Primarily for Graduates.
Mathematics D1: A Course in Differential Geometry: Course
C1 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.
Mathematics D2: A Course in Differential Equations: Course
C1 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.
[Only one of the Courses D1 and D2 will be offered in 1913-14.]
Mathematics D3: A Course in the Theory of Functions: Course
C1 prerequisite.—In this class is offered to advanced students a course
in Mathematical Analysis. The treatment of the subject is arranged
under three heads, as follows:
The design of the numbers of analysis and the laws of the operations
to which they are subject are studied after the methods of
Dedekind and Tannery, Cantor and Weierstrass, as introductory to
the study of functions.
The study of the Theory of Functions of a Real Variable, including
series, products, and continued fractions.
The General Theory of Functions of a Complex Variable is
studied after the methods of Cauchy, Riemann, and Weierstrass.
A special study is made of the series of Taylor and of Fourier.
Monday, Wednesday, Friday, 11-12. Professor Echols.
The work in Courses D1, D2, and D3 is carried on by means of
lectures, notes, and the systematic reading of the standard authors
in texts and in journals.
For summer-school courses in Mathematics, on which college
credit will be allowed, see p. 293.
