{"id":17675,"date":"2025-07-16T20:28:14","date_gmt":"2025-07-16T18:28:14","guid":{"rendered":"https:\/\/www2.mie.uth.gr\/?page_id=17675"},"modified":"2025-10-25T21:12:42","modified_gmt":"2025-10-25T18:12:42","slug":"%ce%b3%ce%b50101-applied-mathematics-i-compulsory","status":"publish","type":"page","link":"https:\/\/mie.uth.gr\/?page_id=17675&lang=en","title":{"rendered":"\u0393\u03950101 Applied Mathematics I (Core)"},"content":{"rendered":"\t\t
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\u0393\u03950101 Applied Mathematics I (Core)<\/h1>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t
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\u0393\u03950101 Applied Mathematics I (Core)<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t
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Course Information<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t
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Course Outline<\/u><\/span><\/a><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t

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\u03a0\u03bb\u03b7\u03c1\u03bf\u03c6\u03bf\u03c1\u03af\u03b5\u03c2 \u039c\u03b1\u03b8\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
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\u03a0\u03b5\u03c1\u03af\u03b3\u03c1\u03b1\u03bc\u03bc\u03b1 \u039c\u03b1\u03b8\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2<\/a><\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t

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\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t
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Course Category<\/strong>
Course Type<\/strong>
Secretary Code<\/strong>
Semester<\/strong>
Duration<\/strong>
ECTS Units<\/strong>
Instructor<\/strong><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t

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Undergraduate
Core
\u0393\u03950101
1st (Winter)
5 hours\/week
6
Chatzaras Ioannis<\/strong><\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t

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Course Category: <\/strong>Undergaduate
Course Type: <\/strong>Core
Secretary Code: <\/strong>\u0393\u03950101
Semester: <\/strong>1\u03bf (Winter)
Duration: <\/strong>5 hours\/week
ECTS Units: <\/strong>6
Instructor: Chatzaras Ioannis<\/a><\/strong><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t

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<\/i>Aim<\/span><\/div>

This course aims to provide to the students all those mathematical notions in order to develop and upgrade their mathematical way of thinking in understanding and problem solving. Following the successful completion of the course it is expected that the students are able to learn and to use mathematical tools such as differentiation and integration, sequences and series and basic elements of analytic and differential geometry in describing and problem solving.\u00a0\u00a0<\/p><\/div>\n\t\t\t\t\t<\/div>

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<\/i>Sylabus<\/span><\/div>
  • Basic notions of functions (inverse function).<\/li>
  • Trigonometric and Hyperbolic functions and their inverse.<\/li>
  • Limit continuity and the differential of a function of one variable.<\/li>
  • Theorem L\u2019 Hopital. Techniques of integration. Definite integral and its applications (plane area, length of a curve, volume of a solid of revolution).<\/li>
  • The improper integral.\u00a0<\/li>
  • The notion of\u00a0\u00a0a sequence. Limit of a sequence. Infinite series.<\/li>
  • Criteria of series convergence.<\/li>
  • Power series and its radius of convergence. Taylor\u2019s theorem.\u00a0 Inner and outer product of vectors. Parametric equations of a line in 3\u2010dimensional space. Equation of plane.<\/li>
  • Polar coordinates.\u00a0\u00a0Vector function and Curves. Velocity and acceleration. Curvature of a curve. Partial and directional derivative<\/li><\/ul><\/div>\n\t\t\t\t\t<\/div>
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    <\/i>Literature<\/span><\/div>

