Suggested preparation: Algebra, functions and elementary trigonometry.
About this course
Build a concise conceptual introduction to calculus through derivatives, integrals and important function families. Short explanations highlight the connections among rates of change, graphs and accumulation.
Topics and lesson examples
- Gil Strang's Introduction to Calculus for Highlights for High School
- The Exponential Function
- Chains f(g(x)) and the Chain Rule
- Growth Rate and Log Graphs
- Six Functions, Six Rules, and Six Theorems
Course at a glance
| Provider | MIT |
|---|---|
| Platform | YouTube · MIT OpenCourseWare |
| Access | Free Video |
| Level | Beginner — WikiFree study-level assessment |
| Language | English |
| Available lessons | 18 |
| Video duration | 9h 50m · self-paced |
| Details checked | 10 October 2026 |
Preparation and study approach
Suggested preparation: Algebra, functions and elementary trigonometry.
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.
Related courses for your next step
- Explore a higher-level optionFree MIT Course: Multivariable Calculus: Vectors, Derivatives and Integrals
Focus: Lec 2: Determinants; cross product · Lec 9: Max-min problems; least squares
Intermediate - Explore a higher-level optionDerivative Rules: Free Course
Focus: Derivative rules · Chain rule
Intermediate - Explore a higher-level optionAdvanced Differentiation: AP Calculus AB: Free Course
Focus: Chain rule · Implicit differentiation
Intermediate
Compare course focus, level and study time
| Course | Level | Focus | Study time |
|---|---|---|---|
| This course — Free MIT Course: Calculus Essentials: Derivatives and Integrals | Beginner | Gil Strang's Introduction to Calculus for Highlights for High School · The Exponential Function · Chains f(g(x)) and the Chain Rule | 9h 50m of video; practice time is additional |
| Free MIT Course: Multivariable Calculus: Vectors, Derivatives and Integrals | Intermediate | Lec 2: Determinants; cross product · Lec 9: Max-min problems; least squares · Lec 22: Green's theorem | 28h 20m of video; practice time is additional |
| Derivative Rules: Free Course | Intermediate | Derivative rules · Chain rule · Trigonometric derivatives | 4h 26m of video; practice time is additional |
| Advanced Differentiation: AP Calculus AB: Free Course | Intermediate | Chain rule · Implicit differentiation · Inverse derivatives | 3h 44m of video; practice time is additional |
Provider: MIT. Videos play from the MIT OpenCourseWare channel on YouTube.
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