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Fox, Jeffrey S Professor

Positions

Research Areas research areas

Research

research overview

  • My research is focused on computer simulation of signalling in neurons. I also work on representation theory for locally compact groups.

keywords

  • group representations, non-commutative geometry, computational neuroscience

Publications

selected publications

Teaching

courses taught

  • APPM 4650 - Intermediate Numerical Analysis 1
    Primary Instructor - Spring 2018
    Focuses on numerical solution of nonlinear equations, interpolation, methods in numerical integration, numerical solution of linear systems, and matrix eigenvalue problems. Stresses significant computer applications and software. Department enforced prerequisite: knowledge of a programming language. Same as MATH 4650.
  • MATH 2130 - Introduction to Linear Algebra for Non-Mathematics Majors
    Primary Instructor - Fall 2018 / Spring 2019 / Fall 2019 / Spring 2020
    Examines basic properties of systems of linear equations, vector spaces, inner products, linear independence, dimension, linear transformations, matrices, determinants, eigenvalues, eigenvectors and diagonalization. Intended for students who do not plan to major in Mathematics. Degree credit not granted for this course and MATH 2135 or APPM 3310. Formerly MATH 3130.
  • MATH 3001 - Analysis 1
    Primary Instructor - Fall 2018
    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 3210 - Euclidean and Non-Euclidean Geometry
    Primary Instructor - Spring 2018
    Axiomatic systems; Euclid's presentation of the elements of geometry; Hilbert's axioms; neutral, Euclidean and non-Euclidean geometries and their models.
  • MATH 4330 - Fourier Analysis
    Primary Instructor - Spring 2020
    The notion of Fourier analysis, via series and integrals, of periodic and nonperiodic phenomena is central to many areas of mathematics. Develops the Fourier theory in depth and considers such special topics and applications as wavelets, Fast Fourier Transforms, seismology, digital signal processing, differential equations, and Fourier optics. Same as MATH 5330.
  • MATH 4650 - Intermediate Numerical Analysis 1
    Primary Instructor - Spring 2018
    Focuses on numerical solution of nonlinear equations, interpolation, methods in numerical integration, numerical solution of linear systems, and matrix eigenvalue problems. Stresses significant computer applications and software. Department enforced restriction: knowledge of a programming language. Same as APPM 4650.
  • MATH 5330 - Fourier Analysis
    Primary Instructor - Spring 2020
    The notion of Fourier analysis, via series and integrals, of periodic and nonperiodic phenomena is central to many areas of mathematics. Develops the Fourier theory in depth and considers such special topics and applications as wavelets, Fast Fourier Transforms, seismology, digital signal processing, differential equations, and Fourier optics. Department enforced prerequisite: MATH 4001. Same as MATH 4330.

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