Mansfield University Senate - CANs

The department of Mathematics and Computer Information Science has requested the following curricular changes:

# 1 Action:
Course Change: MA 3361 Modern Algebra I

Purpose and nature of change:
Change the catalog course description to more completely reflect the topics covered in the course so that any accrediting body may easily see which of their standards this course addresses. Further append to the catalog course description the National Council of the Teachers Of Mathematics standards by number that this course addresses.

Course Description for Catalog:
A study of sets, rings, integral domains, fields, groups, polynomials, congruences, algebra of classes, mappings, homomorphisms, isomorphisms, and relationships to numbers systems with an emphasis on proof. (Addresses NCTM Standards 1.5.9 and 1.5.14 for Mathematics Education majors.)
Prerequisite: MA 3260 or permission of instructor.

# 2 Action:
Course Change: MA 2231 Calculus I

Course Description for Catalog:
The purpose of this course is to develop a good understanding of limit, continuity, the derivative and its uses (including modeling and solving problems), to introduce the definite integral, and to establish the important relationship between the derivative and the definite integral. In this context the course will examine different classes of functions numerically, symbolically, and graphically. This course is intended for mathematics, science, and engineering majors. (Addresses NCTM Standards 1.5.8 and 1.5.10 for Mathematics Education majors.)
Prerequisite: High school algebra and trigonometry or MA 1165

# 3 Action:
Course Change: MA 2232 Calculus II

Course Description for Catalog:
This is a continuation of MA 2231 and is intended to develop a good understanding of thedefinite integral and its uses including calculating area and applying numerical computation and estimation techniques, and to develop basic integration techniques. Differential equations, Taylor polynomials, series, exponential functions, logarithmic functions, polar coordinates, and analytic geometry are also covered. (Addresses NCTM Standards 1.5.2, 1.5.3, 1.5.8, and 1.5.10 for Mathematics Education majors.)
Prerequisite: MA 2231 or equivalent.

# 4 Action:
Course Change: MA 2233 Calculus III

Course Description for Catalog:
This is a continuation of MA 2232, and the purpose of this course is to investigate functions of two or more variables. Topics include graphing functions of two or more variables, partial derivatives, vectors, optimization, double and triple integrals, line and surface integrals, and calculating volumes. (Addresses NCTM Standards 1.5.3 and 1.5.10 for Mathematics Education majors.)
Prerequisite: MA 2232 or equivalent.

# 5 Action:
Course Change: MA 3260 Discrete Structures

Course Description for Catalog:
Foundations of mathematics, emphasizing fundamental concepts in abstract mathematics
and deductive reasoning. Topics include logic, mathematical induction, graph theory, recurrence relations, difference equations, Boolean algebra, sets, functions, relations, cardinality, number systems, and algorithms. (Addresses NCTM Standard 1.5.11 for Mathematics Education majors.)

# 6 Action:
Course Change: MA 3280 Linear Algebra and Matrix Theory

Course Description for Catalog:
A study of the geometry of vectors, matrix algebra and operations, solutions of general systems of linear equations, inversion of matrices, determinants, vectors and vector spaces, subspaces, linear independence, bases and dimension, linear transformations, eigenvalues and eigenvectors, and applications. (Addresses NCTM Standards 1.5.11 and 1.5.13 for Mathematics Education majors.)
Prerequisite: MA 2232.

# 7 Action:
Course Change: MA 3304 History and Philosophy of Mathematics

Course Description for Catalog:
A study of the chronological development of facets of mathematics that have contemporary importance. The historical and philosophical background of each facet is integrated with experience in mathematical study and application. Emphasis is placed on great contributors of mathematics, their contributions, and their methods of reasoning including the contributions of underrepresented groups and diverse cultures. Concepts of number, number systems, and the nature of axiomatic reasoning are also covered. (Addresses NCTM Standards 1.5.1, 1.5.4, and 1.6 for Mathematics Education majors.)
Prerequisite: MA 3260.

# 8 Action:
Course Change: MA 3314 Applied Probability and Statistics

Course Description for Catalog:
An introduction to applications of descriptive, inferential statistics, and probability. Descriptive statistics including frequency distributions, measures of location and variation; axioms of probability, probability (both theoretical and simulated), permutations, combinations, random variables, expected value, and decision making; probability distributions (both discrete and continuous), distribution functions, sampling and sampling distributions; statistical inferences concerning means, standard deviations, and proportions; analysis of variance, non-parametric methods, regression, correlation, planning surveys and experiments.
(Addresses NCTM Standards 1.5.6, 1.5.7, and 1.5.11 for Mathematics Education majors.)
Prerequisite: MA 1170 or 2232.

# 9 Action:
Course Change: MA 3329 Modern Geometry I

Course Description for Catalog:
An introduction to the foundations of geometry, including non-Euclidean geometries, with emphasis on the axiomatic development of the Euclidean system and proof. Use of geometric concepts and relationships to describe and model mathematical ideas and real-world constructs including fundamental ideas of measurement, spatial visualization, transformations, coordinates, vectors, and a geometric perspective of trigonometry. A computer geometry program will be used. (Addresses NCTM Standards 1.5.4, 1.5.5, and 1.5.9 for Mathematics Education majors.)
Prerequisite: MA 3260.

From:	Academic Affairs Committee	Date:	November 5, 2003
This is a bulletin from the Academic Affairs Committee concerning proposed curricular actions. Please forward any comments or concerns in the next 10 days to the AAC chair, Flor Blanco, Belknap Hall 110A, Ext. 4604, fblanco@mnsfld.edu.