---
created_at: '2017-02-13T11:12:50.000Z'
title: Big Picture of Calculus (2010) [video]
url: https://www.youtube.com/watch?v=UcWsDwg1XwM&index=2&list=PLBE9407EA64E2C318
author: espeed
points: 393
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---
[Source](https://www.youtube.com/watch?v=UcWsDwg1XwM&index=2&list=PLBE9407EA64E2C318 "Permalink to Big Picture of Calculus - YouTube")

# Big Picture of Calculus - YouTube

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###  [Highlights of Calculus][4]

* [MIT OpenCourseWare][5]
* 218 videos

1. 1  [ ![][6]

####  Gil Strang's Introduction to Calculus for Highlights for High School 

MIT OpenCourseWare

][7]
2. ▶  [ ![][8]

####  Big Picture of Calculus 

MIT OpenCourseWare

][9]
3. 3  [ ![][10]

####  Big Picture: Derivatives 

MIT OpenCourseWare

][11]
4. 4  [ ![][12]

####  Max and Min and Second Derivative 

MIT OpenCourseWare

][13]
5. 5  [ ![][14]

####  The Exponential Function 

MIT OpenCourseWare

][15]
6. 6  [ ![][16]

####  Big Picture: Integrals 

MIT OpenCourseWare

][17]
7. 7  [ ![][18]

####  Derivative of sin x and cos x | MIT Highlights of Calculus 

MIT OpenCourseWare

][19]
8. 8  [ ![][20]

####  Product Rule and Quotient Rule | MIT Highlights of Calculus 

MIT OpenCourseWare

][21]
9. 9  [ ![][2]

####  Chains f(g(x)) and the Chain Rule | MIT Highlights of Calculus 

MIT OpenCourseWare

][22]
10. 10  [ ![][2]

####  Limits and Continuous Functions | MIT Highlights of Calculus 

MIT OpenCourseWare

][23]
11. 11  [ ![][2]

####  Inverse Funtions f ^-1 (y) and the Logarithm x = ln y | MIT Highlights of Calculus 

MIT OpenCourseWare

][24]
12. 12  [ ![][2]

####  Derivatives of ln y and sin ^-1 (y) | MIT Highlights of Calculus 

MIT OpenCourseWare

][25]
13. 13  [ ![][2]

####  Growth Rates & Log Graphs 

MIT OpenCourseWare

][26]
14. 14  [ ![][2]

####  Linear Approximation/Netwon's Method | MIT Highlights of Calculus 

MIT OpenCourseWare

][27]
15. 15  [ ![][2]

####  Power Series/Euler's Great Formula | MIT Highlights of Calculus 

MIT OpenCourseWare

][28]
16. 16  [ ![][2]

####  Differential Equations of Motion | MIT Highlights of Calculus 

MIT OpenCourseWare

][29]
17. 17  [ ![][2]

####  Differential Equations of Growth | MIT Highlights of Calculus 

MIT OpenCourseWare

][30]
18. 18  [ ![][2]

####  Six Functions, Six Rules, and Six Theorems | MIT Highlights of Calculus 

MIT OpenCourseWare

][31]

[Find out why][32]Close

#  Big Picture of Calculus 

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##  Transcript 

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**Published on May 5, 2010**

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:  
* driving a car  
* climbing a mountain  
* growing to full adult height  
  
View the complete course at: [http://ocw.mit.edu/highlights-of-calc...][35]  
  
License: Creative Commons BY-NC-SA  
More information at [http://ocw.mit.edu/terms][36]  
More courses at [http://ocw.mit.edu][37]

* ####  Category 

    * [Education][38]
* ####  License 

    * Standard YouTube License

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* [ Big Picture: Derivatives  \- Duration: 30:05.  MIT OpenCourseWare 198,181 views ][39]

![][2][30:05][40]

* [ The Birth Of Calculus (1986)  \- Duration: 24:44.  Gottfried Leibniz 365,159 views ][41]

![][2][24:44][42]

* [ Calculus: What Is It?  \- Duration: 46:17.  New Planet School 417,090 views ][43]

![][2][46:17][44]

* [ The hardest problem on the hardest test  \- Duration: 11:15.  3Blue1Brown 1,557,968 views ][45]

![][2][11:15][46]

* [ Calculus 1 Lecture 1.1: An Introduction to Limits  \- Duration: 1:27:26.  Professor Leonard 1,074,614 views ][47]

![][2][1:27:26][48]

* [ Limits | Chapter 7, Essence of calculus  \- Duration: 18:27.  3Blue1Brown 172,249 views ][49]

![][2][18:27][50]

* [ What is Calculus Used For? | Jeff Heys | TEDxBozeman  \- Duration: 8:51.  TEDx Talks 730,841 views ][51]

![][2][8:51][52]

* [ The Exponential Function  \- Duration: 38:54.  MIT OpenCourseWare 332,550 views ][53]

![][2][38:54][54]

* [ 4\. Calculus: One of the Most Successful Technologies  \- Duration: 1:42:48.  Stanford 186,458 views ][55]

![][2][1:42:48][56]

* [ Trigonometry: Unit Circle  \- Duration: 47:36.  New Planet School 298,130 views ][57]

![][2][47:36][58]

* [ Big Picture: Integrals  \- Duration: 37:22.  MIT OpenCourseWare 183,194 views ][59]

![][2][37:22][60]

