<div class="xblock xblock-public_view xblock-public_view-vertical" data-runtime-class="LmsRuntime" data-course-id="course-v1:MITx+15.053x+3T2016" data-block-type="vertical" data-usage-id="block-v1:MITx+15.053x+3T2016+type@vertical+block@e6c305b030274db08d9e7d626f172626" data-init="VerticalStudentView" data-graded="False" data-has-score="False" data-runtime-version="1" data-request-token="507ff91e52d211ecaa040e4dd6e8f3e3">
<h2 class="hd hd-2 unit-title">Slides</h2>
<div class="vert-mod">
<div class="vert vert-0" data-id="block-v1:MITx+15.053x+3T2016+type@html+block@3affd53fe0ab4741a00365ff9f53ed0f">
<div class="xblock xblock-public_view xblock-public_view-html xmodule_display xmodule_HtmlBlock" data-runtime-class="LmsRuntime" data-course-id="course-v1:MITx+15.053x+3T2016" data-block-type="html" data-usage-id="block-v1:MITx+15.053x+3T2016+type@html+block@3affd53fe0ab4741a00365ff9f53ed0f" data-init="XBlockToXModuleShim" data-graded="False" data-has-score="False" data-runtime-version="1" data-request-token="507ff91e52d211ecaa040e4dd6e8f3e3">
<script type="json/xblock-args" class="xblock-json-init-args">
{"xmodule-type": "HTMLModule"}
</script>
<p><i>Slides available <a class="modal-content" href="/assets/courseware/v1/8f948347da24c73f8290de31b02d6071/asset-v1:MITx+15.053x+3T2016+type@asset+block/15.053xR1.pdf"> here</a></i> </p>
</div>
</div>
</div>
</div>
<div class="xblock xblock-public_view xblock-public_view-vertical" data-runtime-class="LmsRuntime" data-course-id="course-v1:MITx+15.053x+3T2016" data-block-type="vertical" data-usage-id="block-v1:MITx+15.053x+3T2016+type@vertical+block@5c10f254ff554066bd1c18bb58fffb1e" data-init="VerticalStudentView" data-graded="False" data-has-score="False" data-runtime-version="1" data-request-token="507ff91e52d211ecaa040e4dd6e8f3e3">
<h2 class="hd hd-2 unit-title">Linear Programming Reformulations</h2>
<div class="vert-mod">
<div class="vert vert-0" data-id="block-v1:MITx+15.053x+3T2016+type@video+block@4b92854e28494146940113920a6f21df">
<div class="xblock xblock-public_view xblock-public_view-video xmodule_display xmodule_VideoBlock" data-runtime-class="LmsRuntime" data-course-id="course-v1:MITx+15.053x+3T2016" data-block-type="video" data-usage-id="block-v1:MITx+15.053x+3T2016+type@video+block@4b92854e28494146940113920a6f21df" data-init="XBlockToXModuleShim" data-graded="False" data-has-score="False" data-runtime-version="1" data-request-token="507ff91e52d211ecaa040e4dd6e8f3e3">
<script type="json/xblock-args" class="xblock-json-init-args">
{"xmodule-type": "Video"}
</script>
<h3 class="hd hd-2">Linear Programming Reformulations</h3>
<div
id="video_4b92854e28494146940113920a6f21df"
class="video closed"
data-metadata='{"generalSpeed": 1.0, "savedVideoPosition": 0.0, "duration": 240.07, "speed": null, "autohideHtml5": false, "poster": "https://mitx-edx-video-meta-storage.s3.amazonaws.com/media/video-images/2341fa27c65b41f488f49f75acc98c1b.jpeg?AWSAccessKeyId=ASIA4QDFFSURZ3D5NOXK&Expires=1638382680&x-amz-security-token=IQoJb3JpZ2luX2VjEEIaCXVzLWVhc3QtMSJIMEYCIQC5dqML3u3HrMJR0L3JKoWwcjJhHrdLShrdsqQ7odiuaQIhAP13gQRvGHD44jAxDeol%2FLX9iUHeqkhZfOx90GzOIE9lKvoDCBsQAhoMODU5MjA1NjM3NDExIgwpyXs4Omxh%2FOmp7xoq1wO5oxy57qPP9D9SGgEmNbhbjIYUl%2BpSLRCDy33d99zk6QrvrWalTUnMmC0qD4SolgeZhZ0k7R5HchvYrO64QbCNtB20hXURexetrmUKZtoxDfxND2O0Hya3hJYTG2wwQztWWjv1IccKCVnmY%2FjSqSbgd9KjMVfl0OarbM%2BNTbGlyfRdgoC9q08egVhhPAvVEjvGbOEmMXHcEc5LzgbXq%2F2U6c%2BmjIDok1UFoRiQO%2BlhmhXWqz54xcRsUr%2FqU87lT9J%2F2uBOk7LAz%2FAHFoNLXCwmIMKrbaeg46yZy08q1FmgBq8X1rScApVpRu%2BtTK0p5Tj%2Bp8kh64eR6zMMrBFRkq0nMVc0z7Ey1NCkjF%2FDlf67j7qKUmyXNR4PrmUavkMM9MwI26Vli0dq1kSfXW0yyw04kmU7bQWmnIqtS4Kmx%2FuS9pjiwxqEm7mK3%2Fg5Z%2FPDXir%2Fzo72Ttd6Xh2Z%2B1HzstrTsTs07mCoj0aU19b%2FnZZpCelPJmy3RcCPmb6jxQYO7Sl3IAd5meSMXL4g06Q7gNXUYvh1M4ZCOrmx%2FGiezLcRQNmzFoxli6Di%2F0OlHao6QRDp7iCheskoNFrbUIQKumLpXtKpJ73q3LW26lnE4F3ChkcIXqsgAgsw%2Ft%2BejQY6pAFLggSNf02k1dDYPGApD%2FCmhnzJ7QESTiY9QelwvmN1gfE6h6igAt351OB9%2FM1RNmzgStbbZ4wZ90kIlb8rs4nMCyj%2FDTYNPppp0Q%2Bv53mpBUuLBL%2B1CPIJUTPndJrc5s5%2FF%2BEV%2B90Qf%2BNAtwCWAwmDMHxJoSgb%2FrV6uklJcieOYt4I31%2BoJoszqqijflaHy6vcjkGMR0EERZDGfkbH42AevMPwAQ%3D%3D&Signature=igsgPKqA4gAwp0TRtmEwEgiuT%2Fk%3D", "autoplay": false, "recordedYoutubeIsAvailable": true, "ytTestTimeout": 