Grantwebsite

Saint Louis University

Department of Mathematics and

Computer Science

Internet Dissemination of Materials related to

National Science Foundation

Instrumentation and Laboratory Improvement Program

Grant DUE 9851405

Principal Investigator: T. Christine Stevens
Co-Principal Investigators: Russell D. Blyth and Michael K. May

Materials for Graduate Algebra

The materials provided here in pdf form were developed by T. Christine Stevens for using GAP in the graduate algebra sequence, which covers groups, rings and fields. The documents are listed in chronological order of use during the semester.

Overview: Group Theory: course description, context, and summary of the use of GAP in the first semester.
Centralizers, Normalizers, and Centers: handout for use in computer classroom.
Homework on centralizers and normalizers.
Homework on group actions.
Commutator subgroups: transparency illustrating commutator subgroups.
Sylow's Theorem: transparency for the proof of Sylow's Theorem.
Conjugacy classes and Sylow subgroups: handout for use in computer classroom.
Homework on conjugacy classes and Sylow subgroups.
Homework that introduces a proof that A₅ is simple.
Projects about Groups: individual or team projects.
Homework on group actions.
Handout on automorphism groups.
A GAP question from the final exam.
Evaluation of GAP in Group Theory: questions about GAP on the student evaluation form for the first semester.
Overview: Ring Theory: course description, context, and summary of the use of GAP in the second semester.
Euclidean domains: handout for use in computer classroom.

This material is based upon work supported by the National Science Foundation under Grant No. 9851405. Any opinions, findings and conclusions or recommendations expressed in
this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation (NSF).