496 lines
15 KiB
Markdown
496 lines
15 KiB
Markdown
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[Source](https://www.youtube.com/watch?v=UcWsDwg1XwM&index=2&list=PLBE9407EA64E2C318 "Permalink to Big Picture of Calculus - YouTube")
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# Big Picture of Calculus - YouTube
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# This video is unavailable.
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__count__/__total__
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### Sign in to YouTube
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[Sign in][3]
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### [Highlights of Calculus][4]
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* [MIT OpenCourseWare][5]
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* 218 videos
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1. 1 [ ![][6]
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#### Gil Strang's Introduction to Calculus for Highlights for High School
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MIT OpenCourseWare
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][7]
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2. ▶ [ ![][8]
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#### Big Picture of Calculus
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MIT OpenCourseWare
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][9]
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3. 3 [ ![][10]
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#### Big Picture: Derivatives
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MIT OpenCourseWare
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][11]
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4. 4 [ ![][12]
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#### Max and Min and Second Derivative
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MIT OpenCourseWare
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][13]
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5. 5 [ ![][14]
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#### The Exponential Function
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MIT OpenCourseWare
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][15]
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6. 6 [ ![][16]
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#### Big Picture: Integrals
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MIT OpenCourseWare
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][17]
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7. 7 [ ![][18]
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#### Derivative of sin x and cos x | MIT Highlights of Calculus
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MIT OpenCourseWare
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][19]
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8. 8 [ ![][20]
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#### Product Rule and Quotient Rule | MIT Highlights of Calculus
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MIT OpenCourseWare
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][21]
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9. 9 [ ![][2]
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#### Chains f(g(x)) and the Chain Rule | MIT Highlights of Calculus
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MIT OpenCourseWare
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][22]
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10. 10 [ ![][2]
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#### Limits and Continuous Functions | MIT Highlights of Calculus
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MIT OpenCourseWare
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][23]
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11. 11 [ ![][2]
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#### Inverse Funtions f ^-1 (y) and the Logarithm x = ln y | MIT Highlights of Calculus
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MIT OpenCourseWare
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][24]
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12. 12 [ ![][2]
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#### Derivatives of ln y and sin ^-1 (y) | MIT Highlights of Calculus
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MIT OpenCourseWare
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][25]
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13. 13 [ ![][2]
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#### Growth Rates & Log Graphs
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MIT OpenCourseWare
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][26]
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14. 14 [ ![][2]
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#### Linear Approximation/Netwon's Method | MIT Highlights of Calculus
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MIT OpenCourseWare
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][27]
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15. 15 [ ![][2]
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#### Power Series/Euler's Great Formula | MIT Highlights of Calculus
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MIT OpenCourseWare
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][28]
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16. 16 [ ![][2]
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#### Differential Equations of Motion | MIT Highlights of Calculus
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MIT OpenCourseWare
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][29]
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17. 17 [ ![][2]
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#### Differential Equations of Growth | MIT Highlights of Calculus
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MIT OpenCourseWare
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][30]
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18. 18 [ ![][2]
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#### Six Functions, Six Rules, and Six Theorems | MIT Highlights of Calculus
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MIT OpenCourseWare
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][31]
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[Find out why][32]Close
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# Big Picture of Calculus
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[ ![MIT OpenCourseWare][2] ][33]
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[MIT OpenCourseWare][5]
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* Transcript
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* Statistics
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[ Add translations ][34]
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734,962 views
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6,512
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## Transcript
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The interactive transcript could not be loaded.
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**Rating is available when the video has been rented.**
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This feature is not available right now. Please try again later.
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**Published on May 5, 2010**
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Calculus is about change. One function tells how quickly another function is changing. Professor Strang shows how calculus applies to ordinary life situations, such as:
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* driving a car
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* climbing a mountain
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* growing to full adult height
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View the complete course at: [http://ocw.mit.edu/highlights-of-calc...][35]
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License: Creative Commons BY-NC-SA
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More information at [http://ocw.mit.edu/terms][36]
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More courses at [http://ocw.mit.edu][37]
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* #### Category
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* [Education][38]
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* #### License
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* Standard YouTube License
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Show more Show less
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Loading...
