{"id":8976,"date":"2021-01-22T10:42:09","date_gmt":"2021-01-22T08:42:09","guid":{"rendered":"https:\/\/www.civil.upatras.gr\/index.php\/product\/applied-mathematics-iii\/"},"modified":"2024-09-30T15:07:22","modified_gmt":"2024-09-30T12:07:22","slug":"applied-mathematics-iii","status":"publish","type":"product","link":"https:\/\/www.civil.upatras.gr\/index.php\/product\/applied-mathematics-iii\/?lang=en","title":{"rendered":"APPLIED MATHEMATICS III"},"content":{"rendered":"","protected":false},"excerpt":{"rendered":"<p>The course covers basic notions of differential equations and methods for their solution. More precisely the course covers:<\/p>\n<p>i.\tBasic notions of ODEs. 1st order ODEs: separable, linear, exact.<br \/>\nii.\tLinear ODEs of 2nd order, with constant coefficients, homogeneous and nonhomogeneous.<br \/>\niii.\tBoundary value problems and eigenvalue problems. Fourier series.<br \/>\niv.\tSystems of ODEs. Basic notions. Solution of systems of ODEs with constant coefficients, homogeneous and nonhomogeneous, by means of eigenvalues and eigenvectors.<br \/>\nv.\tBasic notions and solutions of PDEs.<br \/>\nvi.\tSolution of PDEs using the separation of variables method.<br \/>\nvii.\tLaplace transform and its application to the solution of ODEs, systems of ODEs and PDEs.<br \/>\nviii.\tFourier transform and its application to the solution of PDEs.<br \/>\nix.\tSolution of differential equations using a scientific package of symbolic computations.<br \/>\nx.\tApplications of ODES, systems of ODEs and PDEs to problems regarding: beams, plates, oscillations, waves, heat transfer and environmental hydraulics.<\/p>\n","protected":false},"featured_media":6315,"template":"","meta":[],"product_brand":[],"product_cat":[403],"product_tag":[],"class_list":["post-8976","product","type-product","status-publish","has-post-thumbnail","product_cat-3rd-semester","first","instock","shipping-taxable","product-type-simple"],"_links":{"self":[{"href":"https:\/\/www.civil.upatras.gr\/index.php\/wp-json\/wp\/v2\/product\/8976","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.civil.upatras.gr\/index.php\/wp-json\/wp\/v2\/product"}],"about":[{"href":"https:\/\/www.civil.upatras.gr\/index.php\/wp-json\/wp\/v2\/types\/product"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.civil.upatras.gr\/index.php\/wp-json\/wp\/v2\/media\/6315"}],"wp:attachment":[{"href":"https:\/\/www.civil.upatras.gr\/index.php\/wp-json\/wp\/v2\/media?parent=8976"}],"wp:term":[{"taxonomy":"product_brand","embeddable":true,"href":"https:\/\/www.civil.upatras.gr\/index.php\/wp-json\/wp\/v2\/product_brand?post=8976"},{"taxonomy":"product_cat","embeddable":true,"href":"https:\/\/www.civil.upatras.gr\/index.php\/wp-json\/wp\/v2\/product_cat?post=8976"},{"taxonomy":"product_tag","embeddable":true,"href":"https:\/\/www.civil.upatras.gr\/index.php\/wp-json\/wp\/v2\/product_tag?post=8976"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}