THE UNIVERSITY OF NORTH CAROLINA AT ASHEVILLE FACULTY SENATE Senate Document Number 1289S  Date of Senate Approval 2/9/89  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 #5 A. Changes in The Pure Mathematics Program 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 Page 2 completion of the GRE Mathematics Test, and the presentation of one seminar in MATH 380." Rationale: 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. Changes in The Teaching of Mathematics Program 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." Rationale: 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. Proposed Restructure of The Applied Mathetics Program "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. Page 3 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. Rationale: 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 111 hours in Parts I and II. The one above requires a minimum of 60 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. Changes in The Statistics and Actuarial Science Program 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 Page 4 Mathematics 380." Rationale: Present faculty feel this is a better program in Statistics. Changes also reflect new curriculum for Statistics being proposed (see G). E. Changes in Mathematics Minor Mathematics Minor: INSERT after the words, "... at the 300 level or above.": "with no more than 1 credit in Mathematics 380." Rationale: 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. Changes in Mathematics Course Description 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." Page 5 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." Rationale: 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 one 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). Page 6 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. Changes in Statistics Course Description 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. Page 7 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. Rationale: 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. Page 8