MAT 534 — Fall 2022 Problem Sets  MAT 534 — Fall 2022 Schedule  MAT 534 — Fall 2022 Exams 
MAT 534 Course Webpage

Course Announcements Announcements about the course will be posted here. Please check the site regularly for announcements (which will also be given in lecture). In addition to the class webpage, we will use Brightspace for course management.
Course Description The description in the graduate bulletin: Groups: normal subgroups, quotient groups, Lagrange's theorem, class formula, finite pgroups and solvable groups, Sylow's theorems, finitely generated abelian groups. Rings and modules: subrings, fields, prime and maximal ideals, quotient rings, ID's, PID's, UFD's, polynomial rings, field of fractions, the Wedderburn theorem, Hilbert basis theorem, finitely generated modules over a PID. Vector spaces: basis, linear maps and matrices, dual spaces, determinants, eigen values and vectors, inner products, spectral theorem for normal operators.
Prerequisites For graduate mathematics students there is no prerequisite. All other students should consult with the instructor regarding background.
Lectures
The instructor for this course is
Jason Starr.
All instruction will occur in lectures. There are assigned
readings in the course schedule
which are to be completed before lecture. During lecture the
instructor and the students will discuss the material in those
readings, there will be exercises to practice the material, etc. For
the lectures to be effective, you must complete the assigned reading
from the syllabus before lecture.
Lecture is held Tuesdays and Thursdays, 1:15 — 2:35 PM in Physics P130.
Here is a link to the current office hours.
Grading System The grader for this course is Mads Villadsen. The relative significance of exams and problem sets in determining final grades is as follows.
20%  
20%  
35%  
25% 
Letter grades are based on total class percentage, following the
weights above. Students who earn percentages in the following ranges
will earn (at least) the listed letter grade.
A 95100; A 9094; B+ 8689; B 8385; C+ 7578; C 7174; C 6770; D+ 6266; D 5861; F 057
Handbacks
Graded problem sets and exams will be handed back in lecture. If
you cannot attend the lecture in which a problem set or exam is
handed back, it is your responsibility to contact your instructor and
arrange a time to pick up the work (typically in office hours).
You are responsible for collecting any graded work by the end of the
semester. After the end of the semester, the instructor
is no longer responsible for returning your graded work.