{"id":17831,"date":"2025-07-16T23:47:10","date_gmt":"2025-07-16T21:47:10","guid":{"rendered":"https:\/\/www2.mie.uth.gr\/?page_id=17831"},"modified":"2026-09-04T12:08:53","modified_gmt":"2026-09-04T09:08:53","slug":"%ce%b3%ce%b50104-partial-differential-equations-compulsory","status":"publish","type":"page","link":"https:\/\/mie.uth.gr\/?page_id=17831&lang=en","title":{"rendered":"\u0393\u03950104\u00a0Partial Differential Equations (Core)"},"content":{"rendered":"\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<\/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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\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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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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Umdergraduate
Core
\u0393\u03950104
4th (Spring)
5 hours\/week
6<\/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>Undergraduate
Course Type: <\/strong>\u03a5
Secretary Code: <\/strong>\u0393\u03950104
Semester: <\/strong>4th (Spring)
Duration: <\/strong>5 hours\/week
ECTS Units:\u00a0<\/strong>6
Instructor: <\/strong>Agoras Michalis<\/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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<\/i>Aim<\/span><\/div>

This is an undergraduate course on linear partial differential equations (PDEs) and associated boundary and boundary-initial value problems. Special emphasis is placed on fundamental concepts,solution methods and applications of PDEs to problems in Mechanical Engineering<\/p><\/div>\n\t\t\t\t\t<\/div>

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<\/i>Syllabus<\/span><\/div>
  • Sturm-Liouville Theory.<\/li>
  • Expansions in series of eigen-functions. Fourier series.<\/li>
  • Introduction to Scientific <\/li>
  • Computing with Mathematica.<\/li>
  • Classification of PDEs,<\/li>
  • Characteristic Curves \u2013 the Method of
    Characteristics.<\/li>
  • Elliptic Equations (Laplace, Poisson), the Methods of Separation of Variables and Finite Fourier Transform.<\/li>
  • Dirichlet & Neumann Problems.<\/li>
  • Applications to various coordinate systems.<\/li>
  • Solving Parabolic Equations (Heat Transfer) with the Method of Separation of Variables.<\/li>
  • Solving Hyperbolic Equations (Wave Equation) with the Method of Separation of Variables.<\/li>
  • Integral Fourier Transform.<\/li>
  • Heat Transfer and Wave Propagation in Infinite and Semi-Infinite Space.<\/li>
  • The Green\u2019s Function Method. <\/li><\/ul><\/div>\n\t\t\t\t\t<\/div>
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    <\/i>Literature<\/span><\/div>

    Suggested Literature:<\/span><\/strong>
    1. \u03a3. \u03a4\u03c1\u03b1\u03c7\u03b1\u03bd\u03ac\u03c2, “\u039c\u03b5\u03c1\u03b9\u03ba\u03ad\u03c2 \u0394\u03b9\u03b1\u03c6\u03bf\u03c1\u03b9\u03ba\u03ad\u03c2 \u0395\u03be\u03b9\u03c3\u03ce\u03c3\u03b5\u03b9\u03c2”
    2. \u039c\u03c5\u03bb\u03c9\u03bd\u03ac\u03c2, \u039d. & \u03a3\u03c7\u03bf\u03b9\u03bd\u03ac\u03c2, \u03a7., \u0394\u03b9\u03b1\u03c6\u03bf\u03c1\u03b9\u03ba\u03ad\u03c2 \u0395\u03be\u03b9\u03c3\u03ce\u03c3\u03b5\u03b9\u03c2, \u039c\u03b5\u03c4\u03b1\u03c3\u03c7\u03b7\u03bc\u03b1\u03c4\u03b9\u03c3\u03bc\u03bf\u03af \u03ba\u03b1\u03b9 \u039c\u03b9\u03b3\u03b1\u03b4\u03b9\u03ba\u03ad\u03c2 \u03a3\u03c5\u03bd\u03b1\u03c1\u03c4\u03ae\u03c3\u03b5\u03b9\u03c2, \u0395\u03ba\u03b4\u03cc\u03c3\u03b5\u03b9\u03c2 \u03a4\u03b6\u03b9\u03cc\u03bb\u03b1, 2015.
    3. \u03a3\u03c4\u03b1\u03c5\u03c1\u03b1\u03ba\u03ac\u03ba\u03b7\u03c2, \u039d., \u0394\u03b9\u03b1\u03c6\u03bf\u03c1\u03b9\u03ba\u03ad\u03c2 \u0395\u03be\u03b9\u03c3\u03ce\u03c3\u03b5\u03b9\u03c2: \u03a3\u03c5\u03bd\u03ae\u03b8\u03b5\u03b9\u03c2 \u03ba\u03b1\u03b9 \u039c\u03b5\u03c1\u03b9\u03ba\u03ad\u03c2, \u0395\u03ba\u03b4\u03cc\u03c3\u03b5\u03b9\u03c2 \u03a3\u03c4\u03b1\u03c5\u03c1\u03b1\u03ba\u03ac\u03ba\u03b7\u03c2, 2015.
    4. Haberman Richard (2004). Applied Partial Differential Equations, With Fourier Series and Boundary Value Problems (Fourth ed.). NJ: Pearson\/PrenticeHall.
    5. Strauss W.A. (2008). Partial Differential Equations, An Introduction. Hoboken, NJ: Wiley.
    6. Pinchover Y. and Rubistein J. (2005). An Introduction to Differential Equations. Cambridge: Cambridge University Press.<\/p>

    Related Academic Journals:<\/span><\/strong><\/p>

    • Journal of Engineering Mathematics<\/li>
    • SIAM Journal on Applied Mathematics<\/li><\/ul><\/div>\n\t\t\t\t\t<\/div>
      \n\t\t\t\t\t
      <\/i>Teaching Language<\/span><\/div>

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

      \n\t\t\t\t\t
      <\/i>Teaching Methods<\/span><\/div>

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

      \n\t\t\t\t\t
      <\/i>Student Performance Evaluation<\/span><\/div>
      Written Final Exams<\/strong><\/td>70%<\/td><\/tr>
      Midterm<\/strong><\/td>30%<\/td><\/tr><\/tbody><\/table><\/div>\n\t\t\t\t\t<\/div>
      \n\t\t\t\t\t
      <\/i>Workload (in hours)<\/span><\/div>

      \u00a0<\/h3>
      Activity<\/strong><\/td>Semester Workload<\/strong><\/td><\/tr>
      Lectures<\/td>70<\/td><\/tr>
      Homework<\/td>35<\/td><\/tr>
      Autonomous work<\/td>45<\/td><\/tr>
      Course Total<\/strong><\/td>150<\/strong><\/td><\/tr><\/tbody><\/table>

      \u00a0<\/h3>

      \u00a0<\/h3>

      \u00a0<\/h3><\/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\u03950104 PARTIAL DIFFERENTIAL EQUATIONS (CORE) \u0393\u03950104 PARTIAL DIFFERENTIAL EQUATIONS (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 CategoryCourse TypeSecretary CodeSemesterDurationECTS UnitsInstructor UmdergraduateCore\u0393\u039501044th (Spring)5 hours\/week6 Course Category: UndergraduateCourse Type:<\/p>\n","protected":false},"author":8,"featured_media":9407,"parent":13157,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-17831","page","type-page","status-publish","has-post-thumbnail","hentry"],"acf":[],"yoast_head":"\n\u0393\u03950104\u00a0Partial Differential Equations (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=17831&lang=en\" \/>\n<meta property=\"og:locale\" content=\"el_GR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u0393\u03950104\u00a0Partial Differential Equations (Core) - 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