University of Virginia Library

Primarily for Graduates.

Course 6D: A Course in Geometry: Course 3C prerequisite.—An
advanced course in analytical geometry, in homogeneous, tangential

and radial coördinates, with applications to kinematics and the theory
of homogeneous displacement. Hours by appointment. Professor
Echols.

Course 7D: A Course in Differential Geometry: Course 3C prerequisite.—In
this the year will be devoted to a course in the applications
of the Differential and Integral Calculus to Geometry, with
special reference to the theory of the General Space Curve, the Surface,
and the Surface Curve. Hours by appointment. Professor
Page.

Course 8D: A Course in the Theory of Continuous Groups:
Course 3C prerequisite.—In this will be presented an outline of the
General Theory of Continuous Groups of point and contact transformations.
Numerous applications to Geometry and Differential
Equations will be adduced. Hours by appointment. Professor Page.

Course 9D: A Course in Differential Equations: Course 3C prerequisite.—In
this there will be presented a course in Ordinary and
Partial Differential Equations. In the discussion of the Ordinary
Differential Equation particular attention is paid to the theory of integration
of such equations as admit of a known Transformation
Group, and the classic methods of integration are compared with
those which flow from the Theory of Continuous Groups. A similar
method is adopted in the study of the Linear Partial Differential
Equation of the First Order. As far as the time admits, the theories
of integration of the Complete System, as well as those of the General
Partial Differential Equation of the First and Second Orders, will
be discussed. Hours by appointment. Professor Page.

[Not more than two of the Courses 7D, 8D, 9D, are offered in
one session.]