* [ Calculus I - Lecture 01 - A Review of Pre-Calculus  \- Duration: 46:51.  UMKC 1,029,739 views ][61]

![][2][46:51][62]

* [ Calculus in 20 minutes - Reviewing Calculus  \- Duration: 18:16.  Cool Math 463,233 views ][63]

![][2][18:16][64]

* [ The surprising beauty of mathematics | Jonathan Matte | TEDxGreensFarmsAcademy  \- Duration: 9:14.  TEDx Talks 5,274,380 views ][65]

![][2][9:14][66]

* [ Lec 1 | MIT 18.01 Single Variable Calculus, Fall 2007  \- Duration: 51:33.  MIT OpenCourseWare 712,782 views ][67]

![][2][51:33][68]

* [ Calculus - The Fundamental Theorem, Part 1  \- Duration: 10:20.  Derek Owens 293,111 views ][69]

![][2][10:20][70]

* [ Calculus I - Lecture 03 - Trigonometry for Calculus  \- Duration: 1:12:41.  UMKC 204,317 views ][71]

![][2][1:12:41][72]

* [ Math 2B. Calculus. Lecture 01.  \- Duration: 46:44.  UCI Open 687,676 views ][73]

![][2][46:44][74]

* [ What Computers Can't Do - with Kevin Buzzard  \- Duration: 1:04:06.  The Royal Institution 120,704 views ][75]

![][2][1:04:06][76]

* [ 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]

![][2][8:14][78]

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[38]: https://www.youtube.com/channel/UC3yA8nDwraeOfnYfBWun83g
[39]: https://www.youtube.com/watch?v=T_I-CUOc_bk "Big Picture: Derivatives"
[40]: https://www.youtube.com/watch?v=T_I-CUOc_bk
[41]: https://www.youtube.com/watch?v=ObPg3ki9GOI "The Birth Of Calculus (1986)"
[42]: https://www.youtube.com/watch?v=ObPg3ki9GOI
[43]: https://www.youtube.com/watch?v=INFoNeC1eBA "Calculus: What Is It?"
[44]: https://www.youtube.com/watch?v=INFoNeC1eBA
[45]: https://www.youtube.com/watch?v=OkmNXy7er84 "The hardest problem on the hardest test"
[46]: https://www.youtube.com/watch?v=OkmNXy7er84
[47]: https://www.youtube.com/watch?v=54_XRjHhZzI "Calculus 1 Lecture 1.1:  An Introduction to Limits"
[48]: https://www.youtube.com/watch?v=54_XRjHhZzI
[49]: https://www.youtube.com/watch?v=kfF40MiS7zA "Limits | Chapter 7, Essence of calculus"
[50]: https://www.youtube.com/watch?v=kfF40MiS7zA
[51]: https://www.youtube.com/watch?v=_Idra8rVS1I "What is Calculus Used For? | Jeff Heys | TEDxBozeman"
[52]: https://www.youtube.com/watch?v=_Idra8rVS1I
[53]: https://www.youtube.com/watch?v=oo1ZZlvT2LQ "The Exponential Function"
[54]: https://www.youtube.com/watch?v=oo1ZZlvT2LQ
[55]: https://www.youtube.com/watch?v=8ZLC0egL6pc "4. Calculus: One of the Most Successful Technologies"
[56]: https://www.youtube.com/watch?v=8ZLC0egL6pc
[57]: https://www.youtube.com/watch?v=593w799sBms "Trigonometry: Unit Circle"
[58]: https://www.youtube.com/watch?v=593w799sBms
[59]: https://www.youtube.com/watch?v=2qxY859dzzQ "Big Picture: Integrals"
[60]: https://www.youtube.com/watch?v=2qxY859dzzQ
[61]: https://www.youtube.com/watch?v=CtRAHmeWSC0 "Calculus I - Lecture 01 - A Review of Pre-Calculus"
[62]: https://www.youtube.com/watch?v=CtRAHmeWSC0
[63]: https://www.youtube.com/watch?v=di_bzYD0Mkg "Calculus in 20 minutes - Reviewing Calculus"
[64]: https://www.youtube.com/watch?v=di_bzYD0Mkg
[65]: https://www.youtube.com/watch?v=SEiSloE1r-A "The surprising beauty of mathematics | Jonathan Matte | TEDxGreensFarmsAcademy"
[66]: https://www.youtube.com/watch?v=SEiSloE1r-A
[67]: https://www.youtube.com/watch?v=jbIQW0gkgxo "Lec 1 | MIT 18.01 Single Variable Calculus, Fall 2007"
[68]: https://www.youtube.com/watch?v=jbIQW0gkgxo
[69]: https://www.youtube.com/watch?v=9bJ2Z1jbIAE "Calculus - The Fundamental Theorem, Part 1"
[70]: https://www.youtube.com/watch?v=9bJ2Z1jbIAE
[71]: https://www.youtube.com/watch?v=YFXKu16kWd0 "Calculus I - Lecture 03 - Trigonometry for Calculus"
[72]: https://www.youtube.com/watch?v=YFXKu16kWd0
[73]: https://www.youtube.com/watch?v=GtP6CUEHDhY "Math 2B. Calculus. Lecture 01."
[74]: https://www.youtube.com/watch?v=GtP6CUEHDhY
[75]: https://www.youtube.com/watch?v=jQPb7DRMoZY "What Computers Can't Do - with Kevin Buzzard"
[76]: https://www.youtube.com/watch?v=jQPb7DRMoZY
[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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