109. Integral Calculus.

Associate Professor LEHMER. 3 hrs., second half-year. M W F, 9. Prerequisite: course 9. Students desiring to elect course 109 in the first half-year may substitute

course 4B.

110A. Advanced Calculus.

Associate Professor NOBLE and Dr. BUCK.

The differential equations, both ordinary and partial, which occur most frequently in the applications, with special stress on approximate numerical solutions.

2 hrs., first half-year. Tu Th, 8.

110B. Advanced Calculus.

Dr. BUCK.

Definite integrals, multiple integrals, theory and use of infinite series, applications to practical problems.

2 hrs., second half-year. Tu Th, 8.

111. Determinants and Theory of Numerical Equations.

3 hrs., first half-year. M W F, 10.

112. Analytic Geometry of Three Dimensions.

Professor EDWARDS.

Professor EDWARDS.

3 hrs., second half-year. M W F, 10. Open only to students who have taken, or are taking, course 9.

113. Synthetic Projective Geometry.

Mr. WOODS.

3 hrs., first half-year. Tu Th S, 9. Prerequisite: course E.

114. Analytic Geometry (advanced course).

Professor HASKELL.

Introduction to modern methods in analytic geometry, especially with reference to algebraic plane curves.

3 hrs., first half-year. M W F, 9. Prerequisite: course 5.

115. Theory of Numbers.

Associate Professor LEHMER.

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

3 hrs., second half-year. Tu Th S, 9.

*116. Vector Analysis.

Assistant Professor McDONALD.

A comparative study of the various systems of Hamilton, Grassmann, Gibbs, and others, with applications to mathematical physics.

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

117. Calculus of Finite Differences.

Mr. BERNSTEIN.

2 hrs., second half-year. Tu Th, 10. Prerequisite: course 109.

118. Algebra of Logic.

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

*Not to be given 1911-12.

Mr. BERNSTEIN.

3 hrs., second half-year. M W F, 10. Prerequisite: course 120A and a thorough course in calculus.

121AH-121BH. Higher Analysis. [ [Honor Course.]

Assistant Professor McDONALD.

An advanced course in the differential and integral calculus. Lectures and seminary exercises. 5 units.

Assistant Professor McDONALD and Mr. 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.

223. Partial Differential Equations.

Professor HASKELL.

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.

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

226. Elliptic Modular Functions. Seminar.

2 hrs., first half-year.

231A-231B. Theory of Numbers; Advanced Course.

3 hrs., throughout the year.

232. Theory of Substitutions. 3 hrs., second-half year.

234. Calculus of Variations. 3 hrs., first half-year.

Dr. IRWIN.

Professor HASKELL.

Assistant Professor PUTNAM.

Mr. KUSCHKE.

Associate Professor NOBLE.

238A-238B. The Teaching of Elementary Mathematics.

2 hrs., throughout the year. Tu Th, 10.

240. Mathematical Seminar.

Professor EDWARDS.

Professor HASKELL.

Conferences on topics in higher mathematics, under the direction of Professor HASKELL. Meetings once a week.

Interpolation, Use of Tables and Mechanical Quadratures. [See Astronomy Mr. EINARSSON.

108 and 109.]

Theoretical Astronomy. [See Astronomy 106.] Professor LEUSCHNER.

Descriptive Geometry. [See Drawing 2.]

Associate Professor KOWER, Assistant Professor WYTHE and
Mr. MONGES.

GENERAL SCIENCE.

Open to the University without prerequisite. May be chosen as part of the prescribed work in natural science in the colleges of general culture and of commerce.

Enrollment for these courses will be limited to two hundred. Applications for enrollment will be received in room 217 Chemistry Building, at the first meeting of the class.

1. The Physical Sciences.

Assistant Professor MORGAN, Professors LEWIS and LEUSCHNER, and Associate Professor MERRIAM.

The important underlying principles.

3 hrs., first half-year. M W F, 4.

2. The Biological Sciences.

Professors KOFOID and STRATTON, Associate Professors MERRIAM and TORREY.

The important underlying principles.

3 hrs., second half-year. M W F, 4.

NOTE: General Science and Philosophy 1 fall within the same examination group. Both of these courses, therefore, cannot be taken in one halfyear.

PHYSICS.

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

E. PERCIVAL LEWIS, Ph.D., Professor of Physics.

WILLIAM J. RAYMOND, B.S., Associate Professor of Physics.
RALPH S. MINOR, Ph.D., Associate Professor of Physics.
2 ELMER E. HALL, Ph.D., Associate Professor of Physics.
THOMAS S. ELSTON, Ph.D., Instructor in Physics.
RAYMOND B. ABBOTT, B.S., Instructor in Physics.

WILLIAM R. STAMPER, Mechanician in the Department of Physics.
OSTWALD G. STEINITZ, Mechanician in the Department of Physics.
Eight assistants and two helpers.

Courses 1A-1B to 3A-3B are fundamental and designed to meet the needs of students preparing for applications of physies, or advanced work in the subject itself. Students will profit greatly if they supplement the course of laboratory work regularly laid out. For credit on special and supplementary laboratory work see course 118. 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. equipment of the laboratories is modern and extensive; and the University Library contains complete sets of all the important physical journals, and the proceedings and transactions of most of the academies and other

societies.

The

The laboratory deposit for courses 1A, 1B, 3A, and 3в is ten dollars each; for courses 2c and 2D, five dollars each; in all other courses, 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 the cost of materials used and for breakage of apparatus, is about four dollars in courses 1A and 1B, two dollars in courses 3A and 3B; one dollar in courses 2c and 2D; and about two-fifths of the deposit in other

courses.

Students who choose Upper Division courses in physics must include an adequate amount of laboratory exercises in the work chosen; the instructor should be consulted on this point. Such students are strongly advised to take courses 105A, and 105в or 105c in the junior or senior year.

Teachers' Certificates. Twenty-four units of physics will be required for recommendation for the teacher's certificate. Applicants for the recommendation in physics, in making up this number of units, must include in their work the equivalent of courses 2A-2B and 3A-3B. See statements under these headings, and under course 118. (In all cases proposed combinations of courses should be submitted for approval to the Professor in charge of the department of physics.)

2 In residence, second half-year only, 1911-12.