{"id":7633,"date":"2026-08-10T09:46:25","date_gmt":"2026-08-10T09:46:25","guid":{"rendered":"https:\/\/nokobox.com\/index.php\/item\/udemy-partial-differential-equations-comprehensive-course-2024-6\/"},"modified":"2026-08-10T09:46:25","modified_gmt":"2026-08-10T09:46:25","slug":"udemy-partial-differential-equations-comprehensive-course-2024-6","status":"publish","type":"digital_item","link":"https:\/\/nokobox.com\/index.php\/item\/udemy-partial-differential-equations-comprehensive-course-2024-6\/","title":{"rendered":"Udemy \u2013 Partial Differential Equations: Comprehensive Course 2024-6"},"content":{"rendered":"<div class=\"w-post-elm post_content\">\n<h2>Descriptions<\/h2>\n<p>Partial Differential Equations: Comprehensive Course, This course is designed to provide a comprehensive understanding of how the Fourier Transform can be used as a powerful tool to solve Partial Differential Equations (PDE). The course is divided into three parts, each building on the previous one, and includes bonus sections on the mathematical derivation of the Heisenberg Uncertainty Principle.<br \/>In this part, we will start with the basics of the Fourier series and derive the Fourier Transform and its inverse. We will then apply these concepts to solve PDE\u2019s using the Fourier Transform. Prerequisites for this section are Calculus and Multivariable Calculus, with a focus on topics related to derivatives, integrals, gradient, Laplacian, and spherical coordinates. This section introduces the heat equation and the Laplace equation in Cartesian and polar coordinates. We will solve exercises with different boundary conditions using the Separation of Variables method. This section is self-contained and independent of the first one, but prior knowledge of ODEs is recommended. This section is dedicated to the Diffusion\/Heat equation, where we will derive the equation from physics principles and solve it rigorously. Bonus sections are included on the mathematical derivation of the Heisenberg Uncertainty Principle.<\/p>\n<h3>What you\u2019ll learn<\/h3>\n<ul>\n<li>How to use the Fourier Trasforms to tackle the problem of solving PDE\u2019s<\/li>\n<li>Fourier Transforms in one and multiple dimensions<\/li>\n<li>Method of separation of variables to solve the Heat equation (with exercises)<\/li>\n<li>Method of separation of variables to solve the Laplace equation in cartesian and polar coordinates (with exercises)<\/li>\n<li>How to apply the Fourier Transform to solve 2nd order ODE\u2019s as well<\/li>\n<li>How to derive the Black Scholes equation in Finance<\/li>\n<li>How to derive (and in some cases solve) the Navier-Stokes equations<\/li>\n<li>concept of streamlines<\/li>\n<li>Mathematical tricks<\/li>\n<li>How to derive Heisenberg Uncertainty Principle using concepts of Probability Theory<\/li>\n<\/ul>\n<h3>Who this course is for<\/h3>\n<ul>\n<li>Students who are interested in Physics and in mathematical derivations of concepts<\/li>\n<li>engineers<\/li>\n<li>mathematicians<\/li>\n<li>physicists<\/li>\n<li>data scientists<\/li>\n<li>computer programmers<\/li>\n<\/ul>\n<h3>Specificatoin of Partial Differential Equations: Comprehensive Course<\/h3>\n<ul>\n<li>Publisher : <a href=\"https:\/\/href.li\/?https:\/\/www.udemy.com\/course\/mathematical-intuition-for-heisenberg-uncertainty-principle\" target=\"_blank\" rel=\"noopener\">Udemy<\/a><\/li>\n<li>Teacher : <a href=\"https:\/\/downloadlynet.ir\/tag\/emanuele-pesaresi\">Emanuele Pesaresi<\/a><\/li>\n<li>Language : English<\/li>\n<li>Level : Expert<\/li>\n<li>Number of Course : 64<\/li>\n<li>Duration : 17 hours and 4 minutes<\/li>\n<\/ul>\n<h3>Content on 2024-9<\/h3>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-951336\" src=\"https:\/\/downloadly.ir\/wp-content\/uploads\/2024\/12\/Partial-Differential-Equations_-Comprehensive-Course.c.jpeg\" alt=\"Partial Differential Equations_ Comprehensive Course\" width=\"705\" height=\"1225\"><\/p>\n<h3>Requirements<\/h3>\n<ul dir=\"ltr\">\n<li>Calculus (especially: derivatives, integrals)<\/li>\n<li>Multivariable Calculus (especially: the Jacobian, the Laplacian, etc.)