MAT 150C, Spring 2021


Instructor: Eugene Gorsky, egorskiy AT
Office hours: MW 3-4 on zoom.
If you have a question and cannot come at office hours, write me an email to schedule an appointment.

Teaching Assistant: Jianping Pan, jppan AT, Office hours: F 4-5 on zoom.


The textbook for the course is "Algebra" by Michael Artin (2nd edition).

See also lecture notes on Galois theory.

Online instruction

All instruction for this course will be done online until further notice. We will use Zoom as a main tool for lectures. You can either download and install the Zoom app, or joint using web browser.
Resources: Getting Started on Zoom, System Requirements (including list of supported browsers).

All lectures will be done live on Zoom at scheduled class time (MWF 12:10-1:00), Zoom room will open at 12:00.
You should be able to access Zoom directly from Canvas

Lectures will be automatically recorded and uploaded to Canvas, along with the lecture notes.

Please remember that my lectures and course materials are protected by U.S. copyright law and by University policy. I am the exclusive owner of the copyright in those materials I create. You may take notes and make copies of course materials for your own use. You may also share those materials with another student who is enrolled in or auditing this course. You may not reproduce, distribute or display (post/upload) lecture notes or recordings or course materials in any other way - whether or not a fee is charged - without my express prior written consent. You also may not allow others to do so. If you do so, you may be subject to student conduct proceedings under the UC Davis Code of Academic Conduct.

Code of Academic Conduct

The Code of Academic Conduct exists to support high standards of behavior and to ensure fair evaluation of student learning. Students who violate the Code of Academic Conduct are subject to disciplinary sanctions that include censure, probation, suspension, deferred separation or dismissal from the University of California. The code can be found at this link , or here . Cheating will be taken extremely seriously, and will be referred to Student Judicial Affairs.

In particular, it is OK to discuss homework problems with others, but you have to write the solutions in your own words . You cannot copy solutions from other students, books or the Internet.

For the midterms and the final, you are not allowed to discuss problems with anyone else or search the Internet. It follows exactly the same rules as the in class exam. If we observe that your solutions match someone else's or some Internet resource, your exam grade will be annuled.

Important: every student in MAT 150C should read Code of Academic Conduct . You should write the following text on a piece of paper:

"I have read and understood UC Davis Code of Academic Conduct"

Date and sign it with your name and student ID and upload to Gradescope.

Academic Participation Requirements

The campus requires students to verify that they have begun each course for which they are registered via the Academic Participation program. This program also encourages students to acknowledge their responsibilities regarding academic integrity and the Code of Academic Conduct, reinforcing our campus culture of honesty.

MyUCDavis will notify students online and through email on the first day of instruction to complete their Academic Participation verification no later than the quarter add deadline. Failing to verify academic participation by this deadline may result in a reduction of the financial aid award.

Please see more details by this link .

Final exam

The Final Exam will be on Thursday, June 10. It will cover all material of the course.

Practice problems .

Midterm 2

The second midterm will be on Friday, May 14. It will cover representation theory of SU(2) and sections 15.1-15.4, 15.6 of the book: fields, field extensions, algebraic elements and their minimal polynomials.

Practice problems .

Midterm 1

The first midterm will be on Friday, April 23. It will cover sections 10.1-10.5 of the book: representations, invariant subspaces, irreducible representations, Maschke's theorem, characters.

Practice problems , Instructions .

Final grade and exams

There will be two midterms on Friday, April 23 and Friday, May 14.
The Final will be on Thursday, June 10, 6:00 p.m-8:00 p.m.
The final grade is based on your grades for the homework, midterms and the final:

Homework Midterm I Midterm II Final Exam
60% 10% 10% 20%


We will use Gradescope for written homework assignments. You should be able to access Gradescope directly from Canvas. More information on Gradescope for students: link

The homework will be assigned every week on Monday, and it will be due the following Monday before the start of the class. It must be legible, and written in connected sentences that explains what you are doing. Just the answer (whether correct or not) is not enough. ease put your name on every page and staple the pages together. Homework should be handed in on time, late homework will not be graded.

Though it is fine to discuss the HW problems with others, you must always write up the solutions in your own words. Copying will be penalized. Of course, in the exams you must work on your own: no calculators, textbooks etc will be allowed.

Week Sections Written
Mar 29, 31, Apr 2 10.1-10.4 HW 1 , solutions
Apr 5, 7, 9 10.6-10.9 HW 2 , solutions
Apr 12, 14, 16 3.2, 11.5, 15.1 HW 3 , solutions
Apr 19, 21, 23 Review, Midterm on Apr 23
Apr 26, 28, 30 15.2-15.4 HW 4 , solutions
May 3, 5, 7 15.5-15.8 HW 5 , solutions
May 10, 12, 14 Review, midterm on May 14
May 17, 19, 21 15.9, 15.10, 16.1 HW 6 , solutions
May 24, 26, 28 16.2-16.5 HW 7 , solutions
Jun 2 16.6-16.10 No class on May 31 (Memorial Day)

Disability Services

Any student with a documented disability who needs to arrange reasonable accommodations must contact the Student Disability Center (SDC). Faculty are authorized to provide only the accommodations requested by the SDC. If you have any questions, please contact the SDC at (530)752-3184 or