Department of Mathematics

MATH 414G ADVANCED CALCULUS(4-0-4)(S)(Offered on demand odd-numbered years). Infinite series, sequences and series of functions, uniform convergence, theory of integration (Riemann and Stieltjes), further topics as time permits. PREREQ: MATH 275, MATH 301, MATH 314.

MATH 436G PARTIAL DIFFERENTIAL EQUATIONS(3-0-3)(F)(Offered on demand even-numbered years). Theory of partial differential equations and boundary value problems with applications to the physical sciences and engineering. Detailed analysis of the wave equation, the heat equation, and Laplace's equation using Fourier series and other tools. PREREQ: MATH 333.

MATH 456G LINEAR PROGRAMMING(4-0-4)(S). Simplex algorithm two-phase method, simplex algorithm for problems with bounded variables, duality theory, postoptimality analysis, network simplex method, and the transportation and assignment problems. PREREQ: MATH 301.

MATH 465G NUMERICAL ANALYSIS (4-0-4)(S)(Offered on demand odd-numbered years). The application of numerical methods to the interpretation and analysis of data, solution of equations, general iterative methods, approximation of functions, and error analysis. PREREQ: MATH 301 or MATH 333 or PERM/INST.

MATH 490G MATHEMATICS IN SECONDARY SCHOOLS(3-0-3)(F). Objective, content, and methods of secondary school mathematics programs. PREREQ: Six hours of mathematics completed at or above e the 300-level.

MATH 501 FOUNDATIONS OF MATHEMATICS(3-0-3)(SU). An introduction to the language and methods of reasoning used throughout mathematics, and to selected topics in discrete mathematics. Propositional and predicate logic; elementary set theory; introduction to proof techniques including mathematical induction; functions and relations; and basic principles of elementary number theory, combinatorial enumeration, and graph theory. PREREQ: MATH 143, MATH 147 or MATH 257.

MATH 505 ABSTRACT ALGEBRA (4-0-4)(F). (Offered on demand odd-numbered years.) Sylow theorems, solvable groups, rings and ideals, rings of polynomials, factorization, fields and extensions, Galois Theory. PREREQ: MATH 301 and MATH 305.

MATH 511 INTRODUCTION TO TOPOLOGY (3-0-3)(S). (Offered on demand even-numbered years.) Sets, metric spaces, topological spaces, continuous mappings, connectedness, compactness. PREREQ: MATH 314.

MATH 547 HISTORY OF MATHEMATICS(3-0-3) The course is designed for mathematics teachers in the secondary school. the course consists of two parts: the first part traces the development of algebra, geometry, analytic geometry and calculus to the 19th century; the second part gives a brief introduction to, and history of, some of the developments in mathematics during the last century. PREREQ: PERM/INST.

MATH 564MATHEMATICAL MODELING(3-0-3)(SU) Introduction to mathematical modeling through case studies. Deterministic and probabilistic models; optimization. Examples will be drawn from the physical, biological, and social sciences. A modeling project will be required. PREREQ: MATH 361 or PERM/INST.

MATH 591 PROJECT(May be taken for 3 to 6 credits). A project may include, but is not limited to, a library research paper, educational research or written curriculum with teaching materials. PREREQ: The student must be admitted to candidacy.

MATH 593 THESIS(May be taken for 3 to 6 credits). Original mathematical research or a new interpretation or novel exposition of existing mathematics. Course is arranged with supervising faculty member. PREREQ: Admission to candidacy.

MATH 598 SEMINAR IN MATHEMATICS(3-0-3). The content will vary within a format of student presentation and discussion of relatively advanced mathematical topics selected from texts or mathematical journals. This will not be a seminar in mathematics education.