Courses:
Master of Education (MEd) in Curriculum & Instruction with a Content Specialization in Mathematics

Advanced study in the specialization of life-span development theories to human behavior, learning and cognition. Includes specific models of cognition and relevant research. This course includes the nature of needs of people at all developmental levels from prenatal through old age.

Duration: 7 weeks
Credit Hours: 3

This course examines approaches in developing, implementing and evaluating curricula. Principles and practices in the production and use of curriculum frameworks, guides, textbooks, technologies and other curriculum materials will be included.

Duration: 7 weeks
Credit Hours: 3

A survey of quantitative, qualitative, and mixed methods research designed to introduce students to educational research. This course will include research design, literature review, critiquing research, and action research.

Duration: 7 weeks
Credit Hours: 3

Analyzing historical and sociocultural forces of education with regard to education through philosophical, sociological, historical and anthropological perspectives.

Duration: 7 weeks
Credit Hours: 3

An introduction to basic concepts, techniques and issues in assessment of student learning and learning environments. (Prescribed elective for all students who do not have a required assessment course in their specialization)

Duration: 7 weeks
Credit Hours: 3

The purpose of this course is to provide the necessary background for all branches of modern mathematics involving analysis and to train the student in the use of axiomatic methods. Topics include metric spaces, sequences, limits, continuity, function spaces, series, differentiation and the Riemann integral. Prerequisite: MATH 3372 Real Analysis I with a grade of "C" or higher.

Duration: 7 weeks
Credit Hours: 3

This course is an extension of the undergraduate course in abstract algebra. Topics include polynomial rings over a field and finite field extensions. Prerequisite: MATH 3363 Modern Algebra I with a grade of "C" or higher.

Duration: 7 weeks
Credit Hours: 3

Topics in this course include set theory and concept of probability, conditional probability, random variables, discrete and continuous probability distributions, distribution and expectations of random variables, moment generating functions, transformation of random variables, order statistics, central limit theorem and limiting distributions. Prerequisite: MATH 2415 Calculus III with a grade of "C" or higher, or consent of instructor.

Duration: 7 weeks
Credit Hours: 3

This course contains selected topics in computational, combinatorial and differential geometry as well as combinatorial topology. Topics include the point location problem, triangulations, Voronoi diagrams and Delaunay triangulations, plane curves and curvature, surfaces and polyhedrons and Euler characteristic. Departmental approval.

Duration: 7 weeks
Credit Hours: 3

This course is an introduction to number theory, one of the major branches of modern mathematics. Topics include arithmetic functions, multiplicativity, Moebius inversion, modular arithmetic, Dirichlet characters, Gauss sums, primality testing, distribution of primes, primitive roots, quadratic reciprocity, Diophantine equations, and continued fractions. Applications and further topics include cryptography, partitions, representations by quadratic forms, elliptic curves, modular forms, irrationality, and transcendence. Departmental approval.

Duration: 7 weeks
Credit Hours: 3

This course is an introduction to modern finite mathematics. Topics include methods of enumeration, analytic methods, generating functions, the theory of partitions, graphs, partially ordered sets, and an introduction to Polya’s theory of enumeration.

Duration: 7 weeks
Credit Hours: 3