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* [ Big Picture: Derivatives \- Duration: 30:05. MIT OpenCourseWare 198,181 views ][39]
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![][2][30:05][40]
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* [ The Birth Of Calculus (1986) \- Duration: 24:44. Gottfried Leibniz 365,159 views ][41]
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![][2][24:44][42]
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* [ Calculus: What Is It? \- Duration: 46:17. New Planet School 417,090 views ][43]
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![][2][46:17][44]
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* [ The hardest problem on the hardest test \- Duration: 11:15. 3Blue1Brown 1,557,968 views ][45]
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![][2][11:15][46]
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* [ Calculus 1 Lecture 1.1: An Introduction to Limits \- Duration: 1:27:26. Professor Leonard 1,074,614 views ][47]
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![][2][1:27:26][48]
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* [ Limits | Chapter 7, Essence of calculus \- Duration: 18:27. 3Blue1Brown 172,249 views ][49]
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![][2][18:27][50]
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* [ What is Calculus Used For? | Jeff Heys | TEDxBozeman \- Duration: 8:51. TEDx Talks 730,841 views ][51]
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![][2][8:51][52]
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* [ The Exponential Function \- Duration: 38:54. MIT OpenCourseWare 332,550 views ][53]
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![][2][38:54][54]
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* [ 4\. Calculus: One of the Most Successful Technologies \- Duration: 1:42:48. Stanford 186,458 views ][55]
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![][2][1:42:48][56]
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* [ Trigonometry: Unit Circle \- Duration: 47:36. New Planet School 298,130 views ][57]
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![][2][47:36][58]
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* [ Big Picture: Integrals \- Duration: 37:22. MIT OpenCourseWare 183,194 views ][59]
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![][2][37:22][60]
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* [ Calculus I - Lecture 01 - A Review of Pre-Calculus \- Duration: 46:51. UMKC 1,029,739 views ][61]
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![][2][46:51][62]
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* [ Calculus in 20 minutes - Reviewing Calculus \- Duration: 18:16. Cool Math 463,233 views ][63]
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![][2][18:16][64]
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* [ The surprising beauty of mathematics | Jonathan Matte | TEDxGreensFarmsAcademy \- Duration: 9:14. TEDx Talks 5,274,380 views ][65]
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![][2][9:14][66]
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* [ Lec 1 | MIT 18.01 Single Variable Calculus, Fall 2007 \- Duration: 51:33. MIT OpenCourseWare 712,782 views ][67]
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![][2][51:33][68]
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* [ Calculus - The Fundamental Theorem, Part 1 \- Duration: 10:20. Derek Owens 293,111 views ][69]
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![][2][10:20][70]
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* [ Calculus I - Lecture 03 - Trigonometry for Calculus \- Duration: 1:12:41. UMKC 204,317 views ][71]
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![][2][1:12:41][72]
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* [ Math 2B. Calculus. Lecture 01. \- Duration: 46:44. UCI Open 687,676 views ][73]
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![][2][46:44][74]
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* [ What Computers Can't Do - with Kevin Buzzard \- Duration: 1:04:06. The Royal Institution 120,704 views ][75]
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![][2][1:04:06][76]
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* [ Math genius Worlds greatest math prodigy Mathematics savant Maths 3.14 Pi Day March 14 Daniel Tammet \- Duration: 8:14. Jonathan Crabtree 1,867,702 views ][77]
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![][2][8:14][78]
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* Language: English
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* Location: United States
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* Restricted Mode: Off
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[History][79] Help
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[6]: https://i.ytimg.com/vi/X9t-u87df3o/hqdefault.jpg?sqp=-oaymwEWCKgBEF5IWvKriqkDCQgBFQAAiEIYAQ==&rs=AOn4CLAHLquuw4XAoUD-MYFn1dcm-YdB8A
