Mathematics (MATH)

College of Arts and Sciences

 

MATH 501 Mathematics for Teachers      Credit, 3 hours
Mathematical logic and symbols, basic number theory, and elementary abstract algebra. Prerequisite: MATH 310.

MATH 502 Linear Algebra for Teachers      Credit, 3 hours
Basic linear algebra and its applications, including vectors, matrices, systems of linear equations, and an investigation of geometry from an algebraic point of view. Prerequisite: MATH 310.

MATH 505 The History and Philosophy of Mathematics      Credit, 3 hours
An introduction to the history of mathematics, along with the attending development of the philosophical aspects of mathematical inquiry. Emphasis is placed on historically important problems in arithmetic, geometry, trigonometry, algebra, and analysis. Mathematical abstraction and generalization will be examined in historical context, from early numeration systems through the modern era. Prerequisite: MATH 310.

MATH 510 Elementary Function Theory for Teachers      Credit, 3 hours
An examination of various aspects of real-valued and complex-valued functions. Topics include trigonometric, logarithmic, exponential, and other elementary functions, together with the concepts of limit, continuity, and differentiability. Properties of the real line, and how they contribute to the properties of functions, are also examined. Prerequisite: MATH 310.

MATH 521 Complex Analysis for Teachers      Credit, 3 hours
A development of the complex numbers and the geometry of the complex plane. Topics include analytic functions as planar mappings, the Riemann sphere, and certain portions of the theory of equations. Prerequisite: MATH 310.

MATH 525 Differential Geometry for Teachers       Credit, 3 hours
A survey of the differential geometry of curves in 2-space and surfaces in 3-space. Topics include parametrization of curves, the local theory of curves, regular surfaces, the tangent plane, orientation of surfaces, the Gauss map, and elementary topology. Prerequisite: MATH 310.

MATH 535 Sequences and Series       Credit, 3 hours
A rigorous examination of the concept of convergence of sequences and series of real numbers. Topics include limits, absolute convergence, various convergence tests, Taylor series, and an introduction to sequences and series of complex numbers. Prerequisite: MATH 310.

MATH 540 Abstract Algebra      Credit, 3 hours
An introduction to algebraic systems, including groups, rings, and fields. Prerequisite: MATH 310.

MATH 570 Real Analysis       Credit, 3 hours
A study of functions, including convergence, continuity, differentiability, infinite series expansions and the supporting theory. Prerequisites: MATH 272 and 310.

MATH 580 Topology       Credit, 3 hours
Theory of sets, metric spaces, topological spaces, connectedness, and compactness. Prerequisite: MATH 310. Note: Students may not receive credit for both MATH 480 and MATH 580.

MATH 590 Individual Study      Credit, 3 hours
A course which allows the student to do independent study to further knowledge and competence in a specialized area. The material to be studied will be determined in consultation with the faculty member supervising the student. Prerequisite: Consent of instructor and Department Chair.

MATH 595 Special Topics       Credit, 3 hours
Topics will be announced prior to registration.