MTH 620: Algebra

Spring 2024


Instructor: Alexandru Chirvasitu

Lectures: Office: 216 Mathematics Building
Office hours: TR 09:00 - 10:50
Email: achirvas AT buffalo.edu

Subject matter

Due to unusual circumstances MTH 619, which typically covers preparatory material for 620, did not run this past Fall (of 2023). This means that we will discuss a mixture of topics:

Textbook

Correspondingly, we will be using two textbooks:


Reading

I'll probably ask you to read some of the sections in the textbook before most lectures, so we're in sync. I'll post the reading assignments here. Unless specified otherwise the sections are those in the textbook.

The date is that of the lecture, so please do the reading before that.

Due date Assignment Remarks
01 Th Feb 08

DF: 7.1, 7.2, 7.3, 7.4, 7.5

DF: Appendix II (category theory)

02 Th Feb 15

DF: 10.2, 10.3, 10.4

03 Th Feb 22

DF: 10.5

04 Th Feb 29

DF: 12.1, 12.2

05 Th Mar 07

DF: 12.3

No classes the whole week of Mar 18

06 Th Mar 28

R: Chapter 1

Notice that we've switched to Rotman.

07 Th Apr 04

R: 4.1, 4.2, 4.3

08 Th Apr 11

R: 6.1, 6.2

09 Th Apr 18

R: 7.1

09 Th Apr 25

R: 7.2

10 Tu May 07

R: 8.1



Supplementary material

On occasion I'll post extra notes, comments, etc. in this space.


Homework

We exchange homework via UBLearns: I post the assignments there through the 'Assignments' facility provided by the system and you'll similarly be able to upload files.

No late homework for any reason, but we are dropping the two lowest scores.

Due date Assignment Remarks
01 Th Feb 08
  • DF 7.2: 4, 5, 6
  • DF 7.3: 26, 28, 29, 35
  • DF 7.4: 11, 33, 34, 37
  • DF 7.5: 4
02 Th Feb 15
  • DF 10.2: 6, 9, 10
  • DF 10.3: 2, 7, 9, 23
  • DF 10.4: 3, 4, 14
03 Th Feb 22
  • DF 10.5: 4, 5, 7, 9, 18, 19, 20
04 Th Feb 29
  • DF 12.1: 9, 10, 11, 21
  • DF 12.2: 3, 4, 5, 18
05 Th Mar 07
  • DF 12.3: 17, 21, 22, 24
exam 1 Th Mar 14
  • DF 10.4: 15
  • DF 10.5: 16
  • DF 12.1: 22
  • DF 12.3: 38
06 Th Mar 28
  • R: 1.10, 1.14, 1.16, 1.19, 1.20
07 Th Apr 11
  • R: 6.3, 6.6, 6.7, 6.8, 6.17, 6.18
08 Th Apr 18
  • R: 7.1, 7.2, 7.3, 7.4
09 Th Apr 25
  • R: 7.8, 7.9, 7.10, 7.11, 7.12, 7.17
exam 2 Tu May 07
  • R: 8.3, 8.4, 8.5, 8.10, 8.11

The grader will assign each homework a grade out of 10 with only a few problems being graded (3 or 4 or so). There will also be points awarded for the overall completeness of the assignment. I won't be telling you in advance which problems are being graded though..

Do collaborate on the homework if you like, but write up your own solutions. I also strongly advise you to have a look at the UB Academic Integrity Policy, as it very much applies to this class.

And by all means drop by at office hours if you need a hand.


Exams

We're having two take-home exams. The dates are as follows


Exam policy:

Those are the due dates. I will post the problem lists a few days before, so you will have plenty of time to work on them.


Grading

We'll drop the two lowest homework scores.


Some links


If you have any questions, don't hesitate to email me.

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