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[8]: https://i.ytimg.com/vi/UcWsDwg1XwM/hqdefault.jpg?sqp=-oaymwEWCKgBEF5IWvKriqkDCQgBFQAAiEIYAQ==&rs=AOn4CLAfgk7RXnh3AFaLxS-E50w3RDKj4w
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[9]: https://www.youtube.com/watch?v=UcWsDwg1XwM&list=PLBE9407EA64E2C318&index=2
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[10]: https://i.ytimg.com/vi/T_I-CUOc_bk/hqdefault.jpg?sqp=-oaymwEWCKgBEF5IWvKriqkDCQgBFQAAiEIYAQ==&rs=AOn4CLDhufJeAdGSBohasLMQNZE0Jj6HjA
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[11]: https://www.youtube.com/watch?v=T_I-CUOc_bk&list=PLBE9407EA64E2C318&index=3
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[13]: https://www.youtube.com/watch?v=tBBJ2TSTa1Q&list=PLBE9407EA64E2C318&index=4
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[15]: https://www.youtube.com/watch?v=oo1ZZlvT2LQ&list=PLBE9407EA64E2C318&index=5
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[16]: https://i.ytimg.com/vi/2qxY859dzzQ/hqdefault.jpg?sqp=-oaymwEWCKgBEF5IWvKriqkDCQgBFQAAiEIYAQ==&rs=AOn4CLDU5KP8j8oF_86Pxwz2ykOqJ1FJig
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[17]: https://www.youtube.com/watch?v=2qxY859dzzQ&list=PLBE9407EA64E2C318&index=6
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[18]: https://i.ytimg.com/vi/FtQl1gAo12E/hqdefault.jpg?sqp=-oaymwEWCKgBEF5IWvKriqkDCQgBFQAAiEIYAQ==&rs=AOn4CLBKTGBU5LWWILCAC-HoDrPFh61SzA
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[19]: https://www.youtube.com/watch?v=FtQl1gAo12E&list=PLBE9407EA64E2C318&index=7
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[20]: https://i.ytimg.com/vi/5ZpqI8zz1HM/hqdefault.jpg?sqp=-oaymwEWCKgBEF5IWvKriqkDCQgBFQAAiEIYAQ==&rs=AOn4CLAYLuKFigIN4ff5tCQBInBF7e9XoA
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[21]: https://www.youtube.com/watch?v=5ZpqI8zz1HM&list=PLBE9407EA64E2C318&index=8
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[22]: https://www.youtube.com/watch?v=yQrKXo89nHA&list=PLBE9407EA64E2C318&index=9
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[23]: https://www.youtube.com/watch?v=kAv5pahIevE&list=PLBE9407EA64E2C318&index=10
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[24]: https://www.youtube.com/watch?v=I_ril7ToAi4&list=PLBE9407EA64E2C318&index=11
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[25]: https://www.youtube.com/watch?v=cRsptYEK1G4&list=PLBE9407EA64E2C318&index=12
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[26]: https://www.youtube.com/watch?v=WU1m2QQrlho&list=PLBE9407EA64E2C318&index=13
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[27]: https://www.youtube.com/watch?v=U0xlKuFqCuI&list=PLBE9407EA64E2C318&index=14
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[28]: https://www.youtube.com/watch?v=N4ceWhmXxcs&list=PLBE9407EA64E2C318&index=15
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[29]: https://www.youtube.com/watch?v=4PBYm3FuUNQ&list=PLBE9407EA64E2C318&index=16
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[30]: https://www.youtube.com/watch?v=IDo4uPyqQbQ&list=PLBE9407EA64E2C318&index=17
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[31]: https://www.youtube.com/watch?v=LgWFurXHX8U&list=PLBE9407EA64E2C318&index=18
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[32]: https://www.google.com/get/videoqualityreport/?v=UcWsDwg1XwM
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[33]: https://www.youtube.com/user/MIT
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[34]: https://www.youtube.com/timedtext_video?v=UcWsDwg1XwM&ref=wt&auto=yes&bl=watch
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[35]: https://www.youtube.com/redirect?q=http%3A%2F%2Focw.mit.edu%2Fhighlights-of-calculus&redir_token=PQjOIH3X_UgXu9sS2TB4VsxXZMd8MTUxOTQ4ODY2NkAxNTE5NDAyMjY2&v=UcWsDwg1XwM&event=video_description
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[36]: https://www.youtube.com/redirect?q=http%3A%2F%2Focw.mit.edu%2Fterms&redir_token=PQjOIH3X_UgXu9sS2TB4VsxXZMd8MTUxOTQ4ODY2NkAxNTE5NDAyMjY2&v=UcWsDwg1XwM&event=video_description
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[37]: https://www.youtube.com/redirect?q=http%3A%2F%2Focw.mit.edu&redir_token=PQjOIH3X_UgXu9sS2TB4VsxXZMd8MTUxOTQ4ODY2NkAxNTE5NDAyMjY2&v=UcWsDwg1XwM&event=video_description
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[38]: https://www.youtube.com/channel/UC3yA8nDwraeOfnYfBWun83g
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[39]: https://www.youtube.com/watch?v=T_I-CUOc_bk "Big Picture: Derivatives"
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[40]: https://www.youtube.com/watch?v=T_I-CUOc_bk
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[41]: https://www.youtube.com/watch?v=ObPg3ki9GOI "The Birth Of Calculus (1986)"
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[42]: https://www.youtube.com/watch?v=ObPg3ki9GOI
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[43]: https://www.youtube.com/watch?v=INFoNeC1eBA "Calculus: What Is It?"
