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. Note: 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. Note: 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. Note: 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 5243

DIFF EQUATIONS II

Prerequisites: MATH 3243 and MATH 4003 or consent of the instructor. A continuation of MATH 3243 with emphasis on higher order and systems of differential equations.

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. Note: 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. Note: May not be taken for credit after completion of MATH 4293 or equivalent.

MATH 5343

INTRO PARTIAL DIFFERENTIAL EQU

Prerequisites: MATH 2934 and MATH 3243. This course is an introduction to partial differential equations with emphasis on applications to physical science and engineering. Analysis covers the equations of heat, wave, diffusion, Laplace, Dirichlet and Neumann equations. Course is suitable for senior level or first year graduate students in Mathematics, Physics, and Engineering.

MATH 6023

HIGHER ORDER THINKING

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 of 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

INTRO TO REAL ANALYSIS

Prerequisite: MATH 4253. Study of real numbers, topology of the line and plane, sequences and series, and differentiation and integration.

MATH 6213

METH TCH MID SCH MATH

Prerequisite: Permission of the instructor The course is an exploration of inductive teaching models, techniques, strategies, and research for teaching mathematics in the middle school. Emphasis will be placed on constructivist learning.

MATH 6323

METH TCH SECONDARY MATH

Prerequisite: Permission of the instructor The course is a study of materials, methods, and strategies for teaching mathematics in the secondary school. Emphasis will be placed on activity-based learning.

MATH 6881

WORKSHOP

Prerequisite: Permission of instructor The workshop will require the equivalency of fifteen clock hours of instruction per credit hour.

MATH 6882

WORKSHOP

Prerequisite: Permission of instructor The workshop will require the equivalency of fifteen clock hours of instruction per credit hour.

MATH 6883

WORKSHOP

Prerequisite: Permission of instructor The workshop will require the equivalency of fifteen clock hours of instruction per credit hour.

MATH 6891

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. Note: The selected topic may not constitute any duplication of study leading to the accomplishment of a thesis.

MATH 6892

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. Note: The selected topic may not constitute any duplication of study leading to the accomplishment of a thesis.

MATH 6893

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. Note: The selected topic may not constitute any duplication of study leading to the accomplishment of a thesis.

MATH 6894

INDEPENDENT STUDY

MATH 6991

PROJ/THESIS RES CONTINUATION

This course allows students additional time to research and compose their capstone project/portfolio.

MATH 6993

THESIS RESEARCH

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

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