Books

Concept · from MIT 18.01SC Single Variable Calculus

Numerical Integration

About these materials

MIT's own material for this topic, in MIT's order: Session 63: Numerical Integration.

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's session, in MIT's order

MIT 18.01SC · 3. The Definite Integral and its Applications · Part C: Average Value, Probability and Numerical Integration · This session on MIT OpenCourseWare ↗

Lecture Video and Notes · Video Excerpts

  1. Clip 1: Introduction to Numerical IntegrationLecture clip · 33:24–35:08 · 1:44 long · transcript Watch Notes (PDF) ↗
  2. Clip 2: Riemann SumsLecture clip · 35:08–38:33 · 3:25 long · transcript Watch Notes (PDF) ↗
  3. Clip 3: Trapezoidal RuleLecture clip · 38:33–43:37 · 5:04 long · transcript Watch Notes (PDF) ↗
  4. Clip 4: Simpson's RuleLecture clip · 43:27–50:29 · 7:02 long · transcript Watch Notes (PDF) ↗

Recitation Video · Explanation of Simpson’s Rule

  1. Explanation of Simpson's RuleProblem-solving video · transcript Watch

Recitation Video · Using the Trapezoid and Simpson’s Rules

  1. Using the Trapezoid and Simpson's RulesProblem-solving video · transcript Watch

Worked Example

Mathlet

MIT's problem set

Problem Set 8

MIT places Problem Set 8 at the end of Part C: Average Value, Probability and Numerical Integration; it covers the whole part, not only this topic. Problem Set 8 on MIT OpenCourseWare ↗

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 ↗

Organized by RedLectern, independent of MIT and not endorsed by MIT.

Per-resource rights are recorded on each resource; All-Rights-Reserved items are link-only, never mirrored.