Math 629 - Advanced Linear Algebra and Algebraic Graph Theory - Fall 2019


Instructor: Dr. Nathan Reff
Email: nreff at brockport dot edu
Office: Albert W. Brown Building: 114
Office Hours: M 3PM-5PM, W 1:30PM-2:30PM, 4PM-5PM, or by appointment, or just see if I am in!
Course Meetings: 5:05PM-6:20PM in Holmes 207
Syllabus: pdf

Textbooks
  • Finite Dimensional Vector Spaces, by Halmos.
  • Linear Algebra Done Right (3rd Ed.), by Axler.
  • Applied Linear Algebra and Matrix Analysis, by Shores.
  • Spectra of Graphs, by Brouwer and Haemers.
  • Graphs and Matrices (2nd Ed.), by Bapat.
  • Matrix Analysis (2nd Ed.), by Horn and Johnson.
  • Matrix Analysis and Applied Linear Algebra, by Meyer.

    • Class Material
  • Homework

    • Useful Software
  • Sage an awesome free open-source Python-based mathematics software.
  • GAP Groups, Algorithms, Programming - a System for Computational Discrete Algebra. Sage (above) includes GAP.
  • Maple and Mathematica can be downloaded for free via the site license agreement with The College at Brockport: SUNY. (login required)
    		•
  • GeoGebra another neat free mathematics software.
  • WolframAlpha.

    • Prerequisite Resources
  • Linear Algebra, MIT (has video lectures).
  • Many courses including Linear Algebra, UCCS (has video lectures).
  • Abstract Algebra, Harvard (has video lectures).
  • Many courses including Modern Algebra, UCCS (has video lectures).
  • Many courses including(Modern) Algebra, ICTP-SDU (has video lectures).
  • Visual Group Theory (also has software: Group Explorer).