1980-81
SENATE DOCUMENT #10
APC DOCUMENT #10
Catalog Changes in the Department of Mathematics
The Academic Policies Committee recommends to the Faculty Senate
approval of the following catalog changes requested by the
Department of Mathematics:
1. We recommend changes in the course descriptions of three of our
courses, Math 125, Math 421, and Math 426, and a change in the
title of Math 125 to bring those descriptions and titles in line
with the actual foci and content of the courses.
In particular, on page 142 of the 1980-81 [4mCatalog[0m, we
recommend deleting all reference to Math 125 and replacing it with:
125 INTRODUCTION TO STATISTICS AND DATA ANALYSIS (3)
Topics include basic probability theory, descriptive
statistics, distribution of random variables, sample
statistics, hypothesis testing and confidence intervals,
analysis of variance, contingency table analysis,
correlation and regression, and methods of data analysis.
(Students may not earn credit for both Mathematics 125
and Psychology 304).
On page 144 of the 1980-81 [4mCatalog[0m, we suggest deleting all
reference to Math 421 and Math 426 and substituting:
421 PROBABILITY THEORY (3)
Relevant topics include various formulations of probability,
the structure of probability spaces, combinatorial analysis,
discrete and continuous random variables, joint distributions,
the Central Limit Theorem, moment generating functions and
characteristic functions. Prerequisite: Mathematics 201.
426 STATISTICAL INFERENCE (3)
The study of sampling distributions of statistics, properties
of statistics, linear statistical models, some nonparametric
statistics, Bayesian Statistics, and basic sequential analysis.
Prerequisite: Mathematics 421.
2. We recommend approval of two new courses in our curriculum,
with descriptions inserted strategically on page 143 of the 1980-81
[4mCatalog[0m. They are:
225 APPLIED MULTIVARIATE ANALYSIS (3)
An introduction to the methods of multivariate analysis,
including cononical correlation, clustering discriminant
analysis, factor analysis, multivariate analysis of variance,
multiple regression, and principal components analysis.
Prerequisite: Mathematics 125 or permission.
Page 2
228 INTRODUCTION TO LINEAR MODELS (3)
Topics will include the mathematics of linear relationships,
least squares and maximum likelihood estimation procedures,
analysis of residuals, the general linear model, dummy
variables, and the problems associated with heteroscedasticity,
multicollinearity, and autocorrelation. Prerequisite:
Mathematics 125 or permission.
These two courses will assume a dual role at UNCA. First, they
will be service courses in the sense that they are particularly
valuable to any student in management, the social sciences, the
natural science, or the physical sciences who is concerned with his
literacy vis-a-vis the research literature of his discipline.
Second, these are important courses for any mathematics major who
is attempting to develop a special competency in applied
mathematics or statistics. It is noteworthy that an important
component of each of these two courses is an applied data analysis
"research project" designed to engage the student in applying his
newly acquired statistics and data analysis competency by
formulating and expediting a useful (if trivial) research project.
As such, we will utilize these courses as vehicles to get students
involved in applying their education at UNCA to the special needs
of Western North Carolina.
3. We recommend a change in the supporting courses required of all
mathematics majors. Specifically, on page 141 in the first
paragraph under "A Major in Mathematics" appears the sentence:
"As supporting course, all majors must completed at least one of
the following two course sequences: Chem 141, 142, Econ 225, 235,
Physics 221, 222."
The proposed change is to replace Econ 225, 235 by Econ 200, 201.
The objective of the quoted sentence relating to required
supportive courses outside the major is to require the student to
introduce himself to at least one discipline in which mathematics
is a significant tool. The chemistry and physics courses are
introductory while the courses in economics had Econ 200, 201 as
prerequisites. In this case we were requiring in fact four
supporting courses. By reducing this case to two courses we hope
to attract more students to this alternative.
4. On page 142
(a) Delete the paragraphs referring to Math 181, 182.
(b) Replace them by:
Page 3
181 COLLEGE ALGEBRA (3)
College algebra including linear, quadratic, exponential,
logarithmic, and rational functions and relations; graphing
and applications. May be taken simultaneously with Math 182.
Prerequisite: three years of high school mathematics
including two years of algebra and one year of geometry, and
a satisfactory performance on the placement examination.
182 TRIGONOMETRY (3)
Trigonometry including circular functions and their graphs,
identities, equations, complex numbers, polar coordinates,
and applications. Prerequisite: Math 181 or concurrent
enrollment in Math 181.
There is no substantive change here. Math 181 has been a
prerequisite for Math 182. Since the term system has been dropped
we wish to allow students to take the courses simultaneously. The
new names are more descriptive of the course content than the old
ones.
(Passed by Faculty Senate 10/16/80)