# Single Variable Calculus

- Institution: Massachusetts Institute of Technology
- Department: Mathematics
- Teacher: Prof. David Jerison
- Term: Fall 2006
- Level: Undergraduate
- Language: English
- Subjects: Mathematics
- Source: [MIT OpenCourseWare](https://ocw.mit.edu/courses/18-01-single-variable-calculus-fall-2006/)
- Licence: [CC BY-NC-SA 4.0](https://creativecommons.org/licenses/by-nc-sa/4.0/) (Non-commercial use only.)
- Syllabus: [at the source](https://ocw.mit.edu/courses/18-01-single-variable-calculus-fall-2006/pages/syllabus/)
- Readings: [at the source](https://ocw.mit.edu/courses/18-01-single-variable-calculus-fall-2006/pages/readings/)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

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

## Lectures

1. [Lecture 1: Rate of Change](https://invisiblenetwork.ai/learn/mit/18-01-single-variable-calculus-fall-2006/aa08bd696923), 52 min (Video)
2. [Lecture 2: Limits](https://invisiblenetwork.ai/learn/mit/18-01-single-variable-calculus-fall-2006/6cc3977b5af8), 53 min (Video)
3. [Lecture 3: Derivatives](https://invisiblenetwork.ai/learn/mit/18-01-single-variable-calculus-fall-2006/155ff5594431), 50 min (Video)
4. [Lecture 4: Chain Rule](https://invisiblenetwork.ai/learn/mit/18-01-single-variable-calculus-fall-2006/364243d2ea98), 47 min (Video)
5. [Lecture 5: Implicit Differentiation](https://invisiblenetwork.ai/learn/mit/18-01-single-variable-calculus-fall-2006/8ac7f7437c54), 49 min (Video)
6. [Lecture 6: Exponential and Log](https://invisiblenetwork.ai/learn/mit/18-01-single-variable-calculus-fall-2006/cd2deeee4607), 48 min (Video)
7. [Lecture 7: Exam 1 Review](https://invisiblenetwork.ai/learn/mit/18-01-single-variable-calculus-fall-2006/42a78d6cdc65), 51 min (Video)
8. [Lecture 9: Linear and Quadratic Approximations](https://invisiblenetwork.ai/learn/mit/18-01-single-variable-calculus-fall-2006/c6ec80c42871), 47 min (Video)
9. [Lecture 10: Curve Sketching](https://invisiblenetwork.ai/learn/mit/18-01-single-variable-calculus-fall-2006/8986ba5fd6a4), 52 min (Video)
10. [Lecture 11: Max-min](https://invisiblenetwork.ai/learn/mit/18-01-single-variable-calculus-fall-2006/1e579df93e83), 50 min (Video)
11. [Lecture 12: Related Rates](https://invisiblenetwork.ai/learn/mit/18-01-single-variable-calculus-fall-2006/71d4f76c409a), 50 min (Video)
12. [Lecture 13: Newton's Method](https://invisiblenetwork.ai/learn/mit/18-01-single-variable-calculus-fall-2006/2d7804bc16a2), 54 min (Video)
13. [Lecture 14: Mean Value Theorem](https://invisiblenetwork.ai/learn/mit/18-01-single-variable-calculus-fall-2006/150ce286a932), 50 min (Video)
14. [Lecture 15: Antiderivatives](https://invisiblenetwork.ai/learn/mit/18-01-single-variable-calculus-fall-2006/0e7769995812), 49 min (Video)
15. [Lecture 16: Differential Equations](https://invisiblenetwork.ai/learn/mit/18-01-single-variable-calculus-fall-2006/c0e7775ead0e), 46 min (Video)
16. [Lecture 18: Definite Integrals](https://invisiblenetwork.ai/learn/mit/18-01-single-variable-calculus-fall-2006/fa60d5348453), 48 min (Video)
17. [Lecture 19: First Fundamental Theorem](https://invisiblenetwork.ai/learn/mit/18-01-single-variable-calculus-fall-2006/b4428109fce4), 49 min (Video)
18. [Lecture 20: Second Fundamental Theorem](https://invisiblenetwork.ai/learn/mit/18-01-single-variable-calculus-fall-2006/2c2f04159eba), 50 min (Video)
19. [Lecture 21: Applications to Logarithms](https://invisiblenetwork.ai/learn/mit/18-01-single-variable-calculus-fall-2006/32b7c11bdddd), 51 min (Video)
20. [Lecture 22: Volumes](https://invisiblenetwork.ai/learn/mit/18-01-single-variable-calculus-fall-2006/ca54acdf18d2), 50 min (Video)
21. [Lecture 23: Work, Probability](https://invisiblenetwork.ai/learn/mit/18-01-single-variable-calculus-fall-2006/98d41b883cd7), 49 min (Video)
22. [Lecture 24: Numerical Integration](https://invisiblenetwork.ai/learn/mit/18-01-single-variable-calculus-fall-2006/19067d1190df), 51 min (Video)
23. [Lecture 25: Exam 3 Review](https://invisiblenetwork.ai/learn/mit/18-01-single-variable-calculus-fall-2006/f55954e5ba4f), 50 min (Video)
24. [Lecture 27: Trig Integrals](https://invisiblenetwork.ai/learn/mit/18-01-single-variable-calculus-fall-2006/1c0adc8bb8b1), 47 min (Video)
25. [Lecture 28: Inverse Substitution](https://invisiblenetwork.ai/learn/mit/18-01-single-variable-calculus-fall-2006/eb921256c643), 49 min (Video)
26. [Lecture 29: Partial Fractions](https://invisiblenetwork.ai/learn/mit/18-01-single-variable-calculus-fall-2006/cbd3abf085f8), 49 min (Video)
27. [Lecture 30: Integration by Parts](https://invisiblenetwork.ai/learn/mit/18-01-single-variable-calculus-fall-2006/280d9561c722), 52 min (Video)
28. [Lecture 31: Parametric Equations](https://invisiblenetwork.ai/learn/mit/18-01-single-variable-calculus-fall-2006/51d1add0f8b4), 46 min (Video)
29. [Lecture 32: Polar Coordinates](https://invisiblenetwork.ai/learn/mit/18-01-single-variable-calculus-fall-2006/74afa6352291), 50 min (Video)
30. [Lecture 33: Exam 4 Review](https://invisiblenetwork.ai/learn/mit/18-01-single-variable-calculus-fall-2006/da807875806b), 50 min (Video)
31. [Lecture 35: Indeterminate Forms](https://invisiblenetwork.ai/learn/mit/18-01-single-variable-calculus-fall-2006/982afb4ba731), 49 min (Video)
32. [Lecture 36: Improper Integrals](https://invisiblenetwork.ai/learn/mit/18-01-single-variable-calculus-fall-2006/0b7b0ced67da), 50 min (Video)
33. [Lecture 37: Infinite Series](https://invisiblenetwork.ai/learn/mit/18-01-single-variable-calculus-fall-2006/c9ead8eff83c), 51 min (Video)
34. [Lecture 38: Taylor's Series](https://invisiblenetwork.ai/learn/mit/18-01-single-variable-calculus-fall-2006/7ca63643e750), 48 min (Video)
35. [Lecture 39: Final Review](https://invisiblenetwork.ai/learn/mit/18-01-single-variable-calculus-fall-2006/7faae2e44b99), 40 min (Video)