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138 ACADEMIC DEPARTMENT.
{a) Fall term. Line coordinates, systems of linear complexes,
and cubic scrolls.
{b) Winter term. Infinitesimal geometry, normal correlation,
surfaces of singularities, focal surfaces, asymptotic lines, developable
surfaces.
{c) Spring term. Transformation of coordinates, Klein's funda
mental complexes, the quadratic complex, and the Kummer surface.
by
The subject will be presented both synthetically and analytically,
lectures and mimeograph notes.
[36. Introduction to Mathematical Chemistry. Open to stu
dents of physical chemistry who have completed a course in calculus.
(a) Fall term. The Theory of Surfaces,
as applied in geometric
representations of the thermodynamic properties of bodies ;
{b) Winter term. Spherical Harmonics, as applied in the theory
of diffusion ;
{c) Spring term. The Principles of Least and Varying Action,
as applied to reversible scalar phenomena, i. e., to the problems of
chemical and electro-chemical equilibria.]
Astronomy
and Mathematical Physics.
40. Descriptive and Theoretical Astronomy. Dr. Murray.
{a) Descriptive Astronomy. Two hours.
{b) Physical and Mathematical Astronomy. Requires courses 2
or 10, and courses 1 or 2 of Physics. Two hours.
41. Theoretical Mechanics. Includes kinematics, statics, and
kinetics with special reference to the dynamical principles needed for
subsequent work. Requires courses 11 (or preferably 21), 12, 15, 17.
Necessary to all the courses that follow.
fessor McMahon.
Two hours. Assistant Pro
42. Potential Function, Fourier's Series, and Spherical
Harmonics with applications to physical problems. Introductory
to mathematical physics. Requires courses 17, 21. 41. Necessary to
all the courses that follow. Two hours. Assistant Professor
McMahon.
[43. Celestial Mechanics. Requires courses 12, 17, 21, 40, 41,
and preferably 42. Two hours.]
44. Mathematical Theory of Sound; including the general
theory of vibrating systems. Based on Rayleigh's treatise. Requires
courses 12, 17, 21, 41, 42, and preferably 15, 20, 25(a). Two hours.
Assistant Professor McMahon.
{a) First year. General theory with applications to strings, bars,
membranes, and plates.