CATALOG 1952-1953


 MS. 521.-Empirical Analysis and Curve Fitting. 3 hours. 3 credits.
 Determination of equation from graphical analysis. Use of logarithmic and other
special types of graphs. Method of least squares; application to residuals; application
to numerical differentiation. "Curve smoothing," or regraduation of data. Gram
polynomials. Numerical harmonic analysis. Periodgram analysis. Illustrated with the
problems from the fields of botany, engineering, chemistry, and physics.
 MS. 522.-Finite Difference and Interpolation. 3 hours. 3 credits.
 The elements of the calculus of finite differences. Interpolation formulas. Inverse
interpolation. Subtabulation of data. Numerical differentiation. Numerical integration.
Summation in terms of integration and differentiation. Derivation of formulas from
functional or recurrence relations. The student makes much use of calculus through
Taylor's series.
 MS. 524.-Synthetic Projective Geometry. 3 hours. 3 credits.
 Pure geometry, dealing primarily with properties unaltered by the processes of
projection and section; principal theorems involved; theory of poles and polars; rules
surfaces of second order; the theory of involution.
 MS. 525.-Econometrics. 3 hours. 3 credits.
 The mathematical interpretation of economic hypotheses. Conclusions reached by
mathematical treatment and procedure. Mechanism for the comparison of conclusions
with observations. This course is concerned with the method of dealing mathematically
with the material of economics, rather than with the validity of the hypotheses and
laws involved.

 MS. 526.-Econometrics. 3 hours. 3 credits. The second half of the course
MS. 525-526.

 MS. 531.-Advanced College Geometry. 3 hours. 3 credits.
 A continuation of the study pursued in MS. 431, dealing with inverse figures,
circles of antisimilitude, stereographic projection. A treatment of special topics, such
as the theorem of Miquel and related relationships, isogonal and isotopic conjugates,
isogonic centers and their properties, and the circles of Spieker, Droz-Farny, Lemoine,
Tucker, Taylor, and McCay. Notable points such as the Nagel, Steiner, and Terry
points.

 MS. 534.-Analytic Projective Geometry. 3 hours. 3 credits.
 Homogeneous coordinates are used in the analytic treatment of ranges, pencils,
cross ratio, circle points at infinity, line and point coordinates, collineations, correlation,
and involution.
 MS. 536.-Foundations of Geometry. 3 hours. 3 credits.
 An investigation of the assumptions of geometry; the parallel postulate; steps lead-
ing to non-Euclidean geometrics; consequent development of modern branches of the
subject; elements of non-Euclidean geometry, trigonometry, and calculus.

 MS. 539.-Partial Differential Equations. 3 hours. 3 credits.
 Origin of partial differential equations; solutions of linear equations of first order,
Charpit and Jacobi's methods of solving non-linear equations of first order; simultaneous
partial differential equations; solution of linear equations of second and higher orders by
various methods; applications to geometry; Legendre polynomials; Bessel functions;
numerous applications of the method of separation of variables to the solution of
physical problems.


The statement "Offered 1" means offered first semester; 2, second semester; 3, summer session.