{"id":9649930,"date":"2019-06-01T00:20:00","date_gmt":"2019-05-31T21:20:00","guid":{"rendered":"http:\/\/iee.it.teithe.gr\/course\/%ce%bc%ce%b1%ce%b8%ce%b7%ce%bc%ce%b1%cf%84%ce%b9%ce%ba%ce%ac-%ce%b9\/"},"modified":"2025-02-09T23:21:03","modified_gmt":"2025-02-09T20:21:03","slug":"1101","status":"publish","type":"course","link":"https:\/\/www.iee.ihu.gr\/en\/course\/1101\/","title":{"rendered":"Mathematics \u0399"},"content":{"rendered":"<p><strong>Complex Numbers<\/strong>: Definition, operations, polar and exponential forms, form conversions, roots of complex numbers, solution of polynomial equations.<\/p>\n<p><strong>Linear Algebra<\/strong>: Vector Space, Linear dependence, Basis &#8211; Dimension of a vector space, Inner Product, Matrices, Matrix Operations and properties,\u00a0 Matrix Inversion, Elementary Row Operations, Gauss &#8211; Jordan elimination, Determinants and properties, Linear Systems, Eigenvalues &#8211; Eigenvectors.<\/p>\n<p><strong>Differential Calculus<\/strong>: Real functions, Limits, Continuity,\u00a0 Derivative, Derivative rules, Applications, Mean Value Theorem, Taylor Serial,\u00a0 De Hospital&#8217;s rule, Study of functions.<\/p>\n<p><strong>Integral Calculus<\/strong>: Indefinite Integral Integration by Parts &#8211; by Factors &#8211; by Substitution, Definite Integral, Properties, The Fundamental Theorem of Integral Calculus, Mean Value Theorem of Integral Calculus, Geometric Applications of Definite Integrals.<\/p>","protected":false},"author":1,"template":"","meta":{"_acf_changed":false,"inline_featured_image":false,"footnotes":""},"class_list":["post-9649930","course","type-course","status-publish","hentry"],"acf":[],"aioseo_notices":[],"post-meta-fields":{"course-semester":["1"],"_course-semester":["field_5d132f2c14d55"],"course-id":["1101"],"_course-id":["field_5d132b9c78b6e"],"course-group":[""],"_course-group":["field_5d14e905fe59a"],"course-type":["\u0393\u03a5"],"_course-type":["field_5d133c6ba1599"],"course-compulsory":["\u03a5\u03a0"],"_course-compulsory":["field_5d146d39805a6"],"course-field":["\u0393\u0393\u0394"],"_course-field":["field_5d146e248f2b3"],"course-ects":["6"],"_course-ects":["field_5d13518794761"],"course-hours-theory":["4"],"_course-hours-theory":["field_5d13521894762"],"course-hours-lab":[""],"_course-hours-lab":["field_5d1468d18a11f"],"_edit_lock":["1739132320:1"],"_edit_last":["1"],"course-school":["School of Engineering"],"_course-school":["field_5d132bf078b70"],"course-dept":["Department of Information and Electronic Engineering"],"_course-dept":["field_5d132c3a78b71"],"course-level":["1"],"_course-level":["field_5d132c5878b72"],"course-lang":["a:1:{i:0;s:2:\"el\";}"],"_course-lang":["field_5d133e246f04b"],"course-erasmus":["0"],"_course-erasmus":["field_5d133e8e6f04c"],"course-url":["https:\/\/exams-iee.the.ihu.gr\/course\/view.php?id=31"],"_course-url":["field_5d133f9b5c292"],"course-prerequisites":[""],"_course-prerequisites":["field_5d13405189c17"],"course-aim":["The aim of the course, as a general background course, is to provide students with the necessary mathematical knowledge, tools and techniques to handle a range of problems that arise in applications of computer science and electronic systems. Upon successful completion of the course, the student is expected to be able to:"],"_course-aim":["field_5d1353f985af8"],"course-goal-1":["Handle complex numbers in orthogonal, polar and exponential form and utilizes key tools of complex analysis."],"_course-goal-1":["field_5d13546e85af9"],"course-goal-2":["Understand and be able to use the concepts of vector spaces, linear independence, basis and dimension."],"_course-goal-2":["field_5d1354f885afa"],"course-goal-3":["Recognizes key matrix form and perform operations on them. Compute the