{"id":1417,"date":"2023-05-12T15:31:22","date_gmt":"2023-05-12T12:31:22","guid":{"rendered":"https:\/\/www.civil.ihu.gr\/?post_type=course&#038;p=1417"},"modified":"2026-05-19T18:45:36","modified_gmt":"2026-05-19T15:45:36","slug":"%ce%b3%ce%b5%ce%bd002","status":"publish","type":"course","link":"https:\/\/www.civil.ihu.gr\/en\/courses\/%ce%b3%ce%b5%ce%bd002\/","title":{"rendered":"Linear Algebra and Analytical Geometry"},"author":6,"template":"","meta":{"_acf_changed":false},"semester":[10],"course_type":[12],"class_list":["post-1417","course","type-course","status-publish","hentry","semester-10","course_type-general_background"],"acf":{"code":"\u0393\u0395\u039d002 ","semester":10,"level":"1","teaching_activities":{"activity_1":{"description":"Lectures","weekly_hrs":3,"ects":5},"activity_2":{"description":"","weekly_hrs":"","ects":""},"activity_3":{"description":"","weekly_hrs":"","ects":""},"activity_4":{"description":"","weekly_hrs":"","ects":""},"activity_5":{"description":"","weekly_hrs":"","ects":""}},"type":12,"language":"\u0395\u03bb\u03bb\u03b7\u03bd\u03b9\u03ba\u03ac","erasmus":"\u039d\u03b1\u03b9","url":"","prerequisites":"","instructors":[1382],"coordinator":[1382],"content":"1.Introduction to Arrays and array operations, determinant of a square matrix .2. Calculation of\r\ndeterminant of greater dimension by analysis into sum of sub-determinants. 3. Allowed operations,\r\ncalculation of determinant using the triangulation method. 4. Matrix multiplication, properties,\r\npermissible row operations on matrices. 5. Inverse of a square matrix and methods of inversion. 6.\r\nLinear systems. 7. The concept of vectors. 8. Vectors in space. 9-10. Analytical Geometry in the plane.\r\n11. Analytical Geometry in space. 12. Elements of surface theory. 13. Vector transformations.","goals":"Upon completing this course students should be able to use: 1. basic concepts in Linear Algebra\r\n(tables, determinants, linear systems \u2013 homogeneous\/non homogeneous), vector transformations\r\nthrough an array (eigenvalues and eigenvectors, similarity transformations) 2. Vector analysis and\r\nvector operations 3. Basic concepts of Analytical Algebra on the level of surface theory for the field of\r\nCivil Engineering","skills":"The course contributes to the following skills:\r\n- Working independently\r\n- Production of free, creative and inductive thinking","teaching_methods":"Face to face.","ict_usage":"Poweroint presentations, Excel, Matlab\/Octave, E-learning\r\nplatform for educational material.","teaching_organization":{"activity_1":{"description":"Lectures","workload":39},"activity_2":{"description":"Independent