THE UNIVERSITY OF NORTH CAROLINA AT ASHEVILLE
FACULTY SENATE
Senate Document Number 3691S
Date of Senate Approval 3/28/91
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Statement of Faculty Senate Action:
APC Document #33
Changes in Mathematics and Statistics
I. PROPOSED CATALOG CHANGES IN MATHEMATICS
1. Change of prerequisite for MATH 391 (Advanced Calculus). Add to the end
of the course description the following:
Prerequisites: MATH 291 or permission of instructor (MATH 266 or 365 is
strongly recommended).
RATIONALE. Prerequisites have been inadvertently omitted in several
recent catalogs, and the above are the appropriate ones for this course.
2. Policy change regarding senior competency exam (will not be stated in
catalog): Students may petition to demonstrate major competency by
satisfactory completion of the GRE Mathematics Test or the first
Actuarial Examination.
Satisfactory completion of the GRE is a score at or above the 20th
percentile ranking, and that for the Actuarial Exam is a score of 5 or
better.
RATIONALE. The GRE may be more appropriate for students seeking
graduate school and the Actuarial Exam allows students pursuing the
field of statistics to pass their first examination required for
recognition as a Fellow and also use this to satisfy the senior
competency requirement.
3. In the Requirement III. statement for the pure math program, change
phrase "major field achievement test" to the specific name of the
examination:
... the ETS MFAT (Major Field Achievement Test) in Mathematics and ...
Change Requirement III for the other three programs to match the pure
mathematics requirement III.
4. Change the catalog description of MATH 352 as follows:
MATH 352 Introduction to Mathematical Models (3)
The focus of this course is to teach students the application of
mathematical techniques to real world problems. Content includes:
difference equations, stability analysis and chaos, Markov processes,
and basic probability theory. Students will be expected to use personal
computers for their projects. Prerequisite: MATH 291 or permission of
the instructor.
RATIONALE. This description better reflects current practice and
current course content.
5. The credit requirement for MATH 380 (mentioned in Requirement I. in all
programs) to 1 (one) credit hour instead of three and require 1 (one)
additional credit hour in a new course (see below) MATH 381. Total
required hours is reduced to 35 credit hours (instead of 36). The new
statement should read (in place of the words "36 hours" and "three hours
in MATH 380" in all four programs:
-35 hours, including ...; at least one hour in MATH 380 and one hour in
MATH 381;
Reference to MATH 380 in statement of Minor requirements (for
clarification):
... with no more than one credit in MATH 380 or one credit in MATH 381.
The appropriate course description for MATH 380 would be changed to the
following:
MATH 380 Mathematics Seminar (1)
Seminar in which students read background papers, participate in
discussions, and lead one seminar. Prerequisites: MATH 280 and MATH
291.
RATIONALE. A majority of the department feels the Mathematics Seminar
requirement should be changed to reflect (a) the current background of
our majors, (b) better utilization of one of the required hours to
improve students' problem-solving ability, and (c) difficulty in
scheduling students' requirements in their senior year. This change
would be contingent on approval of Item 6 below.
6. Add a new course, MATH 381, to complement seminar requirement for majors
(NOT contingent on approval of Item 5):
MATH 381 Problems in Mathematics (1)
This course meets once per week for the purpose of discussing and
solving a variety of mathematical problems and concepts not normally
covered in traditional courses. Problem-solving methods will be
discussed. Topics may include, for example, number theory, coding
theory, geometry, probability, and optimization. The course may be
repeated for credit. Prerequisite: MATH 291.
RATIONALE. The very important area of problem-solving is not addressed
specifically in our curriculum, and a course like this is needed for
majors, at least as an option for electives (in case Item 5 does not
pass).II. PROPOSED CATALOG CHANGES IN STATISTICS
1. Change title and description of Statistics Program as follows:
PROGRAM IN STATISTICS AND ACTUARIAL SCIENCES
Drop the words "AND ACTUARIAL SCIENCES," and further change text to read
PROGRAM IN STATISTICS
Also note that the change needs to be made on page 168.
This program is designed for students who have an interest in
probability and statistics. Graduates may pursue a career in actuarial
science, quality control or related fields, or enter a graduate program
in statistics, mathematics, or a related discipline.
RATIONALE: In the four years under the original title, we have not
graduated a single student who became an actuary. Also, use of these
words typically associated with courses in the theory of interest and
morbidity tables, are not offered at UNCA. The new wording for the text
clarifies what is actually intended for students who wish to enter this
program.
2. Change the requirements for the Statistics Program as follows:
I. Add the sentence at the end of the list of requirements, I:
Students intending to pursue graduate study are strongly advised to
take MATH 491.
II. Add at the end of ", and either MGMT 200 and 380, or ECON 200 and
300, or ECON 201 and 301"
... or 6 hours at the 300-400 level approved by the Department from
disciplines which routinely employ statistical methodology.
RATIONALE. I. It is actually a good idea for students to become
familiar with the methods of analysis if they intend to pursue graduate
school. II. Allowing students to satisfy the 6-hour requirement from
any 300-400 level course using statistics methods adds flexibility to
their major.
3. Change the course description for STAT 321 to read:
STAT 321 Exploratory Data Analysis and Nonparametric Statistics (3)
The course focuses on the initial statistical techniques used to analyze
data and the measures taken if assumptions for standard statistical
procedures do not hold. Content may include, but is not limited to:
graphical data analysis, assessing normality and transformations,
nonparametric statistical inferences, identification of outliers, topics
in simple regression, and introduction to time series analysis.
Prerequisite: three to four hours in any other statistics course.
RATIONALE. The above description provides a better idea of what is
intended in the course and what topics are likely to be covered than the
overly brief version currently appearing.