THE UNIVERSITY OF NORTH CAROLINA AT ASHEVILLE
FACULTY SENATE
Senate Document Number [4m1289S [0m
Date of Senate Approval [4m2/9/89 [0m
Signature of Senate Chair [4m_______________________[0m Date [4m__________[0m
Action of Vice Chancellor:
Approval [4m_______________________[0m Date [4m______________[0m
Denied [4m_______________________[0m Date [4m______________[0m
Reasons for denial and suggested modifications:
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Statement of Faculty Senate Action:
APC Document #5
A. [4mChanges in The Pure Mathematics Program[0m
Paragraph: DELETE "It is recommended that...maximum economy."
Part I REPLACE "... and an additional 18 hours in courses
numbered beyond 300, including..."
WITH "... and an additional 18 hours in Mathematics
courses numbered above 300, or Statistics courses
numbered above 400. These latter 18 hours must
include:..."
Part II REPLACE "Statistics 325-327"
WITH "Statistics 325-326"
Part III DELETE
Part IV REWRITE TO READ:
"III. Other departmental requirements - Satisfactory
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completion of the GRE Mathematics Test, and the
presentation of one seminar in MATH 380."
[4mRationale[0m: Deleted sentence at beginning is seen to be inessential
advice - most students who decide to major in mathematics know which
program they want to enter. Changes can be easily made later.
Changes in Statistics course references are to clarify and to refect
changes in the curriculum for Statistics being proposed (see G
below). Deletion of language requirement merely reflects the
present all-college requirement of six hours of language, and the
very last part regarding MATH 380 is a new requirement by the
Department (although this has been understood by students for some
time as "strongly" recommended).
B. [4mChanges in The Teaching of Mathematics Program[0m
Part I REPLACE "... and an additional 18 hours in courses
numbered above 300, including ... "
WITH "... and an additional 18 hours in Mathematics
courses numbered above 300, or Statistics
courses numbered above 400. These latter
l8 hours must include: ..."
Part II REWRITE TO READ:
"II. Other required courses - 14 hours, including
one of the following two course sequence:
Chemistry 141-142 or Physics 221-222
(8 hours); and Computer Science 141 and 243
(6 hours)."
Part III DELETE
Part IV REWRITE TO READ:
"III. Other departmental requirements - Satisfactory
completion of the GRE Mathetics Test, and the
presentation of one seminar in MATH 380."
[4mRationale[0m: Part I change is parallel to that of (A) above.
Part II change corrects error made in copy for current catalog.
Part IV change parallel to that of (A) above.
C. [4mProposed Restructure of The Applied Mathetics Program[0m
"This area is designed for students planning a career in industry
where training in problem solving and interdisciplinary work is
essential, or for students planning to pursue a graduate degree in
an applied mathematics field. Students in this program are strongly
encouraged to minor in a science or social science.
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I. Required courses in the major - 36 hours, including
Mathematics 191, 192, 280, 291 (15 hours), 3 hours in
Mathematics 380, and an additional 18 hours in Mathematics
courses numbered above 300, or Statistics courses numbered
above 400. These latter 18 hours must include Mathematics
352, 365 and 491, and the completion of at least one of
the following two course sequences: 361-362, 365-366,
431-432, 491-492, or Statistics 425-426.
II. Other required courses - 24-27 hours: Computer Science
141 or 142, and 243 (6 hours), Statistics 225 or 425
(3-4 hours) and 15-17 hours in an area of concentration.
This concentration may be in any discipline in which
mathematical application is important. These 15-17 hours
must be approved by the department. (Possible Models:
Physics 221, 222, 324, 420, and 421, with electives for
Part I of Mathematics 391, 394, and 395; or Management
200, 380, 390, 394, and 485, with electives for Part I of
Mathematics 394, 395, Statistics 425 and 426.)
III. Other departmental requirements - Satisfactory completion
of the GRE Mathematics Test, and the presentation of one
seminar in Mathematics 380.
[4mRationale:[0m Present faculty feel this is a better and more realistic
program than the current track in Applied Mathematics. The current
program requires a mininum of [4m111[0m hours in Parts I and II. The one
above requires a minimum of [4m60[0m hours in Parts I and II. Also,
program can be tailored more towards the interest and/or talent of
individual student. (See particularly, Part II.)
D. [4mChanges in The Statistics and Actuarial Science Program[0m
Paragraph ADD "An introductory statistics course in the
freshman or sophomore year is strongly
recommended."
Part I REWRITE TO READ:
"Required courses in the major - 36 hours,
including Mathematics 191, 192, 266 or 365, 280,
291 (18 hours); 3 hours in Mathematics 380;
Statistics 325, 326, 425 and 426 (12 hours);
any 300 or 400 level Mathematics or Statistics
course (3 hours)."
Part III DELETE
Part IV REWRITE TO READ:
"III. Other departmental requirements -
Satisfactory completion of the GRE Mathematics
Test, and the presentation of one seminar in
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Mathematics 380."
[4mRationale:[0m Present faculty feel this is a better program in
Statistics. Changes also reflect new curriculum for Statistics
being proposed (see G).
E. [4mChanges in Mathematics Minor[0m
Mathematics Minor: INSERT after the words, "... at the 300
level or above.": "with no more than 1
credit in Mathematics 380."
[4mRationale[0m: Main thrust of this is to prevent students from
the practice of garnering three hours of Mathematics Seminar by
repeating it three different semesters, and counting this towards
a single 3OO-level three hour course.
