differential and integral calculus.

2 hrs., throughout the year. M W, 11.

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, M W F, 9 (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-105B, and course 103A, or Civil Engineering 110. 103c-103D. Elementary and Practical Course in Hydraulics.

Mr. VANLEER. Recitational work upon elementary theory of hydraulics; numerous practical problems upon cost of piping, well digging, selection of pumping machinery and central station pumping plants, windmills, etc. Reports upon visits to hydraulic installations; oral and written abstracts of engineering papers.

2 hrs., throughout the year, to be arranged. The number of students will be limited to 15. Prerequisite: course 102A-102B, or taken concurrently with this course.

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. Tu Th, 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.

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