This section contains the video index and videos for the various topics of the course. http://ocw.mit.edu/courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures 2013-04-02T15:43:26+05:00 MIT OpenCourseWare http://ocw.mit.edu en-US Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm <div class="vidpad"><p><strong>Topics covered:</strong>: Derivatives, slope, velocity, rate of change</p> <p><strong>Instructor:</strong> Prof. David Jerison</p></div>Transcript: <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-1-derivatives/18-01F07-L01.pdf>PDF (English - US)</a><br>Subtitles: <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-1-derivatives/ocw-18.01-f07-lec01_300k.SRT>SRT (English - US)</a><br>Thumbnail - <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-1-derivatives/lec01.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.01JF07_LEC01-07/ocw-18.01-f07-lec01_300k_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1877315077.01877315082.1874808017?i=1157749963>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1801f06_single_variable_calculus/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/7K1sB05pE0A>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br> http://ocw.mit.edu/courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-1-derivatives Jerison, David 2007-07-24T06:30:40+05:00 en-US MIT OpenCourseWare http://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm <div class="vidpad"><p><strong>Topics covered:</strong> Limits, continuity - Trigonometric limits</p> <p><strong>Instructor:</strong> Prof. David Jerison</p></div>Transcript: <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-2-limits/18-01F07-L02.pdf>PDF (English - US)</a><br>Subtitles: <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-2-limits/ocw-18.01-f07-lec02_300k.srt>SRT (English - US)</a><br>Thumbnail - <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-2-limits/lec02.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.01JF07_LEC01-07/ocw-18.01-f07-lec02_300k_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1877315077.01877315082.1875281722?i=1806963663>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1801f06_single_variable_calculus/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/ryLdyDrBfvI>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br> http://ocw.mit.edu/courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-2-limits Jerison, David 2007-07-24T06:30:40+05:00 en-US MIT OpenCourseWare http://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm <div class="vidpad"><p><strong>Topics covered:</strong> Derivatives, slope, velocity, rate of change</p> <p><strong>Instructor:</strong> Prof. David Jerison</p></div>Transcript: <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-3-derivatives/18-01F07-L03.pdf>PDF (English - US)</a><br>Subtitles: <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-3-derivatives/ocw-18.01-f07-lec03_300k.srt>SRT (English - US)</a><br>Thumbnail - <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-3-derivatives/lec03.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.01JF07_LEC01-07/ocw-18.01-f07-lec03_300k_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1877315077.01877315082.1868488111?i=1320509833>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1801f06_single_variable_calculus/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/kCPVBl953eY>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br> http://ocw.mit.edu/courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-3-derivatives Jerison, David 2007-07-24T06:30:40+05:00 en-US MIT OpenCourseWare http://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm <div class="vidpad"><p><strong>Topics covered:</strong> Chain rule - Higher derivatives</p> <p><strong>Instructor:</strong> Prof. David Jerison</p></div>Transcript: <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-4-chain-rule/18-01F07-L04.pdf>PDF (English - US)</a><br>Subtitles: <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-4-chain-rule/ocw-18.01-f07-lec04_300k.srt>SRT (English - US)</a><br>Thumbnail - <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-4-chain-rule/lec04.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.01JF07_LEC01-07/ocw-18.01-f07-lec04_300k_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1877315077.01877315082.1868094461?i=1446492627>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1801f06_single_variable_calculus/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/4sTKcvYMNxk>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br> http://ocw.mit.edu/courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-4-chain-rule Jerison, David 2007-07-24T06:30:40+05:00 en-US MIT OpenCourseWare http://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm <div class="vidpad"><p><strong>Topics covered:</strong>: Implicit differentiation, inverses</p> <p><strong>Instructor:</strong> Prof. David Jerison</p></div>Transcript: <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-5-implicit-differentiation/18-01F07-L05.pdf>PDF (English - US)</a><br>Subtitles: <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-5-implicit-differentiation/ocw-18.01-f07-lec05_300k.SRT>SRT (English - US)</a><br>Thumbnail - <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-5-implicit-differentiation/lec05.