THE UNIVERSITY OF NORTH CAROLINA AT ASHEVILLE

FACULTY SENATE

Senate Document Number 6203S

Date of Senate Approval 03/06/03

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Statement of Faculty Senate Action:

APC Document 57:           Computer Competency in Mathematics; Changes to Math Licensure Requirements;
                                        Elimination of MATH 163 and 164 and the resulting editorial changes;
                                        Changes to times offered and prerequisites for MATH 211/212, 215/216, 332;
                                        Delete MATH 158 with resulting changes to K-6 licensure

Effective Date: Fall 2003

I. Clarification of the Computer Competency Requirement

The following changes must be made to each of the four introductions to concentrations.

Concentration in Pure (Theoretical) Mathematics

Concentration in Applied Mathematics

Concentration in Statistics

Mathematics with Teacher Licensure

DELETE on pages 166 and 167

III. Other departmental requirements-- Satisfactory performance on a comprehensive Mathematics exam and the satisfactory presentation of one seminar in MATH 480. Satisfactory completion of this course fulfills the oral competency requirement.

ADD (in lieu of previous description)

III. Other departmental requirements-- Satisfactory performance on a comprehensive Mathematics exam and the satisfactory presentation of one seminar in MATH 480. Successful completion of MATH 480 demonstrates the oral competency. Successful completion of CSCI 201 demonstrates the computer competency.

IMPACT STATEMENT:
None foreseen.

RATIONALE:
The changes have been in response to the campus wide computer literacy requirement.

The mathematics department teaches several computational intensive courses, in which students learn to use the mathematical software packages to augment their understanding of mathematical concepts. Examples of these course are: Calculus I, II & III (Software package: Maple), Stat 185/ 225 (Software package: Minitab), and Math 352 (Software package: Stella). The one common dimension of this type of the computer application is the ability to design and implement an algorithm, CSCI 201 serves that need.

II. Changes in required courses for the Mathematics with Teacher Licensure

DELETE on page 167 under "Mathematics with Teacher Licensure" item I

I . Required courses in the major--39 hours, including MATH 191, 192, 251, 280, 291, 332, 365, 381, 480; STAT 225; two courses from: MATH 394, 461 or 491; and an additional 3 hours in Mathematics or Statistics courses numbered above 300.

ADD (in lieu of previous description)

I. Required courses in the major--39 hours, including MATH 191, 192, 251, 280, 291, 332, 365, 381, 461, 480; STAT 225; and an additional 6 hours in Mathematics or Statistics courses numbered above 300.

IMPACT STATEMENT:
None foreseen.

RATIONALE:
These changes allow students in the Teaching of Mathematics concentration to have some flexibility in the choices of courses without compromising required content areas of mathematics.

III. Changes in required courses for the Mathematics Minor

ADD on page 168 under Minor in Mathematics after the sentence ending in "... in MATH 480."

"MATH 280 may be substituted for a 300 level course."

IMPACT STATEMENT:
No major impact foreseen, except for a slight increase in students choosing to minor in Mathematics.

RATIONALE:
Math 280 is the gateway course to theoretical mathematics. Allowing students the option of taking this opens up the possibility of students minoring in mathematics to explore theoretical mathematics courses. A second group of students that might be served are those that start as mathematics majors, but switch to another major. Adding Math 280 as a course permissible for the minor will allow these students to complete a minor program more easily.

IV. Elimination of the Math 163/164 course sequence

DELETE on page 168 the course names and descriptions of MATH 163 and MATH 164

163 Applied Algebra (4)

A study of algebraic, exponential and rational functions and their applications. Topics will include graphing, the solving of equations, and mathematical modeling. (Students may not receive credit for both MATH 163 and 167). Fall and Spring.

164 Trigonometry (2)

A study of trigonometric functions, identities, equations and their applications. Topics will include complex numbers and polar coordinates. Prerequisite: MATH 163. (Students may not receive credit for both MATH 164 and 167.) Fall and Spring.

IMPACT STATEMENT:
The elimination of these two courses will streamline the department's general education offering and would reduce reliance on adjunct instruction. Presently the department offers two versions of precalculus coursework: a four-hour course, MATH 167, and the two-course sequence MATH 163/164. Students in need of a preparatory class for Calculus (a required course for almost all science majors) will still have the MATH 167 option available, but not the slower paced version.

Ten years ago the annual enrollment of MATH 163 and 164 was over 200 and over 150 respectively. Five years ago these two values dropped to annual enrollments of about 150 and 50. In the year 2002 the enrollment declined to 64 students for MATH 163 and 25 for MATH 164.

About a third of the students in MATH 163 should have taken the Nature of Mathematics, MATH 155, but for various reasons took this class instead. Another third should have taken MATH 167 but chose the "easier" alternative. The final third were appropriately placed in this class. MATH 164 has a similar breakdown of students. The elimination of MATH 163 (together with 164) would mean that these students would need to work with tutors in the math lab.

Elimination of MATH 163 / 164 would free up instructors for 4 4-hour courses. In all likelihood these resources would be used to teach extra sections of existing introductory math courses.

RATIONALE:
The five main reasons for this change are:

1) No department seemed interested in having their students take this class, and enrollments in these courses are dropping.

2) Reducing the number of "Precalculus" type courses from 3 to 1 will be more economical for the department and the university.

3) Eliminating these courses will reduce confusion during advising.

4) MATH 163 (formerly called "College Algebra") is a course very similar to Algebra taught in the high school. MATH 167 approaches algebra (and trigonometry) from a more preferred "function" perspective (more mathematical and less computational).

5) There is some confusion over the credit hours awarded for similar course work. MATH 167 is a four hour course, while MATH 163/164 is a six hour sequence.)

