Suggested preparation: School-level algebra and geometry.
Optional preparation: High School Geometry: Free Course.
About this course
Strengthen mathematical problem-solving foundations for entrance-exam preparation. The selected videos cover vectors, the binomial theorem, trigonometry, functions and geometry rather than a complete exam syllabus.
Topics and lesson examples
- Video 1: Introduction to Vectors – Position, Line, Free and Unit Vectors
- Video 3: The Binomial Theorem
- Video 5: Introduction to Trigonometry
- Video 7: Introduction to Functions
- Video 9: 3D Geometry, Angle Bisector & Line of Intersection
Course at a glance
| Provider | MIT |
|---|---|
| Platform | YouTube · MIT OpenCourseWare |
| Access | Free Video |
| Level | Intermediate — WikiFree study-level assessment |
| Language | English |
| Available lessons | 9 |
| Video duration | 2h 23m · self-paced |
| Details checked | 10 October 2026 |
Preparation and study approach
Suggested preparation: School-level algebra and geometry.
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
- Review a lower-level optionHigh School Geometry: Free Course
Focus: Geometric proof · Transformations
Beginner - Compare another approachFree MIT Course: Multivariable Calculus Problem-Solving Practice
Focus: Coordinate free proofs: centroid of a triangle · Level curves
Intermediate - Compare another approachFree MIT Course: Single-Variable Calculus Problem-Solving Practice
Focus: Recitation Introduction for MIT 18.01SC, 18.02SC · Minimum Triangle Area
Intermediate
Compare course focus, level and study time
| Course | Level | Focus | Study time |
|---|---|---|---|
| This course — Free MIT Course: Mathematics Problem Solving for Entrance Exams | Intermediate | Video 1: Introduction to Vectors - Position, Line, Free and Unit Vectors · Video 3: The Binomial Theorem · Video 5: Introduction to Trigonometry | 2h 23m of video; practice time is additional |
| High School Geometry: Free Course | Beginner | Geometric proof · Transformations · Circle theorems | 19h 56m of video; practice time is additional |
| Free MIT Course: Multivariable Calculus Problem-Solving Practice | Intermediate | Coordinate free proofs: centroid of a triangle · Level curves · Integrals with density | 13h 9m of video; practice time is additional |
| Free MIT Course: Single-Variable Calculus Problem-Solving Practice | Intermediate | Recitation Introduction for MIT 18.01SC, 18.02SC · Minimum Triangle Area · Second fundamental theorem and quadratic approximation | 14h 20m of video; practice time is additional |
Provider: MIT. Videos play from the MIT OpenCourseWare channel on YouTube.
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