{"id":18267,"date":"2025-05-20T13:07:21","date_gmt":"2025-05-20T07:37:21","guid":{"rendered":"https:\/\/civileng.helashop.lk\/?page_id=18267"},"modified":"2025-05-20T13:34:01","modified_gmt":"2025-05-20T08:04:01","slug":"em211","status":"publish","type":"page","link":"https:\/\/eng.pdn.ac.lk\/civileng\/em211\/","title":{"rendered":"EM211"},"content":{"rendered":"\t\t
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Ordinary Differential Equations - EM211 <\/h2><\/span><\/div>\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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Credits : 2<\/p>

Prerequisites : –<\/p>

Compulsory\/Optional : Compulsory<\/p>
Aim(s)<\/th><\/tr><\/thead>
\u00a0To introduce analytical solving techniques of linear ordinary differential equations.<\/td><\/tr><\/tbody>
Intended Learning Outcomes<\/th><\/tr><\/thead>

On successful completion of the course, the students should be able to;<\/p>

  1. Identify and derive the mathematical models of many physical problems as differential equations.<\/li>
  2. Solve first order separable, linear and exact differential equations and reducible forms.<\/li>
  3. Solve higher order linear ordinary differential equations analytically using Doperators,method of undetermined coefficients and Laplace transformations and analyze the solution of such second order equations.<\/li>
  4. Apply matrix methods and Laplace transform in solving systems of linear systems ofordinary differential equations.<\/li><\/ol><\/td><\/tr><\/tbody>
Course content\/Course description<\/th><\/tr><\/thead>
  1. Introduction: Differential Equations as a mathematical model and classification.<\/li>
  2. First order ordinary Equations: Separable, linear, exact, reducible forms.<\/li>
  3. Higher order ordinary linear equations with constant coefficients: D-operators, undetermined coefficients; bracket method; solution behaviors.<\/li>
  4. Linear Systems: Eigenvalue and eigenvector method; decoupling; matrix exponential method.<\/li>
  5. Laplace Transforms: Laplace transform of functions and derivatives, solving ordinary differential equations and linear systems, convolution.<\/li><\/ol><\/td><\/tr><\/tbody>
Recommended Texts<\/th><\/tr><\/thead>
  1. R.K. Nagle, E.W. Saff, A.D. Snider,Fundamentals of Differential Equations, 8th edition, (2012), Pearson Education.<\/li>
  2. E. Kreyszig, Advanced Engineering Mathematics,9th edition, (2006), John Wiley &sons Inc.<\/li>
  3. Philip Franklin,Differential Equations for Engineers,5th edition, (1980), Dover Publications.<\/li><\/ol><\/td><\/tr><\/tbody><\/table>
    Time Allocation<\/th>Hours<\/th><\/tr><\/thead>
    Lectures<\/td>24<\/td><\/tr>
    Tutorials<\/td>4<\/td><\/tr>
    Practical<\/td>–<\/td><\/tr>
    Assignments<\/td>4<\/td><\/tr><\/tbody><\/table><\/div>
    \u00a0<\/div>
    Assessment<\/th>Percentage Marks<\/th><\/tr><\/thead>
    In-course<\/td><\/tr>
    Tutorials<\/td>10<\/td><\/tr>
    Mid Semester Examination<\/td>30<\/td><\/tr>
    End-semester<\/td>60<\/td><\/tr><\/tbody><\/table><\/div>\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\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"

    Ordinary Differential Equations – EM211 Credits : 2 Prerequisites : – Compulsory\/Optional : Compulsory Aim(s) \u00a0To introduce analytical solving techniques of linear ordinary differential equations. Intended Learning Outcomes On successful completion of the course, the students should be able to; … <\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-18267","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/eng.pdn.ac.lk\/civileng\/wp-json\/wp\/v2\/pages\/18267","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/eng.pdn.ac.lk\/civileng\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/eng.pdn.ac.lk\/civileng\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/eng.pdn.ac.lk\/civileng\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/eng.pdn.ac.lk\/civileng\/wp-json\/wp\/v2\/comments?post=18267"}],"version-history":[{"count":0,"href":"https:\/\/eng.pdn.ac.lk\/civileng\/wp-json\/wp\/v2\/pages\/18267\/revisions"}],"wp:attachment":[{"href":"https:\/\/eng.pdn.ac.lk\/civileng\/wp-json\/wp\/v2\/media?parent=18267"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}