Algebra II

**Instructor:** Carolina Benedetti

**Office hour:** Wednesdays 11:30-12:30 or by appointment, at TEL 2025

**Email:**carobene (at) mathstat (dot) yorku (dot) ca

**Syllabus:**
Download it here.

Midterm 1 and solutions.

Midterm 2 and some solutions)

FINAL: Our final exam is scheduled for April 10, 7-10pm at ACE 006.

Homework 1 (due on jan. 16). Extra practice.

Homework 2 (due on jan. 25).

Homework 3 (due on Feb. 1). Extra practice.

Assigned reading for Wed Feb 8: Section 18.1 (Fields of fractions). Extra practice.

Homework 4 (due on Feb 15).

Homework 5 (due on Feb 27). Extra practice here

Homework 6 (due on March 10). Extra practice here

Extra practice 7 here

Assigned reading for March 20: Section 22.1 on finite fields.

Homework 7 (due on April 3). Extra practice here.

Some help exercises for the final exam here.

Jan 12: I highly encourage you to apply to the Undergrad Research Fair. Deadline is Jan 25. In particular, those of you who have written a research project for Algebra 1. Feel free to ask me questions!

Jan 17: Upcoming study groups: Friday jan 20th 12:30 to 2:30 scott library room c, Friday jan 20th 12:30 to 2:30 scott library room b.

Jan 19: Math & Stats grad info session- Jan 25 from 3:30-5:30. Rosss N501. They will answer questions about the masters and Ph.D. programs.

Jan 27: A note of a theorem in class that caused confusion. Details added.

Feb 1: The Fields Institute will have its Undergrad Summer Research Program this June. Apply here!

Feb 2: Upcoming study groups: Steacie Library in room 102A Syed study room from 12:30 to 2:30 on Feb 3. Steacie library room 102A from 12:30 to 2:30 on Feb 10.

Feb 3: For midterm 1 you are allowed a single-page containing definitions and/or results (no solutions to exercises or examples allowed). The page must be letter-size and you must turn it in along with your midterm.

Feb 11: Happy Women in Science Day!!! Keep up the hard work!

Feb 18: Homework 5 is due on Feb 27. If you turn it in on March 1st, it will be graded over 45 instead of 50.

Mar 9: Next study group will be Fri, March 17th will be held in Steacie library in room 102A Syed study room.

Mar 11: For midterm 2 you are allowed a single-page containing definitions and/or results (no solutions to exercises or examples allowed). The page must be letter-size and you must turn it in along with your midterm.

Mar 14: Class notes will be due on April 3rd in class. Also, Happy Pi day!!!

Mar 16: Upcoming study group Friday March 24th at 12:30 to 2:30 at Steacie Library room 102B.

Mar 28: On Friday March 31st you will be able to fill in your course evaluation during the last 10min of your class. In that case bring a device to do so! Also, the last :( study group will take place on Steacie library room 102E from 1to 3 p.m.

Apr 7: For your final exam you are allowed a single-sided letter size page containing definitions, theorems, propositions only. Proofs of results, examples, and alike are not allowed. And remember: the more practice you have the better prepared you will be. Use at least old exercises, homeworks, midterms and extra exercises for practice. MAke sure you bring your student ID as well.

Jan 7: Ever wondered what a polytope is? I am organizing this semester a learning seminar on polytopes starting Jan.16. Send me an email if you are interested! (Only prerequisite is linear algebra and commitment).

This beautiful article will show you a broader perspective of mathematics as a whole.

Jan 8: The Institute for Advance Studies has this nice workshop for women in math next spring. The only prerequisites are group theory and t opology. I encourage the women in this class to apply!

You can download LaTeX here depending on your operating system. For Windows, download the proTeXt version. The template used in Homework 1 is here.

There are several online resources on how to write mathematical proofs. Here you find a short manuscript with some proving techniques. Here you can find a more extensive approach.