{"id":8672,"date":"2025-07-15T21:11:59","date_gmt":"2025-07-15T18:11:59","guid":{"rendered":"https:\/\/www.econ.uoa.gr\/course\/mth301-%ce%b3%cf%81%ce%b1%ce%bc%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":"2026-04-17T14:31:43","modified_gmt":"2026-04-17T11:31:43","slug":"mth301-linear-mathematics","status":"publish","type":"course","link":"https:\/\/www.econ.uoa.gr\/en\/course\/mth301-linear-mathematics\/","title":{"rendered":"MTH301 - Linear Mathematics - 6th semester"},"content":{"rendered":"<p><strong>Linear Mathematics<\/strong><\/p>\n<p>\u039a\u03c9\u03b4\u03b9\u03ba\u03cc\u03c2: MTH301<br \/>\n\u0395\u03be\u03ac\u03bc\u03b7\u03bd\u03bf: 6\u03bf<br \/>\n\u0394\u03b9\u03b4\u03ac\u03c3\u03ba\u03bf\u03bd\u03c4\u03b5\u03c2: \u0392. \u039a\u03b1\u03c4\u03c3\u03af\u03ba\u03b7\u03c2<\/p>\n<p><strong>Content<\/strong><\/p>\n<p><strong>Purpose:<\/strong><\/p>\n<p>The main purpose of the course is to familiarize students with the basic concepts of Linear Mathematics. The course also includes a MATLAB lab to introduce students to this computational tool.<\/p>\n<p><strong>Matter:<\/strong><\/p>\n<ul>\n<li>Tables, Types of Tables, Complex Tables, Line Operations, Table Operations, Table Order, Table Power, Tensor Product<\/li>\n<li>Inverted Table, Inverse Table, Inverse Table, LU Factorization, Horizons, Properties, Applications<\/li>\n<li>Matrix Calculus, Derivation of vectors and matrices<\/li>\n<li>Linear systems, Theory, Quadratic systems, Cramer's method, Homogeneous systems, Elimination methods, Iterative methods<\/li>\n<li>Vectors, Vector spaces, Subspaces, Bases, Dimension, Sums<\/li>\n<li>Linear Transformations, Image-Kernel, Transform Tables, Similar Tables, Characteristic Quantities, Diagonalization<\/li>\n<li>Spaces with inner product, Gram-Schmidt, Least squares method<\/li>\n<\/ul>\n<p><strong>MATLAB Lab:<\/strong><\/p>\n<ul>\n<li>Introduction, Basic operations, IF and FOR commands, Tables, Horizons, Solving equations, Substitutions<\/li>\n<li>Graphic Representations, Systems<\/li>\n<\/ul>\n<p><strong>Teaching aids<\/strong><\/p>\n<p>\u0393. Donatou - M. Adam, Linear Algebra, Gutenberg<br \/>\nA.S. Korkotsidis, Mathematics of Economic Analysis, Volume A<br \/>\nAlpha Chiang, Mathematical Methods of Economic Analysis, Volume A, Kritiki Publications<br \/>\nGilbert Strang, Linear Algebra and Applications, PEC<br \/>\nS. Lipschutz, Linear Algebra, Foam<\/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":[70,76],"semester":[83],"class_list":{"0":"post-8672","1":"course","2":"type-course","3":"status-publish","5":"course-type-70","6":"course-type-76","7":"semester-83"},"acf":[],"_links":{"self":[{"href":"https:\/\/www.econ.uoa.gr\/en\/wp-json\/wp\/v2\/course\/8672","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=8672"}],"wp:term":[{"taxonomy":"course-type","embeddable":true,"href":"https:\/\/www.econ.uoa.gr\/en\/wp-json\/wp\/v2\/course-type?post=8672"},{"taxonomy":"semester","embeddable":true,"href":"https:\/\/www.econ.uoa.gr\/en\/wp-json\/wp\/v2\/semester?post=8672"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}