MATH 5103. Linear Algebra II. Prerequisite: MATH 4003 or consent of the department of mathematics. A continuation of MATH 4003 with emphasis on abstract vector spaces, inner product spaces, linear transformations, kernel and range, and applications of linear algebra. MATH 5103 may not be taken for credit after completion of MATH 4103 or equivalent.

MATH 5113. History of Mathematics. Prerequisite: MATH 2943. A study of selected topics from the history and nature of mathematics from ancient to modern times. Emphasis will be placed on the historical development of mathematics through a study of biographies of prominent mathematicians and the evolution of some important mathematical concepts. The fundamental role of mathematics in the rise, maintenance, and extension of modern civilization will be considered. May not be taken for credit after completion of MATH 4113 or equivalent.

MATH 5153. Applied Statistics II. Prerequisite: MATH 3153. This course is a continuation of Math 3153 with emphasis on experimental design, analysis of variance, and multiple regression analysis. Students will be required to design and carry out an experiment, use a current statistical software package to analyze the data, and make inferences based upon the analysis. Math 5153 may not be taken for credit after completion of Math 4153 or equivalent.

MATH 5173. Advanced Biostatistics. Prerequisite: An introductory statistics course or permission of instructor. This course will include analysis of variance, one factor experiments, experimental design with two or more factors, linear and multiple regression analysis, and categorical data analysis.

MATH 5273. Complex Variables. Prerequisite: MATH 2943. An introduction to complex variables. This course will emphasize the subject matter and skills needed for applications of complex variables in science, engineering, and mathematics. Topics will include complex numbers, analytic functions, elementary functions of a complex variable, mapping by elementary functions, integrals, series, residues and poles, and conformal mapping. May not be taken for credit after the completion of MATH 4273 or equivalent.

MATH 5293. Introductory Topology. Prerequisite: MATH 4253. Metric spaces, topological spaces, mappings, limit points, continuity, connectedness, and compactness. May not be taken for credit after completion of MATH 4293 or equivalent.

MATH 6023. Higher Order Thinking in Mathematics. Prerequisite: Permission of instructor. This course will provide mathematics teachers in grades five through college with examples of lessons incorporating methods appropriate for students with different learning styles. These lessons will emphasize the use on manipulatives, hands-on materials, cooperative learning techniques, and technology. Mathematical content will help teachers build mathematical connections and concepts across grade levels using concrete experiences and bridging to abstract understanding.

MATH 6123. Modern Geometry. Prerequisite: MATH 3123. A brief review of standard topics in Euclidean Geometry followed by a study of hyperbolic and elliptic geometries, projective geometry, and geometric topology.

MATH 6143. Number Theory. Prerequisite: MATH 3133. The standard topics in the theory of numbers, including diversibility, congruences, quadratic residues, and distribution of primes, continued fractions, and number theoretic functions.

MATH 6183. Introduction to Real Analysis. Prerequisite: MATH 4253. Study of real numbers, topology of the line and plane, sequences and series, and differentiation and integration.

MATH 6881-3. Workshop. Prerequisite: Permission of instructor. The workshop will require the equivalency of fifteen clock hours of instruction per credit hour.

MATH 6891-4. Independent Study. Open to graduate students who wish to pursue individual study or investigation of some facet of knowledge which complements the purpose of the University's graduate program. Students will be required to plan their studies and prepare formal written reports of their findings. The selected topic may not constitute any duplication of study leading to the accomplishment of a thesis.

MATH 6993. Thesis Research. Directed research on a thesis topic selected by the student in consultation with a supervising professor.

MUSM(RP/ANTH) 5403. Interpretation/Education through Museum Methods. Prerequisites: Senior or Graduate standing, or permission of instructor. Museum perspectives and approaches to care and interpretation of cultural resources, including interpretive techniques of exhibit and education-outreach materials, and integrating museum interpretation/education into public school and general public programming. Class projects focus on special problems for managing interpretive materials in a museum setting. Graduate level projects or papers involve carrying out research relevant to the Museum’s mission and relating to current Museum goals.

MUS 5881-3. Workshop in Music. Prerequisite: Permission of instructor. Course with variable credit designed to meet specific needs of participants. Each credit hour will require the equivalency of fifteen clock hours of instruction.

MUS 6891-4. Independent Study. Open to graduate students who wish to pursue individual study or investigation of some facet of knowledge which complements the purpose of the University's graduate program. Students will be required to plan their studies and prepare formal written reports of their findings. The selected topic may not constitute any duplication of study leading to the accomplishment of a thesis.