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.01JF07_LEC01-07/ocw-18.01-f07-lec05_300k_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1877315077.01877315082.1868274858?i=2139887498>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1801f06_single_variable_calculus/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/5q_3FDOkVRQ>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br> http://ocw.mit.edu/courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-5-implicit-differentiation Jerison, David 2007-07-24T06:30:40+05:00 en-US MIT OpenCourseWare http://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm <div class="vidpad"><p><strong>Topics covered:</strong> Exponential and log - Logarithmic differentiation; hyperbolic functions</p> <p>Note: More on &quot;exponents continued&quot; in lecture 7</p> <p><strong>Instructor:</strong> Prof. David Jerison</p></div>Transcript: <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-6-exponential-and-log/18-01F07-L06.pdf>PDF (English - US)</a><br>Subtitles: <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-6-exponential-and-log/ocw-18.01-f07-lec06_300k.srt>SRT (English - US)</a><br>Thumbnail - <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-6-exponential-and-log/lec06.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.01JF07_LEC01-07/ocw-18.01-f07-lec06_300k_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1877315077.01877315082.1868094479?i=1240351210>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1801f06_single_variable_calculus/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/9v25gg2qJYE>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br> http://ocw.mit.edu/courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-6-exponential-and-log Jerison, David 2007-07-24T06:30:40+05:00 en-US MIT OpenCourseWare http://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm <div class="vidpad"><p>N<em>ote: the review for the exam in lecture 7 is not comprehensive because the students already have practice exams available to them. There is no lecture 8 video because the exam was given during this session.</em></p><p><strong>Topics covered:</strong> Hyperbolic functions (cont.) and exam 1 review</p> <p><strong>Instructor:</strong> Prof. David Jerison</p></div>Transcript: <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-7-hyperbolic-functions/18-01F07-L07.pdf>PDF (English - US)</a><br>Subtitles: <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-7-hyperbolic-functions/ocw-18.01-f07-lec07_300k.srt>SRT (English - US)</a><br>Thumbnail - <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-7-hyperbolic-functions/lec07.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.01JF07_LEC01-07/ocw-18.01-f07-lec07_300k_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1877315077.01877315082.1867701783?i=1141728920>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1801f06_single_variable_calculus/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/eHJuAByQf5A>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br> http://ocw.mit.edu/courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-7-hyperbolic-functions Jerison, David 2007-07-24T06:30:40+05:00 en-US MIT OpenCourseWare http://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm <div class="vidpad"><p><strong>Topics covered:</strong> Linear and quadratic approximations</p> <p><strong>Instructor:</strong> Prof. David Jerison</p></div>Transcript: <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-9-linear-and-quadratic-approximations/18-01F07-L09.pdf>PDF (English - US)</a><br>Subtitles: <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-9-linear-and-quadratic-approximations/ocw-18.01-f07-lec09_300k.SRT>SRT (English - US)</a><br>Thumbnail - <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-9-linear-and-quadratic-approximations/lec09.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.01JF07_LEC09-12/ocw-18.01-f07-lec09_300k_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1877315077.01877315082.1941509122?i=1365495934>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1801f06_single_variable_calculus/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/BSAA0akmPEU>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br> http://ocw.mit.edu/courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-9-linear-and-quadratic-approximations Jerison, David 2007-07-24T06:30:40+05:00 en-US MIT OpenCourseWare http://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm <div class="vidpad"><p><strong>Topics covered:</strong> Curve sketching</p> <p><strong>Instructor:</strong> Prof. David Jerison</p></div>Transcript: <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-10-curve-sketching/18-01F07-L10.pdf>PDF (English - US)</a><br>Subtitles: <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-10-curve-sketching/ocw-18.01-f07-lec10_300k.SRT>SRT (English - US)</a><br>Thumbnail - <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-10-curve-sketching/lec10.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.01JF07_LEC09-12/ocw-18.01-f07-lec10_300k_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1877315077.01877315082.1935212259?i=1449181940>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1801f06_single_variable_calculus/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/eRCN3daFCmU>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br> http://ocw.mit.edu/courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-10-curve-sketching Jerison, David 2007-07-24T06:30:40+05:00 en-US MIT OpenCourseWare http://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm <div class="vidpad"><p><strong>Topics covered:</strong> Max-min problems</p> <p><strong>Instructor:</strong> Prof. David Jerison</p></div>Transcript: <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-11-max-min/18-01F07-L11.pdf>PDF (English - US)</a><br>Subtitles: <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-11-max-min/ocw-18.01-f07-lec11_300k.srt>SRT (English - US)</a><br>Thumbnail - <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-11-max-min/lec11.