| MAS | |
MAS 2103 LINEAR ALGEBRA |
credits: 3 |
| Prerequisite: MAC 2311 or appropriate score on the SPC mathematics placement test. This course is an introduction to real vector spaces by using the properties of vectors and matrices to find the solution to systems of equations and the algebra of transformations. The properties of similar and diagonal matrices will be applied to the solution of problems. 47 contact hours. | |
MAS 3105 LINEAR ALGEBRA WITH APPLICATIONS |
credits: 4 |
Prerequisite: MAC 2312. This course is designed for students who are majoring in secondary mathematics education, mathematics, science or engineering. This course provides a thorough treatment of linear algebra using a matrix-oriented approach. Major topics include: matrices, systems of linear equations, linear transformations, determinants, eigenvectors and eigenvalues, vector spaces, subspaces, inner product spaces, and orthogonality. Emphasis is on development of algebraic reasoning abilities in analyzing conceptual relationships. (Credit is not also given for MAS 2103.) 62 contact hours. | |
MAS 4203 NUMBER THEORY |
credits: 3 |
Prerequisites: MAC 2312. This course is designed for students who are majoring in secondary mathematics education, mathematics, science or engineering. This course offers an investigative approach to number theory in which students develop their capacity to formulate conjectures and explore their ideas and inquiries through the use of technology. Formal proofs are constructed in order to develop concepts in number theory. Major topics include: divisibility, the Euclidean algorithm, Diophantine equations, factorization, the Fundamental Theorem of Arithmetic, prime numbers, congruences, and number-theoretic functions. Emphasis is on gaining an understanding of the nature of mathematical thinking and learning. This course is required for Mathematics Education majors. 47 contact hours. | |
MAS 4301 INTRODUCTORY ABSTRACT ALGEBRA |
credits: 3 |
Prerequisites: MAS 3105. This course is designed for students majoring in secondary mathematics education, mathematics, science or engineering. This course presents an introduction to the basic structures of abstract algebra with the aim of connecting these structures to high school mathematics curricula. Major topics include: groups and subgroups, permutations and symmetries, properties of the integers, rings and subrings, ideals, integral domains, and fields. Emphasis is on developing understanding through active investigation of the concepts presented. Emphasis is also given to development of algebraic reasoning abilities in analyzing conceptual relationships. 47 contact hours. | |
