Algebra 1 in 2020

Course modality while lectures are suspended

For the time that lectures are suspended at IMPA, we will use the flipped classroom method, which requires that you study the course material with a script that I prepare. We will discuss the material in regular conference calls. In the following more details about how this works.

At the beginning of each week I will make a new part of the lecture and a new exercise list available at this webpage. I will announce the appearance of the new material by email. We will have a conference call every Friday at 10:30--12:00 where you can ask questions about the course material. I will send you the details of how to enter the conference calls briefly in advance. Feedback to the lecture notes (mathematical corrections, typos, et cetera) is very appreciated!

You should create solutions for the exercises until Friday of the upcoming week. A scan or photo of the solutions (well-readable as one pdf file, preferable no jpg) should be sent to Xia (xia.xiao@impa.br). Of course, typed solutions are very welcome! The solutions should be created individually. Xia will correct roughly half of the solutions, and I encourage you to indicate to Xia if you want to see corrections for certain exercises. This is particularly adviced if you have doubts about certain solutions. Usually Xia should be able to respect your wishes, though there might be some situations where this is not possible.

Since we do not have any good prognosis of how the situation will develop and when things come back to normal, it is not clear how to evaluate the course performance at this point. Exams will certainly not happen before we returned to the normal classroom situation.

Here are some tips how to make the best use of this new learning situation.

(1) A good way to digest the material of the script is to prepare you own personal version of the lecture notes, as if you were taking notes of an actual lecture. This allows you to think about the details in proofs with the necessary care and time. As a complementary source of learning you can search for online lectures. There are plenty, and usually you find many related to the topic(s) of the running week if you search for the section title(s) in Youtube.

(2) I encourage discussion groups by email and conference calls in small groups (e.g. via Skype, Jitsi or Whatsapp). Exchange your contacts. This will also help you for creating a social network that replaces the social contacts that you would have in normal times.

(3) The material for the conference call should be your doubts around the lecture notes. To make the best use of our joint time during the conference calls, I suggest that you first discuss your questions with your fellow students. This has the advantage that you will find out which doubts are more relevant---some questions might be shared by others while other questions can be answered by your fellow students. Please send me your questions before the conference call, so that I can already start with some material!

Please let me know if you have further suggestions on how to proceed with the course. If you have not received any email from me yet, please send me your email contact.

General informations (not valid for the time being)

The course takes place from March 10 till June 30, every Tuesday and Thursday at 13:30--15:00 in room 232.

The course will have two exams and weekly exercise lists. The exercise class takes place on Mondays at 10:30--12:00 in room 347 and are supervised by Xia Xiao. Solutions to homework should be given to Xia in the exercises classes.

The grades for the course will be calculated from the grades of the exams, and it can be improved by points achieved for homework.

Exams (not valid for the time being)

The course has an intermediate exam and a final exam. The dates of the exams will be fixed a few weeks in advance.

The exams are open book exams, i.e. you can take your notes and books and use them during the exam. Electronical gadgets (computer, tablet, cell phone, et cetera) are not allowed.

Lecture notes

Lecture notes for Algebra 1 (version from April 6, 2020). Please study sections 1.8 and 1.9 in the week of April 6--April 10.

Exercise lists

List 1

List 2

List 3

List 4

List 5