F. [4mChanges in Mathematics Course Description[0m
MATH 157 REWRITE TO READ:
"157, Structure of Mathematics I (3)
An intuitive development of the real number
system emphasizing set theory, arithmetic
properties of the real numbers, topics from
number theory, modular arithmetic, and analysis
of basic algebraic structures. This course
is designed for elementary and middle school
teachers. Prerequisite: 155."
MATH 158 REWRITE TO READ:
"158, Structure of Mathematics II (3)
A continuation of 157: Intuitive and deductive
study of points, lines, planes, curves, surfaces,
parallelism, and similarity; linear, angular,
area, and volume measurement. Prerequisite: 157.
MATH 291 Calculus III
DELETE "Green's Theorem and Stokes' Theorem."
MATH 341 Numerical Analysis
REPLACE "or permission of the department."
WITH "or permission of the instructor."
MATH 361 Modern Algebra I
REPLACE "or permission of the department."
WITH "or permission of the instructor."
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MATH 365 Linear Algebra I
REPLACE "or permission of the department."
WITH "or permission of the instructor."
MATH 380 Mathematics Seminar
REPLACE "May be repeated for credit. Prerequisite: 280
or permission of the department."
WITH "May be taken up to 3 times for credit.
Prerequisite: 280."
MATH 391 Advanced Calculus
REWRITE TO READ:
"Topics in Vector Calculus, including Implicit
Function Theorem, Gradient Fields, Green's
Theorem, Divergence Theorem and Stokes' Theorem."
MATH 431 Topology I
REPLACE "or permission of the department."
WITH "or permission of the instructor."
MATH 452 Introduction to Mathematical Models
RE-NUMBER to MATH 352
REPLACE "Prerequisites: 266 and 291 or permission
of the department."
WITH "Prerequisite: 291 or permission of the
instructor."
MATH 491 Analysis I
REPLACE "or permission of the department."
WITH "or permission of the instructor."
[4mRationale[0m: All references in prerequisites to "permission of
department" have been changed to "permission of instructor" since
these courses are more under the direct control of the person
teaching it rather than the department chairman.
MATH 157, 158. Better statement that eliminates unnecessary
reference to "teachers" in the second course of the sequel. Also, a
more appropriate title is Structure of Mathematics since essentially
only [4mone[0m structure (that of a group or ring for 157 and geometry for
158) is ever really discussed.
MATH 291, 391. This topic is no longer covered in Calculas III, but
is normally covered in Advanced Calculus (391).
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MATH 380. Easy course so in some cases students may want to take
four and five hours for credit to build up their GPA. Department
has no qualms about a student attending the seminar, but they should
not be allowed more than 3 credits for this.
MATH 452. Course actually more on sophomore/junior level. MATH 266
is not an appropriate prerequisite for this course as it is
currently being taught.
G. [4mChanges in Statistics Course Description[0m
Leading paragraph ADD: A student desiring a major in this
area can major in Mathematics,
Program in Statistics and Actuarial
Sciences (see p. 155).
STAT 125 Introduction to Statistics and Data Analysis
DELETE "Prerequisites: 104 or departmental approval."
STAT 185 Statistical Foundations of Quantitative Methods
REPLACE "Advanced placement ... or departmental
approval."
WITH "Prerequisite: Mathematics 155 or
satisfactory performance on the Mathematics
Placement Exam at the entry level of
Mathematics 163 or its equivalent."
DELETE STAT 288 Exploratory Data Analysis
ADD STAT 321 Exploratory Data Analysis and
Nonparametric Statistics (3)
Data analysis techniques, simple and robust
regression techniques, reexpressions, and
nonparametric statistics. Prerequisite: 3-4
hrs. in any other statistics course.
STAT 325 REWRITE TO READ:
325, Introduction to Regression Models (3)
Estimation and inference for regression
models. Topics include: least squares
estimation; models comparisons; estimation
of validity of model assumptions and
remedial measures; simple linear, multiple
linear, nonlinear and logistic regression;
and dummy variables. Prerequisite: 3-4
hrs. in any other statistics course.
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ADD STAT 326 Introduction to Analysis of Variance
Models (3)
Design, estimation, and inference for ANOVA
and related models. Topics include: single
factor and multiple factor ANOVA; fractional
factorial, split-plot, and repeated measures
designs, examination of validity of model
assumptions and remedial measures; and
analysis of covariance. Prerequisite: 3-4
hrs. in any other statistics course.
STAT 327 Applied Multivariate Analysis
REPLACE "Prerequisites: Either 125, 185 or 225,
and Mathematics 266."
WITH "Prerequisites: Any 3-4 hrs. in any
other statistics course, and Mathematics
266 or Mathematics 365."
ADD 171-3, 271-3, 371-3, 471-3 Special Topics in Statistics (1-3)
Courses not otherwise included in the catalog
listing but for which there may be special needs.
May be repeated for credit as often as permitted
and as subject matter changes.
[4mRationale[0m: New leading statement intended merely to be
helpful and clarifyng.
STAT 125. This course, which was formerly the main mathematics
requirement for Management majors, has now evolved into a beginning,
low-level statistics course, with minimal mathematical expectations.
It is hoped that other departments would recognize the value of this
course, for their non-mathematically talented students.
STAT 228. A course which the statistics faculty want to phase out.
STAT 321. New course, to replace STAT 228, as recommended by
current faculty in Statistics.
STAT 325. Reflects the topics in the course as it is currently
being taught.
STAT 326. New course, to be the second half of STAT 325.
STAT 327. Reflects the topics in the course as it is currently
being taught.
STAT 171-3, etc. Makes this part of catalog conform to the rest,
and allows the department to offer occasional ad hoc topics in
Statistics.
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