{"id":530,"date":"2021-05-27T02:30:53","date_gmt":"2021-05-27T02:30:53","guid":{"rendered":"https:\/\/sites.rutgers.edu\/matthew-charnley\/?page_id=530"},"modified":"2024-08-16T14:42:30","modified_gmt":"2024-08-16T14:42:30","slug":"differential-equations-an-introduction-for-engineers","status":"publish","type":"page","link":"https:\/\/sites.rutgers.edu\/matthew-charnley\/course-materials\/differential-equations-an-introduction-for-engineers\/","title":{"rendered":"Differential Equations: An Introduction for Engineers"},"content":{"rendered":"<p>This is the free, open-source, open-access textbook that I have been working on for Math 244. It is based on <a href=\"https:\/\/www.jirka.org\/diffyqs\/\">Notes on Diffy Qs<\/a>, a text by Jiri Lebl, but with adjustments made to better fit the version of a differential equations course that we run at Rutgers. The main adjustments and improvements to the text are:<\/p>\n<ul>\n<li>Addition of an appendix on MATLAB, providing an introduction to the basic syntax of coding and the code provided with the course,<\/li>\n<li>Addition of a section on Mathematical Modeling, including information on parameter estimation and bifurcations for autonomous equations,<\/li>\n<li>Rearrangement of topics in certain sections, including adding a section on Eigenvalues to the Linear Algebra chapter,<\/li>\n<li>Snippets of MATLAB code illustrating several concepts, and<\/li>\n<li>Addition of many more exercises throughout the text.<\/li>\n<\/ul>\n<p>As of now, the topics in the textbook are:<\/p>\n<ul>\n<li>First Order Equations<\/li>\n<li>Second Order Equations<\/li>\n<li>Linear Algebra<\/li>\n<li>Linear Systems of Differential Equations<\/li>\n<li>Non-Linear Systems of Differential Equations<\/li>\n<\/ul>\n<p>The additional topics from <a href=\"https:\/\/www.jirka.org\/diffyqs\/\">Notes on Diffy Qs<\/a> are generally covered in our Math 421 class, and may be included in the book in future editions. This version of the text also has answers to all of the textbook exercises.<\/p>\n<p>The current version of the textbook (version 0.99) can be found <a href=\"http:\/\/sites.math.rutgers.edu\/~mpc163\/Files\/EngODE_Book_current.pdf\">here<\/a>. A github repository for the code is available <a href=\"https:\/\/github.com\/mpcharnley\/diff-eqs-eng-ru\">here<\/a>. Let me know if there are any issues with this or there are other comments.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>This is the free, open-source, open-access textbook that I have been working on for Math 244. It is based on Notes on Diffy Qs, a text by Jiri Lebl, but &hellip; <a href=\"https:\/\/sites.rutgers.edu\/matthew-charnley\/course-materials\/differential-equations-an-introduction-for-engineers\/\" class=\"\">Read More<\/a><\/p>\n","protected":false},"author":1525,"featured_media":0,"parent":442,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-530","page","type-page","status-publish","hentry"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v23.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Differential Equations: An Introduction for Engineers - Matthew Charnley<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/sites.rutgers.edu\/matthew-charnley\/course-materials\/differential-equations-an-introduction-for-engineers\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Differential Equations: An Introduction for Engineers - Matthew Charnley\" \/>\n<meta property=\"og:description\" content=\"This is the free, open-source, open-access textbook that I have been working on for Math 244. It is based on Notes on Diffy Qs, a text by Jiri Lebl, but &hellip; Read More\" \/>\n<meta property=\"og:url\" content=\"https:\/\/sites.rutgers.edu\/matthew-charnley\/course-materials\/differential-equations-an-introduction-for-engineers\/\" \/>\n<meta property=\"og:site_name\" content=\"Matthew Charnley\" \/>\n<meta property=\"article:modified_time\" content=\"2024-08-16T14:42:30+00:00\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/sites.rutgers.edu\/matthew-charnley\/course-materials\/differential-equations-an-introduction-for-engineers\/\",\"url\":\"https:\/\/sites.rutgers.edu\/matthew-charnley\/course-materials\/differential-equations-an-introduction-for-engineers\/\",\"name\":\"Differential Equations: An Introduction for Engineers - Matthew