UNIVERSITY OF FLORIDA


 MS. 540.-Fourier Series. 3 hours. 3 credits.
 The application of trigonometric series to the solution of boundary-value problems
of mathematical physics. Solutions are obtained to partial differential equations relating
to the flow of heat, conduction of electricity and vibrating strings.
 MS. 543.-Differential Geometry. 3 hours. 3 credits.
 An introduction to the local study of so-called Riemannian and non-Riemannian
spaces.
 MS. 545.-Mathematical Theory of Elasticity. 3 hours. 3 credits.
 Analysis of strain; analysis of stress; elasticity of solid bodies; general theorems of
elasticity; two-dimensional elastic systems; bending of beams and plates; torsion; prob-
lems concerning the equilibrium of rods and plates.
 MS. 546.-Mathematical Theory of Elasticity. 3 hours. 3 credits. The second
half of the course MS. 545-546.

 MS. 551.-Advanced Topics in Calculus. 3 hours. 3 credits.
 Topics of advanced nature selected from the calculus, including partial differenti-
ation, Taylor's theorem, infinite series, continuation of simple multiple integrals, line and
surface integrals, and Green's theorem.
 MS. 552.-Advanced Topics in Calculus. 3 hours. 3 credits. The second
half of the course MS. 551-552.
 MS. 553.-Calculus of Variations. 3 hours. 3 credits.
 Introductory theory and application of the calculus of variation. The problem of
the shortest arc, quickest descent, minimum surface and the least area enclosed by a
curve of given length are treated. Applications using Hamilton's Principle and La-
grange's equations.
 MS. 555.-Functions of a Complex Variable. 3 hours. 3 credits.
 Fundamental operations with complex numbers; differentiation and integration
theorems; mapping; transformations; series.
 MS. 556.-Functions of a Complex Variable. 3 hours. 3 credits. The second
half of the course MS. 555-556.

 MS. 559.-Functions of Real Variables. 3 hours. 3 credits.
 The real number system; theory of point sets; rigorous investigation of many ques-
tions arising in the calculus; Lebesque integrals; infinite series.
 MS. 560.-Functions of Real Variables. 3 hours. 3 credits. The second half
of the course MS. 559-560.

 MS. 561.-General Topology. 3 hours. 3 credits.
 Topological spaces; homeomorphisms and functions of sets; arcs and continuous
curves; topological notions such as connectedness, compactness, separability, etc.;
application to analysis.
 MS. 562.-General Topology. 3 hours. 3 credits. The second half of the
course MS. 561-562.

 MS. 568.-History of Elementary Mathematics. 3 hours. 3 credits.
 A survey of the development of mathematics through the calculus, with special
emphasis on the changes of the processes of operation and methods of teaching. No
specific textbook is followed, but a number of works are used as references.
The statement "Offered 1" means offered first semester; 2, second semester; 3, summer session.