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An illustration of secant and tangent lines.

Course18.0135 lectures28 h 32 min

Single Variable Calculus

Prof. David Jerison · Massachusetts Institute of Technology

Start with lecture 1 At MIT OpenCourseWare

About

This introductory calculus course covers differentiation and integration of functions of one variable, with applications.

Lectures

Video Lectures

  1. Lecture 1: Rate of Change 52 min · Video
  2. Lecture 2: Limits 53 min · Video
  3. Lecture 3: Derivatives 50 min · Video
  4. Lecture 4: Chain Rule 47 min · Video
  5. Lecture 5: Implicit Differentiation 49 min · Video
  6. Lecture 6: Exponential and Log 48 min · Video
  7. Lecture 7: Exam 1 Review 51 min · Video
  8. Lecture 9: Linear and Quadratic Approximations 47 min · Video
  9. Lecture 10: Curve Sketching 52 min · Video
  10. Lecture 11: Max-min 50 min · Video
  11. Lecture 12: Related Rates 50 min · Video
  12. Lecture 13: Newton's Method 54 min · Video
  13. Lecture 14: Mean Value Theorem 50 min · Video
  14. Lecture 15: Antiderivatives 49 min · Video
  15. Lecture 16: Differential Equations 46 min · Video
  16. Lecture 18: Definite Integrals 48 min · Video
  17. Lecture 19: First Fundamental Theorem 49 min · Video
  18. Lecture 20: Second Fundamental Theorem 50 min · Video
  19. Lecture 21: Applications to Logarithms 51 min · Video
  20. Lecture 22: Volumes 50 min · Video
  21. Lecture 23: Work, Probability 49 min · Video
  22. Lecture 24: Numerical Integration 51 min · Video
  23. Lecture 25: Exam 3 Review 50 min · Video
  24. Lecture 27: Trig Integrals 47 min · Video
  25. Lecture 28: Inverse Substitution 49 min · Video
  26. Lecture 29: Partial Fractions 49 min · Video
  27. Lecture 30: Integration by Parts 52 min · Video
  28. Lecture 31: Parametric Equations 46 min · Video
  29. Lecture 32: Polar Coordinates 50 min · Video
  30. Lecture 33: Exam 4 Review 50 min · Video
  31. Lecture 35: Indeterminate Forms 49 min · Video
  32. Lecture 36: Improper Integrals 50 min · Video
  33. Lecture 37: Infinite Series 51 min · Video
  34. Lecture 38: Taylor's Series 48 min · Video
  35. Lecture 39: Final Review 40 min · Video

Syllabus and materials

At MIT OpenCourseWare, as the course publishes them.

Credits and licence

Institution
Massachusetts Institute of Technology
Department
Mathematics
Teacher
Prof. David Jerison
Term
Fall 2006
Level
Undergraduate
Language
English
Subjects
Mathematics
Source
MIT OpenCourseWare
Licence
CC BY-NC-SA 4.0, as MIT OpenCourseWare states it. Non-commercial use only. MIT OpenCourseWare's terms
Attribution
Prof. David Jerison. Single Variable Calculus. Fall 2006. Massachusetts Institute of Technology: MIT OpenCourseWare, https://ocw.mit.edu/. License: Creative Commons BY-NC-SA.
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