As you already know, part of your grading scheme is Project. I am going to give you some details about the project now.
While I believe that the most important lesson in a linear algebra course is "we have a set with some extra structure, we study that structure (maps, subsets etc respecting the structure)", I also believe that linear algebra is actually a useful tool. We teach our classes in a certain way but naturally when you see linear algebra in the wild it looks different. Nobody approaches you and asks "hey, wanna compute the kernel of this rank one map?" The purpose of this project is for you to explore what linear algebra looks like in applications.
in this course, there is a lot of group work as you have noticed. graded group chats, blogs and this project. however, the affect of your group members on your own grade is really minimal as you will witness from the blogs for example. if you complete your part, you are not going to be penalised if someone else doesn't. working with other people is cool, it makes things easier and sometimes you need to learn how to do that. this is the purpose of group works in this course. so that you can learn better. I am not trying to torture you.
It is also possible that one person does it individually and the rest of the group does it together. It is also possible that you divide your group into four subgroups. Anything works.
Now, there are some details. You will see in the Weekly Planner that there are some Project checkpoints. They are at the end of every month.
Checkpoint 1: Write about yourself. Introduce yourself, your interests and tell us what topics you can possibly make a project about and why. This is due January 31.
Checkpoint 2: At this point, you have decided on a topic and did some research. Give us a list of peer-reviewed articles and tell us in one paragraph what each article is about. This is due February 28.
Checkpoint 3: At this point, you know what you and your group members would like to work on. You can either break into subgroups or work collectively towards one topic. Write a one page summary of the paper that you will focus on. This is due March 31.
Final project submission: At this point, you have already worked on what you would like to write your project about. While in the first three checkpoints you are asked to write things individually, your final work is going to be a paper written collectively as one piece. So, you should find a way to combine and build on your work on Checkpoint 3 to create a paper. This is due May 1.
When the deadlines get closer, I'll write more detailed information.