Welcome to the course webpage for the Summer 2022 (Second Session) manifestation of MATH 117: Advanced Linear Algebra at the University of California, Santa Cruz.

If you are interested in improving your proof writing skills, I suggest that you consult Dana Ernst's Elements of Style for Proof. There are lots of neat tips in there that you might take advantage of!

Weekly Assignments (50% of Final Grade)

• Assignment Description: There will be 5 Weekly Assignments. Weekly Assignments will released at the beginning of each week and will be due the following Sunday at 11:59PM. Weekly assignments will consist of several problems that require you to synthesize ideas we encountered in class. In general, the problems will be proof-based. These assignments will require more time and deeper thought compared to the Daily Assignments. Additionally, you are required to write your solutions using $\LaTeX$. You will submit your write-up via gradescope.
• Purpose: You will synthesize the weeks material and demonstrate your understanding by attempting to write correct and rigorous mathematical proofs. Additionally, you will learn how to type-set mathematics using $\LaTeX$.
• Basis for Evaluation: Each Weekly Assignment is worth a significant portion (approximately 10%) of your final grade. You are required to write your solutions using $\LaTeX$. If your submission is hand-written, you will not recieve credit unless you have obtained prior authorization from me. Each problem will be worth 4 points and your score will be determined by me using the following simple rubric:
  
  

  Score	Critera
  4	This is correct and well-written mathematics!
  3	This is a good piece of work, yet there are some mathematical errors or some writing errors that need addressing.
  2	There is some good intuition here, but there is at least one serious flaw.
  1	I don't understand this, but I see that you have worked on it; come see me!
  0	I believe that you have not worked on this problem enough or you didn't submit any work.

  
  The simplicity of the rubric is mostly for ease of grading. Specifically, I will be looking for evidence of conceptual understanding, correct mathematical reasoning, and excellent written-communication. Since the rubric is not very enlightening, I will generally leave lots of written feedback on your assignment.

Assignments, Templates, & Due Dates

The assignments and due dates will be posted in the table below. Additionally, I will provide the .tex files so that you have a template to start your write-up with. Note: The Overleaf links take you to a "read only" page. You can copy the assignment to your Overleaf projects by clicking "menu" inn the upper-left corner of the screen and then clicking "copy project".