SENATE DOCUMENT #33

                         APC Document #28


The Academic Policies Committee recommends to the Faculty Senate the
adoption of the following revisions for the Department of Mathematics:


CATALOG REVISIONS:

DELETE:

The following from the course description of Mathematics 301 on page 131:

"Elementary differential equations and selected topics in calculus;
e.g., line and surface integrals, Fourier series, LaPlace transforms."


SUBSTITUTE:

"Vector analysis and selected topics in calculus; e.g., line and surface
integrals, complex analysis, partial differential equations, special
(gamma, beta, Bessel) functions."


RATIONALE:

With the addition of MA 305, there will be more time to be devoted to
vector calculus.  These subjects are especially important for students
in chemistry, physics and engineering as well as mathematics.


COURSE ADDITIONS:

MA 305  Differential Equations  (3)

Existence and uniqueness of solutions, separable equations, homogeneous
equations, exact equations, integrating factors, undetermined coefficients,
variation of parameters, the LaPlace transform, the inverse LaPlace
transform, infinite series methods, elementary numerical methods, Sturm-
Liouville problems, Fourier series and applications.  This course is
designed particularly for students interested in applied mathematics and 
for chemistry and physics majors.  Corequisite: MA  201.


Rationale:

Many of these subjects have been covered in the beginning advanced 
calculus course, MA 301, but time has not permitted coverage of all
the material.  Especially lacking has been the teaching of any
applications of differential equations.  

This branch of mathematics is important for students in chemistry,
physics and engineering as well as mathematics.


COURSE ADDITIONS

MA 391  Topology I  (3)

Metric spaces; topological spaces; separation axioms; connectedness;
compactness.  Prerequisite:  MA 201.


MA 392  Topology II  (3)

Topics chosen from homotopy theory; homology theory; dimension theory;
piecewise linear topology.  Prerequisite:  MA 301.


Rationale:

Topology is an important and well-established branch of mathematics.
It is a subject which is of interest in its own right, and it also
serves to lay the foundations for future study in geometry and in
analysis.


(Passed Faculty Senate April 6, 1979)