Concept · from MIT 18.01SC Single Variable Calculus

Ring on a String

1 lecture clip
1 problem file
Solutions by MIT (1)

About these materials

MIT's own material for this topic, in MIT's order: Session 32: Ring on a String.

Source: MIT OpenCourseWare 18.01SC Single Variable Calculus, Fall 2010, Prof. David Jerison — original course page on ocw.mit.edu ↗. License: CC BY-NC-SA 4.0. Order: the items appear in the order MIT's own session page lists them. Taken from MIT's published course files, downloaded from ocw.mit.edu on September 22, 2026. How RedLectern is built.

MIT 18.01SC · 2. Applications of Differentiation · Part B: Optimization, Related Rates and Newton's Method · This session on MIT OpenCourseWare ↗

Lecture Video and Notes · Video Excerpts

Clip 1: Ring on a StringLecture clip · 18:44–40:40 · 21:56 long · transcript Watch Notes (PDF) ↗

MIT's problem set

Problem Set 4

MIT places Problem Set 4 at the end of Part B: Optimization, Related Rates and Newton's Method; it covers the whole part, not only this topic. Problem Set 4 on MIT OpenCourseWare ↗

Applications of DifferentiationProblemsPDF on MIT ↗ (opens MIT OpenCourseWare in a new tab)
- 2C Max-min problems: exercises 1, 2, 4, 10, 13
- 2E Related rates: exercises 2, 3, 5, 7
- 2F Locating zeroes; Newton’s method: exercises 1
Solutions to Applications Differentiation problemsSolution by MITPDF on MIT ↗ (opens MIT OpenCourseWare in a new tab)

Where this sits in MIT 18.01SC

Open this session in the full course 18.01SC Single Variable Calculus: all units →

MIT OpenCourseWare, Prof. David Jerison, 18.01SC Single Variable Calculus, Fall 2010.

License: CC BY-NC-SA 4.0 · Edition: Fall 2010 · Open the original course on OCW ↗

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