Time: MWF 2:30 PM - 3:20 PM
Location: MATH 215
Course description:
We will cover linear algebra from the perspective of module theory. We will introduce rings, ideals, and modules. We will describe basic properties of integral domains, fields, principal ideal domains (PIDs), and Euclidean domains. We will explore constructions from multilinear algebra, giving added context to the determinant. We will classify finitely presented modules over PIDs and use this to develop the theory of generalized eigenvalues, rational canonical form, and Jordan normal form. We will also use this theory to classify finitely presented abelian groups. Then we will explore topics related to inner products and the spectral theorem.
Textbooks:
-Abstract Algebra Textbook by David Steven Dummit and Richard M. Foote
-Linear Algebra by Kenneth M Hoffman and Ray Kunze
Office hours: TBA
Office: 710 Math building
Grading:
HW 30%
Midterm 30%
Final 40%
Exams:
The midterm and final exam will be take home. The midterm will be made available on October 24th and is due in class on October 31st. The final exam will be made available on December 5th and is at noon on December 16th (upload to Brightspace or put in my mailbox). No collaboration with humans or robots is allowed on the midterm or final exam.
Scores on assignments will be listed on Brightspace.
Homework:
Homework is due most Fridays in class. It is listed on the schedule and Brightspace.