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[44]: https://www.youtube.com/watch?v=INFoNeC1eBA
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[45]: https://www.youtube.com/watch?v=OkmNXy7er84 "The hardest problem on the hardest test"
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[46]: https://www.youtube.com/watch?v=OkmNXy7er84
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[47]: https://www.youtube.com/watch?v=54_XRjHhZzI "Calculus 1 Lecture 1.1: An Introduction to Limits"
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[48]: https://www.youtube.com/watch?v=54_XRjHhZzI
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[49]: https://www.youtube.com/watch?v=kfF40MiS7zA "Limits | Chapter 7, Essence of calculus"
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[50]: https://www.youtube.com/watch?v=kfF40MiS7zA
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[51]: https://www.youtube.com/watch?v=_Idra8rVS1I "What is Calculus Used For? | Jeff Heys | TEDxBozeman"
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[52]: https://www.youtube.com/watch?v=_Idra8rVS1I
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[53]: https://www.youtube.com/watch?v=oo1ZZlvT2LQ "The Exponential Function"
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[54]: https://www.youtube.com/watch?v=oo1ZZlvT2LQ
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[55]: https://www.youtube.com/watch?v=8ZLC0egL6pc "4. Calculus: One of the Most Successful Technologies"
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[56]: https://www.youtube.com/watch?v=8ZLC0egL6pc
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[57]: https://www.youtube.com/watch?v=593w799sBms "Trigonometry: Unit Circle"
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[58]: https://www.youtube.com/watch?v=593w799sBms
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[59]: https://www.youtube.com/watch?v=2qxY859dzzQ "Big Picture: Integrals"
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[60]: https://www.youtube.com/watch?v=2qxY859dzzQ
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[61]: https://www.youtube.com/watch?v=CtRAHmeWSC0 "Calculus I - Lecture 01 - A Review of Pre-Calculus"
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[62]: https://www.youtube.com/watch?v=CtRAHmeWSC0
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[63]: https://www.youtube.com/watch?v=di_bzYD0Mkg "Calculus in 20 minutes - Reviewing Calculus"
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[64]: https://www.youtube.com/watch?v=di_bzYD0Mkg
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[65]: https://www.youtube.com/watch?v=SEiSloE1r-A "The surprising beauty of mathematics | Jonathan Matte | TEDxGreensFarmsAcademy"
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[66]: https://www.youtube.com/watch?v=SEiSloE1r-A
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[67]: https://www.youtube.com/watch?v=jbIQW0gkgxo "Lec 1 | MIT 18.01 Single Variable Calculus, Fall 2007"
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[68]: https://www.youtube.com/watch?v=jbIQW0gkgxo
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[69]: https://www.youtube.com/watch?v=9bJ2Z1jbIAE "Calculus - The Fundamental Theorem, Part 1"
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[70]: https://www.youtube.com/watch?v=9bJ2Z1jbIAE
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[71]: https://www.youtube.com/watch?v=YFXKu16kWd0 "Calculus I - Lecture 03 - Trigonometry for Calculus"
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[72]: https://www.youtube.com/watch?v=YFXKu16kWd0
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[73]: https://www.youtube.com/watch?v=GtP6CUEHDhY "Math 2B. Calculus. Lecture 01."
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[74]: https://www.youtube.com/watch?v=GtP6CUEHDhY
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[75]: https://www.youtube.com/watch?v=jQPb7DRMoZY "What Computers Can't Do - with Kevin Buzzard"
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[76]: https://www.youtube.com/watch?v=jQPb7DRMoZY
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[77]: https://www.youtube.com/watch?v=t2uRuFgZSDc "Math genius Worlds greatest math prodigy Mathematics savant Maths 3.14 Pi Day March 14 Daniel Tammet"
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[78]: https://www.youtube.com/watch?v=t2uRuFgZSDc
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[79]: https://www.youtube.com/feed/history
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[80]: https://www.youtube.com//www.youtube.com/yt/about/
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[81]: https://www.youtube.com//www.youtube.com/yt/press/
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[82]: https://www.youtube.com//www.youtube.com/yt/copyright/
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[83]: https://www.youtube.com//www.youtube.com/yt/creators/
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[84]: https://www.youtube.com//www.youtube.com/yt/advertise/
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[85]: https://www.youtube.com//www.youtube.com/yt/dev/
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[86]: https://plus.google.com/+youtube
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[87]: https://www.youtube.com/t/terms
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[88]: https://www.google.com/intl/en/policies/privacy/
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[89]: https://www.youtube.com//www.youtube.com/yt/policyandsafety/
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[90]: https://www.youtube.com//support.google.com/youtube/?hl=en
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[91]: https://www.youtube.com/testtube
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[92]: https://accounts.google.com/ServiceLogin?hl=en&uilel=3&continue=https%3A%2F%2Fwww.youtube.com%2Fsignin%3Fnext%3D%252Fwatch%253Fv%253DUcWsDwg1XwM%2526index%253D2%2526list%253DPLBE9407EA64E2C318%26hl%3Den%26feature%3Dplaylist%26app%3Ddesktop%26action_handle_signin%3Dtrue&service=youtube&passive=true
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