THE UNIVERSITY OF NORTH CAROLINA AT ASHEVILLE
FACULTY SENATE
Senate Document Number 1892S
Date of Senate Approval 3/5/92
Signature of Senate Chair __________________________ Date________
Action of Vice Chancellor:
Approval _______________________________ Date________________
Denied _______________________________ Date________________
Reasons for denial and suggested modifications:
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Statement of Faculty Senate Action:
APC DOCUMENT #17: Changes in Mathematics
EFFECTIVE DATE: Fall, 1992
1. DELETE: Catalog description for MATH 155, page 146
ADD: "A variety of traditional and nontraditional topics in
mathematics. Historical development, generalizations to
mathematical theory, and applications to real life are
components of each topic. Topics may include set theory
and logic, algebraic models, geometry, and number systems.
Prerequisite: MATH 104 or satisfactory performance on the
mathematics placement examination."
IMPACT STATEMENT: No impact.
RATIONALE: This change was recommended by a departmental
committee made up of recent instructors of MATH 155 who
felt these changes (together with a new choice for
textbook) would improve the course.
2. DELETE: Catalog description for MATH 291, page 146. (Only
change is in last line of description.)
ADD: "Functions of several variables, with emphasis on
partial differential and multiple integration; introduction
to vector analysis; may include an introduction to line and
surface integrals. Prerequisite: MATH 192."
IMPACT: No impact.
RATIONALE: Insertion of "may" makes wording more accurate,
reflecting the current policy of optional placement of
these topics in the course, to be covered by the better
classes, if time permits.
3. DELETE: In the statement concerning the Mathematics Minor for
Science Teachers, p 145, the word "SCIENCE" should be
deleted both in the title and in the specification.
Everything else remains the same.
IMPACT: See Department of Education statement.
RATIONALE: This change was requested by the Education
Department; it is felt this would allow, and encourage, a
larger class of teachers to attempt the program.
4. DELETE: Prerequisite statement of MATH 332, p 147.
ADD: "Prerequisites: MATH 280 and 291."
IMPACT: No impact.
RATIONALE: Most students will have already taken MATH 280 at
the time they register for MATH 332, and this merely
formalizes the unwritten policy, which is deemed quite
appropriate for this course.
5. DELETE: In catalog statement pp 144-145 of PART II in EACH of
the four programs for the Mathematics Major under "Other
required courses", delete: "CSCI 141 or 142, and 243 (6
hours)." or similar wording.
ADD: "CSCI 201 and 202 (6 hours)..."
IMPACT: Negligible impact.
RATIONALE: This recommendation is made after consultation
with members of the Computer Science Department. These two
courses are the first two suggested by recent ACM
recommendations in the area of Computer Science.
6. DELETE: Course description for both MATH 361, 362, p 147.
ADD: "MATH 361, Modern Algebra I (3) - An introduction to the
algebraic structures: groups, rings, integral domains, and
fields. Basic facts about group and ring homomorphisms are
included. Prerequisites: MATH 280 and 291, or permission
of the instructor.
"MATH 362, Modern Algebra II (3) - An in-depth study of one
or more of the ideas introduced in MATH 361; e.g., the
Sylow theorems for group or elementary Galois theory of
fields. Prerequisite: MATH 361."
IMPACT: No impact.
RATIONALE: MATH 361 is now taught once yearly by various
instructors, so we are splitting the course description
between MATH 361 and 362 so that instructors of MATH 361
will have definite topics to cover.
7. DELETE: Course description for both MATH 365, 366, p 147.
ADD: "MATH 365, Linear Algebra I (3) - Systems of linear
equations, vector spaces, matrices, linear transformations,
and theory of determinants. An introduction to inner
product spaces to include Gram-Schmidt orhogonalization,
eigenvectors, and diagonalization of matrices.
Prerequisites: MATH 280 and 291, or permission of the
instructor.
"MATH 366, Linear Algebra II (3) - An in-depth treatment of
topics from MATH 365. Other topics include applications of
eigenvalues and eigenvectors; Jordan Canonical form, the
Hamilton-Cayley theorem, quadratic forms, and linear
programming. Prerequisite: MATH 365."
IMPACT: No impact.
RATIONALE: MATH 365 is now taught once yearly by various
instructors, so we are splitting the course description
between MATH 365 and 366 so that instructors of MATH 365
will have definite topics to cover.
8. DELETE: Title and course description of MATH 432, Topo-
logy II, and delete "I" from title of MATH 431, p 148.
IMPACT: No impact.
RATIONALE: To our knowledge this course has never been
taught, certainly not in the last 9 years. Should student
interest arise for this course at some later date,
accommodation could be made with a Special Topics course.
9. DELETE: Course description for MATH 492, p 148.
ADD: "MATH 492, Analysis II (3) - Sequences and series of
functions. Further topics may include, for example,
introduction to metric spaces, Lebesgue measure and
integration, and functions of more than one variable.
Prerequisite: MATH 491."
IMPACT: No impact.
RATIONALE: The new description reflects the course as
currently being taught, which meets the approval of the
department.
10. DELETE: Prerequisite statements for both MATH 380 and
381, p 147.
ADD: Prerequisite statement for MATH 380: "Prerequisites:
MATH 291 and at least Junior standing, or permission of the
instructor."
Prerequisite statement for MATH 381: "Prerequisites: MATH
380 and 291, and at least Junior standing, or permission of
the instructor."
IMPACT: No impact.
RATIONALE: This change will guarantee a deeper mathematics
background for students in these courses.