<\/li>\n<li>Complex Calculus (basics of Fourier series and residues could help)<\/li>\n<li>Some notions of probability theory (distributions, mean, variance)<\/li>\n<li>Complex numbers<\/li>\n<\/ul>\n<h3>Pictures<\/h3>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-951337\" src=\"https:\/\/downloadly.ir\/wp-content\/uploads\/2024\/12\/Partial-Differential-Equations_-Comprehensive-Course.d.jpeg\" alt=\"Partial Differential Equations_ Comprehensive Course\" width=\"705\" height=\"279\"><\/p>\n<h3>Sample Clip<\/h3>\n<div style=\"width: 640px;\" class=\"wp-video\"><span class=\"mejs-offscreen\">Video Player<\/span><\/p>\n<div id=\"mep_0\" class=\"mejs-container mejs-container-keyboard-inactive wp-video-shortcode mejs-video\" tabindex=\"0\" role=\"application\" aria-label=\"Video Player\" style=\"width: 640px; height: 360px; min-width: 217px;\">\n<div class=\"mejs-inner\">\n<div class=\"mejs-mediaelement\"><mediaelementwrapper id=\"video-149182-1\"><video class=\"wp-video-shortcode\" id=\"video-149182-1_html5\" width=\"640\" height=\"360\" preload=\"metadata\" src=\"https:\/\/dl.downloadly.ir\/Files\/Elearning\/Sample\/Partial_Differential_Equations__Comprehensive_Course_Downloadly.ir.mp4?_=1\" style=\"width: 640px; height: 360px;\"><source type=\"video\/mp4\" src=\"https:\/\/dl.downloadly.ir\/Files\/Elearning\/Sample\/Partial_Differential_Equations__Comprehensive_Course_Downloadly.ir.mp4?_=1\"><a href=\"https:\/\/dl.downloadly.ir\/Files\/Elearning\/Sample\/Partial_Differential_Equations__Comprehensive_Course_Downloadly.ir.mp4?nocache=1786110223075\">https:\/\/dl.downloadly.ir\/Files\/Elearning\/Sample\/Partial_Differential_Equations__Comprehensive_Course_Downloadly.ir.mp4<\/a><\/video><\/mediaelementwrapper><\/div>\n<div class=\"mejs-layers\">\n<div class=\"mejs-poster mejs-layer\" style=\"display: none; width: 100%; height: 100%;\"><\/div>\n<div class=\"mejs-overlay mejs-layer\" style=\"display: none; width: 100%; height: 100%;\">\n<div class=\"mejs-overlay-loading\"><span class=\"mejs-overlay-loading-bg-img\"><\/span><\/div>\n<\/div>\n<div class=\"mejs-overlay mejs-layer\" style=\"display: none; width: 100%; height: 100%;\">\n<div class=\"mejs-overlay-error\"><\/div>\n<\/div>\n<div class=\"mejs-overlay mejs-layer mejs-overlay-play\" style=\"width: 100%; height: 100%;\">\n<div class=\"mejs-overlay-button\" role=\"button\" tabindex=\"0\" aria-label=\"Play\" aria-pressed=\"false\"><\/div>\n<\/div>\n<\/div>\n<div class=\"mejs-controls\">\n<div class=\"mejs-button mejs-playpause-button mejs-play\"><button type=\"button\" aria-controls=\"mep_0\" title=\"Play\" aria-label=\"Play\" tabindex=\"0\"><\/button><\/div>\n<div class=\"mejs-time mejs-currenttime-container\" role=\"timer\" aria-live=\"off\"><span class=\"mejs-currenttime\">00:00<\/span><\/div>\n<div class=\"mejs-time-rail\"><span class=\"mejs-time-total mejs-time-slider\" role=\"slider\" tabindex=\"0\" aria-label=\"Time Slider\" aria-valuemin=\"0\" aria-valuemax=\"0\" aria-valuenow=\"0\" aria-valuetext=\"00:00\"><span class=\"mejs-time-buffering\" style=\"display: none;\"><\/span><span class=\"mejs-time-loaded\"><\/span><span class=\"mejs-time-current\"><\/span><span class=\"mejs-time-hovered no-hover\"><\/span><span class=\"mejs-time-handle\"><span class=\"mejs-time-handle-content\"><\/span><\/span><span class=\"mejs-time-float\"><span class=\"mejs-time-float-current\">00:00<\/span><span class=\"mejs-time-float-corner\"><\/span><\/span><\/span><\/div>\n<div class=\"mejs-time mejs-duration-container\"><span class=\"mejs-duration\">00:00<\/span><\/div>\n<div class=\"mejs-button mejs-volume-button mejs-mute\"><button type=\"button\" aria-controls=\"mep_0\" title=\"Mute\" aria-label=\"Mute\" tabindex=\"0\"><\/button><a href=\"javascript:void(0);\" class=\"mejs-volume-slider\" aria-label=\"Volume Slider\" aria-valuemin=\"0\" aria-valuemax=\"100\" role=\"slider\" aria-orientation=\"vertical\"><span class=\"mejs-offscreen\">Use Up\/Down Arrow keys to increase or decrease volume.