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  • MATH 1150

    The Shape of Space
     Rating

    3.89

     Difficulty

    1.33

     GPA

    3.76

    Last Taught

    Fall 2025

    Provides an activity and project-based exploration of informal geometry in two and three dimensions. Emphasizes visualization skill, fundamental geometric concepts, and the analysis of shapes and patterns. Topics include concepts of measurement, geometric analysis, transformations, similarity, tessellations, flat and curved spaces, and topology.

  • MATH 1160

    Algebra, Number Systems, and Number Theory
     Rating

    4.00

     Difficulty

    1.29

     GPA

    3.77

    Last Taught

    Spring 2026

    Studies basic concepts, operations, and structures occurring in number systems, number theory, and algebra. Inquiry-based student investigations explore historical developments and conceptual transitions in the development of number and algebraic systems.

  • MATH 4840

    Introduction to Mathematical Research
     Rating

    —

     Difficulty

    —

     GPA

    3.78

    Last Taught

    Spring 2026

    This course will introduce students to the techniques and methods of mathematical research. Students will independently work with mathematical literature on a topic assigned by the instructor and present their findings in various formats (presentation, paper etc.).

  • MATH 8710

    Lie Algebras
     Rating

    —

     Difficulty

    —

     GPA

    3.82

    Last Taught

    Fall 2025

    Studies basic structure theory of Lie algebras.

  • 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 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 7754

    Algebra IV
     Rating

    —

     Difficulty

    —

     GPA

    3.91

    Last Taught

    Spring 2025

    Further topics in algebra.

  • MATH 8620

    Algebraic Geometry
     Rating

    —

     Difficulty

    —

     GPA

    3.93

    Last Taught

    Spring 2025

    Studies the foundations of algebraic geometry.

  • MATH 4993

    Independent Study
     Rating

    —

     Difficulty

    —

     GPA

    3.97

    Last Taught

    Spring 2026

    Reading and study programs in areas of interest to individual students. For third- and fourth-years interested in topics not covered in regular courses. Students must obtain a faculty advisor to approve and direct the program.

  • MATH 8750

    Topology of Manifolds
     Rating

    —

     Difficulty

    —

     GPA

    3.99

    Last Taught

    Fall 2025

    Studies regular and critical values, gradient flow, handle decompositions, Morse theory, h-cobordism theorem, Dehn's lemma in dimension 3, and disk theorem in dimension 4. Prerequisite: Math 5770.