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MIT 18.03 Differential Equations

By MIT OpenCourseWare

Course audio
Course audio: English
Level
Advanced
Length
15 lessons

What you'll be able to do

  • Solve first-order and second-order linear ODEs
  • Model oscillations and resonance
  • Use Fourier series and Laplace transforms

About this course

MIT's ordinary differential equations course with Professor Arthur Mattuck, recorded in 2006. The lectures cover geometric methods and direction fields, numerical methods, first-order linear equations, complex numbers and exponentials, second-order linear equations with constant coefficients, oscillations and resonance, Fourier series, Laplace transforms, and systems of equations with matrix methods. It suits engineering, physics and mathematics students who have finished calculus. It is a natural companion to MIT 18.06 Linear Algebra.

Before you start: Single-variable calculus

Syllabus

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

  1. 1Lec 1 | MIT 18.03 Differential Equations, Spring 2006
  2. 2Lec 2 | MIT 18.03 Differential Equations, Spring 2006
  3. 3Lec 3 | MIT 18.03 Differential Equations, Spring 2006
  4. 4Lec 4 | MIT 18.03 Differential Equations, Spring 2006
  5. 5Lec 5 | MIT 18.03 Differential Equations, Spring 2006
  6. 6Lec 6 | MIT 18.03 Differential Equations, Spring 2006
  7. 7Lec 7 | MIT 18.03 Differential Equations, Spring 2006
  8. 8Lec 8 | MIT 18.03 Differential Equations, Spring 2006
  9. 9Lec 9 | MIT 18.03 Differential Equations, Spring 2006
  10. 10Lec 10 | MIT 18.03 Differential Equations, Spring 2006
  11. 11Lec 11 | MIT 18.03 Differential Equations, Spring 2006
  12. 12Lec 12 | MIT 18.03 Differential Equations, Spring 2006
  13. 13Lec 13 | MIT 18.03 Differential Equations, Spring 2006
  14. 14Lec 14 | MIT 18.03 Differential Equations, Spring 2006
  15. 15Lec 15 | MIT 18.03 Differential Equations, Spring 2006

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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