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.01JF07_LEC09-12/ocw-18.01-f07-lec11_300k_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1877315077.01877315082.1941509296?i=1536244526>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1801f06_single_variable_calculus/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/twzGBqPeW0M>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br> http://ocw.mit.edu/courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-11-max-min Jerison, David 2007-07-24T06:30:40+05:00 en-US MIT OpenCourseWare http://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm <div class="vidpad"><p><strong>Topics covered:</strong> Related rates</p> <p><strong>Instructor:</strong> Prof. David Jerison</p></div>Transcript: <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-12-related-rates/18-01F07-L12.pdf>PDF (English - US)</a><br>Subtitles: <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-12-related-rates/ocw-18.01-f07-lec12_300k.SRT>SRT (English - US)</a><br>Thumbnail - <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-12-related-rates/lec12.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.01JF07_LEC09-12/ocw-18.01-f07-lec12_300k_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1877315077.01877315082.1942015093?i=1575019529>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1801f06_single_variable_calculus/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/YN7k_bXXggY>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br> http://ocw.mit.edu/courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-12-related-rates Jerison, David 2007-07-24T06:30:40+05:00 en-US MIT OpenCourseWare http://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm <div class="vidpad"><p><strong>Topics covered:</strong> Newton's method and other applications</p> <p><strong>Instructor:</strong> Prof. David Jerison</p></div>Transcript: <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-13-newtons-method/18-01F07-L13.pdf>PDF (English - US)</a><br>Subtitles: <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-13-newtons-method/ocw-18.01-f07-lec13_300k.SRT>SRT (English - US)</a><br>Thumbnail - <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-13-newtons-method/lec13.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.01JF07_LEC013-16/ocw-18.01-f07-lec13_300k_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1877315077.01877315082.2043352963?i=1381226127>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1801f06_single_variable_calculus/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/sRIDVAcoG5A>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br> http://ocw.mit.edu/courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-13-newtons-method Jerison, David 2007-07-24T06:30:40+05:00 en-US MIT OpenCourseWare http://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm <div class="vidpad"><p><strong>Topics covered:</strong> Mean value theorem; Inequalities</p> <p><strong>Instructor:</strong> Prof. David Jerison</p></div>Transcript: <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-14-mean-value-theorem/18-01F07-L14.pdf>PDF (English - US)</a><br>Subtitles: <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-14-mean-value-theorem/ocw-18.01-f07-lec14_300k.SRT>SRT (English - US)</a><br>Thumbnail - <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-14-mean-value-theorem/lec14.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.01JF07_LEC013-16/ocw-18.01-f07-lec14_300k_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1877315077.01877315082.2043336303?i=1816661100>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1801f06_single_variable_calculus/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/4Q37iOyBq44>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br> http://ocw.mit.edu/courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-14-mean-value-theorem Jerison, David 2007-07-24T06:30:40+05:00 en-US MIT OpenCourseWare http://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm <div class="vidpad"><p><strong>Topics covered:</strong> Differentials, antiderivatives</p> <p><strong>Instructor:</strong> Prof. David Jerison</p></div>Transcript: <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-15-antiderivatives/18-01F07-L15.pdf>PDF (English - US)</a><br>Subtitles: <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-15-antiderivatives/ocw-18.01-f07-lec15_300k.SRT>SRT (English - US)</a><br>Thumbnail - <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-15-antiderivatives/lec15.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.01JF07_LEC013-16/ocw-18.01-f07-lec15_300k_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1877315077.01877315082.2043041294?i=1233189093>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1801f06_single_variable_calculus/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/-MI0b4h3rS0>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br> http://ocw.mit.edu/courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-15-antiderivatives Jerison, David 2007-07-24T06:30:40+05:00 en-US MIT OpenCourseWare http://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm <div class="vidpad"><p><em>Note: There is no video for lecture 17 because students took an exam during this session.</em></p><p><strong>Topics covered:</strong> Differential equations, separation of variables</p> <p><strong>Instructor:</strong> Prof. David Jerison</p></div>Transcript: <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-16-differential-equations/18-01F07-L16.pdf>PDF (English - US)</a><br>Subtitles: <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-16-differential-equations/ocw-18.01-f07-lec16_300k.SRT>SRT (English - US)</a><br>Thumbnail - <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-16-differential-equations/lec16.