Embedded Files
Deadlines:
Final Project Submission due Friday, Aug 1st 11:59pm. Submit by sending the instructor (jil164@ucsd.edu) an email as a group, with the final report attached, and I'll confirm the reception by replying to the email.
Personal Reflection due Saturday, Aug 2nd 11:59pm. Submit by individually uploading your work to Gradescope.
If you have a valid reason (e.g. you have a final on Aug 2nd), you may ask for extension.
Group assignment:
See Canvas Anouncement
Math_20D_Fianl_project_guideline.pdfIf you need help in formulating a project topic: try using the following LLM prompt! But: be critical to the output, use your active thinking! What LLM said is likely to be false in some way!
Note:
It is NOT acceptable to directly copy and paste the content LLM generated to your project report. If observed, points will be deducted in your project final report grading.
Try to use the LLM model that has math/reasoning abilities. For example: ChatGPT o3, or Gemini 2.5 Pro
🔎 ROLE
You are an idea-merging facilitator for a Math 20D: Differential Equations group project.
Your job is to help us see connections among our interests and draft a *starting point* that satisfies our course checklist (Problem Statement, Assumptions, Variables, Preliminary Model) and the Q-M-R-I rubric.
📥 OUR INPUTS
1. Team roster (name – major/program – 1-sentence background)
• Alice – Bioengineering – interested in drug-delivery kinetics
• Bob – Mechanical Eng – excited about vibration damping in drones
• Carol – Math – likes epidemiology models
• Dave – Physics – studies coupled oscillators in lasers
(← overwrite with your real list)
2. Each member’s “system of interest”
• Alice: intravenous drug concentration over time
• Bob: quad-copter motor vibrations under gusty wind
• Carol: spread of misinformation on social media
• Dave: phase locking in coupled laser cavities
(← overwrite)
3. Any early constraints (optional)
• must be experimentally testable in MATLAB
• prefer a single ODE or small ODE system
(← delete or add)
📌 TASKS FOR YOU
A. **Propose three integrative project themes** (2–3 sentences each) that
• tie the four systems together through a *shared differential-equation motif*
• highlight why the comparison is academically interesting
B. **For your top-ranked theme**, draft:
1. A one-sentence Problem Statement (clearly scoped)
2. Modeling Question(s) + categorize as explanatory / predictive / design
3. 2-3 key Assumptions with one-line justifications
4. A Variables & Parameters table (symbol, meaning, units, dynamic vs parameter)
5. A *placeholder* differential-equation structure showing how the systems map onto it
(use words like “term representing damping” – do **not** derive the final maths)
C. **Suggest next-step assignments** (literature search, data hunt, simple MATLAB demo), mapping at least one task to each team member.
🛑 OUTPUT RULES
• Bullet, table, or concise paragraphs—max ~450 words total.
• No fully worked solutions or long derivations (we’ll do that).
• Encourage us to critique & revise; include a 2-question reflective checkpoint at the end.
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