STEM Education - Mathematics and Statistics

Units: 3

The course aims to develop: familiarity with research related to the teaching and learning of STEM content within technological learning environments, advanced knowledge of the ways technology can support teaching and learning in STEM, and ability to design technology-enabled learning experiences. Course activities are designed to enhance understandings and applications of technological tools within and across STEM disciplines.

Offered in Fall and Spring

Units: 3

Teaching and learning of algebra from a developmental perspective; research-based methods for developing students' algebraic thinking; structure and processes used in algebra. Focus on how students develop algebraic ideas from upper elementary grades through Algebra I.

Offered in Fall Only

YEAR: Offered Alternate Odd Years

Units: 3

Focus will be on the development of geometric thinking in grades K-12 using multiple instructional approaches, including technology, and considered using different theories of learning and frameworks [e.g., Van Hiele, SOLO taxonomy]. Topics may include: measurement, similarity, congruence, properties of 2 and 3 dimensional figures, circles, non-Euclidean geometries. Synthetic, analytic and transformational, formal and informal approaches will be highlighted.

Offered in Fall Only

YEAR: Offered Alternate Even Years

Units: 3

This course is designed to bridge theory and practice on how students develop understandings of key concepts in data analysis, statistics, and probability. Discussion of students' understandings, teaching strategies and the use of manipulatives and technology tools. Topics include distribution, measures of center and spread, sampling, sampling distribution, randomness, and law of large numbers. Must complete a first level graduate statistics course [ ST 507, ST 511, or equivalent] before enrolling.

Offered in Spring Only

YEAR: Offered Alternate Even Years

Units: 3

This course focuses on interactions between students and teachers in the mathematics classroom. Topics studied will include: whole class instruction, small group activity, questioning and facilitating classroom discussion. This course will include a field experience in the schools for which students will be required to provide their own transportation. Course restricted to mathematics education students in the MED, MS or MAT programs.

Offered in Spring Only

YEAR: Offered Alternate Odd Years

Units: 3

Prepares prospective mathematics teachers to use technology in their classrooms to assist students in formulating and solving math problems in the middle and high school mathematics curricula.

Offered in Summer

Units: 3

Research-based applications of technology tools in secondary and middle school mathematics. Advanced use of various technology tools for learning and teaching mathematics, including design of technology environments, appropriate investigation tasks, and professional development.

Offered in Spring Only

Units: 3

Survey of mathematical methods for engineers and scientists. Ordinary differential equations and Green's functions; partial differential equations and separation of variables; special functions, Fourier series. Applications to engineering and science. May not be taken for graduate credit by Master's or Ph.D. students in Mathematics or Applied Mathematics. Credit for this course and MA 401 is not allowed.

Offered in Fall Spring Summer

Units: 3

Determinants and matrices; line and surface integrals, integral theorems; complex integrals and residues; distribution functions of probability. Not for credit by mathematics majors. Any student receiving credit for MA 502 may receive credit for, atmost, one of the following: MA 405, MA 512, MA 513

Offered in Spring Only

Units: 3

A broad overview of topics in geometry. Various approaches to study of geometry, including vector geometry, transformational geometry and axiomatics. May not be taken for graduate credit by Master's or Ph.D. students in Mathematics or Applied Mathematics.

Offered in Fall Spring Summer

YEAR: Offered Alternate Years

Units: 3

Fundamental theorems on continuous functions; convergence theory of sequences, series and integrals; the Riemann integral. Credit for both MA 425 and MA 511 is not allowed

Offered in Fall and Spring

Units: 3

Operations with complex numbers, derivatives, analytic functions, integrals, definitions and properties of elementary functions, multivalued functions, power series, residue theory and applications, conformal mapping.

Offered in Fall and Spring

Units: 3

Vector spaces, linear transformations and matrices, orthogonality, orthogonal transformations with emphasis on rotations and reflections, matrix norms, projectors, least squares, generalized inverses, definite matrices, singular values.

Offered in Fall and Spring

Units: 3

Algorithm behavior and applicability. Effect of roundoff errors, systems of linear equations and direct methods, least squares via Givens and Householder transformations, stationary and Krylov iterative methods, the conjugate gradient and GMRES methods, convergence of method.

Offered in Fall and Spring

Units: 1 - 6

Offered in Fall and Spring

Units: 3

Basic concepts of statistical models and use of samples; variation, statistical measures, distributions, tests of significance, analysis of variance and elementary experimental design, regression and correlation, chi-square.

Offered in Fall Spring Summer

Units: 3

Covariance, multiple regression, curvilinear regression, concepts of experimental design, factorial experiments, confounded factorials, individual degrees of freedom and split-plot experiments. Computing laboratory addressing computational issues and use of statistical software.

Offered in Fall Spring Summer