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.01JF07/ocw-18.01-f07-lec16_300k_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1877315077.01877315082.2293283156?i=1634673552>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1801f06_single_variable_calculus/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/60VGKnYBpbg>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br> http://ocw.mit.edu/courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-16-differential-equations Jerison, David 2007-07-24T06:30:40+05:00 en-US MIT OpenCourseWare http://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm <div class="vidpad"><p><strong>Topics covered:</strong> Definite integrals</p> <p><strong>Instructor:</strong> Prof. David Jerison</p></div>Transcript: <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-18-definite-integrals/18-01F07-L18.pdf>PDF (English - US)</a><br>Subtitles: <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-18-definite-integrals/ocw-18.01-f07-lec18_300k.SRT>SRT (English - US)</a><br>Thumbnail - <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-18-definite-integrals/lec18.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.01JF07/ocw-18.01-f07-lec18_300k_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1877315077.01877315082.2348249745?i=2129799649>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1801f06_single_variable_calculus/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/hjZhPczMkL4>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br> http://ocw.mit.edu/courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-18-definite-integrals Jerison, David 2007-07-24T06:30:40+05:00 en-US MIT OpenCourseWare http://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm <div class="vidpad"><p><strong>Topics covered:</strong> First fundamental theorem of calculus</p> <p><strong>Instructor:</strong> Prof. David Jerison</p></div>Transcript: <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-19-first-fundamental-theorem/18-01F07-L19.pdf>PDF (English - US)</a><br>Subtitles: <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-19-first-fundamental-theorem/ocw-18.01-f07-lec19_300k.SRT>SRT (English - US)</a><br>Thumbnail - <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-19-first-fundamental-theorem/lec19.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.01JF07/ocw-18.01-f07-lec19_300k_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1877315077.01877315082.2352262483?i=1740661202>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1801f06_single_variable_calculus/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/1RLctDS2hUQ>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br> http://ocw.mit.edu/courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-19-first-fundamental-theorem Jerison, David 2007-07-24T06:30:40+05:00 en-US MIT OpenCourseWare http://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm <div class="vidpad"><p><strong>Topics covered:</strong> Second fundamental theorem</p> <p><strong>Instructor:</strong> Prof. David Jerison</p></div>Transcript: <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-20-second-fundamental-theorem/18-01F07-L20.pdf>PDF (English - US)</a><br>Subtitles: <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-20-second-fundamental-theorem/ocw-18.01-f07-lec20_300k.SRT>SRT (English - US)</a><br>Thumbnail - <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-20-second-fundamental-theorem/lec20.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.01JF07/ocw-18.01-f07-lec20_300k_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1877315077.01877315082.2347054618?i=1994895757>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1801f06_single_variable_calculus/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/Pd2xP5zDsRw>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br> http://ocw.mit.edu/courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-20-second-fundamental-theorem Jerison, David 2007-07-24T06:30:40+05:00 en-US MIT OpenCourseWare http://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm <div class="vidpad"><p><strong>Topics covered:</strong> Applications to logarithms and geometry</p> <p><strong>Instructor:</strong> Prof. David Jerison</p></div>Transcript: <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-21-applications-to-logarithms/18-01F07-L21.pdf>PDF (English - US)</a><br>Subtitles: <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-21-applications-to-logarithms/ocw-18.01-f07-lec21_300k.SRT>SRT (English - US)</a><br>Thumbnail - <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-21-applications-to-logarithms/lec21.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.01JF07/ocw-18.01-f07-lec21_300k_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1877315077.01877315082.2348707863?i=1154314057>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1801f06_single_variable_calculus/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/_JXPe2J069c>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br> http://ocw.mit.edu/courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-21-applications-to-logarithms Jerison, David 2007-07-24T06:30:40+05:00 en-US MIT OpenCourseWare http://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm <div class="vidpad"><p><strong>Topics covered:</strong> Volumes by disks and shells</p> <p><strong>Instructor:</strong> Prof. David Jerison</p></div>Transcript: <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-22-volumes/18-01F07-L22.pdf>PDF (English - US)</a><br>Subtitles: <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-22-volumes/ocw-18.01-f07-lec22_300k.SRT>SRT (English - US)</a><br>Thumbnail - <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-22-volumes/lec22.