CATALOG 1952-1953


 MS. 402.-Solid Analytic Geometry. 3 hours. 3 '-s Prerequisite: MS.
105-106. Offered 1.
 An introductory course dealing with lines, planes, surfaces, transformations of
coordinates, the general equation of the second degree in three variables, and properties
of quadrics.

 MS. 405 (Formerly MS. 320).-Theory of Equations. 3 hours. 3 credits.
Prerequisite: MS. 105-106. Offered 2.
 Theorems and methods of solution of equations of higher degree. Various methods
of approximating solutions of numerical equations. Determinants; systems of linear
equations. Symmetric functions. Elimination, resultants, and discriminants.

 MS. 411.-Survey of Modern Algebra. 3 hours. 3 credits. Prerequisite:
MS. 105-106. Offered 1.
 An introduction to the simpler concepts of higher algebra. Number system, number
theory, groups, rings, ideals, integral domains, fields, matrices, etc.
 MS. 415.-Elementary Theory of Numbers. 3 hours. 3 credits. Prerequisite:
MS. 105-106. Offered 2.
 General introduction to the theory of numbers; theorems on divisibility and con-
gruences; quadratic residues and the reciprocity law; Diophantine equations; and
binary quadratic forms.

 MS. 420.-Differential Equations. 3 hours. 3 credits. Prerequisite: MS.
353-354. Offered 1, 2, 3.
 The classification, solution and application of various equations which contain ex-
pressions involving not only variables, but also the derivatives of these variables. Not
open for credit to students who have taken MS. 421.

 MS. 421.-Higher Mathematics for Engineers and Physicists. 3 hours. 3
credits. The first third of the course MS. 421-422-423. Offered 1. Not open for
credit to students who have taken MS. 420.
 Introduces the student to various mathematical fields, such as partial differenti-
ation, partial differential equations, boundary-value problems, and applications of vector
analysis.

 MS. 422.-Higher Mathematics for Engineers and Physicists. 3 hours. 3
credits. Prerequisite: MS. 421 or MS. 420. The middle third of MS. 421-422-
423. Offered 2.

 MS. 423.-Higher Mathematics for Engineers and Physicists. 3 hours. 3
credits. Prerequisite: MS. 422. The last third of MS. 421-422-423. Offered 1.

 MS. 431.-College Geometry. 3 hours. 3 credits. Prerequisite: MS. 105-
106 or its equivalent. Offered 1, 3.
 The use of elementary methods in the advanced study of the triangle and circle.
Special emphasis on solving original exercises. Valuable to prospective high school and
college geometry teachers.


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