UNIVERSITY OF FLORIDA


 GRADUATE COURSES
 Prerequisites: An undergraduate major in mathematics or its equivalent is re-
quired. Any deficiency in the prerequisites must be removed as soon as possible after
entering the Graduate School.
 Prerequisites to individual courses should be determined before registration by con-
sultation with the instructor concerned through the Department office.
 Certain of the courses listed are offered annually while others are given as needed.
For a complete listing of the courses to be offered in any semester, consult the Schedule
of Courses for that semester.
 Every graduate student is expected to attend an appropriate seminar.

 MS. 502.-Vector Analysis. 3 hours. 3 credits.
 The algebra and calculus of vectors in two and three dimensions. Applications to
problems in physics and engineering.
 MS. 507.-Tensor Analysis. 3 hours. 3 credits.
 A study of transformations of coordinates, matrices, and tensors. The calculus of
tensors. Special attention to the applications of tensors in differential geometry, dif-
ferential equations, problems from physics, and n-dimensional Euclidean, Riemannian,
and other spaces.
 MS. 511.-Introduction to Higher Algebra. 3 hours. 3 credits.
 An introduction to the theory of matrices, linear transformations; quadratic,
bilinear, and Hermitian forms; equivalence of pairs of such forms; algebraic invariants
and covariants.
 MS. 512.-Introduction to Higher Algebra. 3 hours. 3 credits. The second
half of the course MS. 511-512.

 MS. 513.-Theory of Groups of Finite Order. 3 hours. 3 credits.
 Introduction to the group concept; a treatment of pure group-theory with numerous
examples and a few of the simpler applications.
 MS. 514.-Further Theory and Application of Finite Groups. 3 hours. 3
credits.
 A continuation of MS. 513. Theory of algebraic extensions of a field. Galois
theory of fields. Galois theory of equations. Some geometric applications of group
theory.
 MS. 515.-Theory of Numbers. 3 hours. 3 credits. Prerequisite: MS. 415.
 Continuation of the work of MS. 415. Indefinite binary quadratic forms; com-
position and genera of binary quadratic forms; quadratic forms in n variables; ternary
quadratic forms; reduced positive ternary forms and tables.
 MS. 519.-Theory of Probability and Theory of Sampling. 3 hours. 3
credits.
 Theory of probability. Frequency distributions. Normal and other frequency curves.
 Inverse probability. Method of least squares. Measures of reliability. Theory of
 sampling. Theory of small samples.
 MS. 520.-Advanced Statistics. 3 hours. 3 credits.
 Various measures of correlation. Tetrachoric r. Curvilinear correlation. Partial
and multiple correlation. Regression surfaces. Normal surfaces. Derivation of formulas.
The Gram-Charlier series. Measures of reliability. Analysis of variance. Design of ex-
periments.


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