Past presentations

Week 4 presentation

Possible topics:

1. pg 75, the end of Sec 2.3 Directed Graph: Application of matrix multiplication to directed graph
2. pg 134-135, Sec 2.9 An Application to Markov Chains (use Example 2.91 about restaurant-eating: Application of matrix-vector multiplication or another example in Sec 2.9)
3. pg. 27-29, Sec 1.4 An Application to Network Flow: Application of solving a linear system
4. pg. 29-31, Sec 1.5 An Application to Electrical Networks: Application of solving a linear system
5. Another topic not listed above but related to lectures 1-4. Talk to me first before preparing the presentation.

Link to chapter 1 of the textbook

Link to chapter 2 of the textbook

You are welcome to do more research to find resources outside the textbook

Timeline (Sep 14-18)

• Mon Live Session
  • Decide on a topic and read the materials
  • Assign all student roles
  • Start preparing, but do not record yet
• Wed Live Session
  • Continue preparing the presentation materials
  • Week4 in-progress due Wed after class (Gradescope) topic, student roles, and link to unfinished visual aids (this will be not be graded yet - it’s OK if the slides just consist of the title page and rough outline at the point).
  • If you are ready, you can record on Wednesday. Otherwise, wait until Friday to record.
• Fri Live Session
  • Give the presentation to another group (you can choose to record your presentation). Turn your camera on.
  • attentively watch the other group give their presentation. Turn your camera on.
  • During or after a group’s presentation, every student (not in the group) should ask questions/give comments/compliments.
  • Record these on the chat. Each group’s “Gradescope submitter” should download the chat so that they can later (Sun/Mon) submit these to Gradescope.
  • Make improvement to your visual aids based on comments and questions from your audience
• Submit on Gradescope by Sun (week4 presentation slides and video): Final version of slides and recording (accepted until Mon, Sept 20 at noon)

Student Roles

Please decide on the roles before you start creating the presentation materials (you will specify the names of each role as part of the Gradescope submission)

• Learning the materials: all students

• Presenters: all students

• Slides “managers”: two students should manage the group members in the slides editing process and be responsible in making final edits to the slides
  • Optional: you may want to decide at the beginning that Student 1 should be in charge of Example A, Student 2 of Example B, Student 3 of all definitions, Student 4 of facts and theorems etc.

• Main video recorder: One student (with multiple backups) should be in charge of recording

• Main Video editor: One student should be in charge of making sure the video is in good shape (everyone is audible and video is visible, etc) and doing video editing as needed

• YouTube uploader: One student who has a Google account should be responsible in creating a YouTube link for the presentation recording

• Gradescope Submitter: One student (with a backup) will
  • make sure all submissions are copied and pasted correctly to Gradescope
  • save chat (on Friday) containing questions from both groups; post the content on the chat on Gradescope

• Calculator: Go through the slides to check all of the calculation, by hand and also using a computing software like Desmos or WolframAlpha

• Facilitator: acts as a project manager; keeps the group on task and distributes the work

Slides requirements

• You can still edit/ improve your slides after you finish recording
• You can use online slides such as Google Slides, Google Jamboard, Google Doc.
• The presentation should be appropriate for the students in a Math 3333 course. Assume that they have not seen your topic before but are familiar with lecture 1-4.

Organization:

• A title page which consists of the title of your presentation and the names of the student presenters (including your group name)
• Outline (optional but may be helpful to stay organized)
• Content:
  • Definition
  • An example either from our textbook, another source, or an example you come up with
  • An example that is from another source or an example you come up with (not from our textbook)
  • Facts and theorems from our textbook or another source
• Closing page (this may be a page which says “Thank You” with a picture related to your topic)
• The last page should be a list of references. The list should include our textbook. If you use examples, facts, or pictures from other sources, include those sources in the list. If you use software like Desmos, WolframAlpha, or Matlab, please include this in your list of references as well. (A presentation is less formal than a paper, so any format is OK.)

Note:

• You can take screenshots or figures from our textbook or other sources.
• Hand-drawn figures for new examples are OK

Things to look out for:

• Your font shouldn’t be too small
• Do not put long paragraphs on a slide
• Try not to take screenshots of paragraphs from your source. You should paraphrase them instead.

Recording requirements

• Between 5 and 10 minutes (it’s OK to go a little bit over if you have more than 4 people in your group)
• The presentation should be appropriate for the students in a Math 3333 course. Assume that they have not seen your topic before but are familiar with lecture 1-4.
• Pin the speaker so that a thumbnail video of the speaker is visible
• Introduce yourself (“Hello, I am …”) before you start speaking
• (Optional) introduce your pets

Grading Scheme

Each item is worth 10%.