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.01JF07/ocw-18.01-f07-lec22_300k_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1877315077.01877315082.2367688406?i=1453580217>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1801f06_single_variable_calculus/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/ShGBRUx2ub8>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br> http://ocw.mit.edu/courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-22-volumes Jerison, David 2007-07-24T06:30:40+05:00 en-US MIT OpenCourseWare http://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm <div class="vidpad"><p><strong>Topics covered:</strong> Work, average value, probability</p> <p><strong>Instructor:</strong> Prof. David Jerison</p></div>Transcript: <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-23-work/18-01F07-L23.pdf>PDF (English - US)</a><br>Subtitles: <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-23-work/ocw-18.01-f07-lec23_300k.SRT>SRT (English - US)</a><br>Thumbnail - <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-23-work/lec23.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.01JF07/ocw-18.01-f07-lec23_300k_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1877315077.01877315082.2368736817?i=1425464427>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1801f06_single_variable_calculus/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/R9a_NHXrBcg>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br> http://ocw.mit.edu/courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-23-work Jerison, David 2007-07-24T06:30:40+05:00 en-US MIT OpenCourseWare http://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm <div class="vidpad"><p><strong>Topics covered:</strong> Numerical integration</p> <p><strong>Instructor:</strong> Prof. David Jerison</p></div>Transcript: <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-24-numerical-integration/18-01F07-L24.pdf>PDF (English - US)</a><br>Subtitles: <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-24-numerical-integration/ocw-18.01-f07-lec24_300k.SRT>SRT (English - US)</a><br>Thumbnail - <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-24-numerical-integration/lec24.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.01JF07/ocw-18.01-f07-lec24_300k_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1877315077.01877315082.2348707885?i=1930358409>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1801f06_single_variable_calculus/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/jBkXbAgMj6s>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br> http://ocw.mit.edu/courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-24-numerical-integration Jerison, David 2007-07-24T06:30:40+05:00 en-US MIT OpenCourseWare http://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm <div class="vidpad"><p><em>Note: Lecture 26 was an exam session. No video was recorded.</em></p><p><strong>Topics covered:</strong> Exam 3 review</p> <p><strong>Instructor:</strong> Prof. David Jerison</p></div>Transcript: <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-25-exam-review/18-01F07-L25.pdf>PDF (English - US)</a><br>Subtitles: <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-25-exam-review/ocw-18.01-f07-lec25_300k.SRT>SRT (English - US)</a><br>Thumbnail - <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-25-exam-review/lec25.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.01JF07/ocw-18.01-f07-lec25_300k_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1877315077.01877315082.2368736832?i=1667924814>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1801f06_single_variable_calculus/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/zUEuKrxgHws>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br> http://ocw.mit.edu/courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-25-exam-review Jerison, David 2007-07-24T06:30:40+05:00 en-US MIT OpenCourseWare http://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm <div class="vidpad"><p><strong>Topics covered:</strong> Trigonometric integrals and substitution</p> <p>Note: This video lecture was recorded in the Fall of 2007 and corresponds to the lecture notes for lecture 26 taught in the Fall of 2006.</p> <p><strong>Instructor:</strong> Prof. David Jerison</p></div>Transcript: <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-27-trig-integrals/18-01F07-L27.pdf>PDF (English - US)</a><br>Subtitles: <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-27-trig-integrals/ocw-18.01-f07-lec27_300k.SRT>SRT (English - US)</a><br>Thumbnail - <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-27-trig-integrals/lec27.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.01JF07/ocw-18.01-f07-lec27_300k_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1877315077.01877315082.2465367205?i=1533017648>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1801f06_single_variable_calculus/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/Bv9kVDcj7yo>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br> http://ocw.mit.edu/courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-27-trig-integrals Jerison, David 2007-07-24T06:30:40+05:00 en-US MIT OpenCourseWare http://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm <div class="vidpad"><p><strong>Topics covered:</strong> Integration by inverse substitution; completing the square</p> <p><strong>Instructor:</strong> Prof. David Jerison</p></div>Transcript: <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-28-inverse-substitution/18-01F07-L28.pdf>PDF (English - US)</a><br>Subtitles: <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-28-inverse-substitution/ocw-18.01-f07-lec28_300k.SRT>SRT (English - US)</a><br>Thumbnail - <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-28-inverse-substitution/lec28.