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Welcome to Math 3333: Linear Algebra I, this Fall 2020! Today is .

Individual portion of the final project

• This should be individual work and you should not copy other people’s work, even in part! You are free to talk with group members but don’t share written solutions or recordings.

• Choose any topic (from below), even if you have presented that topic before. Work on the list of questions given for that topic. The guide and examples given for each topic should be helpful.
  • If your group has three people, you must do distinct individual topics
  • If your group has four or five people, you can have the same individual topic as another group member but no more than that
• Individual recording: Create a recording of you solving the problems by hand and explaining your steps verbally. You probably won’t be able to fit everything in a short video, so explain only some of your solutions.
  • How to record
    • If you are writing on paper, point your phone camera to the paper and do a video recording
    • If you are writing on a tablet, your can connect to Zoom (start your own Zoom meeting) on both your laptop and desktop/laptop. For best audio, use the audio on the laptop/desktop and disconnect audio on the tablet. You can also do a screen capture on most tablets.
  • The recording should be between 3 and 5 minutes. If you make a mistake, you should start over.
  • Recording file can be either shared via an unlisted link (YouTube, Dropbox, icloud, Google Drive, etc) or by uploading the file directly on Gradescope
• Written answers: Submit all problems in writing on Gradescope (rubric: by correctness + partial credit, similar to worksheet problems)
  • To ensure that all your answers get read, you should not cram everything into one page. Leave a lot of space after each answer.
• Due: Wed, Dec 16 (final exam day) at 5pm

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Academic integrity

• You can receive help from the instructor, TA, and group members, but you must write the solutions on your own. The solutions you explain during your recording must be on your own. Your recording must be your own work.
• Receiving help on these specific questions from other sources (tutors, internet forum, etc) is an academic misconduct. Copying solutions from the internet (or offline sources) is also an academic misconduct. See OU Academic Integrity Office.

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Choose from the following options:

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I. Dynamical system (math skills: diagonalization; using row reduce to compute the inverse of a matrix; matrix multiplication)

• Answer Student PROBLEM 1 and PROBLEM 2 (end of slides)
• Note: The questions use the same techniques as the Linear recurrence questions

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II. Linear recurrence (math skills required: diagonalization; using row reduce to compute the inverse of a matrix; matrix multiplication; convert a formula to a matrix multiplication)

• Answer Student PROBLEM 1 and PROBLEM 2 (end of slides)
• Note: The questions use the same techniques as the Dynamical system questions

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III. Application of diagonalization to linear differential equations (math skills required: eigenvalues, eigenvectors, eigenbasis, knowing that a number to the 0 is equal to 1)

• Answer Student PROBLEM 1 and PROBLEM 2 (last page)

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IV. Economic mobility using Markov chain (math skills required: solving homogeneous systems of linear equations, matrix multiplication)

• Answer Student PROBLEM (end of slides)

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V. Chemistry and forestry (math skills required: converting a system of linear equations to matrix multiplication, row reduce to solve linear equations)

• Answer PROBLEM 1 (end of slides) and PROBLEM 2 (end of slides)

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VI. Forestry and car parts (math skills required: matrix multiplication, row reduce to solve linear equations)

• Answer PROBLEM 1 (end of slides) and PROBLEM 3

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Another topic (check with me first)

If you are very passionate about a topic that uses basic linear algebra tools covered in the textbook, you can work with me to come up with a list of questions.

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Grading Scheme of the recording of the individual portion of the final

• Bonus point (5 percent): Stating your individual topic by Friday.

1. Create a recording explaining 1/4 of the given questions (even if the answer is incorrect)
2. Solution is correct or close to correct
3. Understanding of the materials is evident in the recording
4. Sufficient preparation is evident in the recording.
5. Video length meets the 3-5 minute length requirement
6. Hand-writing is legible and easy to see in the recording.
7. Voice is of appropriate volume and is clear.