THE UNIVERSITY OF NORTH CAROLINA AT ASHEVILLE
FACULTY SENATE
Senate Document Number 0698S
Date of Senate Approval 1/22/98
Statement of Faculty Senate Action:
APC DOCUMENT 5: Adds an Introduction to the Mathematics
Department's Catalog Listing; Moves
Statistics Course Listings to the
Mathematics Section; Changes Requirements
for all tracks in the Major; Adds a Research
Course; and Modifies some Prerequisites and
Course Titles
Effective Date: Fall 1998
a. Addition of an Introductory Description to the Major
Add: on page 166 under the listing of departmental
faculty, the following:
The science of Mathematics is
fundamental to many disciplines and an
integral part of a liberal arts education.
Quantitative skills such as data
analysis, problem solving, pattern
recognition, and mathematical modeling
are increasingly vital to contemporary
professions. Entry-level mathematics
courses introduce students to basic
concepts and tools that are essential to
education. Upper-level courses provide
students with the opportunity to explore
mathematical topics in greater depth.
There are four programs of study
from which to select a mathematics
major: Pure Mathematics, Teaching of
Mathematics, Applied Mathematics, and
Statistics. The requirements for each of
these programs are listed below.
Delete: on page 166 under the heading "Declaration
of Major" the second paragraph which begins
"The Mathematics major is designed ..."
Impact: None.
Rationale: The Mathematics faculty felt that an introductory
paragraph advertising their program would be appropriate to
the catalog.
b. Add a Research in Mathematics course
Add: on page 171 after the course description for
Math 480 the following
483 Mathematics Research (1-3)
Directed mathematical research on a
specialized topic which results in a written
report. Prerequisites MATH 280, 291, and
permission of the instructor. See department
chair.
Add: on page 206 after the course description for
STAT 426 the following
483 Statistics Research (1-3)
Directed statistical research on a specialized
topic which results in a written report.
Prerequisites MATH 280, 291, and permission
of the instructor. See department chair.
Impact: none
Rationale: These courses are presently given under
special topics independent study. The new way of listing
would clarify what students are doing in these courses.
c. Move the Statistics course descriptions to the
Mathematics section.
Delete: on page 205 under the heading "STATISTICS
(STAT)" the paragraph beginning "the
following courses in ..."
Replace: the deleted paragraph with the following
phrase...
"See Mathematics and Statistics"
Move: the course titles and descriptions for the
Statistics courses beginning with 185 and
ending with(but including) 171-4, 271-4... from
pages 205 and 206 to page 171. (The moved
course titles and descriptions are to be listed
after the course description for MATH 171-4,
271-4, ...)
Delete: on page 166 The heading "MATHEMATICS
(MATH)" that appears before the listing of
Mathematics Department faculty.
Replace: the deleted heading with the following
MATHEMATICS (MATH) and
STATISTICS (STAT)
Add: on page 168 after the paragraph describing
the Mathematics Assistance Center the
following subheading
Courses in Mathematics
Add: on page 171 after the course description for
MATH 171-4, 271-4, ... the following heading
Courses in Statistics
(This heading will appear before the listing of
statistics courses which are to be moved to
that page)
Impact: None.
Rationale: This would follow the Management Departments
model, and would be would be more convenient for the
students. All courses taught by the Mathematics department
will now be in one section of the catalog.
d. Revising Requirements for Majors in Each of the Four
Tracks
Delete: on page 166 in the listing of requirements for
the Program in Pure (Theoretical)
Mathematics sections "I." and "II."
Replace: the deleted sections with the following
I. Required courses in the major - 38-39
hours, including: MATH 191, 192, 280,
291, 361, 365, 381, 480, 491 and an
additional 12-13 hours chosen from
STAT 225 and Mathematics or Statistics
courses numbered above 300. These
latter hours must include either: one
from MATH 362, 366, 492, or the
sequence STAT 425-426.
II. Required courses outside the major -
9-11 hours, consisting of CSCI 201 (3
hours), and one of the sequences:
CHEM 111-132-144, ECON 101-102,
PHYS 221-222 (6-8 hours).
Delete: on page 167 in the listing of requirements for
the Program in the Teaching of Mathematics
sections "I." and "II."