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.01JF07/ocw-18.01-f07-lec28_300k_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1877315077.01877315082.2469020313?i=2078968637>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1801f06_single_variable_calculus/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/CXKoCMVqM9s>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br> http://ocw.mit.edu/courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-28-inverse-substitution Jerison, David 2007-07-24T06:30:40+05:00 en-US MIT OpenCourseWare http://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm <div class="vidpad"><p><strong>Topics covered:</strong> Partial fractions</p> <p><strong>Instructor:</strong> Prof. David Jerison</p></div>Transcript: <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-29-partial-fractions/18-01F07-L29.pdf>PDF (English - US)</a><br>Subtitles: <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-29-partial-fractions/ocw-18.01-f07-lec29_300k.SRT>SRT (English - US)</a><br>Thumbnail - <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-29-partial-fractions/lec29.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.01JF07/ocw-18.01-f07-lec29_300k_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1877315077.01877315082.2469020334?i=1996270915>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1801f06_single_variable_calculus/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/HgEqXhsIq_g>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br> http://ocw.mit.edu/courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-29-partial-fractions Jerison, David 2007-07-24T06:30:40+05:00 en-US MIT OpenCourseWare http://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm <div class="vidpad"><p><strong>Topics covered:</strong> Integration by parts, reduction formulae</p> <p><strong>Instructor:</strong> Prof. David Jerison</p></div>Transcript: <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-30-integration-by-parts/18-01F07-L30.pdf>PDF (English - US)</a><br>Subtitles: <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-30-integration-by-parts/ocw-18.01-f07-lec30_300k.SRT>SRT (English - US)</a><br>Thumbnail - <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-30-integration-by-parts/lec30.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.01JF07/ocw-18.01-f07-lec30_300k_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1877315077.01877315082.2466366665?i=1898289868>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1801f06_single_variable_calculus/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/aeXp1zC6Hls>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br> http://ocw.mit.edu/courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-30-integration-by-parts Jerison, David 2007-07-24T06:30:40+05:00 en-US MIT OpenCourseWare http://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm <div class="vidpad"><p><strong>Topics covered:</strong> Parametric equations, arclength, surface area</p> <p><strong>Instructor:</strong> Prof. David Jerison</p></div>Transcript: <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-31-parametric-equations/18-01F07-L31.pdf>PDF (English - US)</a><br>Subtitles: <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-31-parametric-equations/ocw-18.01-f07-lec31_300k.SRT>SRT (English - US)</a><br>Thumbnail - <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-31-parametric-equations/lec31.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.01JF07/ocw-18.01-f07-lec31_300k_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1877315077.01877315082.2466841757?i=1647521234>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1801f06_single_variable_calculus/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/TpWQlKHPyJ4>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br> http://ocw.mit.edu/courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-31-parametric-equations Jerison, David 2007-07-24T06:30:40+05:00 en-US MIT OpenCourseWare http://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm <div class="vidpad"><p><strong>Topics covered:</strong> Polar coordinates; area in polar coordinates</p> <p><strong>Instructor:</strong> Prof. David Jerison</p></div>Transcript: <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-32-polar-coordinates/18-01F07-L32.pdf>PDF (English - US)</a><br>Subtitles: <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-32-polar-coordinates/ocw-18.01-f07-lec32_300k.SRT>SRT (English - US)</a><br>Thumbnail - <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-32-polar-coordinates/lec32.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.01JF07/ocw-18.01-f07-lec32_300k_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1877315077.01877315082.2464498868?i=1247725259>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1801f06_single_variable_calculus/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/XRkgBWbWvg4>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br> http://ocw.mit.edu/courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-32-polar-coordinates Jerison, David 2007-07-24T06:30:40+05:00 en-US MIT OpenCourseWare http://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm <div class="vidpad"><p><em>Note: Lecture 34 was an exam session. No video was recorded.</em></p><p><strong>Topics covered:</strong> Exam 4 review</p> <p><strong>Instructor:</strong> Prof. David Jerison</p></div>Transcript: <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-33-exam-4-review/18-01F07-L33.pdf>PDF (English - US)</a><br>Subtitles: <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-33-exam-4-review/ocw-18.01-f07-lec33_300k.SRT>SRT (English - US)</a><br>Thumbnail - <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-33-exam-4-review/lec33.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.01JF07/ocw-18.01-f07-lec33_300k_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1877315077.01877315082.2466825421?i=1777608291>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1801f06_single_variable_calculus/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/BGE3wb7H2PA>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br> http://ocw.mit.edu/courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-33-exam-4-review Jerison, David 2007-07-24T06:30:40+05:00 en-US MIT OpenCourseWare http://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm <div class="vidpad"><p><strong>Topics covered:</strong> Indeterminate forms - L'Hôspital's rule</p> <p>Note: This video lecture was recorded in the Fall of 2007 and corresponds to the lecture notes for lecture 34 taught in the Fall of 2006.