    Suggested Literature:<\/strong><\/span>
    1. \u0391\u03c0\u03b5\u03b9\u03c1\u03bf\u03c3\u03c4\u03b9\u03ba\u03cc\u03c2 \u039b\u03bf\u03b3\u03b9\u03c3\u03bc\u03cc\u03c2, (\u03b5\u03bd\u03b9\u03b1\u03af\u03bf\u03c2 \u03a4\u03cc\u03bc\u03bf\u03c2) Finney\u2010Weir\u2010Giordano, \u0399\u03a4\u0395\/\u03a0\u03b1\u03bd\/\u03ba\u03b5\u03c2 \u0395\u03ba\u03b4\u03cc\u03c3\u03b5\u03b9\u03c2 \u039a\u03c1\u03ae\u03c4\u03b7\u03c2.
    2. \u039c. \u0391\u03b4\u03ac\u03bc, \u0399. \u03a7\u03b1\u03c4\u03b6\u03ac\u03c1\u03b1, \u039d. \u0391\u03c3\u03b7\u03bc\u03ac\u03ba\u03b7, https:\/\/repository.kallipos.gr\/handle\/11419\/6356.
    3. \u039c\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ae \u0391\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7 \u0399, \u0398. \u03a1\u03b1\u03c3\u03c3\u03b9\u03ac\u03c2, \u03b5\u03ba\u03b4\u03cc\u03c3\u03b5\u03b9\u03c2 \u03a4\u03c3\u03cc\u03c4\u03c1\u03b1\u03c2
    4. \u039c\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ae \u0391\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7 \u0399\u0399, \u0398. \u03a1\u03b1\u03c3\u03c3\u03b9\u03ac\u03c2, \u03b5\u03ba\u03b4\u03cc\u03c3\u03b5\u03b9\u03c2 \u03a4\u03c3\u03cc\u03c4\u03c1\u03b1\u03c2<\/p><\/div>\n\t\t\t\t\t<\/div>

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    <\/i>Teaching Language<\/span><\/div>

    Greek<\/p><\/div>\n\t\t\t\t\t<\/div>

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    <\/i>Teaching Method<\/span><\/div>

    Lectures<\/p><\/div>\n\t\t\t\t\t<\/div>

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    <\/i>Student Performance Evaluation<\/span><\/div>

    \u00a0<\/p>
    Final Exams<\/strong><\/td>\u00a0 100%<\/td><\/tr>
    \u00a0<\/td>\u00a0<\/td><\/tr><\/tbody><\/table><\/div>\n\t\t\t\t\t<\/div>
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    <\/i>WorkLoad (in hours)<\/span><\/div>
    Activity<\/strong><\/td>Semester workload<\/strong><\/td><\/tr>
    Lectures<\/td>60<\/td><\/tr>
    Exercises<\/td>30<\/td><\/tr>
    Autonomous Work<\/td>60<\/td><\/tr>
    Course Total (25 hours workload per ECTS)\u00a0<\/strong><\/td>150<\/strong><\/td><\/tr><\/tbody><\/table><\/div>\n\t\t\t\t\t<\/div><\/div>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"

    \u0393\u03950101 Applied Mathematics I (Core) \u0393\u03950101 Applied Mathematics I (Core) Course Information Course Outline \u03a0\u03bb\u03b7\u03c1\u03bf\u03c6\u03bf\u03c1\u03af\u03b5\u03c2 \u039c\u03b1\u03b8\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2 \u03a0\u03b5\u03c1\u03af\u03b3\u03c1\u03b1\u03bc\u03bc\u03b1 \u039c\u03b1\u03b8\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2 Course Category Course Type Secretary Code Semester Duration ECTS Units Instructor Undergraduate<\/p>\n","protected":false},"author":7,"featured_media":9407,"parent":13157,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-17675","page","type-page","status-publish","has-post-thumbnail","hentry"],"acf":[],"yoast_head":"\n\u0393\u03950101 Applied Mathematics I (Core) - \u03a4\u03bc\u03ae\u03bc\u03b1 \u039c\u03b7\u03c7\u03b1\u03bd\u03bf\u03bb\u03cc\u03b3\u03c9\u03bd \u039c\u03b7\u03c7\u03b1\u03bd\u03b9\u03ba\u03ce\u03bd<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mie.uth.gr\/?page_id=17675&lang=en\" \/>\n<meta property=\"og:locale\" content=\"el_GR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u0393\u03950101 Applied Mathematics I (Core) - 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