1. By Wed: Submitted link to work in progress, student roles and a pre-approved topic (due on Gradescope)
2. Fri live session: Deliver a live presentation (even if you have already recorded a presentation). Turn your camera on while presenting.
3. Fri live session: Listen attentively while another group is presenting (show your faces to the presenters). Chat questions (from both groups) should be saved and later submitted to Gradescope by the “Gradescope submitter” for each group.
4. Math: Explanation is at appropriate level for your audience (Math 3333 classmates who have never seen your topic but have seen class lectures 1-4). Correct mathematics in presentation and slides.
5. Math: Terminology, facts, and examples are explained clearly.
6. Math: Effort has been made to do some research and independent thinking, e.g. finding references outside of the textbook, coming up with your own examples.
7. Recording shows understanding of materials (not simply reading from a source).
8. Sufficient preparation and practice are evident in the recording. Video length meets the 5-10 minute length requirement (a longer video is OK for larger groups)
9. Visual aids (for example, slides or Jamboard) follow the requirements. They are legible and easy to see in the recording.
10. Speakers introduced themselves. It is easy to identify which speaker is speaking at a given time (use a thumbnail video or whole-screen video of presenters during recording). Voice is of appropriate volume and is clear.

Week 6 presentations

Possible topics:

1. Paths on a directed graph (Warm-up for Google PageRank)

• Directed Graph Read the textbook pg 75, the end of Sec 2.3
• Possible examples:
  • Explain Exercise 2.3.26 on textbook pg 78. Check your answer with the solution manual, but give a more verbose explanation than what is given in the solution manual.
  • We assume that a website does not link to itself, which means there shouldn’t a loop in the directed graph. Use the same directed graph as in Exercise 2.3.26, but remove the loop from v1 to v1. Answer the same questions but for this loopless directed graph.
  • Make up a new directed graph (or find an already-drawn graph) and compute the number of paths of a certain length using matrix multiplication

2. Input-output economic models

• (Note that this is an application of eigenvectors in addition to matrix algebra.)
• Closed economy model Read the textbook pg 128-131 only
  • You don’t need to define every single definition used in the textbook. Skip definitions that you can do without!
• Possible examples:
  • Example 2.8.1 (don’t simply take a screenshot of the example!)
  • Example 2.8.2: Give names to the four industries. Explain the computation which is skipped by the texbook (you can use a software to row reduce and take a screenshot)
• Some of these textbook exercises (check the solution manual):
  • Section 2.8 Exercise 1(b,d); Exercise 2; Exercise 4
• Optional: Open sector model See the textbook pg 131-132

3. Polynomial interpolation (fitting data into a nice function)

• Polynomial interpolation Read the textbook pg 165-166 only
• Example 3.2.10 on textbook pg 165 (forestry)
• Some of these textbook exercises (check the solution manual):
  • Section 3.2 Exercise 22; Exercise 23; Exercise 24
  • Research other uses of polynomial interpolation

4. 2D computer graphics

• You don’t need the theory not covered in lectures yet. Just use the facts that certain matrices and represent certain reflections/ rotations/ compression/ expansion/ shear mappings, and a product of certain matrices can have a desired effect on a 2D image.
• An application to Computer Graphics Read Sec 4.5 pg 258-261
• You don’t need to define new vocabulary.
• Special 2x2 matrices:
  • Reflection with respect to the x-axis: Example 2.2.13 pg 58
  • 90 degree counterclockwise rotation about the origin: Example 2.2.15 pg 60
  • Other reflections and rotations: Sec 2.2 Exercise 11 pg 63 (see solution manual or Google)
  • Vertical/horizontal expansions and compressions: Example 2.2.16 pg 61
  • x-shear mapping: Example 2.2.17 pg 61

5. Another topic not listed above but are relevant to lectures 1-7

Talk to me first before preparing the presentation.

