--- 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 story_text: comment_text: num_comments: 59 story_id: story_title: story_url: parent_id: created_at_i: 1486984370 _tags: - story - author_espeed - story_13634476 objectID: '13634476' --- [Source](https://www.youtube.com/watch?v=UcWsDwg1XwM&index=2&list=PLBE9407EA64E2C318 "Permalink to Big Picture of Calculus - YouTube") # Big Picture of Calculus - YouTube Skip navigation [ ][1] Sign in Search Loading... Close Yeah, keep it Undo Close ![][2] # This video is unavailable. ### Watch Queue ### Queue Watch QueueQueue * Remove all * Disconnect The next video is startingstop Loading... Watch Queue Queue __count__/__total__ ### Sign in to YouTube [Sign in][3] ### [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 [ ![MIT OpenCourseWare][2] ][33] [MIT OpenCourseWare][5] Loading... Unsubscribe from MIT OpenCourseWare? Cancel Unsubscribe Working... SubscribeSubscribedUnsubscribe1.4M Loading... Loading... Working... Add to ### Want to watch this again later? Sign in to add this video to a playlist. [Sign in][3] Share More * Report ### Need to report the video? Sign in to report inappropriate content. [Sign in][3] * Transcript * Statistics [ Add translations ][34] 734,962 views 6,512 ### Like this video? Sign in to make your opinion count. [Sign in][3] 6,513 130 ### Don't like this video? Sign in to make your opinion count. [Sign in][3] 131 Loading... Loading... ## Transcript The interactive transcript could not be loaded. Loading... Loading... **Rating is available when the video has been rented.** This feature is not available right now. Please try again later. **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 Show more Show less Loading... * [ 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] * Loading more suggestions... Show more * Language: English * Location: United States * Restricted Mode: Off [History][79] Help Loading... Loading... Loading... * [About][80] * [Press][81] * [Copyright][82] * [Creators][83] * [Advertise][84] * [Developers][85] * [+YouTube][86] * [Terms][87] * [Privacy][88] * [ Policy & Safety ][89] * [Send feedback][90] * [Test new features][91] * Loading... Working... [Sign in][92] to add this to Watch Later ### Add to Loading playlists... [1]: https://www.youtube.com/ "YouTube Home" [2]: https://www.youtube.com/yts/img/pixel-vfl3z5WfW.gif [3]: 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%3D__FEATURE__%26app%3Ddesktop%26action_handle_signin%3Dtrue&service=youtube&passive=true [4]: https://www.youtube.com/playlist?list=PLBE9407EA64E2C318 [5]: https://www.youtube.com/channel/UCEBb1b_L6zDS3xTUrIALZOw [6]: https://i.ytimg.com/vi/X9t-u87df3o/hqdefault.jpg?sqp=-oaymwEWCKgBEF5IWvKriqkDCQgBFQAAiEIYAQ==&rs=AOn4CLAHLquuw4XAoUD-MYFn1dcm-YdB8A [7]: https://www.youtube.com/watch?v=X9t-u87df3o&list=PLBE9407EA64E2C318&index=1 [8]: https://i.ytimg.com/vi/UcWsDwg1XwM/hqdefault.jpg?sqp=-oaymwEWCKgBEF5IWvKriqkDCQgBFQAAiEIYAQ==&rs=AOn4CLAfgk7RXnh3AFaLxS-E50w3RDKj4w [9]: https://www.youtube.com/watch?v=UcWsDwg1XwM&list=PLBE9407EA64E2C318&index=2 [10]: https://i.ytimg.com/vi/T_I-CUOc_bk/hqdefault.jpg?sqp=-oaymwEWCKgBEF5IWvKriqkDCQgBFQAAiEIYAQ==&rs=AOn4CLDhufJeAdGSBohasLMQNZE0Jj6HjA [11]: https://www.youtube.com/watch?v=T_I-CUOc_bk&list=PLBE9407EA64E2C318&index=3 [12]: