Notes written by Arun Ram

The following notes are a mess. A portion of these materials is based on work supported by the National Science Foundation under Grant No. DMS-0097977. Any opinions, findings, and conclusions expressed in this material are those of the author and do not necessarily reflect the views of the National Science Foundation.

(1) Artin-Wedderburn theorem and Jacobson density, radicals12.25.03.ps or radicals12.25.03.pdf .

(2) Symmetric functions, symmfcns1.24.04.ps or symmfcns1.24.04.pdf .

(3) W invariants, winvts1.26.04.ps or winvts1.26.04.pdf .

(4) Interpolating functions, qbasis1.28.04.ps or qbasis1.28.04.pdf .

(5) Skew polynomials, skewpolys1.29.04.ps or skewpolys1.29.04.pdf .

(6) Schur functions, schurfcns2.3.04.ps or schurfcns2.3.04.pdf .

(7) Toroidal Hecke algebras, toroidal2.18.04.ps or toroidal2.18.04.pdf .

(8) Symmetric and alternating functions monschur2.19.04.ps or monschur2.19.04.pdf .

(9) Semisimple algebras chap11.1.01.pdf .

(10) Numbers nums8.13.03.tex or nums8.13.03.ps or nums8.13.03.pdf .

(11) Angles angles8.9.03.tex or angles8.9.03.ps or angles8.9.03.pdf .

(12) Chain rule chrule8.24.03.tex or chrule8.24.03.ps or chrule8.24.03.pdf .

(13) Derivatives derivs8.11.03.tex or derivs8.11.03.ps or derivs8.11.03.pdf .

(14) Exponential functions exp8.13.03.tex or exp8.13.03.ps or exp8.13.03.pdf .

(15) The genesis lecture genesis12.08.02.tex or genesis12.08.02.ps or genesis12.08.02.pdf .

(16) Inverse functions invfcns8.24.03.tex or invfcns8.24.03.ps or invfcns8.24.03.pdf .

(17) Taylor's theorem taylor8.25.03.tex or taylor8.25.03.ps or taylor8.25.03.pdf .

(18) Trig identities trigid8.13.03.tex or trigid8.13.03.ps or trigid8.13.03.pdf .

(19) Derivatives of trig functions trigderivs8.24.03.tex or trigderivs8.24.03.ps or trigderivs8.24.03.pdf .