Sources

• Links: chapter 1 of the textbook, chapter 2 of the textbook, Link to chapter 3 of the textbook, Link to chapter 4 of the textbook

• You are welcome to do more research to find resources outside the textbook

Timeline (Sep 28-Oct 2)

• Mon Live Session
  • Study the materials
  • Assign tentative student roles
  • Start preparing, but do not record yet
• Wed Live Session
  • Continue preparing the presentation materials
  • Week6 in-progress due Wed after class (Gradescope) topic, student roles, and link to unfinished visual aids (this will be not be graded yet - it’s OK if the slides just consist of the title page).
  • If you are ready, you can record on Wednesday.
• Fri Live Session
  • Give the presentation to another group (you can choose to record your presentation). Turn your camera on.
  • attentively watch the other group give their presentation. Turn your camera on.
  • During or after a group’s presentation, every student (not in the group) should ask questions. If you are giving comments, be specific.
  • Record questions on the chat. Each group’s “Gradescope submitter” should download the chat so that they can later (Sun/Mon) submit these to Gradescope.
  • Make improvement to your visual aids based on comments and questions from your audience
  • NEW: If you are OK with how your Q & A session goes, please make it part of your video. You are not graded on the correctness of your answers, and it’s also OK to say “I am not sure”. (In the last presentation, I learned something and also enjoyed listening to the Q & A sessions that a few groups decided to record.)
• Submit on Gradescope (week6 presentation slides and video): Final version of slides and recording (accepted until Mon, Oct 4 at noon)

Student Roles

Please decide on the roles before you start creating the presentation materials (you will specify the names of each role as part of the Gradescope submission)

• Learning the materials: all students
• Presenters: all students
• Facilitator: acts as a project manager; keeps the group on task and distributes the work
• Decide on roles that make sense to your group

Slides requirements

• You can edit/ improve your slides after you finish recording
• You can use online slides such as Google Slides, Google Jamboard, Google Doc.
• The presentation should be appropriate for the students in a Math 3333 course. Assume that they have not seen your topic before but are familiar with lecture 1-7.

Organization:

• A title page which consists of the title of your presentation and the names of the student presenters (including your group name)
• Outline (optional but may be helpful to stay organized)
• Content:
  • Definition (if your topic requires new definition)
  • An example either from our textbook, another source, or an example you come up with
  • An example which solution has not been completely worked out yet
  • Optional: If the first two examples are short and you have five presenters, do a third example
  • Facts and theorems from our textbook or another source (if appropriate)
• Closing page (this may be a page which says “Thank You” with a picture related to your topic)
• The last page should be a list of references. The list should include our textbook. If you use examples, facts, or pictures from other sources, include those sources in the list. If you use software like Desmos, WolframAlpha, or Matlab, please include this in your list of references as well. (A presentation is less formal than a paper, so any format is OK.)

Note:

• You can take figures from our textbook or other sources. But don’t simply copy from our textbook or other sources
• Hand-drawn figures for new examples are OK

Things to look out for:

• Your font shouldn’t be too small
• Do not put long paragraphs on a slide
• Try not to take screenshots of paragraphs from your source. You should paraphrase them instead.

Recording requirements

• Between 5 and 10 minutes (it’s OK to go a little bit over if you have more than 4 people in your group)
• The presentation should be appropriate for the students in a Math 3333 course. Assume that they have not seen your topic before but are familiar with lecture 1-4.
• Pin the speaker so that a thumbnail video of the speaker is visible
• Introduce yourself (“Hello, I am …”) before you start speaking
• (Optional) introduce your pets

Grading Scheme

Each item is worth 10%.

1. By Wed: Submitted link to work in progress, student roles and a pre-approved topic (due on Gradescope)
2. Fri live session: Deliver a live presentation (even if you have already recorded a presentation). Turn your camera on while presenting.
3. Fri live session: Listen attentively while another group is presenting (show your faces to the presenters). Chat questions (from both groups) should be saved and later submitted to Gradescope by the “Gradescope submitter” for each group.
4. Math: Explanation is at appropriate level for your audience (Math 3333 classmates who have never seen your topic but have seen class lectures 1-7). Correct mathematics in presentation and slides.
5. Math: Terminology, facts, and examples are explained clearly.
6. Math: Effort has been made to do some research and independent thinking, e.g. finding references outside of the textbook, coming up with your own examples.
7. Recording shows understanding of materials (not simply reading from a source).
8. Sufficient preparation and practice are evident in the recording. Video length meets the 5-10 minute length requirement (a longer video is OK for larger groups)
9. Visual aids (for example, slides or Jamboard) follow the requirements. They are legible and easy to see in the recording.
10. Speakers introduced themselves. It is easy to identify which speaker is speaking at a given time (use a thumbnail video or whole-screen video of presenters during recording). Voice is of appropriate volume and is clear.