https://i.ytimg.com/vi/tBBJ2TSTa1Q/hqdefault.jpg?sqp=-oaymwEWCKgBEF5IWvKriqkDCQgBFQAAiEIYAQ==&rs=AOn4CLAU4IHHK1EKjvu_YIMq-Vq_ZtJtHw [13]: https://www.youtube.com/watch?v=tBBJ2TSTa1Q&list=PLBE9407EA64E2C318&index=4 [14]: https://i.ytimg.com/vi/oo1ZZlvT2LQ/hqdefault.jpg?sqp=-oaymwEWCKgBEF5IWvKriqkDCQgBFQAAiEIYAQ==&rs=AOn4CLAVJTyEtaoBNSV14j31_sC75NiL3Q [15]: https://www.youtube.com/watch?v=oo1ZZlvT2LQ&list=PLBE9407EA64E2C318&index=5 [16]: https://i.ytimg.com/vi/2qxY859dzzQ/hqdefault.jpg?sqp=-oaymwEWCKgBEF5IWvKriqkDCQgBFQAAiEIYAQ==&rs=AOn4CLDU5KP8j8oF_86Pxwz2ykOqJ1FJig [17]: https://www.youtube.com/watch?v=2qxY859dzzQ&list=PLBE9407EA64E2C318&index=6 [18]: https://i.ytimg.com/vi/FtQl1gAo12E/hqdefault.jpg?sqp=-oaymwEWCKgBEF5IWvKriqkDCQgBFQAAiEIYAQ==&rs=AOn4CLBKTGBU5LWWILCAC-HoDrPFh61SzA [19]: https://www.youtube.com/watch?v=FtQl1gAo12E&list=PLBE9407EA64E2C318&index=7 [20]: https://i.ytimg.com/vi/5ZpqI8zz1HM/hqdefault.jpg?sqp=-oaymwEWCKgBEF5IWvKriqkDCQgBFQAAiEIYAQ==&rs=AOn4CLAYLuKFigIN4ff5tCQBInBF7e9XoA [21]: https://www.youtube.com/watch?v=5ZpqI8zz1HM&list=PLBE9407EA64E2C318&index=8 [22]: https://www.youtube.com/watch?v=yQrKXo89nHA&list=PLBE9407EA64E2C318&index=9 [23]: https://www.youtube.com/watch?v=kAv5pahIevE&list=PLBE9407EA64E2C318&index=10 [24]: https://www.youtube.com/watch?v=I_ril7ToAi4&list=PLBE9407EA64E2C318&index=11 [25]: https://www.youtube.com/watch?v=cRsptYEK1G4&list=PLBE9407EA64E2C318&index=12 [26]: https://www.youtube.com/watch?v=WU1m2QQrlho&list=PLBE9407EA64E2C318&index=13 [27]: https://www.youtube.com/watch?v=U0xlKuFqCuI&list=PLBE9407EA64E2C318&index=14 [28]: https://www.youtube.com/watch?v=N4ceWhmXxcs&list=PLBE9407EA64E2C318&index=15 [29]: https://www.youtube.com/watch?v=4PBYm3FuUNQ&list=PLBE9407EA64E2C318&index=16 [30]: https://www.youtube.com/watch?v=IDo4uPyqQbQ&list=PLBE9407EA64E2C318&index=17 [31]: https://www.youtube.com/watch?v=LgWFurXHX8U&list=PLBE9407EA64E2C318&index=18 [32]: https://www.google.com/get/videoqualityreport/?v=UcWsDwg1XwM [33]: https://www.youtube.com/user/MIT [34]: https://www.youtube.com/timedtext_video?v=UcWsDwg1XwM&ref=wt&auto=yes&bl=watch [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 [36]: https://www.youtube.com/redirect?q=http%3A%2F%2Focw.mit.edu%2Fterms&redir_token=PQjOIH3X_UgXu9sS2TB4VsxXZMd8MTUxOTQ4ODY2NkAxNTE5NDAyMjY2&v=UcWsDwg1XwM&event=video_description [37]: https://www.youtube.com/redirect?q=http%3A%2F%2Focw.mit.edu&redir_token=PQjOIH3X_UgXu9sS2TB4VsxXZMd8MTUxOTQ4ODY2NkAxNTE5NDAyMjY2&v=UcWsDwg1XwM&event=video_description [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" [78]: https://www.youtube.com/watch?v=t2uRuFgZSDc [79]: https://www.youtube.com/feed/history [80]: https://www.youtube.com//www.youtube.com/yt/about/ [81]: https://www.youtube.com//www.youtube.com/yt/press/ [82]: https://www.youtube.com//www.youtube.com/yt/copyright/ [83]: https://www.youtube.com//www.youtube.com/yt/creators/ [84]: https://www.youtube.com//www.youtube.com/yt/advertise/ [85]: https://www.youtube.com//www.youtube.com/yt/dev/ [86]: https://plus.google.com/+youtube [87]: https://www.youtube.com/t/terms [88]: https://www.google.com/intl/en/policies/privacy/ [89]: https://www.youtube.com//www.youtube.com/yt/policyandsafety/ [90]: https://www.youtube.com//support.google.com/youtube/?hl=en [91]: https://www.youtube.com/testtube [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