1500, "transcriptAvailableTranslationsUrl": "/courses/course-v1:MITx+15.053x+3T2016/xblock/block-v1:MITx+15.053x+3T2016+type@video+block@4b92854e28494146940113920a6f21df/handler/transcript/available_translations", "captionDataDir": null, "completionEnabled": false, "completionPercentage": 0.95, "transcriptLanguages": {"en": "English"}, "saveStateUrl": "/courses/course-v1:MITx+15.053x+3T2016/xblock/block-v1:MITx+15.053x+3T2016+type@video+block@4b92854e28494146940113920a6f21df/handler/xmodule_handler/save_user_state", "autoAdvance": false, "transcriptLanguage": "en", "sources": ["https://d2f1egay8yehza.cloudfront.net/MIT150532016-V009200_DTH.mp4", "https://d2f1egay8yehza.cloudfront.net/MIT150532016-V009200/MIT150532016-V009200.m3u8"], "showCaptions": "true", "lmsRootURL": "https://openlearninglibrary.mit.edu", "prioritizeHls": false, "start": 0.0, "end": 0.0, "ytMetadataEndpoint": "", "publishCompletionUrl": "/courses/course-v1:MITx+15.053x+3T2016/xblock/block-v1:MITx+15.053x+3T2016+type@video+block@4b92854e28494146940113920a6f21df/handler/publish_completion", "ytApiUrl": "https://www.youtube.com/iframe_api", "saveStateEnabled": false, "transcriptTranslationUrl": "/courses/course-v1:MITx+15.053x+3T2016/xblock/block-v1:MITx+15.053x+3T2016+type@video+block@4b92854e28494146940113920a6f21df/handler/transcript/translation/__lang__", "streams": "1.00:nqg0Mm6i20M"}'
data-bumper-metadata='null'
data-autoadvance-enabled="False"
data-poster='null'
tabindex="-1"
>
<div class="focus_grabber first"></div>
<div class="tc-wrapper">
<div class="video-wrapper">
<span tabindex="0" class="spinner" aria-hidden="false" aria-label="Loading video player"></span>
<span tabindex="-1" class="btn-play fa fa-youtube-play fa-2x is-hidden" aria-hidden="true" aria-label="Play video"></span>
<div class="video-player-pre"></div>
<div class="video-player">
<div id="4b92854e28494146940113920a6f21df"></div>
<h4 class="hd hd-4 video-error is-hidden">No playable video sources found.</h4>
<h4 class="hd hd-4 video-hls-error is-hidden">
Your browser does not support this video format. Try using a different browser.
</h4>
</div>
<div class="video-player-post"></div>
<div class="closed-captions"></div>
<div class="video-controls is-hidden">
<div>
<div class="vcr"><div class="vidtime">0:00 / 0:00</div></div>
<div class="secondary-controls"></div>
</div>
</div>
</div>
</div>
<div class="focus_grabber last"></div>
<h3 class="hd hd-4 downloads-heading sr" id="video-download-transcripts_4b92854e28494146940113920a6f21df">Downloads and transcripts</h3>
<div class="wrapper-downloads" role="region" aria-labelledby="video-download-transcripts_4b92854e28494146940113920a6f21df">
<div class="wrapper-download-transcripts">
<h4 class="hd hd-5">Transcripts</h4>
<ul class="list-download-transcripts">
<li class="transcript-option">
<a class="btn btn-link" href="/courses/course-v1:MITx+15.053x+3T2016/xblock/block-v1:MITx+15.053x+3T2016+type@video+block@4b92854e28494146940113920a6f21df/handler/transcript/download" data-value="srt">Download SubRip (.srt) file</a>
</li>
<li class="transcript-option">
<a class="btn btn-link" href="/courses/course-v1:MITx+15.053x+3T2016/xblock/block-v1:MITx+15.053x+3T2016+type@video+block@4b92854e28494146940113920a6f21df/handler/transcript/download" data-value="txt">Download Text (.txt) file</a>
</li>
</ul>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="xblock xblock-public_view xblock-public_view-vertical" data-runtime-class="LmsRuntime" data-course-id="course-v1:MITx+15.053x+3T2016" data-block-type="vertical" data-usage-id="block-v1:MITx+15.053x+3T2016+type@vertical+block@b2031f0dccac445d9c931c08c8f642b7" data-init="VerticalStudentView" data-graded="False" data-has-score="False" data-runtime-version="1" data-request-token="507ff91e52d211ecaa040e4dd6e8f3e3">
<h2 class="hd hd-2 unit-title">Algebraic Formulations</h2>
<div class="vert-mod">
<div class="vert vert-0" data-id="block-v1:MITx+15.053x+3T2016+type@video+block@c27e67890acd4c6bb945e2ce6a13ed12">