Replace: the deleted sections with the following
I. Required courses in major - 39 hours,
including: MATH 191, 192, 280, 291,
332, 361, 365, 381, 480, 491, STAT
225, and an additional 6 hours in
Mathematics or Statistics courses
numbered above 300. These latter
hours must include either: one from
MATH 362, 366, 492, or the sequence
STAT 425-426.
II. Required courses outside the major - 11
hours consisting of CSCI 201 and either
CHEM 111, 132, and 144 or PHYS 221
and 222
Delete: on page 167 in the listing of requirements for
the Program in Applied Mathematics
sections "I." and "II."
Replace: the deleted sections with the following
I. Required courses in major - 38-39
hours, including: MATH 191, 192, 280,
291, 352, 365, 381, 480, 491, STAT 225
or 425 and an additional 9 hours in
Mathematics or Statistics course
numbered above 300. These latter
hours must include either MATH 366 or
492, or one of the sequences MATH
361-362 and STAT 425-426.
II. Required courses outside the major -
18-20 hours: CSCI 201 and 15-17 hours
in an area of concentration in a
discipline in which mathematical
applications are important. This area of
concentration must be approved by the
department, and of the 15-17 hours, at
least 9 must be at the 300 level.
Delete: on page 167 in the listing of requirements for
the Program in Statistics section "I."
Replace: the deleted section with the following
I. Required courses in major - 39 hours,
including: MATH 191, 192, 280, 291, 365, 381,
480, STAT 185 or 225, 325, 326, 425, 426 and
any Mathematics or Statistics course
numbered above 300. Students intending to
pursue graduate study are strongly advised to
take MATH 491.
Delete: on page 168 in Part II of the listing of the
Requirements for the Program in Statistics
the phrase "CSCI 201 and 202 (6 hours)".
Replace: the deleted phrase with the following
CSCI 201 (3 hours)
Impact: The computer science department should expect a
20% decrease enrollment in their CSCI 202 courses.
Present annual enrollment for CSCI 202 is about 80
students, of which about 15 were Mathematics majors.
Mathematics students will have a more flexible set of
requirements.
Rationale: The proposed rewriting reflects three changes.
1. In the new wording Statistics courses will be
considered courses within the department. This
means required Statistics classes will be listed as
"courses in the major", and Mathematics majors
taking 300 level statistics classes can have those
classes count toward the major. This change would
reflect a broader definition of Mathematics that
includes statistics, and is more in line with the view of
the department.
2. Students will no longer be required to take CSCI 202.
CSCI 202, Data Structures, has only marginal
relevance toward a Mathematics degree. Dropping
this course will offer students more flexibility in their
choice of courses. Students in the pure math track
will be asked to choose a Mathematics/Statistics
class in lieu of CSCI 202. These students will no
longer have fewer mathematics requirements than the
students in the other tracks. Students in the other
three tracks will have one more elective.
3. STAT 185 or STAT 225 was added to the list of
required courses for the Statistics program because
either of these classes is a prerequisite to higher
level statistics classes. In the past Introductory
Statistics was unlisted requirement.
e. Changes to MATH 280 prerequisites
Delete: on page 169, in the course description for
MATH 280 the phrase "Corequisite: MATH
192"
Replace: the deleted phrase with the following phrase
Pre- or corequisite: MATH 192.
Impact: None.
Rationale: This would make our wording consistent with
that of other departments. "Corequisite" is apparently
interpreted as meaning "must be taken concurrently".
f. Change Algebra course names
Delete: on page 170 the course title for MATH 361
("Modern Algebra I (3)")
Replace: the deleted title with the following
Abstract Algebra I (3)
Delete: on page 170 the course title for MATH 362
("Modern Algebra II (3)")
Replace: the deleted title with the following
Abstract Algebra II (3)
Impact: None.
Rationale: The title "Modern Algebra" is infrequently used
for a course like MATH 361, the more common title is
"Abstract Algebra". The newer faculty in the department find
the use of the word "Modern" in the title of this class
misleading. The Mathematical subfield, "Abstract Algebra",
came into being during the turn of the nineteenth century,
and might not be considered modern any more.