{"id":1422,"date":"2023-05-12T15:35:59","date_gmt":"2023-05-12T12:35:59","guid":{"rendered":"https:\/\/www.civil.ihu.gr\/?post_type=course&#038;p=1422"},"modified":"2026-05-19T18:46:09","modified_gmt":"2026-05-19T15:46:09","slug":"%ce%b3%ce%b5%ce%bd001","status":"publish","type":"course","link":"https:\/\/www.civil.ihu.gr\/en\/courses\/%ce%b3%ce%b5%ce%bd001\/","title":{"rendered":"Differential and Integral Calculus \u0399"},"author":6,"template":"","meta":{"_acf_changed":false},"semester":[10],"course_type":[12],"class_list":["post-1422","course","type-course","status-publish","hentry","semester-10","course_type-general_background"],"acf":{"code":"\u0393\u0395\u039d001 ","semester":10,"level":"1","teaching_activities":{"activity_1":{"description":"Lectures","weekly_hrs":4,"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":[2225],"coordinator":[2225],"content":"Course presentations: 1. Sets of numbers (natural, real, integer). Complex numbers (definition,\r\ncomplex plane, trigonometric form of a complex number, De Moivre\u2019s theorem, exponential form,\r\nEuler\u2019s formula). 2. The cartesian coordinate system, functions of a real variable, polynomial\r\nfunctions, properties. 3-4. Functions of a real variable, exponential and logarithmic functions,\r\nhyperbolic functions, properties, periodic functions, trigonometric and inverse circular functions, the\r\nconcept of limit and the definition of a function of a real variable 5. The concept of derivative of a\r\nnumber and the derivative of a real variable 6-7. Derivative of a composite function, derivative of\r\ninverse functions, higher order derivatives, fundamental theorems, conclusions about f(x) derived\r\nfrom the first and second derivatives, extrema. Taylor and Maclaurin series, vector functions and\r\ntheir derivatives 8. Indefinite Integration, definition, basic types, and properties, methods of\r\nintegration. 9. Methods of indefinite integration 10. Definite integration 11. Generalized integrals,\r\nintegrals with variable limits and their differentiation, integration of functions defined on two\r\nintervals, integrals in polar coordinates, volume of a solid of revolution 12-13. Application of definite\r\nintegration on the field of Civil Engineering.","goals":"Upon completing this course students should be able to use: 1. Sets of numbers with an emphasis on\r\ncomplex numbers 2. The real functions of a real variable (definition, limits, continuity) 3. Basic\r\nconcepts of calculus 4. Basic concepts of differential calculus 5. Their implementations on 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":52},"activity_2":{"description":"Individual study","workload":52},"activity_3":{"description":"Practice\/exercises","workload":26},"activity_4":{"description":"Course total (26 hours workload per ECTS credit)","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>Hass J., Heil C., Weir M.D., \u0391\u03c0\u03b5\u03b9\u03c1\u03bf\u03c3\u03c4\u03b9\u03ba\u03cc\u03c2 \u039b\u03bf\u03b3\u03b9\u03c3\u03bc\u03cc\u03c2, \u03a0\u03b1\u03bd\u03b5\u03c0\u03b9\u03c3\u03c4\u03b7\u03bc\u03b9\u03b1\u03ba\u03ad\u03c2 \u0395\u03ba\u03b4\u03cc\u03c3\u03b5\u03b9\u03c2 \u039a\u03c1\u03ae\u03c4\u03b7\u03c2, \u039a\u03c1\u03ae\u03c4\u03b7 2005, ISBN 978-960-524-515-3, \u039a\u03c9\u03b4\u03b9\u03ba\u03cc\u03c2 \u03c3\u03c4\u03bf\u03bd \u0395\u03cd\u03b4\u03bf\u03be\u03bf: 77107082<\/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, [\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<\/ul>","bib_journals":""},"_links":{"self":[{"href":"https:\/\/www.civil.ihu.gr\/en\/wp-json\/wp\/v2\/course\/1422","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":6,"href":"https:\/\/www.civil.ihu.gr\/en\/wp-json\/wp\/v2\/course\/1422\/revisions"}],"predecessor-version":[{"id":2669,"href":"https:\/\/www.civil.ihu.gr\/en\/wp-json\/wp\/v2\/course\/1422\/revisions\/2669"}],"acf:post":[{"embeddable":true,"href":"https:\/\/www.civil.ihu.gr\/en\/wp-json\/wp\/v2\/staff\/2225"}],"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=1422"}],"wp:term":[{"taxonomy":"semester","embeddable":true,"href":"https:\/\/www.civil.ihu.gr\/en\/wp-json\/wp\/v2\/semester?post=1422"},{"taxonomy":"course_type","embeddable":true,"href":"https:\/\/www.civil.ihu.gr\/en\/wp-json\/wp\/v2\/course_type?post=1422"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}