<div class="xblock xblock-public_view xblock-public_view-video xmodule_display xmodule_VideoBlock" data-runtime-class="LmsRuntime" data-course-id="course-v1:MITx+15.053x+3T2016" data-block-type="video" data-usage-id="block-v1:MITx+15.053x+3T2016+type@video+block@c27e67890acd4c6bb945e2ce6a13ed12" data-init="XBlockToXModuleShim" data-graded="False" data-has-score="False" data-runtime-version="1" data-request-token="507ff91e52d211ecaa040e4dd6e8f3e3">
<script type="json/xblock-args" class="xblock-json-init-args">
{"xmodule-type": "Video"}
</script>
<h3 class="hd hd-2">Algebraic Formulations</h3>
<div
id="video_c27e67890acd4c6bb945e2ce6a13ed12"
class="video closed"
data-metadata='{"generalSpeed": 1.0, "savedVideoPosition": 0.0, "duration": 134.23, "speed": null, "autohideHtml5": false, "poster": "https://mitx-edx-video-meta-storage.s3.amazonaws.com/media/video-images/e5b2cb0f94a34d3f8f23cc93d5a24b97.jpeg?AWSAccessKeyId=ASIA4QDFFSURZ3D5NOXK&Expires=1638382680&x-amz-security-token=IQoJb3JpZ2luX2VjEEIaCXVzLWVhc3QtMSJIMEYCIQC5dqML3u3HrMJR0L3JKoWwcjJhHrdLShrdsqQ7odiuaQIhAP13gQRvGHD44jAxDeol%2FLX9iUHeqkhZfOx90GzOIE9lKvoDCBsQAhoMODU5MjA1NjM3NDExIgwpyXs4Omxh%2FOmp7xoq1wO5oxy57qPP9D9SGgEmNbhbjIYUl%2BpSLRCDy33d99zk6QrvrWalTUnMmC0qD4SolgeZhZ0k7R5HchvYrO64QbCNtB20hXURexetrmUKZtoxDfxND2O0Hya3hJYTG2wwQztWWjv1IccKCVnmY%2FjSqSbgd9KjMVfl0OarbM%2BNTbGlyfRdgoC9q08egVhhPAvVEjvGbOEmMXHcEc5LzgbXq%2F2U6c%2BmjIDok1UFoRiQO%2BlhmhXWqz54xcRsUr%2FqU87lT9J%2F2uBOk7LAz%2FAHFoNLXCwmIMKrbaeg46yZy08q1FmgBq8X1rScApVpRu%2BtTK0p5Tj%2Bp8kh64eR6zMMrBFRkq0nMVc0z7Ey1NCkjF%2FDlf67j7qKUmyXNR4PrmUavkMM9MwI26Vli0dq1kSfXW0yyw04kmU7bQWmnIqtS4Kmx%2FuS9pjiwxqEm7mK3%2Fg5Z%2FPDXir%2Fzo72Ttd6Xh2Z%2B1HzstrTsTs07mCoj0aU19b%2FnZZpCelPJmy3RcCPmb6jxQYO7Sl3IAd5meSMXL4g06Q7gNXUYvh1M4ZCOrmx%2FGiezLcRQNmzFoxli6Di%2F0OlHao6QRDp7iCheskoNFrbUIQKumLpXtKpJ73q3LW26lnE4F3ChkcIXqsgAgsw%2Ft%2BejQY6pAFLggSNf02k1dDYPGApD%2FCmhnzJ7QESTiY9QelwvmN1gfE6h6igAt351OB9%2FM1RNmzgStbbZ4wZ90kIlb8rs4nMCyj%2FDTYNPppp0Q%2Bv53mpBUuLBL%2B1CPIJUTPndJrc5s5%2FF%2BEV%2B90Qf%2BNAtwCWAwmDMHxJoSgb%2FrV6uklJcieOYt4I31%2BoJoszqqijflaHy6vcjkGMR0EERZDGfkbH42AevMPwAQ%3D%3D&Signature=vkCoBT5Trrow0XgNufRnHKrQEPs%3D", "autoplay": false, "recordedYoutubeIsAvailable": true, "ytTestTimeout": 1500, "transcriptAvailableTranslationsUrl": "/courses/course-v1:MITx+15.053x+3T2016/xblock/block-v1:MITx+15.053x+3T2016+type@video+block@c27e67890acd4c6bb945e2ce6a13ed12/handler/transcript/available_translations", "captionDataDir": null, "completionEnabled": false, "completionPercentage": 0.95, "transcriptLanguages": {"en": "English"}, "saveStateUrl": "/courses/course-v1:MITx+15.053x+3T2016/xblock/block-v1:MITx+15.053x+3T2016+type@video+block@c27e67890acd4c6bb945e2ce6a13ed12/handler/xmodule_handler/save_user_state", "autoAdvance": false, "transcriptLanguage": "en", "sources": ["https://d2f1egay8yehza.cloudfront.net/MIT150532016-V009500_DTH.mp4", "https://d2f1egay8yehza.cloudfront.net/MIT150532016-V009500/MIT150532016-V009500.m3u8"], "showCaptions": "true", "lmsRootURL": "https://openlearninglibrary.mit.edu", "prioritizeHls": false, "start": 0.0, "end": 0.0, "ytMetadataEndpoint": "", "publishCompletionUrl": "/courses/course-v1:MITx+15.053x+3T2016/xblock/block-v1:MITx+15.053x+3T2016+type@video+block@c27e67890acd4c6bb945e2ce6a13ed12/handler/publish_completion", "ytApiUrl": "https://www.youtube.com/iframe_api", "saveStateEnabled": false, "transcriptTranslationUrl": "/courses/course-v1:MITx+15.053x+3T2016/xblock/block-v1:MITx+15.053x+3T2016+type@video+block@c27e67890acd4c6bb945e2ce6a13ed12/handler/transcript/translation/__lang__", "streams": "1.00:BxhooRkw7wA"}'
data-bumper-metadata='null'
data-autoadvance-enabled="False"
data-poster='null'
tabindex="-1"
>
<div class="focus_grabber first"></div>
<div class="tc-wrapper">
<div class="video-wrapper">
<span tabindex="0" class="spinner" aria-hidden="false" aria-label="Loading video player"></span>
<span tabindex="-1" class="btn-play fa fa-youtube-play fa-2x is-hidden" aria-hidden="true" aria-label="Play video"></span>
<div class="video-player-pre"></div>
<div class="video-player">
<div id="c27e67890acd4c6bb945e2ce6a13ed12"></div>
<h4 class="hd hd-4 video-error is-hidden">No playable video sources found.</h4>
<h4 class="hd hd-4 video-hls-error is-hidden">
Your browser does not support this video format. Try using a different browser.
