The first portfolio. As the semester progresses I'll be asking more specific and additional questions regarding what to include. For this one though, the idea is to start to get the hang of the portfolio system and, of course, to demonstrate that you've understand the big ideas in Chapter 1 of Hefferon. I encourage you to try to typeset at least one question in LaTeX and show that you can use Sage to solve a system of linear equations (or something else).
As usual, show me that you've mastered the material. Your portfolio should be self-contained and have appropriate references. Along the way, also:
Some examples of possible harder problems:
Try to lean towards more conceptual questions: the next portfolio will be focused on getting the mechanical technique questions as automated as possible. Similarly, push on using LaTeX as much as possible here because there will be little-to-none in the next one. Also try your hand at expository writing, as opposed to only directly answering questions.
Make sure you can do the following, preferably to the point of automation:
For some (all?) of these, you should reach the point where it feels tedious and arithmetic errors are the most common source of errors. For these, you might want to work out how to ask Sage to do it for you.
LATE ADDITIONS (don't worry if you've already put the time in and don't get to these):
The core of the material here is complex numbers and eigenvalues and diagonalisation. That is, the first two large subsections of Chapter 5 of Hefferon. However, I'd like you to do more in addition to this. This could be to revisit an earlier topic (or Hefferon end-of-chapter topic) that you didn't quite fully get or we skipped past. Or you could press on with Chapter 5 (which is good stuff). Or something else.
You don't need to do anything else; this is here so that it'll show up on your grades page.