Math 101
Topics in Algebra
Last updated June 27, 2016 13:25:41 EDT
Syllabus
We plan to cover basic algebra presuming a basic knowledge of groups
and rings from a standard undergraduate course in abstract algebra
comparable to Math 71 here at Dartmouth. Topics should include
- Review of basic linear algebra.
- Theory of modules including free modules, localization, exactness, rank.
- Application to canonical forms and diagonalizability.
- Dual Modules.
- Sequilinear forms.
- Group actions and consequent group structure theorems.
- Additional topics as time and interests permits.
Dana P. Williams
Last updated June 27, 2016 13:25:41 EDT