</h4>
</div>
<div class="video-player-post"></div>
<div class="closed-captions"></div>
<div class="video-controls is-hidden">
<div>
<div class="vcr"><div class="vidtime">0:00 / 0:00</div></div>
<div class="secondary-controls"></div>
</div>
</div>
</div>
</div>
<div class="focus_grabber last"></div>
<h3 class="hd hd-4 downloads-heading sr" id="video-download-transcripts_c27e67890acd4c6bb945e2ce6a13ed12">Downloads and transcripts</h3>
<div class="wrapper-downloads" role="region" aria-labelledby="video-download-transcripts_c27e67890acd4c6bb945e2ce6a13ed12">
<div class="wrapper-download-transcripts">
<h4 class="hd hd-5">Transcripts</h4>
<ul class="list-download-transcripts">
<li class="transcript-option">
<a class="btn btn-link" href="/courses/course-v1:MITx+15.053x+3T2016/xblock/block-v1:MITx+15.053x+3T2016+type@video+block@c27e67890acd4c6bb945e2ce6a13ed12/handler/transcript/download" data-value="srt">Download SubRip (.srt) file</a>
</li>
<li class="transcript-option">
<a class="btn btn-link" href="/courses/course-v1:MITx+15.053x+3T2016/xblock/block-v1:MITx+15.053x+3T2016+type@video+block@c27e67890acd4c6bb945e2ce6a13ed12/handler/transcript/download" data-value="txt">Download Text (.txt) file</a>
</li>
</ul>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="xblock xblock-public_view xblock-public_view-vertical" data-runtime-class="LmsRuntime" data-course-id="course-v1:MITx+15.053x+3T2016" data-block-type="vertical" data-usage-id="block-v1:MITx+15.053x+3T2016+type@vertical+block@5de425ed72584aec9f4e3824c2585043" data-init="VerticalStudentView" data-graded="False" data-has-score="False" data-runtime-version="1" data-request-token="507ff91e52d211ecaa040e4dd6e8f3e3">
<h2 class="hd hd-2 unit-title">Algebraic Formulations II</h2>
<div class="vert-mod">
<div class="vert vert-0" data-id="block-v1:MITx+15.053x+3T2016+type@video+block@a26a6dc188fa4ca09bafeed37a4424ad">
<div class="xblock xblock-public_view xblock-public_view-video xmodule_display xmodule_VideoBlock" data-runtime-class="LmsRuntime" data-course-id="course-v1:MITx+15.053x+3T2016" data-block-type="video" data-usage-id="block-v1:MITx+15.053x+3T2016+type@video+block@a26a6dc188fa4ca09bafeed37a4424ad" data-init="XBlockToXModuleShim" data-graded="False" data-has-score="False" data-runtime-version="1" data-request-token="507ff91e52d211ecaa040e4dd6e8f3e3">
<script type="json/xblock-args" class="xblock-json-init-args">
{"xmodule-type": "Video"}
</script>
<h3 class="hd hd-2">Algebraic Formulations II </h3>
<div
id="video_a26a6dc188fa4ca09bafeed37a4424ad"
class="video closed"
data-metadata='{"generalSpeed": 1.0, "savedVideoPosition": 0.0, "duration": 122.93, "speed": null, "autohideHtml5": false, "poster": "https://mitx-edx-video-meta-storage.s3.amazonaws.com/media/video-images/817635eca9aa40cf9ca9c3dd875e0f3a.jpeg?AWSAccessKeyId=ASIA4QDFFSURZ3D5NOXK&Expires=1638382680&x-amz-security-token=IQoJb3JpZ2luX2VjEEIaCXVzLWVhc3QtMSJIMEYCIQC5dqML3u3HrMJR0L3JKoWwcjJhHrdLShrdsqQ7odiuaQIhAP13gQRvGHD44jAxDeol%2FLX9iUHeqkhZfOx90GzOIE9lKvoDCBsQAhoMODU5MjA1NjM3NDExIgwpyXs4Omxh%2FOmp7xoq1wO5oxy57qPP9D9SGgEmNbhbjIYUl%2BpSLRCDy33d99zk6QrvrWalTUnMmC0qD4SolgeZhZ0k7R5HchvYrO64QbCNtB20hXURexetrmUKZtoxDfxND2O0Hya3hJYTG2wwQztWWjv1IccKCVnmY%2FjSqSbgd9KjMVfl0OarbM%2BNTbGlyfRdgoC9q08egVhhPAvVEjvGbOEmMXHcEc5LzgbXq%2F2U6c%2BmjIDok1UFoRiQO%2BlhmhXWqz54xcRsUr%2FqU87lT9J%2F2uBOk7LAz%2FAHFoNLXCwmIMKrbaeg46yZy08q1FmgBq8X1rScApVpRu%2BtTK0p5Tj%2Bp8kh64eR6zMMrBFRkq0nMVc0z7Ey1NCkjF%2FDlf67j7qKUmyXNR4PrmUavkMM9MwI26Vli0dq1kSfXW0yyw04kmU7bQWmnIqtS4Kmx%2FuS9pjiwxqEm7mK3%2Fg5Z%2FPDXir%2Fzo72Ttd6Xh2Z%2B1HzstrTsTs07mCoj0aU19b%2FnZZpCelPJmy3RcCPmb6jxQYO7Sl3IAd5meSMXL4g06Q7gNXUYvh1M4ZCOrmx%2FGiezLcRQNmzFoxli6Di%2F0OlHao6QRDp7iCheskoNFrbUIQKumLpXtKpJ73q3LW26lnE4F3ChkcIXqsgAgsw%2Ft%2BejQY6pAFLggSNf02k1dDYPGApD%2FCmhnzJ7QESTiY9QelwvmN1gfE6h6igAt351OB9%2FM1RNmzgStbbZ4wZ90kIlb8rs4nMCyj%2FDTYNPppp0Q%2Bv53mpBUuLBL%2B1CPIJUTPndJrc5s5%2FF%2BEV%2B90Qf%2BNAtwCWAwmDMHxJoSgb%2FrV6uklJcieOYt4I31%2BoJoszqqijflaHy6vcjkGMR0EERZDGfkbH42AevMPwAQ%3D%3D&Signature=tucUu2F3765U16Pfyhw8Q57Feoo%3D", "autoplay": false, "recordedYoutubeIsAvailable": true, "ytTestTimeout": 