"Many awkward situations confront the performer on the bassoon, and these he overcomes with more or less deceptive skill" -- Walter Piston

Vita   (pdf file)

Distinguished Professor Emeritus as of July 1, 2015

• 640:357   Topics in Applied Algebra (Signal and Image Processing by Discrete Fourier Transform and Wavelet Transforms)

• 640:250-C1   Introductory Linear Algebra with MATLAB

• 642:550   Linear Algebra and Applications

• 640:492   Junior-Senior Honors Seminar: Mirrors and Reflections - The Geometry of Finite Reflection Groups (Spring 2011)

• 640:421-04   Advanced Calculus for Engineers

• 640:481   Mathematical Theory of Statistics

• 640:492   Junior-Senior Honors Seminar : Fourier Analysis on Finite Groups (Spring 2004)

• 640:502   Real Analysis II

• 640:549   Lie Groups

Three-Dimensional Kaleidoscopes

Books, Papers, and Lectures

• Discrete Fourier and Wavelet Transforms: An Introduction through Linear Algebra with Applications to Signal Processing
  (World Scientific, 2016)     List of corrections

• Symmetry, Representations, and Invariants
  by Roe Goodman and Nolan R. Wallach
  Graduate Texts in Mathematics 255 (Springer, 2009)

• Representations and Invariants of the Classical Groups
  by Roe Goodman and Nolan R. Wallach
  Cambridge U. Press, 1998; third corrected printing, 2003 (out of print)

• Introduction to Stochastic Models 2nd ed. (Dover, 2006)
    Simulation programs for examples in the book (runs under MS-DOS)
    Instructor's solution manual for first edition available on request.
  

• Multiplicity-Free Spaces and Schur-Weyl-Howe Duality
    Lectures at National University of Singapore, Jan.-Feb. 2003
    (definitions, examples, and statements of results; the full text is in
    Representations of Real and p-adic Groups (ed. E-C Tan and C-B Zhu),
    Lecture Note Series--Institute for Mathematical Sciences, Vol. 2,
    World Scientific, Singapore, 2004)

• Using Technology Offstage in Linear Algebra Courses
    Presented at
    Workshop on the Teaching of Linear Algebra, Drexel University, March 25, 2006
    Project NExT Workshop, Knoxville, August 8, 2006: slides

• Discrete Fourier and Wavelet Transforms: Mathematical Microscopes for Signal Processing
    talk given to
    Rutgers Undergraduate Mathematics Club, October 15, 2014   slides

• Recent Papers and Lectures

• Course descriptions and Matlab assignments for
  
  • Introductory Linear Algebra
  • Applied Linear Algebra
  • Topics in Applied Algebra (Discrete Fourier and Wavelet Transforms)

Miscellaneous

• Paul Roe Goodman, pianist

• Stephen Bloom Memorial Musicale Program May 2015

• Arias from La Traviata transcribed for 2 clarinets and bassoon

• Famous Opera Arias transcribed for oboe, clarinet, and bassoon

• Modeling beyond kaleidoscopes  (Mexican narrow gauge railways)