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Farsi, Parvati Carla Emilia Professor

Positions

Research Areas research areas

Research

research overview

  • I do research in both geometric and topological functional analysis, with special emphasis on orbifolds, groupoids, stratifications inertia spaces, noncommutative geometry, k-graphs and associated wavelets.

keywords

  • orbifolds, compact group actions, stratified spaces, differential structures, k-graphs

Publications

selected publications

Teaching

courses taught

  • MATH 2400 - Calculus 3
    Primary Instructor - Fall 2019
    Continuation of MATH 2300. Topics include vectors, three-dimensional analytic geometry, partial differentiation and multiple integrals, and vector analysis. Department enforced prerequisite: MATH 2300 or APPM 1360 (minimum grade C-). Degree credit not granted for this course and APPM 2350.
  • MATH 3001 - Analysis 1
    Primary Instructor - Spring 2018 / Spring 2019 / Fall 2021
    Provides a rigorous treatment of the basic results from elementary Calculus. Topics include the topology of the real line, sequences of numbers, continuous functions, differentiable functions and the Riemann integral.
  • MATH 3430 - Ordinary Differential Equations
    Primary Instructor - Fall 2020
    Involves an elementary systematic introduction to first-order scalar differential equations, nth order linear differential equations, and n-dimensional linear systems of first-order differential equations. Additional topics are chosen from equations with regular singular points, Laplace transforms, phase plane techniques, basic existence and uniqueness and numerical solutions. Formerly MATH 4430.
  • MATH 3850 - Seminar in Guided Mathematics Instruction
    Primary Instructor - Fall 2019
    Provides learning assistants with an opportunity to analyze assessment data for formative purposes and develop instructional plans as a result of these analyses. These formative assessment analyses will build on the literature in the learning sciences. Students gain direct experiences interacting with the tools of the trade, especially with actual assessment data and models of instruction. May be repeated up to 3 total credit hours. Restricted to learning assistants in Math.
  • MATH 4001 - Analysis 2
    Primary Instructor - Fall 2020
    Provides a rigorous treatment of infinite series, sequences of functions and an additional topic chosen by the instructor (for example, multivariable analysis, the Lebesgue integral or Fourier analysis). Same as MATH 5001.
  • MATH 6210 - Introduction to Topology 1
    Primary Instructor - Fall 2018 / Fall 2021
    Introduces elements of point-set topology and algebraic topology, including the fundamental group and elements of homology. Department enforced prerequisites: MATH 2130 and MATH 3140 and MATH 4001. Instructor consent required for undergraduates.

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