1500, "transcriptAvailableTranslationsUrl": "/courses/course-v1:MITx+15.053x+3T2016/xblock/block-v1:MITx+15.053x+3T2016+type@video+block@a26a6dc188fa4ca09bafeed37a4424ad/handler/transcript/available_translations", "captionDataDir": null, "completionEnabled": false, "completionPercentage": 0.95, "transcriptLanguages": {"en": "English"}, "saveStateUrl": "/courses/course-v1:MITx+15.053x+3T2016/xblock/block-v1:MITx+15.053x+3T2016+type@video+block@a26a6dc188fa4ca09bafeed37a4424ad/handler/xmodule_handler/save_user_state", "autoAdvance": false, "transcriptLanguage": "en", "sources": ["https://d2f1egay8yehza.cloudfront.net/MIT150532016-V009300_DTH.mp4", "https://d2f1egay8yehza.cloudfront.net/MIT150532016-V009300/MIT150532016-V009300.m3u8"], "showCaptions": "true", "lmsRootURL": "https://openlearninglibrary.mit.edu", "prioritizeHls": false, "start": 0.0, "end": 0.0, "ytMetadataEndpoint": "", "publishCompletionUrl": "/courses/course-v1:MITx+15.053x+3T2016/xblock/block-v1:MITx+15.053x+3T2016+type@video+block@a26a6dc188fa4ca09bafeed37a4424ad/handler/publish_completion", "ytApiUrl": "https://www.youtube.com/iframe_api", "saveStateEnabled": false, "transcriptTranslationUrl": "/courses/course-v1:MITx+15.053x+3T2016/xblock/block-v1:MITx+15.053x+3T2016+type@video+block@a26a6dc188fa4ca09bafeed37a4424ad/handler/transcript/translation/__lang__", "streams": "1.00:TN6I_plvtPY"}'
data-bumper-metadata='null'
data-autoadvance-enabled="False"
data-poster='null'
tabindex="-1"
>
<div class="focus_grabber first"></div>
<div class="tc-wrapper">
<div class="video-wrapper">
<span tabindex="0" class="spinner" aria-hidden="false" aria-label="Loading video player"></span>
<span tabindex="-1" class="btn-play fa fa-youtube-play fa-2x is-hidden" aria-hidden="true" aria-label="Play video"></span>
<div class="video-player-pre"></div>
<div class="video-player">
<div id="a26a6dc188fa4ca09bafeed37a4424ad"></div>
<h4 class="hd hd-4 video-error is-hidden">No playable video sources found.</h4>
<h4 class="hd hd-4 video-hls-error is-hidden">
Your browser does not support this video format. Try using a different browser.
</h4>
</div>
<div class="video-player-post"></div>
<div class="closed-captions"></div>
<div class="video-controls is-hidden">
<div>
<div class="vcr"><div class="vidtime">0:00 / 0:00</div></div>
<div class="secondary-controls"></div>
</div>
</div>
</div>
</div>
<div class="focus_grabber last"></div>
<h3 class="hd hd-4 downloads-heading sr" id="video-download-transcripts_a26a6dc188fa4ca09bafeed37a4424ad">Downloads and transcripts</h3>
<div class="wrapper-downloads" role="region" aria-labelledby="video-download-transcripts_a26a6dc188fa4ca09bafeed37a4424ad">
<div class="wrapper-download-transcripts">
<h4 class="hd hd-5">Transcripts</h4>
<ul class="list-download-transcripts">
<li class="transcript-option">
<a class="btn btn-link" href="/courses/course-v1:MITx+15.053x+3T2016/xblock/block-v1:MITx+15.053x+3T2016+type@video+block@a26a6dc188fa4ca09bafeed37a4424ad/handler/transcript/download" data-value="srt">Download SubRip (.srt) file</a>
</li>
<li class="transcript-option">
<a class="btn btn-link" href="/courses/course-v1:MITx+15.053x+3T2016/xblock/block-v1:MITx+15.053x+3T2016+type@video+block@a26a6dc188fa4ca09bafeed37a4424ad/handler/transcript/download" data-value="txt">Download Text (.txt) file</a>
</li>
</ul>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="xblock xblock-public_view xblock-public_view-vertical" data-runtime-class="LmsRuntime" data-course-id="course-v1:MITx+15.053x+3T2016" data-block-type="vertical" data-usage-id="block-v1:MITx+15.053x+3T2016+type@vertical+block@1cdd31aafc4f46a793862fdc8fce0b5e" data-init="VerticalStudentView" data-graded="False" data-has-score="False" data-runtime-version="1" data-request-token="507ff91e52d211ecaa040e4dd6e8f3e3">
<h2 class="hd hd-2 unit-title">Excel -- Diet Problem</h2>
<div class="vert-mod">
<div class="vert vert-0" data-id="block-v1:MITx+15.053x+3T2016+type@video+block@8c74818520ec42bbbc7cc5b8d098db60">