Changes necessitated by the elimination of Math 163 and Math 164

MATHEMATICS PROGRAM

DELETE on page 168, after the course description for Math 158

The following courses may not be taken out of sequence: MATH 163, 164, 191, 192 and 291. (MATH 167 may replace 163 and 164.)

ADD (in lieu of previous description)

The following courses may not be taken out of sequence: MATH 167, 191, 192 and 291.

DELETE on page 168, course description for Math 167

167 Precalculus (4)

The topics are identical to those covered in MATH 163 and MATH 164. This course is primarily for students who need to take Calculus I but do not have a sufficient mathematics background to do so. Prerequisites: the equivalent of two years of high school algebra and satisfactory performance on the mathematics placement exam. (Students may not receive credit for both MATH 167 and 163, or for both MATH 167 and 164.) Fall and Spring.

ADD (in lieu of previous description)

167 Precalculus (4)

A study of rational, algebraic, exponential and trigonometric functions and their applications. Topics will include graphing, the solving of equations, and mathematical modeling. This course is primarily for students who need to take Calculus I but do not have a sufficient mathematics background to do so. Prerequisites: the equivalent of two years of high school algebra. (Students may not receive credit for MATH 167 if previous credit earned for MATH 163 or 164.) Fall and Spring.

DELETE on page 168, prerequisites to Math 191.

Prerequisites: MATH 163 and 164; or MATH 167; or four years of high school mathematics, including algebra, geometry and trigonometry; and satisfactory performance on the mathematics placement exam. Fall and Spring.

ADD (in lieu of previous description)

Prerequisites: MATH 167; or four years of high school mathematics, including algebra, geometry and trigonometry. Fall and Spring.

GENERAL EDUCATION

DELETE on page 43, in the listing of Mathematics options.

MATH 163 Applied Algebra 4

CHEMISTRY

DELETE on page 75, under CHEM 132 prerequisites.

Prerequisite: MATH 163 or higher

ADD: in lieu of previous prerequisite

Prerequisite: MATH 167 or higher

DELETE on page 76, under CHEM 144 prerequisites.

Prerequisite: MATH 163 or equivalent

ADD: in lieu of previous prerequisite

Prerequisite: MATH 167 or higher

COMPUTER SCIENCE

DELETE on page 86, under CSCI 142 prerequisites.

Prerequisite: MATH 163 or equivalent

ADD: in lieu of previous prerequisite

Prerequisite: MATH 167 or equivalent

DELETE on page 86, CSCI 201 prerequisites.

Prerequisite: Placement in MATH 163 or equivalent.

ENVIRONMENTAL STUDIES

DELETE on page 106, under major requirements item II.

"...two courses selected from MATH 163 or 167, 191, 192; STAT 185."

ADD: in lieu of previous statement

"...two courses selected from MATH 167, 191, 192; STAT 185."

MULTI MEDIA IN ARTS AND SCIENCE

DELETE on page 141, under Multimedia Arts and Sciences, item II.

"...MATH 163 or higher."

ADD: in lieu of previous statement

"...MATH 167 or higher."

MUSIC

DELETE on page 173, under major requirements for Bachelor of Science in Music Technology.

"... MATH 163 and 164, or MATH 167"

ADD: in lieu of previous statement

"MATH 167"

PHYSICS

DELETE on page 182, under PHYS 131

Prerequisite: MATH 164 or equivalent

ADD: in lieu of previous prerequisite

Prerequisite: MATH 167, 191, or equivalent

V. Minor editorial changes and corrections to the catalog.

Change in time of course offering:

CHANGE on page 169, in the description of 211 Structures of Mathematics I.

from "Fall and Spring." to "Fall."

CHANGE on page 169, in the description of 212 Structures of Mathematics I: Laboratory and Field Experience.

from "Fall and Spring." to "Fall."

CHANGE on page 169, in the description of 215 Structures of Mathematics II.

from "Fall and Spring." to "Spring."

CHANGE on page 169, in the description of 216 Structures of Mathematics II: Laboratory and Field Experience.

from "Fall and Spring." to "Spring."

Correction in Applied Mathematics Concentration

DELETE on page 167 the last sentence of Item I under the Applied Mathematics Concentration.

"These latter hours must include either MATH 366, 395; or the sequence STAT 425-426."

ADD: (in lieu of last sentence.)

"These latter hours must include either: one course from MATH 366, or 395; or the sequence STAT 425-426."

Editorial changes and corrections resulting from previously approved catalog modifications.

DELETE on page 168 the course name and description of Math 158.

158 Structure of Mathematics II (3)

Intuitive and deductive study of points, lines, planes, curves, surfaces, parallelism and similarity; linear, angular, area and volume measurement. Prerequisite: permission of the instructor. Fall and Spring

EDUCATION

Changes on page 101 in the Elementary School Licensure (K-6)

Replace MATH 157 and MATH 158, with MATH 211, 212 and MATH 215, 216.

DELETE: (Deletion of MATH 157/158 from list of required courses)

II. Required courses outside Education - 19~25 hours, including; HIST 101 or 102, 151, 152, 315. The requirement of HIST 151 and 152 can be met through the 16-hour Humanities sequence. MATH 157, 158; PSYC 101, 318. Recommended elective: ANTH 215 or SOC 240.

ADD: (in lieu of previous statement)

II. Required courses outside Education - 21~27 hours, including; HIST 101 or 102, 151, 152, 315. The requirement of HIST 151 and 152 can be met through the 16-hour Humanities sequence. MATH 211, 212, 215, 216; PSYC 101, 318. Recommended elective: ANTH 215 or SOC 240.

RATIONALE
These corrections are necessitated by catalog changes made by APC in the 2000/2001 academic year.