row reduced echelon form of a matrix, using elementary row operations using the Gauss - Jordan elimination algorithm."],"_course-goal-3":["field_5d13550085afb"],"course-goal-4":["Solve systems of linear equations by utilizing the appropriate table methodology where appropriate. Compute the eigenvalues and eigenvectors of a matrix."],"_course-goal-4":["field_5d13550e85afc"],"course-goal-5":["Understand the basic concepts around the real functions (limits, continuity, derivatives) and is able to calculate derivatives using the associated rules. Be able to apply theorems related to differential calculus and compute the Taylor series expansion of a given function. Apply the process of function study to design its graph."],"_course-goal-5":["field_5d13551485afd"],"course-goal-6":["Compute indefinite integrals by applying one of the three main methodologies (by parts, by factors, by substitution)."],"_course-goal-6":["field_5d13551b85afe"],"course-goal-7":["Distinguish definite integrasl from the indefinite ones and be able to apply related integral calculus results to perform its calculation. Apply the relevant theory to calculate areas or volumes of geometric shapes that are appropriately described."],"_course-goal-7":["field_5d13552385aff"],"course-skills":["Work in multidisciplinary environement\r\nDevelopment of new research ideas\r\nImprovement of open minded, creative and inductive thought"],"_course-skills":["field_5d1355c25aeb4"],"course-teaching-method":["Face to face teaching."],"_course-teaching-method":["field_5d1383ec75a23"],"course-it-methods":["Notes and slides available in electronic form (in greek).\r\nUse of asynchronous learning platform (Moodle)."],"_course-it-methods":["field_5d1384b975a24"],"course-activity-1":["Lectures"],"_course-activity-1":["field_5d1387d7cba43"],"course-activity-workload-1":["52"],"_course-activity-workload-1":["field_5d1388b2cba46"],"course-activity-2":["Self-study"],"_course-activity-2":["field_5d13886ccba44"],"course-activity-workload-2":["108"],"_course-activity-workload-2":["field_5d1388e9cba47"],"course-activity-3":["Communication\/Collaboration"],"_course-activity-3":["field_5d138878cba45"],"course-activity-workload-3":["20"],"_course-activity-workload-3":["field_5d13890dcba49"],"course-activity-4":[""],"_course-activity-4":["field_5d138947cba4b"],"course-activity-workload-4":[""],"_course-activity-workload-4":["field_5d13891dcba4a"],"course-activity-5":[""],"_course-activity-5":["field_5d14ed2508982"],"course-activity-workload-5":[""],"_course-activity-workload-5":["field_5d14ed3708983"],"course-student-evaluation":["The final exam consists of 7-8 thought development exercises, on the following subjects:\r\n\r\n- Complex Numbers\r\n- Vector Spaces and Matrices\r\n- Linear Systems\r\n- Function study\r\n- Application of differential calculus resluts (Mean Value Theorem, Taylor, De Hospital, etc.)\r\n- Calculation of definite and indefinite integrals\r\n- Geometric application of definite integrals\r\n\r\nThe above examination scheme is communicated to the students through:\r\n\r\n(a) The course web page\r\n(b) The asynchronous learning platform Moodle\r\n(c) Announcements at the begining of the semester and during the lectures."],"_course-student-evaluation":["field_5d1389cff8c01"],"course-eudoxus-bib":["\u03a0\u0395\u03a4\u03a1\u0391\u039a\u0397\u03a3 \u039b. \u0391\u039d\u0394\u03a1\u0395\u0391\u03a3, \u03a0\u0395\u03a4\u03a1\u0391\u039a\u0397 \u0391. \u0394\u03a9\u03a1\u039f\u0398\u0395\u0391, \u03a0\u0395\u03a4\u03a1\u0391\u039a\u0397\u03a3 \u0391. \u039b\u0395\u03a9\u039d\u0399\u0394\u0391\u03a3, \"\u039c\u0391\u0398\u0397\u039c\u0391\u03a4\u0399\u039a\u0391 \u0399\", \u0395\u03ba\u03b4\u03cc\u03c4\u03b7\u03c2: \u03a0\u0395\u03a4\u03a1\u0391\u039a\u0397 \u0394\u03a9\u03a1\u039f\u0398\u0395\u0391 , \u0388\u03ba\u03b4\u03bf\u03c3\u03b7: 2, 2017, ISBN: 978-618-83244-0-4, [\u039a\u03c9\u03b4. \u0395\u03c5\u03b4\u03cc\u03be\u03bf\u03c5 77107076]\r\n\u03a7.