<div class="xblock xblock-public_view xblock-public_view-video xmodule_display xmodule_VideoBlock" data-runtime-class="LmsRuntime" data-course-id="course-v1:MITx+15.053x+3T2016" data-block-type="video" data-usage-id="block-v1:MITx+15.053x+3T2016+type@video+block@8c74818520ec42bbbc7cc5b8d098db60" data-init="XBlockToXModuleShim" data-graded="False" data-has-score="False" data-runtime-version="1" data-request-token="507ff91e52d211ecaa040e4dd6e8f3e3">
<script type="json/xblock-args" class="xblock-json-init-args">
{"xmodule-type": "Video"}
</script>
<h3 class="hd hd-2">Excel -- Diet Problem</h3>
<div
id="video_8c74818520ec42bbbc7cc5b8d098db60"
class="video closed"
data-metadata='{"generalSpeed": 1.0, "savedVideoPosition": 0.0, "duration": 681.23, "speed": null, "autohideHtml5": false, "poster": "https://mitx-edx-video-meta-storage.s3.amazonaws.com/media/video-images/f6e712c60b954a738a29afc8d47fcbf1.jpeg?AWSAccessKeyId=ASIA4QDFFSURZ3D5NOXK&Expires=1638382680&x-amz-security-token=IQoJb3JpZ2luX2VjEEIaCXVzLWVhc3QtMSJIMEYCIQC5dqML3u3HrMJR0L3JKoWwcjJhHrdLShrdsqQ7odiuaQIhAP13gQRvGHD44jAxDeol%2FLX9iUHeqkhZfOx90GzOIE9lKvoDCBsQAhoMODU5MjA1NjM3NDExIgwpyXs4Omxh%2FOmp7xoq1wO5oxy57qPP9D9SGgEmNbhbjIYUl%2BpSLRCDy33d99zk6QrvrWalTUnMmC0qD4SolgeZhZ0k7R5HchvYrO64QbCNtB20hXURexetrmUKZtoxDfxND2O0Hya3hJYTG2wwQztWWjv1IccKCVnmY%2FjSqSbgd9KjMVfl0OarbM%2BNTbGlyfRdgoC9q08egVhhPAvVEjvGbOEmMXHcEc5LzgbXq%2F2U6c%2BmjIDok1UFoRiQO%2BlhmhXWqz54xcRsUr%2FqU87lT9J%2F2uBOk7LAz%2FAHFoNLXCwmIMKrbaeg46yZy08q1FmgBq8X1rScApVpRu%2BtTK0p5Tj%2Bp8kh64eR6zMMrBFRkq0nMVc0z7Ey1NCkjF%2FDlf67j7qKUmyXNR4PrmUavkMM9MwI26Vli0dq1kSfXW0yyw04kmU7bQWmnIqtS4Kmx%2FuS9pjiwxqEm7mK3%2Fg5Z%2FPDXir%2Fzo72Ttd6Xh2Z%2B1HzstrTsTs07mCoj0aU19b%2FnZZpCelPJmy3RcCPmb6jxQYO7Sl3IAd5meSMXL4g06Q7gNXUYvh1M4ZCOrmx%2FGiezLcRQNmzFoxli6Di%2F0OlHao6QRDp7iCheskoNFrbUIQKumLpXtKpJ73q3LW26lnE4F3ChkcIXqsgAgsw%2Ft%2BejQY6pAFLggSNf02k1dDYPGApD%2FCmhnzJ7QESTiY9QelwvmN1gfE6h6igAt351OB9%2FM1RNmzgStbbZ4wZ90kIlb8rs4nMCyj%2FDTYNPppp0Q%2Bv53mpBUuLBL%2B1CPIJUTPndJrc5s5%2FF%2BEV%2B90Qf%2BNAtwCWAwmDMHxJoSgb%2FrV6uklJcieOYt4I31%2BoJoszqqijflaHy6vcjkGMR0EERZDGfkbH42AevMPwAQ%3D%3D&Signature=sYubNYzXVtl6GWO2hnF%2Fk4tf1bU%3D", "autoplay": false, "recordedYoutubeIsAvailable": true, "ytTestTimeout": 1500, "transcriptAvailableTranslationsUrl": "/courses/course-v1:MITx+15.053x+3T2016/xblock/block-v1:MITx+15.053x+3T2016+type@video+block@8c74818520ec42bbbc7cc5b8d098db60/handler/transcript/available_translations", "captionDataDir": null, "completionEnabled": false, "completionPercentage": 0.95, "transcriptLanguages": {"en": "English"}, "saveStateUrl": "/courses/course-v1:MITx+15.053x+3T2016/xblock/block-v1:MITx+15.053x+3T2016+type@video+block@8c74818520ec42bbbc7cc5b8d098db60/handler/xmodule_handler/save_user_state", "autoAdvance": false, "transcriptLanguage": "en", "sources": ["https://d2f1egay8yehza.cloudfront.net/MIT150532016-V009800_DTH.mp4", "https://d2f1egay8yehza.cloudfront.net/MIT150532016-V009800/MIT150532016-V009800.m3u8"], "showCaptions": "true", "lmsRootURL": "https://openlearninglibrary.mit.edu", "prioritizeHls": false, "start": 0.0, "end": 0.0, "ytMetadataEndpoint": "", "publishCompletionUrl": "/courses/course-v1:MITx+15.053x+3T2016/xblock/block-v1:MITx+15.053x+3T2016+type@video+block@8c74818520ec42bbbc7cc5b8d098db60/handler/publish_completion", "ytApiUrl": "https://www.youtube.com/iframe_api", "saveStateEnabled": false, "transcriptTranslationUrl": "/courses/course-v1:MITx+15.053x+3T2016/xblock/block-v1:MITx+15.053x+3T2016+type@video+block@8c74818520ec42bbbc7cc5b8d098db60/handler/transcript/translation/__lang__", "streams": "1.00:gtBtSrwCLP8"}'
data-bumper-metadata='null'
data-autoadvance-enabled="False"
data-poster='null'
tabindex="-1"
>
<div class="focus_grabber first"></div>
<div class="tc-wrapper">
<div class="video-wrapper">
<span tabindex="0" class="spinner" aria-hidden="false" aria-label="Loading video player"></span>
<span tabindex="-1" class="btn-play fa fa-youtube-play fa-2x is-hidden" aria-hidden="true" aria-label="Play video"></span>
<div class="video-player-pre"></div>
<div class="video-player">
<div id="8c74818520ec42bbbc7cc5b8d098db60"></div>
<h4 class="hd hd-4 video-error is-hidden">No playable video sources found.</h4>
<h4 class="hd hd-4 video-hls-error is-hidden">
Your browser does not support this video format. Try using a different browser.
</h4>
</div>
<div class="video-player-post"></div>
<div class="closed-captions"></div>
<div class="video-controls is-hidden">
<div>
<div class="vcr"><div class="vidtime">0:00 / 0:00</div></div>
<div class="secondary-controls"></div>
</div>
</div>
</div>
</div>
<div class="focus_grabber last"></div>
<h3 class="hd hd-4 downloads-heading sr" id="video-download-transcripts_8c74818520ec42bbbc7cc5b8d098db60">Downloads and transcripts</h3>
<div class="wrapper-downloads" role="region" aria-labelledby="video-download-transcripts_8c74818520ec42bbbc7cc5b8d098db60">
<div class="wrapper-download-transcripts">
<h4 class="hd hd-5">Transcripts</h4>
<ul class="list-download-transcripts">
<li class="transcript-option">
<a class="btn btn-link" href="/courses/course-v1:MITx+15.053x+3T2016/xblock/block-v1:MITx+15.053x+3T2016+type@video+block@8c74818520ec42bbbc7cc5b8d098db60/handler/transcript/download" data-value="srt">Download SubRip (.srt) file</a>
</li>
<li class="transcript-option">
<a class="btn btn-link" href="/courses/course-v1:MITx+15.053x+3T2016/xblock/block-v1:MITx+15.053x+3T2016+type@video+block@8c74818520ec42bbbc7cc5b8d098db60/handler/transcript/download" data-value="txt">Download Text (.txt) file</a>
</li>
</ul>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="xblock xblock-public_view xblock-public_view-vertical" data-runtime-class="LmsRuntime" data-course-id="course-v1:MITx+15.053x+3T2016" data-block-type="vertical" data-usage-id="block-v1:MITx+15.053x+3T2016+type@vertical+block@e85c3410aeaa40c48a6edde2867fba27" data-init="VerticalStudentView" data-graded="False" data-has-score="False" data-runtime-version="1" data-request-token="507ff91e52d211ecaa040e4dd6e8f3e3">
<h2 class="hd hd-2 unit-title">Excel -- Diet Problem II</h2>
<div class="vert-mod">
<div class="vert vert-0" data-id="block-v1:MITx+15.053x+3T2016+type@video+block@60e15c00c8ab427982bf9910f2a05d29">
<div class="xblock xblock-public_view xblock-public_view-video xmodule_display xmodule_VideoBlock" data-runtime-class="LmsRuntime" data-course-id="course-v1:MITx+15.053x+3T2016" data-block-type="video" data-usage-id="block-v1:MITx+15.053x+3T2016+type@video+block@60e15c00c8ab427982bf9910f2a05d29" data-init="XBlockToXModuleShim" data-graded="False" data-has-score="False" data-runtime-version="1" data-request-token="507ff91e52d211ecaa040e4dd6e8f3e3">
<script type="json/xblock-args" class="xblock-json-init-args">
{"xmodule-type": "Video"}
</script>
<h3 class="hd hd-2">Excel -- Diet Problem II</h3>
<div
id="video_60e15c00c8ab427982bf9910f2a05d29"
class="video closed"
data-metadata='{"generalSpeed": 1.0, "savedVideoPosition": 0.0, "duration": 244.77, "speed": null, "autohideHtml5": false, "poster": "https://mitx-edx-video-meta-storage.s3.amazonaws.com/media/video-images/74d37928c16c430f9a57a4a04baa0df1.jpeg?AWSAccessKeyId=ASIA4QDFFSURZ3D5NOXK&Expires=1638382680&x-amz-security-token=IQoJb3JpZ2luX2VjEEIaCXVzLWVhc3QtMSJIMEYCIQC5dqML3u3HrMJR0L3JKoWwcjJhHrdLShrdsqQ7odiuaQIhAP13gQRvGHD44jAxDeol%2FLX9iUHeqkhZfOx90GzOIE9lKvoDCBsQAhoMODU5MjA1NjM3NDExIgwpyXs4Omxh%2FOmp7xoq1wO5oxy57qPP9D9SGgEmNbhbjIYUl%2BpSLRCDy33d99zk6QrvrWalTUnMmC0qD4SolgeZhZ0k7R5HchvYrO64QbCNtB20hXURexetrmUKZtoxDfxND2O0Hya3hJYTG2wwQztWWjv1IccKCVnmY%2FjSqSbgd9KjMVfl0OarbM%2BNTbGlyfRdgoC9q08egVhhPAvVEjvGbOEmMXHcEc5LzgbXq%2F2U6c%2BmjIDok1UFoRiQO%2BlhmhXWqz54xcRsUr%2FqU87lT9J%2F2uBOk7LAz%2FAHFoNLXCwmIMKrbaeg46yZy08q1FmgBq8X1rScApVpRu%2BtTK0p5Tj%2Bp8kh64eR6zMMrBFRkq0nMVc0z7Ey1NCkjF%2FDlf67j7qKUmyXNR4PrmUavkMM9MwI26Vli0dq1kSfXW0yyw04kmU7bQWmnIqtS4Kmx%2FuS9pjiwxqEm7mK3%2Fg5Z%2FPDXir%2Fzo72Ttd6Xh2Z%2B1HzstrTsTs07mCoj0aU19b%2FnZZpCelPJmy3RcCPmb6jxQYO7Sl3IAd5meSMXL4g06Q7gNXUYvh1M4ZCOrmx%2FGiezLcRQNmzFoxli6Di%2F0OlHao6QRDp7iCheskoNFrbUIQKumLpXtKpJ73q3LW26lnE4F3ChkcIXqsgAgsw%2Ft%2BejQY6pAFLggSNf02k1dDYPGApD%2FCmhnzJ7QESTiY9QelwvmN1gfE6h6igAt351OB9%2FM1RNmzgStbbZ4wZ90kIlb8rs4nMCyj%2FDTYNPppp0Q%2Bv53mpBUuLBL%2B1CPIJUTPndJrc5s5%2FF%2BEV%2B90Qf%2BNAtwCWAwmDMHxJoSgb%2FrV6uklJcieOYt4I31%2BoJoszqqijflaHy6vcjkGMR0EERZDGfkbH42AevMPwAQ%3D%3D&Signature=G5437JokEJOdkJoUZHPr35Sk2nM%3D", "autoplay": false, "recordedYoutubeIsAvailable": true, "ytTestTimeout": 1500, "transcriptAvailableTranslationsUrl": "/courses/course-v1:MITx+15.053x+3T2016/xblock/block-v1:MITx+15.053x+3T2016+type@video+block@60e15c00c8ab427982bf9910f2a05d29/handler/transcript/available_translations", "captionDataDir": null, "completionEnabled": false, "completionPercentage": 0.95, "transcriptLanguages": {"en": "English"}, "saveStateUrl": "/courses/course-v1:MITx+15.053x+3T2016/xblock/block-v1:MITx+15.053x+3T2016+type@video+block@60e15c00c8ab427982bf9910f2a05d29/handler/xmodule_handler/save_user_state", "autoAdvance": false, "transcriptLanguage": "en", "sources": ["https://d2f1egay8yehza.cloudfront.net/MIT150532016-V008900_DTH.mp4", "https://d2f1egay8yehza.cloudfront.net/MIT150532016-V008900/MIT150532016-V008900.m3u8"], "showCaptions": "true", "lmsRootURL": "https://openlearninglibrary.mit.edu", "prioritizeHls": false, "start": 0.0, "end": 0.0, "ytMetadataEndpoint": "", "publishCompletionUrl": "/courses/course-v1:MITx+15.053x+3T2016/xblock/block-v1:MITx+15.053x+3T2016+type@video+block@60e15c00c8ab427982bf9910f2a05d29/handler/publish_completion", "ytApiUrl": "https://www.youtube.com/iframe_api", "saveStateEnabled": false, "transcriptTranslationUrl": "/courses/course-v1:MITx+15.053x+3T2016/xblock/block-v1:MITx+15.053x+3T2016+type@video+block@60e15c00c8ab427982bf9910f2a05d29/handler/transcript/translation/__lang__", "streams": "1.00:jdOtlZTacXw"}'
data-bumper-metadata='null'
data-autoadvance-enabled="False"
data-poster='null'
tabindex="-1"
>
<div class="focus_grabber first"></div>
<div class="tc-wrapper">
<div class="video-wrapper">
<span tabindex="0" class="spinner" aria-hidden="false" aria-label="Loading video player"></span>
<span tabindex="-1" class="btn-play fa fa-youtube-play fa-2x is-hidden" aria-hidden="true" aria-label="Play video"></span>
<div class="video-player-pre"></div>
<div class="video-player">
<div id="60e15c00c8ab427982bf9910f2a05d29"></div>
<h4 class="hd hd-4 video-error is-hidden">No playable video sources found.</h4>
<h4 class="hd hd-4 video-hls-error is-hidden">
Your browser does not support this video format. Try using a different browser.
</h4>
</div>
<div class="video-player-post"></div>
<div class="closed-captions"></div>
<div class="video-controls is-hidden">
<div>
<div class="vcr"><div class="vidtime">0:00 / 0:00</div></div>
<div class="secondary-controls"></div>
</div>
</div>
</div>
</div>
<div class="focus_grabber last"></div>
<h3 class="hd hd-4 downloads-heading sr" id="video-download-transcripts_60e15c00c8ab427982bf9910f2a05d29">Downloads and transcripts</h3>
<div class="wrapper-downloads" role="region" aria-labelledby="video-download-transcripts_60e15c00c8ab427982bf9910f2a05d29">
<div class="wrapper-download-transcripts">
<h4 class="hd hd-5">Transcripts</h4>
<ul class="list-download-transcripts">
<li class="transcript-option">
<a class="btn btn-link" href="/courses/course-v1:MITx+15.053x+3T2016/xblock/block-v1:MITx+15.053x+3T2016+type@video+block@60e15c00c8ab427982bf9910f2a05d29/handler/transcript/download" data-value="srt">Download SubRip (.srt) file</a>
</li>
<li class="transcript-option">
<a class="btn btn-link" href="/courses/course-v1:MITx+15.053x+3T2016/xblock/block-v1:MITx+15.053x+3T2016+type@video+block@60e15c00c8ab427982bf9910f2a05d29/handler/transcript/download" data-value="txt">Download Text (.txt) file</a>
</li>
</ul>
</div>
</div>
</div>
</div>
</div>
</div>
</div>
© All Rights Reserved