- Part 1: A review of any class work that relates to your topic in Part 2
[3-sides typed (single-spaced), including images]

Include the relevant definitions, mathematical symbols and notation, pictures, theorems, examples, algebraic, geometric, and numerical representations**from class, homework and tests**that relate to your topic. If you have connections to concepts that we saw very regularly, such as a concept like Gaussian elimination, then bullet point lists of the places we used this in class would help summarize what we covered in class. To create this review, use your class notes as well as our online resources. This will require you to dig for as many connections as possible, giving a creative way of reviewing.

- Part 2: An extension of class work
**that you create**related to your topic and linear algebra. This could be covering new material, making connections to your field, looking up history, seeing how linear algebra is programmed... The type and format are your choice - here are some ideas, for example:- the
**beginnings**of a more extensive research project - a summary of what you have learned after researching a topic--- in your own words [it could be paragraph or bullet point format and it could be longer, but 1 or 2 pages should be sufficient in many cases]
- a computer program you work on and report back on how that went---what was already available to you (or not) in the programming language you choose, what you tried, and what you would do with more time
- a summary of linear algebra connections to a different course you have already taken or will take
- a demo you create
- a representation of historical information that you create
- a classroom worksheet that you create as you research and report back on classroom standards related to linear algebra
- an experiment that is connected to linear algebra and report back on how that went

- the
- An annotated reference list (to turn in).
**The annotations are brief comments about how you used each reference in your project.**Most project should have some scholarly sources. Faculty, past classes and experiences can also be listed as references. Be sure to acknowledge the source citations of pictures but there is no need to annotate them.

- Research session presentations and peer review. Bring a printed version of all of your work. We will divide up the class into two sessions (half the class will stand next to their work as the other half examines the projects, and then we will switch roles). If you work with another person, they will be in the other session so you should be prepared to present the entire project. During your session, you must stand by your work to discuss your topic and answer questions. The presentation component typically involves a group of 1 or 2 students at a time listening to and looking at your project so they can take notes for peer review.

Here is a rubric for the final project

Here are some sample projects:

Dark Matter Accretion and the Hessian Matrix by Collin Sweeney [could be improved by removing Appendix A and just making the examples a full part of the
in-class connections]

Finding Determinants Through Programming by Wyatt Andresen [would benefit by including pictures in part 1 and fixing typos]

Many past students have used a word processor (sometimes with Maple output pasted in) or
LaTeX. Here is Wyatt's
LaTeX file that
you can place this
in a real-time editor
like Overleaf).

Note that part 1 should be purely class review. Any new material belongs in part 2.
For instance, say your extension incorporates determinants in some way.
Then the new extension is in part 2, while a review of what we already did
related to determinants belongs in part 1.
Some past students reported that they have found it helpful to think of
part 1 as a review of class notes and hw as if they were studying
for a final exam
[without the exam component - instead the product is finding the
connections].

This project connects in a variety of ways to the four general education goals for all students at ASU:

**Sample Project Ideas** I encourage you to be creative and find a topic
that relates to linear algebra and interests you!

Because we have so many intended computer science majors, I have designated topics that could easily connect to cs via a *.