{"id":14221,"date":"2021-04-28T00:13:09","date_gmt":"2021-04-28T00:13:09","guid":{"rendered":"https:\/\/www.tun.com\/courses\/2019\/12\/23\/differential-equations-fourier-series-and-partial-differential-equations\/"},"modified":"2023-06-27T01:00:23","modified_gmt":"2023-06-27T01:00:23","slug":"differential-equations-fourier-series-and-partial-differential-equations","status":"publish","type":"post","link":"https:\/\/www.tun.com\/courses\/differential-equations-fourier-series-and-partial-differential-equations\/mitx\/","title":{"rendered":"Differential Equations: Fourier Series and Partial Differential Equations"},"content":{"rendered":"<div class=\"single_post\" style=\"margin-top:16px;\";>\n<div class=\"post-single-content box mark-links entry-content\">\n<div class=\"thecontent\">\n<h2>Description<\/h2>\n<p>Differential equations are the mathematical language we use to describe the world around us. Many phenomena are not modeled by differential equations, but by partial differential equations depending on more than one independent variable. In this course, we will use Fourier series methods to solve ODEs and separable partial differential equations (PDEs). You will learn how to describe any periodic function using Fourier series, and will be able to use resonance and to determine the behavior of systems with periodic input signals that can be described in terms of Fourier series. This course will use MATLAB to assist computations.In this course we will explore:  How to process noisy sound files The way a beam bends in response to external forces How to design of ovens to create strong but lightweight composites The motion of a violin string  The five modules in this series&nbsp;are being offered as an XSeries on edX. Please visit the&nbsp;Differential Equations&nbsp;XSeries Program Page&nbsp;to learn more and to enroll in the modules.Violinist photo by user: DeshaCAM. Copyright &copy; 2018 Adobe Systems Incorporated. Used with permission.<\/p>\n<div style=\"height:45px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n<h2 class=\"has-text-align-center\">Price: FREE to audit!<\/h2>\n<div style=\"height:45px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n<div class=\"wp-block-button aligncenter\"><a class=\"wp-block-button__link has-text-color has-very-light-gray-color has-background has-vivid-red-background-color\" href=\"https:\/\/www.edx.org\/course\/differential-equations-fourier-series-and-partial-differential-equations-2\">View Class<\/a><\/div>\n<div style=\"height:55px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n<div class=\"wp-block-columns\">\n<div class=\"wp-block-column\">\n<\/div>\n<p>Differential Equations: Fourier Series and Partial Differential Equations through edX, a platform for education founded by Harvard and MIT.<\/p>\n<\/div>\n<p style=\"background-color:#496d89\" class=\"has-text-color has-background has-text-align-center has-very-light-gray-color\"><a href=\"https:\/\/www.edx.org\/course\/differential-equations-fourier-series-and-partial-differential-equations-2\">Differential Equations: Fourier Series and Partial Differential Equations<strong> &#8211; <\/strong><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Description Differential equations are the mathematical language we use to describe the world around us. Many phenomena are not modeled by differential equations, but by partial differential equations depending on more than one independent variable. In this course, we will use Fourier series methods to solve ODEs and separable partial differential equations (PDEs). You will [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":18638,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"om_disable_all_campaigns":false,"_uag_custom_page_level_css":"","_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"_uf_show_specific_survey":0,"_uf_disable_surveys":false,"footnotes":""},"categories":[63],"tags":[],"class_list":["post-14221","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-mitx"],"aioseo_notices":[],"uagb_featured_image_src":{"full":["https:\/\/www.tun.com\/courses\/wp-content\/uploads\/2019\/12\/f315bd15-ca6c-4c5d-aa20-8584656e30d1-a5c9ef90c326.small_.png",378,224,false],"thumbnail":["https:\/\/www.tun.com\/courses\/wp-content\/uploads\/2019\/12\/f315bd15-ca6c-4c5d-aa20-8584656e30d1-a5c9ef90c326.small_-150x150.png",150,150,true],"medium":["https:\/\/www.tun.com\/courses\/wp-content\/uploads\/2019\/12\/f315bd15-ca6c-4c5d-aa20-8584656e30d1-a5c9ef90c326.small_-300x178.png",300,178,true],"medium_large":["https:\/\/www.tun.com\/courses\/wp-content\/uploads\/2019\/12\/f315bd15-ca6c-4c5d-aa20-8584656e30d1-a5c9ef90c326.small_.png",378,224,false],"large":["https:\/\/www.tun.com\/courses\/wp-content\/uploads\/2019\/12\/f315bd15-ca6c-4c5d-aa20-8584656e30d1-a5c9ef90c326.small_.png",378,224,false],"1536x1536":["https:\/\/www.tun.com\/courses\/wp-content\/uploads\/2019\/12\/f315bd15-ca6c-4c5d-aa20-8584656e30d1-a5c9ef90c326.small_.png",378,224,false],"2048x2048":["https:\/\/www.tun.com\/courses\/wp-content\/uploads\/2019\/12\/f315bd15-ca6c-4c5d-aa20-8584656e30d1-a5c9ef90c326.small_.png",378,224,false]},"uagb_author_info":{"display_name":"Axiom Pegasus","author_link":"https:\/\/www.tun.com\/courses\/author\/magic\/"},"uagb_comment_info":0,"uagb_excerpt":"Description Differential equations are the mathematical language we use to describe the world around us. Many phenomena are not modeled by differential equations, but by partial differential equations depending on more than one independent variable. In this course, we will use Fourier series methods to solve ODEs and separable partial differential equations (PDEs). You will&hellip;","featured_media_src_url":"https:\/\/www.tun.com\/courses\/wp-content\/uploads\/2019\/12\/f315bd15-ca6c-4c5d-aa20-8584656e30d1-a5c9ef90c326.small_.png","_links":{"self":[{"href":"https:\/\/www.tun.com\/courses\/wp-json\/wp\/v2\/posts\/14221","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.tun.com\/courses\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.tun.com\/courses\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.tun.com\/courses\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.tun.com\/courses\/wp-json\/wp\/v2\/comments?post=14221"}],"version-history":[{"count":0,"href":"https:\/\/www.tun.com\/courses\/wp-json\/wp\/v2\/posts\/14221\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.tun.com\/courses\/wp-json\/wp\/v2\/media\/18638"}],"wp:attachment":[{"href":"https:\/\/www.tun.com\/courses\/wp-json\/wp\/v2\/media?parent=14221"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.tun.com\/courses\/wp-json\/wp\/v2\/categories?post=14221"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.tun.com\/courses\/wp-json\/wp\/v2\/tags?post=14221"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}