</p> <p><strong>Instructor:</strong> Prof. David Jerison</p></div>Transcript: <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-35-indeterminate-forms/18-01F07-L35.pdf>PDF (English - US)</a><br>Subtitles: <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-35-indeterminate-forms/ocw-18.01-f07-lec35_300k.SRT>SRT (English - US)</a><br>Thumbnail - <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-35-indeterminate-forms/lec35.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.01JF07/ocw-18.01-f07-lec35_300k_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1877315077.01877315082.2463565051?i=1862857967>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1801f06_single_variable_calculus/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/PNTnmH6jsRI>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br> http://ocw.mit.edu/courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-35-indeterminate-forms Jerison, David 2007-07-24T06:30:40+05:00 en-US MIT OpenCourseWare http://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm <div class="vidpad"><p><strong>Topics covered:</strong> Improper integrals</p> <p>Note: This video lecture was recorded in the Fall of 2007 and corresponds to the lecture notes for lecture 35 taught in the Fall of 2006.</p> <p><strong>Instructor:</strong> Prof. David Jerison</p></div>Transcript: <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-36-improper-integrals/18-01F07-L36.pdf>PDF (English - US)</a><br>Subtitles: <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-36-improper-integrals/ocw-18.01-f07-lec36_300k.SRT>SRT (English - US)</a><br>Thumbnail - <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-36-improper-integrals/lec36.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.01JF07/ocw-18.01-f07-lec36_300k_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1877315077.01877315082.2462680302?i=1517372937>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1801f06_single_variable_calculus/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/KhwQKE_tld0>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br> http://ocw.mit.edu/courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-36-improper-integrals Jerison, David 2007-07-24T06:30:40+05:00 en-US MIT OpenCourseWare http://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm <div class="vidpad"><p><strong>Topics covered:</strong> Infinite series and convergence tests</p> <p>Note: This video lecture was recorded in the Fall of 2007 and corresponds to the lecture notes for lecture 36 taught in the Fall of 2006.</p> <p><strong>Instructor:</strong> Prof. David Jerison</p></div>Thumbnail - <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-37-infinite-series/lec37.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.01JF07/ocw-18.01-f07-lec37_300k_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1877315077.01877315082.2469036818?i=1104871361>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1801f06_single_variable_calculus/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/MK_0QHbUnIA>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br> http://ocw.mit.edu/courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-37-infinite-series Jerison, David 2007-07-24T06:30:40+05:00 en-US MIT OpenCourseWare http://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm <div class="vidpad"><p><strong>Topics covered:</strong> Taylor's series</p> <p>Note: This video lecture was recorded in the Fall of 2007 and corresponds to the lecture notes for lecture 37 taught in the Fall of 2006.</p> <p><strong>Instructor:</strong> Prof. David Jerison</p></div>Thumbnail - <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-38-taylors-series/lec38.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.01JF07/ocw-18.01-f07-lec38_300k_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1877315077.01877315082.2469020398?i=1141761607>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1801f06_single_variable_calculus/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/wOHrNt9ScYs>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br> http://ocw.mit.edu/courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-38-taylors-series Jerison, David 2007-07-24T06:30:40+05:00 en-US MIT OpenCourseWare http://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm <div class="vidpad"><p><strong>Topics covered:</strong> Final review</p> <p>Note: This video lecture was recorded in the Fall of 2007 and corresponds to the lecture notes for lecture 38 taught in the Fall of 2006.</p> <p><strong>Instructor:</strong> Prof. David Jerison</p></div>Thumbnail - <a href= /courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-39-final-review/lec39.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MIT18.01JF07/ocw-18.01-f07-lec39_300k_512kb.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://deimos3.apple.com/WebObjects/Core.woa/Browse/mit.edu.1877315077.01877315082.2465367293?i=1653200549>iTunes U (MP4)</a><br>Video - stream: <a href= http://videolectures.net/mit1801f06_single_variable_calculus/>VideoLectures.net </a><br>Video - stream: <a href= http://www.youtube.com/v/--lPz7VFnKI>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br> http://ocw.mit.edu/courses/mathematics/18-01-single-variable-calculus-fall-2006/video-lectures/lecture-39-final-review Jerison, David 2007-07-24T06:30:40+05:00 en-US MIT OpenCourseWare http://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm