Session #6

発表 / Presentation

#	Presenter	Topic	Language	Duration
1	YDF	Derivatives of Products, Quotients, Sine, and Cosine	自由	40min + 10min Q&A

Timeline

Time	Activity
21:00-21:05	Intro / 开场
21:05-21:45	Derivatives of Products, Quotients, Sine, and Cosine (YDF) — 40min
21:45-21:55	Q&A
21:55-22:00	Closing / 结尾

Links

• Google Meet: https://meet.google.com/yjs-axbb-qfi
• Lecture PDF (MIT OCW 18.01 Lecture 3): https://ocw.mit.edu/courses/18-01-single-variable-calculus-fall-2006/23c2c1b1ab31c9f10745b18e7b0bf131_lec3.pdf
• Meeting Notes (by Gemini): https://docs.google.com/document/d/15Wko_ONPnGNVZ0pURsadWcDUR2NbNnm7Kp4rjddfPMA/edit

内容概要 / Summary

YDF — Derivatives of Products, Quotients, Sine, and Cosine (MIT OCW 18.01 Lecture 3)

微積分 / Calculus (00:10–00:50)

• Derivatives of products & quotients — review with worked problems; the topic itself (Lecture 3)
• Trigonometric derivatives & limits — sine/cosine problems, differential elements, and limits review; one cosine calculation spanned ~30 min
• Advanced trig functions — cosecant and tangents discussed
• Limit calculations — advanced limit problems, variable tracking and limit notation
• AP course scheduling — YDF proposed pushing back the AP class and AP science curriculum to match the current study pace

雑談・技術討論 / Casual tech discussion (00:56–02:31)

• UX / digital system discussion, social media, beta sign-in processes
• Hardware: CPU/GPU, SSD storage limits (“SSD can’t handle it”), software downloads
• Software/AI: APIs & prompt skills, agent development (“attention is all you need”), transformer models
• Prompt harness & human-in-the-loop architecture (GG)
• Python trading SOP (Cheese leopard), Codex code reference
• Platform performance, Facebook integration, quadrant metrics

Meeting ran ~2.5h (until 02:31). No formal decisions were finalized in the casual portion.

Feedback

👍 Good

• Built directly on Lecture 2’s trig limits to prove sin/cos derivatives — good continuity
• Real calc class material, well-structured progression (products, quotients, trig)
• Session naturally extended into casual tech discussion (AI agents, hardware) — good community vibe

💡 Improvements

• Gemini notes were delayed (~30 min) and split across two docs (empty 1um2H + real 15Wko) — keep notes on and wait for sync before summarizing
• Casual portion ran long (~1.5h); fine for a hangout, but the official 21:00–22:00 timeline was exceeded
• Writing key formulas on the board ahead of time could make them easier to follow live

📝 Notes

• Session continued the MIT 18.01 Lecture series (Lecture 2 → Lecture 3)
• YDF proposed delaying AP course/science schedule to match current study pace
• GG raised prompt-harness / human-in-the-loop architecture discussion

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