MAS 2103 LINEAR ALGEBRA 3 credits

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 4 credits

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 gaining a deep understanding of the subject matter through the use of interactive computer algebra systems and application projects; emphasis is also given to development of algebraic reasoning abilities in analyzing conceptual relationships. Each student will develop an electronic portfolio of course projects and accomplishments, which incorporate the Florida Educator Accomplished Practices. This course addresses specific Sunshine State Standards, subject matter competencies, and pedagogy pertinent to the discipline and required for certification. 62 contact hours. (Credit is not also given for MAS 2103.) 62 contact hours. Mathematics education majors are required to complete MAS 3105.

MAS 4203 NUMBER THEORY 3 credits

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 addresses specific Sunshine State Standards, subject matter competencies, and pedagogy pertinent to the discipline and required for certification. This course is required for Mathematics Education majors. 47 contact hours.

MAS 4301 INTRODUCTORY ABSTRACT ALGEBRA 3 credits

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. This course addresses specific Sunshine State Standards, subject matter competencies, and pedagogy pertinent to the discipline and required for certification. 47 contact hours.