# Single-variable calculus foundation check

> ML preparation item.

- Stable ID: `mit-18-01sc-f2010-final-foundations`
- Area: Mathematics
- Topic: Calculus
- Origin: external
- Expected time: 24 minutes
- Skills: limits-continuity, single-variable-calculus, taylor-approximation
- Item JSON: https://mlprep.iwase.dev/data/items/mit-18-01sc-f2010-final-foundations.json

This site does not reproduce the third-party problem.

- Source: MIT 18.01SC Single Variable Calculus
- Document: Final Exam
- Locator: Questions 1(a), 3(b), 8(b), and 14(a,c), problem PDF pp. 1, 3, 8, 14–15
- Official answer PDF page(s): 1, 2, 6, 11–12
- Original problem: https://ocw.mit.edu/courses/18-01sc-single-variable-calculus-fall-2010/resources/mit18_01scf10_final/
- Official answer: https://ocw.mit.edu/courses/18-01sc-single-variable-calculus-fall-2010/resources/mit18_01scf10_finalsol/
- Answer status: official-solution


## Tutoring contract

Ask for the learner's attempt, begin with the smallest useful hint, preserve item ID `mit-18-01sc-f2010-final-foundations`, and record a real attempt with `recorded_by: "agent"` and `agent_session_id` when available using https://mlprep.iwase.dev/schema/attempt-record.json.