Math 490 - Collaborative Undergraduate Research Lab (Spring 2017)

  • Lecture times and location: TR 1PM - 2:15PM, Van Vleck B107
  • Textbooks (recommended):
    • Peter Gibley, Graphs, Surfaces, and Homology, third edition
  • Course website: http://math.wisc.edu/~svs/490/
  • Piazza page: link
  • Course info: link
  • Instructor: Steven Sam email
  • Instructor office hours: 321 Van Vleck, Wednesdays 2:30PM-3:30PM, or by appointment
  • TA: Jay Yang (email)

Schedule

Jan 17 Rings and modules
Jan 19Quotient modules
Chain complexes, homology
 
Jan 24Free modules
Homology of a graph
Jan 26Homology of a graph (continued)
 
Jan 31 Homology of a graph (continued)
Simplicial complexes
Feb 2Simplicial homology
 
Feb 7 Homology with field coefficients
Chain maps
Feb 9 Long exact sequence on homology
Null-homotopies
 
Feb 14 Homology of a simplex
Discussion of project topics
Feb 16Discussion of project topics
 
Feb 21Student presentation: Smith normal form
Feb 23Student presentation: Universal coefficient theorem
 
Feb 28 Student presentation: Algebraic Morse theory
Mar 2Review of presentations and reports
 
Mar 7Progress reports
Mar 9Progress reports
 
Mar 14Progress reports
q-analogues
Mar 16Progress reports
 
Mar 21Spring break - no class
Mar 23Spring break - no class
 
Mar 28Progress reports
Mar 30Progress reports
 
Apr 4Progress reports
Apr 6Progress reports
 
Apr 11Progress reports
Apr 13Progress reports
 
Apr 18Progress reports
Apr 20Progress reports
 
Apr 25Progress reports
Apr 27Progress reports
 
May 2no class
May 4no class