Charnley\",\"isPartOf\":{\"@id\":\"https:\/\/sites.rutgers.edu\/matthew-charnley\/#website\"},\"datePublished\":\"2021-05-27T02:30:53+00:00\",\"dateModified\":\"2024-08-16T14:42:30+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/sites.rutgers.edu\/matthew-charnley\/course-materials\/differential-equations-an-introduction-for-engineers\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/sites.rutgers.edu\/matthew-charnley\/course-materials\/differential-equations-an-introduction-for-engineers\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/sites.rutgers.edu\/matthew-charnley\/course-materials\/differential-equations-an-introduction-for-engineers\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/sites.rutgers.edu\/matthew-charnley\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Course Materials\",\"item\":\"https:\/\/sites.rutgers.edu\/matthew-charnley\/course-materials\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"Differential Equations: An Introduction for Engineers\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/sites.rutgers.edu\/matthew-charnley\/#website\",\"url\":\"https:\/\/sites.rutgers.edu\/matthew-charnley\/\",\"name\":\"Matthew Charnley\",\"description\":\"\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/sites.rutgers.edu\/matthew-charnley\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Differential Equations: An Introduction for Engineers - Matthew Charnley","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/sites.rutgers.edu\/matthew-charnley\/course-materials\/differential-equations-an-introduction-for-engineers\/","og_locale":"en_US","og_type":"article","og_title":"Differential Equations: An Introduction for Engineers - Matthew Charnley","og_description":"This is the free, open-source, open-access textbook that I have been working on for Math 244. It is based on Notes on Diffy Qs, a text by Jiri Lebl, but &hellip; Read More","og_url":"https:\/\/sites.rutgers.edu\/matthew-charnley\/course-materials\/differential-equations-an-introduction-for-engineers\/","og_site_name":"Matthew Charnley","article_modified_time":"2024-08-16T14:42:30+00:00","twitter_card":"summary_large_image","twitter_misc":{"Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/sites.rutgers.edu\/matthew-charnley\/course-materials\/differential-equations-an-introduction-for-engineers\/","url":"https:\/\/sites.rutgers.edu\/matthew-charnley\/course-materials\/differential-equations-an-introduction-for-engineers\/","name":"Differential Equations: An Introduction for Engineers - Matthew Charnley","isPartOf":{"@id":"https:\/\/sites.rutgers.edu\/matthew-charnley\/#website"},"datePublished":"2021-05-27T02:30:53+00:00","dateModified":"2024-08-16T14:42:30+00:00","breadcrumb":{"@id":"https:\/\/sites.rutgers.edu\/matthew-charnley\/course-materials\/differential-equations-an-introduction-for-engineers\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/sites.rutgers.edu\/matthew-charnley\/course-materials\/differential-equations-an-introduction-for-engineers\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/sites.rutgers.edu\/matthew-charnley\/course-materials\/differential-equations-an-introduction-for-engineers\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/sites.rutgers.edu\/matthew-charnley\/"},{"@type":"ListItem","position":2,"name":"Course Materials","item":"https:\/\/sites.rutgers.edu\/matthew-charnley\/course-materials\/"},{"@type":"ListItem","position":3,"name":"Differential Equations: An Introduction for Engineers"}]},{"@type":"WebSite","@id":"https:\/\/sites.rutgers.edu\/matthew-charnley\/#website","url":"https:\/\/sites.rutgers.edu\/matthew-charnley\/","name":"Matthew Charnley","description":"","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/sites.rutgers.edu\/matthew-charnley\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"}]}},"_links":{"self":[{"href":"https:\/\/sites.rutgers.edu\/matthew-charnley\/wp-json\/wp\/v2\/pages\/530"}],"collection":[{"href":"https:\/\/sites.rutgers.edu\/matthew-charnley\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/sites.rutgers.edu\/matthew-charnley\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/sites.rutgers.edu\/matthew-charnley\/wp-json\/wp\/v2\/users\/1525"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.rutgers.edu\/matthew-charnley\/wp-json\/wp\/v2\/comments?post=530"}],"version-history":[{"count":6,"href":"https:\/\/sites.rutgers.edu\/matthew-charnley\/wp-json\/wp\/v2\/pages\/530\/revisions"}],"predecessor-version":[{"id":547,"href":"https:\/\/sites.rutgers.edu\/matthew-charnley\/wp-json\/wp\/v2\/pages\/530\/revisions\/547"}],"up":[{"embeddable":true,"href":"https:\/\/sites.rutgers.edu\/matthew-charnley\/wp-json\/wp\/v2\/pages\/442"}],"wp:attachment":[{"href":"https:\/\/sites.rutgers.edu\/matthew-charnley\/wp-json\/wp\/v2\/media?parent=530"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}