Course Descriptions

Graduate Course Descriptions

Mathematical Applications Through Problem Solving and Lesson Study for Middle School Teachers (3.00)

MATH 6770

Teaching Mathematics to Diverse Populations (3.00)

MATH 6800

Seminar on College Teaching (1.00 - 3.00)

MATH 7000

Discussion of issues related to the practice of teaching, pedagogical concerns in college level mathematics, and aspects of the responsibilities of a professional mathematician. Credits may not be used towards a Master's degree. Prerequisite: Graduate standing in mathematics.

Seminar on Research in Mathematics (1.00 - 3.00)

MATH 7010

This seminar discusses the issues related to research in Mathematics. There are speakers from the different areas of mathematics represented at the University of Virginia. Credit may not be used towards a Master's degree. Prerequisite: Graduate standing in mathematics.

Ordinary Differential Equations and Dynamical Systems (3.00)

MATH 7250

Topics include well-posedness and stability of dynamical flows, attractors, invariant manifolds and their properties, and dissipative and Hamiltonian systems. Prerequisite: MATH 5310 and linear algebra, or the equivalent.

Problems in Analysis (3.00)

MATH 7305

Applications of the theory presented in MATH 7310, 7320, and 7340 to specific examples in real and complex analysis. The course emphasizes problem-solving and preparation for the General Examination in Analysis. Problems are based on those from past General Exams. This course is offered in the summer and restricted to Mathematics and Graduate Arts and Science students.

Real Analysis and Linear Spaces I (3.00)

MATH 7310

Introduces measure and integration theory. Prerequisite: MATH 5310 or equivalent.

Real Analysis and Linear Spaces II (3.00)

MATH 7320

Additional topics in measure theory. Banach and Hilbert spaces, and Fourier analysis. Prerequisite: MATH 7310, 7340, or equivalent.

Complex Analysis I (3.00)

MATH 7340

Studies the fundamental theorems of analytic function theory.

Complex Analysis II (3.00)

MATH 7350

Studies the Riemann mapping theorem, meromorphic and entire functions, topics in analytic function theory. Prerequisite: MATH 7340 or equivalent.

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