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  • MATH 5700

    Introduction to Geometry
     Rating

    4.29

     Difficulty

    3.29

     GPA

    3.19

    Last Taught

    Spring 2026

    Topics selected from analytic, affine, projective, hyperbolic, and non-Euclidean geometry. Prerequisite: MATH 2310, 3351, or instructor permission.

  • MATH 5896

    Supervised Study in Mathematics
     Rating

    —

     Difficulty

    —

     GPA

    —

    Last Taught

    Spring 2026

    A rigorous program of supervised study designed to expose the student to a particular area of mathematics. Prerequisite: Instructor permission and graduate standing.

  • MATH 7000

    Seminar on College Teaching
     Rating

    —

     Difficulty

    —

     GPA

    4.00

    Last Taught

    Fall 2025

    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.

  • MATH 7010

    Seminar on Research in Mathematics
     Rating

    —

     Difficulty

    —

     GPA

    3.83

    Last Taught

    Spring 2026

    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.

  • MATH 7070

    Topics in Logic and Model Theory
     Rating

    —

     Difficulty

    —

     GPA

    —

    Last Taught

    Spring 2026

    Covers topics in first order logic and model theory.

  • MATH 7305

    Problems in Analysis
     Rating

    —

     Difficulty

    —

     GPA

    —

    Last Taught

    Summer 2025

    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.

  • MATH 7310

    Real Analysis and Linear Spaces I
     Rating

    4.33

     Difficulty

    5.00

     GPA

    3.57

    Last Taught

    Spring 2026

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

  • MATH 7340

    Complex Analysis I
     Rating

    4.33

     Difficulty

    4.00

     GPA

    3.58

    Last Taught

    Fall 2025

    Studies the fundamental theorems of analytic function theory.

  • MATH 7410

    Functional Analysis I
     Rating

    —

     Difficulty

    —

     GPA

    3.85

    Last Taught

    Fall 2025

    Studies the basic principles of linear analysis, including spectral theory of compact and selfadjoint operators. Prerequisite: MATH 7340 and 7310, or equivalent.

  • MATH 7600

    Homological Algebra
     Rating

    —

     Difficulty

    —

     GPA

    3.52

    Last Taught

    Spring 2026

    Examines categories, functors, abelian catqegories, limits and colimits, chain complexes, homology and cohomology, homological dimension, derived functors, Tor and Ext, group homology, Lie algebra homology, spectral sequences, and calculations. Prerequisite: MATH 5770.