{"id":8659,"date":"2025-07-15T18:24:10","date_gmt":"2025-07-15T15:24:10","guid":{"rendered":"https:\/\/www.econ.uoa.gr\/course\/mth302-%ce%b4%cf%85%ce%bd%ce%b1%ce%bc%ce%b9%ce%ba%ce%ac-%ce%bc%ce%b1%ce%b8%ce%b7%ce%bc%ce%b1%cf%84%ce%b9%ce%ba%ce%ac\/"},"modified":"2026-04-17T14:31:46","modified_gmt":"2026-04-17T11:31:46","slug":"mth302-dynamic-mathematics","status":"publish","type":"course","link":"https:\/\/www.econ.uoa.gr\/en\/course\/mth302-dynamic-mathematics\/","title":{"rendered":"MTH302 - Dynamical Mathematics - 5th semester"},"content":{"rendered":"<p><strong>\u0394\u03c5\u03bd\u03b1\u03bc\u03b9\u03ba\u03ac \u039c\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac<\/strong><\/p>\n<p>\u039a\u03c9\u03b4\u03b9\u03ba\u03cc\u03c2: MTH302<br \/>\n\u0395\u03be\u03ac\u03bc\u03b7\u03bd\u03bf: 5\u03bf<br \/>\n\u0394\u03b9\u03b4\u03ac\u03c3\u03ba\u03bf\u03bd\u03c4\u03b5\u03c2: \u03a3\u03c4. \u039a\u03ce\u03c4\u03c3\u03b9\u03bf\u03c2<\/p>\n<p><strong>Content<\/strong><\/p>\n<p><strong>Purpose:<\/strong> The course introduces students to the basic concepts of Dynamical Mathematics and their connection to economics.<\/p>\n<p>Topics covered:<\/p>\n<ul>\n<li>Differential Equations (DE): separated variables, Homogeneous, Complete, Linear 1 and n-order<\/li>\n<li>Qualitative Theory and Linear Systems IC<\/li>\n<li>Difference equations: Linear and Systems<\/li>\n<li>Applications to Economic Models (Samuelson, Hicks, Spider's Web)<\/li>\n<\/ul>\n<p><strong>MATHEMATICA Laboratory:<\/strong> Introduction to the interface, operations, graphing, solving equations and differential equations using the language.<\/p>\n<p><strong>Teaching aids<\/strong><\/p>\n<p>&#8211; \u0391.\u03a3. \u039a\u03bf\u03c1\u03ba\u03bf\u03c4\u03c3\u03af\u03b4\u03b7\u03c2, \u039c\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac \u039f\u03b9\u03ba\u03bf\u03bd\u03bf\u03bc\u03b9\u03ba\u03ae\u03c2 \u0391\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7\u03c2, \u03a4\u03cc\u03bc\u03bf\u03c2 \u0393\u2019.<br \/>\n&#8211; Alpha Chiang, \u039c\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ad\u03c2 \u039c\u03ad\u03b8\u03bf\u03b4\u03bf\u03b9 \u039f\u03b9\u03ba\u03bf\u03bd\u03bf\u03bc\u03b9\u03ba\u03ae\u03c2 \u0391\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7\u03c2, \u03a4\u03cc\u03bc\u03bf\u03c2 \u0392\u2019, \u0395\u03ba\u03b4\u03cc\u03c3\u03b5\u03b9\u03c2 \u039a\u03a1\u0399\u03a4\u0399\u039a\u0397.<br \/>\n&#8211; \u03a3\u03c4\u03ad\u03c6\u03b1\u03bd\u03bf\u03c2 \u03a4\u03c1\u03b1\u03c7\u03b1\u03bd\u03ac\u03c2, \u0394\u03b9\u03b1\u03c6\u03bf\u03c1\u03b9\u03ba\u03ad\u03c2 \u0395\u03be\u03b9\u03c3\u03ce\u03c3\u03b5\u03b9\u03c2 \u0399, \u03a0\u0395\u039a.<br \/>\n&#8211; Brown, Differential Equations, \u03a3\u03b5\u03b9\u03c1\u03ac Schaum.<br \/>\n&#8211; \u03a3\u03c4\u03ad\u03c6\u03b1\u03bd\u03bf\u03c2 \u03a4\u03c1\u03b1\u03c7\u03b1\u03bd\u03ac\u03c2, Mathematica \u03ba\u03b1\u03b9 \u0395\u03c6\u03b1\u03c1\u03bc\u03bf\u03b3\u03ad\u03c2, \u03a0\u0395\u039a.<\/p>","protected":false},"parent":0,"template":"","meta":{"_acf_changed":false,"_seopress_robots_primary_cat":"","_seopress_titles_title":"","_seopress_titles_desc":"","_seopress_robots_index":""},"course-type":[70,71],"semester":[82],"class_list":{"0":"post-8659","1":"course","2":"type-course","3":"status-publish","5":"course-type-70","6":"course-type-71","7":"semester-82"},"acf":[],"_links":{"self":[{"href":"https:\/\/www.econ.uoa.gr\/en\/wp-json\/wp\/v2\/course\/8659","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.econ.uoa.gr\/en\/wp-json\/wp\/v2\/course"}],"about":[{"href":"https:\/\/www.econ.uoa.gr\/en\/wp-json\/wp\/v2\/types\/course"}],"wp:attachment":[{"href":"https:\/\/www.econ.uoa.gr\/en\/wp-json\/wp\/v2\/media?parent=8659"}],"wp:term":[{"taxonomy":"course-type","embeddable":true,"href":"https:\/\/www.econ.uoa.gr\/en\/wp-json\/wp\/v2\/course-type?post=8659"},{"taxonomy":"semester","embeddable":true,"href":"https:\/\/www.econ.uoa.gr\/en\/wp-json\/wp\/v2\/semester?post=8659"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}