A variety of workshops on special topics within the discipline. Goals and objectives will emphasize the acquisition of general knowledge and skills in the discipline.
Update skills and knowledge of professionals in the discipline. Goals and objectives will be specifically directed at individual professional enhancement rather than the acquisition of general discipline knowledge or methodologies. S/U or letter graded.
Polynomial equations including DeMoivre's Theorem, the Fundamental Theorem of Algebra, methods of root extraction (e.g. Newton, Graffe) multiplicities, symmetric functions, matrices and determinants. Elementary computer applications.
Individualized investigation under the direct supervision of faculty member. (Minimum of 37.5 clock hours required per credit hour.)
Special Notes
Maximum concurrent enrollment is two times.
A study of groups, rings and fields with a special emphasis on groups and fields.
Vector spaces, linear transformations, matrices, eigenvalues, canonical forms, quadratic forms and other selected topics.
A broad, deep survey of topics in enumerative combinatorics, with a focus on mathematical reasoning and problem solving.
Techniques in problem solving applied to algebra, number theory, geometry, probability, discrete mathematics, logic and calculus. A study of Polya's heuristic rules of mathematical discovery.
Sequence of two courses to extend studies of calculus and analysis into the mathematical rigor and logic of analysis. Includes: real numbers, sequences, topology, limits, continuity, differentiation, series and integration.
An exploration of select topics in real analysis providing a deeper understanding of real numbers, continuous functions, and the theoretical underpinnings of calculus.
Introduction to the process of mathematical modeling using a wide selection of mathematical tools, with an emphasis on development, verification and interpretation of models and communication of results.
Point-set topology and the foundations of real analysis.
A survey of both traditional Euclidean geometry and contemporary geometries, in which applications of geometry are integrated into the study of the mathematical structure of geometrical systems.
Methods related to descriptive and inferential statistics and the concept of probability are investigated in depth.
First course in complex variables, especially for potential calculus teachers. After preliminaries, proceed directly to power series, Laurent's series, contour integration, residue theory, polynomials and rational functions.
Survey of mathematical conceptual development and the people involved from antiquity to the present, including content connections and use of primary and secondary sources.
A problem solving approach to a survey of core abstract algebra topics including groups, rings, integral domains, fields and number theory related results.
Topics from various fields of mathematics which reflect specific interests of instructors and students.
Students research a mathematical problem relevant to their own teaching and write an expository paper on that topic.