{"id":4185,"date":"2026-01-16T10:02:31","date_gmt":"2026-01-16T10:02:31","guid":{"rendered":"https:\/\/devserver.admin.uoc.gr\/damsl\/?page_id=4185"},"modified":"2026-01-16T12:15:36","modified_gmt":"2026-01-16T12:15:36","slug":"damsl-091-numerical-algorithms","status":"publish","type":"page","link":"https:\/\/mscs.uoc.gr\/damsl\/damsl-091-numerical-algorithms\/","title":{"rendered":"DAMSL-091 Numerical Algorithms"},"content":{"rendered":"\t\t
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Preparatory<\/strong>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
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Course Code<\/strong><\/p>

DAMSL-091<\/strong><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

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\n\t\t\t\t\t\t\t\t\tTeaching Semester<\/strong>
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A semester<\/strong>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
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\n\t\t\t\t\t\t\t\t\tECTS Credits<\/strong>
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5<\/strong>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
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Student Performance Evaluation<\/h6>

Homework and\/or Lab Assignments, Final Exam and\/or Project<\/p><\/div><\/div><\/div>

Prerequisite Courses<\/h6>

Calculus I, Linear Algebra I, Python<\/p><\/div><\/div><\/div>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

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Syllabus<\/span><\/h6>
  • Floating point arithmetic,<\/li>
  • Stability of algorithms,<\/li>
  • Root finding algorithms: Bisection, Newton and Secant methods,<\/li>
  • Methods for solving linear systems: Direct methods (LU, Cholesky), Iterative methods (Jacobi, Gauss-Seidel, SOR, Steepest Descent, Conjugate Gradient),<\/li>
  • Singular Value Decomposition (SVD) and its applications,<\/li>
  • Least Squares problem,<\/li>
  • Interpolation and Numerical differentiation,<\/li>
  • Algorithms in Optimization,<\/li>
  • Monte Carlo methods.<\/li><\/ul><\/div><\/div><\/div>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
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    Learning Outcomes<\/span><\/h6>

    Upon completion of the course the students will be able to:<\/p>

    • Have good knowledge of the basic numerical algorithms in the field, their properties, and characteristics.<\/li>
    • Computer implementation of the algorithms<\/li>
    • Solution of basic applied problems using these algorithms<\/li>
    • Very good understanding of their capabilities, limitations, advantages, and disadvantages<\/li><\/ul><\/div><\/div><\/div>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
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      Type Preparatory Course Code DAMSL-091 Teaching Semester A semesterECTS Credits 5 Student Performance Evaluation Homework and\/or Lab Assignments, Final Exam and\/or Project Prerequisite Courses Calculus I, Linear Algebra I, Python Syllabus Floating point arithmetic, Stability of algorithms, Root finding algorithms: Bisection, Newton and Secant methods, Methods for solving linear systems: Direct methods (LU, Cholesky), Iterative methods (Jacobi, Gauss-Seidel, SOR, Steepest Descent, Conjugate Gradient), Singular Value Decomposition (SVD) and its applications, Least Squares problem, Interpolation and Numerical differentiation, Algorithms in Optimization, Monte Carlo methods. Learning Outcomes Upon completion of the course the students will be able to: Have good knowledge of the basic numerical algorithms in the field, their properties, and characteristics. Computer implementation of the algorithms Solution of basic applied problems using these algorithms Very good understanding of their capabilities, limitations, advantages, and disadvantages<\/p>\n","protected":false},"author":194,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"inline_featured_image":false,"footnotes":""},"class_list":["post-4185","page","type-page","status-publish","hentry","post-no-thumbnail"],"acf":[],"_links":{"self":[{"href":"https:\/\/mscs.uoc.gr\/damsl\/wp-json\/wp\/v2\/pages\/4185","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mscs.uoc.gr\/damsl\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/mscs.uoc.gr\/damsl\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/mscs.uoc.gr\/damsl\/wp-json\/wp\/v2\/users\/194"}],"replies":[{"embeddable":true,"href":"https:\/\/mscs.uoc.gr\/damsl\/wp-json\/wp\/v2\/comments?post=4185"}],"version-history":[{"count":13,"href":"https:\/\/mscs.uoc.gr\/damsl\/wp-json\/wp\/v2\/pages\/4185\/revisions"}],"predecessor-version":[{"id":4367,"href":"https:\/\/mscs.uoc.gr\/damsl\/wp-json\/wp\/v2\/pages\/4185\/revisions\/4367"}],"wp:attachment":[{"href":"https:\/\/mscs.uoc.gr\/damsl\/wp-json\/wp\/v2\/media?parent=4185"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}