MITFree Video

Free MIT Course: Single-Variable Calculus: Differentiation and Integration

Learn single-variable calculus through a systematic MIT lecture sequence. The course develops differentiation and integration as tools for reasoning about functions, change and accumulated quantities.

Video numbers show the position in this classroom. Lecture and recitation numbers retain MIT’s original numbering.

Video 1 of 35 51:33

Lecture 1: Rate of Change

Before you start

Suggested preparation: Algebra, trigonometry and familiarity with functions.

About this course

Learn single-variable calculus through a systematic MIT lecture sequence. The course develops differentiation and integration as tools for reasoning about functions, change and accumulated quantities.

Course at a glance

Provider MIT
Platform YouTube · MIT OpenCourseWare
Access Free Video
Level Beginner — WikiFree study-level assessment
Language English
Available lessons 35
Video duration 28h 31m · self-paced
Details checked 10 October 2026

Preparation and study approach

Suggested preparation: Algebra, trigonometry and familiarity with functions.

Follow the available videos in sequence, pausing to summarize the main argument or reconstruct a worked example. Keep a short list of assumptions, unfamiliar terms and questions to revisit. Additional reading, problem solving and practice will take time beyond the listed video duration.

Using this video classroom

Select a lesson from the list, or search for a topic. Previous and Next move through the sequence. You can mark lessons complete; progress is stored in this browser without a WikiFree account.

Free access and course scope

The public MIT OpenCourseWare videos in this classroom are free to watch. This listing provides the available playlist recordings, which may include selected lectures, recitations, demonstrations or supporting discussions rather than every component of the original campus course. Textbooks, equipment, software licenses, supervised labs, graded assignments and instructor feedback are not supplied by WikiFree. No purchase is required to watch the videos or use the note-based study approach above.

WikiFree independently organizes these resources for self-paced study. Watching does not award an MIT certificate, academic credit or admission to MIT.

Video provider and credit: MIT OpenCourseWare on YouTube. WikiFree titles, descriptions and cover artwork are independently prepared.

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Compare the published course outlines. A lower level is a preparation option, not a required prerequisite.
CourseLevelFocusStudy time
This course — Free MIT Course: Single-Variable Calculus: Differentiation and IntegrationBeginnerMIT Course: Single-Variable Calculus: Differentiation and Integration28h 31m of video; practice time is additional
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Advanced Derivatives: AP Calculus BC: Free CourseIntermediateImplicit differentiation · Inverse functions · Parametric derivatives3h 56m of video; practice time is additional
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Provider: MIT. Videos play from the MIT OpenCourseWare channel on YouTube.

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