<\/span><\/p>\n<div class=\"mejs-volume-total\">\n<div class=\"mejs-volume-current\" style=\"bottom: 0px; height: 100%;\"><\/div>\n<div class=\"mejs-volume-handle\" style=\"bottom: 100%; margin-bottom: -3px;\"><\/div>\n<\/div>\n<p><\/a><\/div>\n<div class=\"mejs-button mejs-fullscreen-button\"><button type=\"button\" aria-controls=\"mep_0\" title=\"Fullscreen\" aria-label=\"Fullscreen\" tabindex=\"0\"><\/button><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<h3>Installation Guide<\/h3>\n<p>Extract the files and watch with your favorite player<\/p>\n<p>Subtitle : Not Available<\/p>\n<p>Quality: 720p<\/p>\n<h3>Download Links<\/h3>\n<p><a href=\"https:\/\/dl2.downloadly.ir\/Files\/Elearning\/Udemy_Partial_Differential_Equations_Comprehensive_Course_2024-6_Downloadly.ir.part1.rar?nocache=1786110222\">Download Part 1 \u2013 2 GB<\/a><\/p>\n<p><a href=\"https:\/\/dl2.downloadly.ir\/Files\/Elearning\/Udemy_Partial_Differential_Equations_Comprehensive_Course_2024-6_Downloadly.ir.part2.rar?nocache=1786110222\">Download Part 2 \u2013 2 GB<\/a><\/p>\n<p><a href=\"https:\/\/dl2.downloadly.ir\/Files\/Elearning\/Udemy_Partial_Differential_Equations_Comprehensive_Course_2024-6_Downloadly.ir.part3.rar?nocache=1786110222\">Download Part 3 \u2013 2 GB<\/a><\/p>\n<p><a href=\"https:\/\/dl2.downloadly.ir\/Files\/Elearning\/Udemy_Partial_Differential_Equations_Comprehensive_Course_2024-6_Downloadly.ir.part4.rar?nocache=1786110222\">Download Part 4 \u2013 2 GB<\/a><\/p>\n<p><a href=\"https:\/\/dl2.downloadly.ir\/Files\/Elearning\/Udemy_Partial_Differential_Equations_Comprehensive_Course_2024-6_Downloadly.ir.part5.rar?nocache=1786110222\">Download Part 5 \u2013 1.28 GB<\/a><\/p>\n<h5>Password file(s): <a>www.downloadly.ir<\/a><\/h5>\n<h3>File size<\/h3>\n<p>9.28 GB<\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Descriptions Partial Differential Equations: Comprehensive Course, This course is designed to provide a comprehensive understanding of how the Fourier Transform<\/p>\n","protected":false},"author":1,"template":"","dgi_category":[10458],"dgi_tag":[69302,67926,69303,69304,69305,69306,69307,69308,69309],"class_list":["post-7633","digital_item","type-digital_item","status-publish","has-post-thumbnail","hentry","dgi_category-video-tutorials","dgi_tag-download-partial-differential-equations-comprehensive-course","dgi_tag-emanuele-pesaresi","dgi_tag-free-download-partial-differential-equations-comprehensive-course","dgi_tag-free-partial-differential-equations-comprehensive-course","dgi_tag-partial-differential-equations-comprehensive-course","dgi_tag-partial-differential-equations-comprehensive-course-download","dgi_tag-partial-differential-equations-comprehensive-course-free","dgi_tag-partial-differential-equations-comprehensive-course-free-download","dgi_tag-udemy-partial-differential-equations-comprehensive-course"],"_links":{"self":[{"href":"https:\/\/nokobox.com\/index.php\/wp-json\/wp\/v2\/digital_item\/7633","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/nokobox.com\/index.php\/wp-json\/wp\/v2\/digital_item"}],"about":[{"href":"https:\/\/nokobox.com\/index.php\/wp-json\/wp\/v2\/types\/digital_item"}],"author":[{"embeddable":true,"href":"https:\/\/nokobox.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"version-history":[{"count":0,"href":"https:\/\/nokobox.com\/index.php\/wp-json\/wp\/v2\/digital_item\/7633\/revisions"}],"wp:attachment":[{"href":"https:\/\/nokobox.com\/index.php\/wp-json\/wp\/v2\/media?parent=7633"}],"wp:term":[{"taxonomy":"dgi_category","embeddable":true,"href":"https:\/\/nokobox.com\/index.php\/wp-json\/wp\/v2\/dgi_category?post=7633"},{"taxonomy":"dgi_tag","embeddable":true,"href":"https:\/\/nokobox.com\/index.php\/wp-json\/wp\/v2\/dgi_tag?post=7633"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}