\u039a. \u03a4\u03b5\u03c1\u03b6\u03af\u03b4\u03b7\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\u03b9\u03ac \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\u03bf\u03c5 \u039f.\u0395,, 2\u03b7 \u03ad\u03ba\u03b4\u03bf\u03c3\u03b7, 2006, ISBN: 960-8183-56-1, [\u039a\u03c9\u03b4. \u0395\u03c5\u03b4\u03cc\u03be\u03bf\u03c5 59367707]"],"_course-eudoxus-bib":["field_5d138e0af441c"],"course-greek-bib":["\u0391. \u0391\u03b8\u03b1\u03bd\u03b1\u03c3\u03b9\u03ac\u03b4\u03b7\u03c2, \"\u0394\u03b9\u03b1\u03c6\u03bf\u03c1\u03b9\u03ba\u03cc\u03c2 \u03ba\u03b1\u03b9 \u03bf\u03bb\u03bf\u03ba\u03bb\u03b7\u03c1\u03c9\u03c4\u03b9\u03ba\u03cc\u03c2 \u03bb\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 \u03ba\u03b1\u03b9 \u03b5\u03b9\u03c3\u03b1\u03b3\u03c9\u03b3\u03ae \u03c3\u03c4\u03b7 \u03b3\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03ae \u03ac\u03bb\u03b3\u03b5\u03b2\u03c1\u03b1\", \u0395\u03ba\u03b4\u03cc\u03c3\u03b5\u03b9\u03c2 \u0391. \u03a4\u03b6\u03b9\u03cc\u03bb\u03b1 &amp; \u03a5\u03b9\u03bf\u03af \u0391.\u0395, 4\u03b7 \u03ad\u03ba\u03b4\u03bf\u03c3\u03b7, 2001, ISBN: 960-8129-08-7.\r\n\u0394\u03b7\u03bc\u03b7\u03c4\u03c1\u03b1\u03ba\u03bf\u03cd\u03b4\u03b7\u03c2, \u0398\u03b5\u03bf\u03b4\u03ce\u03c1\u03bf\u03c5, \u039a\u03b9\u03ba\u03af\u03bb\u03b9\u03b1\u03c2, \u039a\u03bf\u03c5\u03c1\u03ae\u03c2, \u03a0\u03b1\u03bb\u03b1\u03bc\u03bf\u03cd\u03c1\u03b4\u03b1\u03c2 , \"\u0394\u03b9\u03b1\u03c6\u03bf\u03c1\u03b9\u03ba\u03cc\u03c2 \u039f\u03bb\u03bf\u03ba\u03bb\u03b7\u03c1\u03c9\u03c4\u03b9\u03ba\u03cc\u03c2 \u039b\u03bf\u03b3\u03b9\u03c3\u03bc\u03cc\u03c2\", \u0395\u03ba\u03b4\u03cc\u03c3\u03b5\u03b9\u03c2 \u0394\u03b7\u03c1\u03cc\u03c2 \u0391.\u0395, 1\u03b7 \u03ad\u03ba\u03b4\u03bf\u03c3\u03b7, 2002,"],"_course-greek-bib":["field_5d138e3cf441d"],"course-intl-bib":["Stewart J., \"Single Variable Calculus\", , Brooks\/Cole Pub Co, 3rd ed, 1994, ISBN: 0534218288.\r\nThomas, G.B., Weir M.D., Hass, J., Thomas, \"Calculus\", Addison Wesley, 12th Edition, 2009, ISBN: 0321587995.\r\nStrang G., \"Linear Algebra and its applications\u00a8\", Thomson, Brooks\/Cole, 2009."],"_course-intl-bib":["field_5d138e74f441e"],"course-rel-journals":[""],"_course-rel-journals":["field_5d138ec4f441f"],"course-teachers":["a:2:{i:0;s:7:\"9650977\";i:1;s:7:\"9651016\";}"],"_course-teachers":["field_5d3aa2923f803"],"course-coordinator":["a:1:{i:0;s:7:\"9650977\";}"],"_course-coordinator":["field_5faa4466f1b87"],"_wp_old_slug":["%ce%bc%ce%b1%ce%b8%ce%b7%ce%bc%ce%b1%cf%84%ce%b9%ce%ba%ce%ac-%ce%b9"],"_aioseo_title":[null],"_aioseo_description":[null],"_aioseo_keywords":["a:0:{}"],"_aioseo_og_title":[null],"_aioseo_og_description":[null],"_aioseo_og_article_section":[""],"_aioseo_og_article_tags":["a:0:{}"],"_aioseo_twitter_title":[null],"_aioseo_twitter_description":[null]},"_links":{"self":[{"href":"https:\/\/www.iee.ihu.gr\/en\/wp-json\/wp\/v2\/course\/9649930","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.iee.ihu.gr\/en\/wp-json\/wp\/v2\/course"}],"about":[{"href":"https:\/\/www.iee.ihu.gr\/en\/wp-json\/wp\/v2\/types\/course"}],"author":[{"embeddable":true,"href":"https:\/\/www.iee.ihu.gr\/en\/wp-json\/wp\/v2\/users\/1"}],"version-history":[{"count":1,"href":"https:\/\/www.iee.ihu.gr\/en\/wp-json\/wp\/v2\/course\/9649930\/revisions"}],"predecessor-version":[{"id":9673173,"href":"https:\/\/www.iee.ihu.gr\/en\/wp-json\/wp\/v2\/course\/9649930\/revisions\/9673173"}],"wp:attachment":[{"href":"https:\/\/www.iee.ihu.gr\/en\/wp-json\/wp\/v2\/media?parent=9649930"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}