Study","workload":65},"activity_3":{"description":"Practice\/exercises","workload":26},"activity_4":{"description":"TOTAL","workload":130},"activity_5":{"description":"","workload":""},"activity_6":{"description":"","workload":""}},"students_evaluation":"Final written examination\r\n- open-ended questions (30-40%)\r\n- problem - solving questions (70-60%)","bib_textbooks":"<ul>\r\n \t<li>\u03a4\u03b5\u03c1\u03b6\u03af\u03b4\u03b7\u03c2 \u03a7\u03b1\u03c1\u03ac\u03bb\u03b1\u03bc\u03c0\u03bf\u03c2, \u039b\u03bf\u03b3\u03b9\u03c3\u03bc\u03cc\u03c2 \u03c3\u03c5\u03bd\u03b1\u03c1\u03c4\u03ae\u03c3\u03b5\u03c9\u03bd \u03bc\u03b9\u03b1\u03c2 \u03bc\u03b5\u03c4\u03b1\u03b2\u03bb\u03b7\u03c4\u03ae\u03c2 \u03bc\u03b5 \u03c3\u03c4\u03bf\u03b9\u03c7\u03b5\u03af\u03b1 \u03b4\u03b9\u03b1\u03bd\u03c5\u03c3\u03bc\u03b1\u03c4\u03b9\u03ba\u03ae\u03c2 &amp; \u03b3\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03ae\u03c2 \u03ac\u03bb\u03b3\u03b5\u03b2\u03c1\u03b1\u03c2, \u0395\u03ba\u03b4\u03cc\u03c3\u03b5\u03b9\u03c2 \u03a7\u03c1\u03b9\u03c3\u03c4\u03bf\u03b4\u03bf\u03c5\u03bb\u03af\u03b4\u03b7\u03c2, \u0398\u03b5\u03c3\u03c3\u03b1\u03bb\u03bf\u03bd\u03af\u03ba\u03b7 2006<\/li>\r\n \t<li>\u03a3\u03bf\u03c5\u03c1\u03bb\u03ac\u03c2 \u0394\u03b7\u03bc\u03ae\u03c4\u03c1\u03b7\u03c2, \u0393\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03ae \u0386\u03bb\u03b3\u03b5\u03b2\u03c1\u03b1 \u03ba\u03b1\u03b9 \u0391\u03bd\u03b1\u03bb\u03c5\u03c4\u03b9\u03ba\u03ae \u0393\u03b5\u03c9\u03bc\u03b5\u03c4\u03c1\u03af\u03b1 , \u0395\u03ba\u03b4\u03cc\u03c3\u03b5\u03b9\u03c2 \u03a0\u03b1\u03bd\u03b5\u03c0\u03b9\u03c3\u03c4\u03b7\u03bc\u03af\u03bf\u03c5 \u03a0\u03b1\u03c4\u03c1\u03ce\u03bd, 2013<\/li>\r\n \t<li>\u039c\u03c0\u03c1\u03ac\u03c4\u03c3\u03bf\u03c2 \u0391\u03b8\u03b1\u03bd\u03ac\u03c3\u03b9\u03bf\u03c2, \u039c\u03b1\u03b8\u03ae\u03bc\u03b1\u03c4\u03b1 \u0391\u03bd\u03ce\u03c4\u03b5\u03c1\u03c9\u03bd \u039c\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ce\u03bd, ISBN 978-960-603-030-7, [\u03b7\u03bb\u03b5\u03ba\u03c4\u03c1. \u03b2\u03b9\u03b2\u03bb.] \u0391\u03b8\u03ae\u03bd\u03b1: \u03a3\u03cd\u03bd\u03b4\u03b5\u03c3\u03bc\u03bf\u03c2 \u0395\u03bb\u03bb\u03b7\u03bd\u03b9\u03ba\u03ce\u03bd \u0391\u03ba\u03b1\u03b4\u03b7\u03bc\u03b1\u03ca\u03ba\u03ce\u03bd \u0392\u03b9\u03b2\u03bb\u03b9\u03bf\u03b8\u03b7\u03ba\u03ce\u03bd, \u0397\u03bb\u03b5\u03ba\u03c4\u03c1\u03bf\u03bd\u03b9\u03ba\u03ae \u0394\u03b9\u03b5\u03cd\u03b8\u03c5\u03bd\u03c3\u03b7: https:\/\/repository.kallipos.gr\/handle\/11419\/424<\/li>\r\n \t<li>\u03a0\u03b1\u03c0\u03b1\u03ca\u03c9\u03ac\u03bd\u03bd\u03bf\u03c5 \u03a3\u03c4\u03b1\u03cd\u03c1\u03bf\u03c2, \u0392\u03bf\u03b3\u03b9\u03b1\u03c4\u03b6\u03ae, \u0394\u03ad\u03c3\u03c0\u03bf\u03b9\u03bd\u03b1, \u039c\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac \u0399, ISBN 978-960-603-427-5,\r\n[\u03b7\u03bb\u03b5\u03ba\u03c4\u03c1. \u03b2\u03b9\u03b2\u03bb.] \u0391\u03b8\u03ae\u03bd\u03b1: \u03a3\u03cd\u03bd\u03b4\u03b5\u03c3\u03bc\u03bf\u03c2 \u0395\u03bb\u03bb\u03b7\u03bd\u03b9\u03ba\u03ce\u03bd \u0391\u03ba\u03b1\u03b4\u03b7\u03bc\u03b1\u03ca\u03ba\u03ce\u03bd \u0392\u03b9\u03b2\u03bb\u03b9\u03bf\u03b8\u03b7\u03ba\u03ce\u03bd, \u0397\u03bb\u03b5\u03ba\u03c4\u03c1\u03bf\u03bd\u03b9\u03ba\u03ae \u0394\u03b9\u03b5\u03cd\u03b8\u03c5\u03bd\u03c3\u03b7: https:\/\/repository.kallipos.gr\/handle\/11419\/4551<\/li>\r\n \t<li>- [in Greek]. \u03a4\u03b5\u03c1\u03b6\u03af\u03b4\u03b7\u03c2 \u03a7\u03b1\u03c1\u03ac\u03bb\u03b1\u03bc\u03c0\u03bf\u03c2, \u039b\u03bf\u03b3\u03b9\u03c3\u03bc\u03cc\u03c2 \u03c3\u03c5\u03bd\u03b1\u03c1\u03c4\u03ae\u03c3\u03b5\u03c9\u03bd \u03bc\u03b9\u03b1\u03c2 \u03bc\u03b5\u03c4\u03b1\u03b2\u03bb\u03b7\u03c4\u03ae\u03c2 \u03bc\u03b5 \u03c3\u03c4\u03bf\u03b9\u03c7\u03b5\u03af\u03b1 \u03b4\u03b9\u03b1\u03bd\u03c5\u03c3\u03bc\u03b1\u03c4\u03b9\u03ba\u03ae\u03c2\r\n\u03b3\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03ae\u03c2 \u03ac\u03bb\u03b3\u03b5\u03b2\u03c1\u03b1\u03c2, \u0395\u03ba\u03b4\u03cc\u03c3\u03b5\u03b9\u03c2 \u03a7\u03c1\u03b9\u03c3\u03c4\u03bf\u03b4\u03bf\u03c5\u03bb\u03af\u03b4\u03b7\u03c2, \u0398\u03b5\u03c3\u03c3\u03b1\u03bb\u03bf\u03bd\u03af\u03ba\u03b7 2006\r\n- [In Greek]. \u03a3\u03bf\u03c5\u03c1\u03bb\u03ac\u03c2 \u0394\u03b7\u03bc\u03ae\u03c4\u03c1\u03b7\u03c2, \u0393\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03ae \u0386\u03bb\u03b3\u03b5\u03b2\u03c1\u03b1 \u03ba\u03b1\u03b9 \u0391\u03bd\u03b1\u03bb\u03c5\u03c4\u03b9\u03ba\u03ae \u0393\u03b5\u03c9\u03bc\u03b5\u03c4\u03c1\u03af\u03b1 , \u0395\u03ba\u03b4\u03cc\u03c3\u03b5\u03b9\u03c2 \u03a0\u03b1\u03bd\u03b5\u03c0\u03b9\u03c3\u03c4\u03b7\u03bc\u03af\u03bf\u03c5\r\n\u03a0\u03b1\u03c4\u03c1\u03ce\u03bd, 2013\r\n- [In Greek]. \u039c\u03c0\u03c1\u03ac\u03c4\u03c3\u03bf\u03c2 \u0391\u03b8\u03b1\u03bd\u03ac\u03c3\u03b9\u03bf\u03c2, \u039c\u03b1\u03b8\u03ae\u03bc\u03b1\u03c4\u03b1 \u0391\u03bd\u03ce\u03c4\u03b5\u03c1\u03c9\u03bd \u039c\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ce\u03bd, ISBN 978-960-603-030-7,\r\n[\u03b7\u03bb\u03b5\u03ba\u03c4\u03c1. \u03b2\u03b9\u03b2\u03bb.] \u0391\u03b8\u03ae\u03bd\u03b1: \u03a3\u03cd\u03bd\u03b4\u03b5\u03c3\u03bc\u03bf\u03c2 \u0395\u03bb\u03bb\u03b7\u03bd\u03b9\u03ba\u03ce\u03bd \u0391\u03ba\u03b1\u03b4\u03b7\u03bc\u03b1\u03ca\u03ba\u03ce\u03bd \u0392\u03b9\u03b2\u03bb\u03b9\u03bf\u03b8\u03b7\u03ba\u03ce\u03bd, \u0397\u03bb\u03b5\u03ba\u03c4\u03c1\u03bf\u03bd\u03b9\u03ba\u03ae\r\n\u0394\u03b9\u03b5\u03cd\u03b8\u03c5\u03bd\u03c3\u03b7: https:\/\/repository.kallipos.gr\/handle\/11419\/424\r\n[In Greek]. \u03a0\u03b1\u03c0\u03b1\u03ca\u03c9\u03ac\u03bd\u03bd\u03bf\u03c5 \u03a3\u03c4\u03b1\u03cd\u03c1\u03bf\u03c2, \u0392\u03bf\u03b3\u03b9\u03b1\u03c4\u03b6\u03ae, \u0394\u03ad\u03c3\u03c0\u03bf\u03b9\u03bd\u03b1, \u039c\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac \u0399, ISBN 978-960-603-427-5,\r\n[\u03b7\u03bb\u03b5\u03ba\u03c4\u03c1. \u03b2\u03b9\u03b2\u03bb.] \u0391\u03b8\u03ae\u03bd\u03b1: \u03a3\u03cd\u03bd\u03b4\u03b5\u03c3\u03bc\u03bf\u03c2 \u0395\u03bb\u03bb\u03b7\u03bd\u03b9\u03ba\u03ce\u03bd \u0391\u03ba\u03b1\u03b4\u03b7\u03bc\u03b1\u03ca\u03ba\u03ce\u03bd \u0392\u03b9\u03b2\u03bb\u03b9\u03bf\u03b8\u03b7\u03ba\u03ce\u03bd, \u0397\u03bb\u03b5\u03ba\u03c4\u03c1\u03bf\u03bd\u03b9\u03ba\u03ae\r\n\u0394\u03b9\u03b5\u03cd\u03b8\u03c5\u03bd\u03c3\u03b7: https:\/\/repository.kallipos.gr\/handle\/11419\/4551<\/li>\r\n<\/ul>","bib_journals":""},"_links":{"self":[{"href":"https:\/\/www.civil.ihu.gr\/en\/wp-json\/wp\/v2\/course\/1417","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.civil.ihu.gr\/en\/wp-json\/wp\/v2\/course"}],"about":[{"href":"https:\/\/www.civil.ihu.gr\/en\/wp-json\/wp\/v2\/types\/course"}],"author":[{"embeddable":true,"href":"https:\/\/www.civil.ihu.gr\/en\/wp-json\/wp\/v2\/users\/6"}],"version-history":[{"count":8,"href":"https:\/\/www.civil.ihu.gr\/en\/wp-json\/wp\/v2\/course\/1417\/revisions"}],"predecessor-version":[{"id":2667,"href":"https:\/\/www.civil.ihu.gr\/en\/wp-json\/wp\/v2\/course\/1417\/revisions\/2667"}],"acf:post":[{"embeddable":true,"href":"https:\/\/www.civil.ihu.gr\/en\/wp-json\/wp\/v2\/staff\/1382"}],"acf:term":[{"embeddable":true,"taxonomy":"course_type","href":"https:\/\/www.civil.ihu.gr\/en\/wp-json\/wp\/v2\/course_type\/12"},{"embeddable":true,"taxonomy":"semester","href":"https:\/\/www.civil.ihu.gr\/en\/wp-json\/wp\/v2\/semester\/10"}],"wp:attachment":[{"href":"https:\/\/www.civil.ihu.gr\/en\/wp-json\/wp\/v2\/media?parent=1417"}],"wp:term":[{"taxonomy":"semester","embeddable":true,"href":"https:\/\/www.civil.ihu.gr\/en\/wp-json\/wp\/v2\/semester?post=1417"},{"taxonomy":"course_type","embeddable":true,"href":"https:\/\/www.civil.ihu.gr\/en\/wp-json\/wp\/v2\/course_type?post=1417"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}