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MIT 18.01 Single Variable Calculus

By MIT OpenCourseWare

Course audio
Course audio: English
Level
Intermediate
Length
15 lessons

What you'll be able to do

  • Differentiate functions using all the standard rules
  • Solve optimisation and related-rates problems
  • Evaluate integrals and apply the fundamental theorem

About this course

MIT's first-year calculus course with Professor David Jerison, recorded in 2007. The lectures move from derivatives, limits and continuity through differentiation rules, implicit differentiation and inverse functions, linear and quadratic approximation, curve sketching, optimisation and related rates, to integration, the fundamental theorem and techniques of integration. It suits strong FSc students and university freshers who want a rigorous lecture-hall course. Follow it with MIT 18.02 Multivariable Calculus.

Before you start: FSc algebra and trigonometry

Syllabus

Sabaq lists the first 15 videos of this playlist; the rest continue on YouTube. Full playlist on YouTube

  1. 1Lec 1 | MIT 18.01 Single Variable Calculus, Fall 2007
  2. 2Lec 2 | MIT 18.01 Single Variable Calculus, Fall 2007
  3. 3Lec 3 | MIT 18.01 Single Variable Calculus, Fall 2007
  4. 4Lec 4 | MIT 18.01 Single Variable Calculus, Fall 2007
  5. 5Lec 5 | MIT 18.01 Single Variable Calculus, Fall 2007
  6. 6Lec 6 | MIT 18.01 Single Variable Calculus, Fall 2007
  7. 7Lec 7: Exam 1 review | MIT 18.01 Single Variable Calculus, Fall 2007
  8. 8Lec 9 | MIT 18.01 Single Variable Calculus, Fall 2007
  9. 9Lec 10 | MIT 18.01 Single Variable Calculus, Fall 2007
  10. 10Lec 11 | MIT 18.01 Single Variable Calculus, Fall 2007
  11. 11Lec 12 | MIT 18.01 Single Variable Calculus, Fall 2007
  12. 12Lec 13 | MIT 18.01 Single Variable Calculus, Fall 2007
  13. 13Lec 14 | MIT 18.01 Single Variable Calculus, Fall 2007
  14. 14Lec 15 | MIT 18.01 Single Variable Calculus, Fall 2007
  15. 15Lec 16 | MIT 18.01 Single Variable Calculus, Fall 2007

What to take next

Related courses

Videos by MIT OpenCourseWare, played from their official YouTube channel. Subscribe on YouTube

Licence: CC BY-NC-SA 4.0, MIT OpenCourseWare, ocw.mit.edu. Free for everyone, never sold.

Sabaq lists the first 15 videos of this playlist; the rest continue on YouTube. Full playlist on YouTube

Lessons last checked Oct 2026. Course summary and lesson structure by Sabaq.

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