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MA3514 Numerical Methods for Differential Equations
Part I Course Duration: One Semester Credit Units: 3 Level: B3 Prerequisites: Nil Precursors: Equivalent Courses: Nil Exclusive Courses: Nil Part II Course Aims: This course aims to introduce numerical methods and scientific computing techniques for matrix eigenvalue problems, least squares problems and differential equations. Course Intended Learning Outcomes (CILOs) No. CILOs Weighting 1. explain mathematical ideas of numerical methods in solving ordinary and partial differential equations. 2 2. manipulate computing softwares (including MATLAB) as differential equation solvers. 3 3. analyze solutions of differential equations with appropriate software package(s). 2 4. implement numerical and computational methods for solving initial and boundary value problems. 3 5. the combination of CILOs 1-4 3 Teaching and learning Activities (TLAs) Indicative of likely activities and tasks students will undertake to learn in this course. Final details will be provided to students in their first week of attendance in this course. TLAs CILO No. Hours/week Learning through teaching is primarily based on lectures. 1--5 39 hours in total Learning through take-home assignments helps students understand basic concepts and numerical techniques for solving initial value and boundary value problems, with implementation in analyzing concrete problems. 1--4 after-class Learning through project(s) helps students apply numerical and computational methods in solving more sophisticated ordinary/partial differential equations. 2--4 after-class Learning activities in Math Help Centre provides students extra help. 1, 3--4 after-class Assessment Tasks/Activities 70% Examination (Duration: 3 hours, at the end of the semester) For a student to pass the course, at least 30% of the maximum mark for the examination must be obtained. Assessment Tasks/Activities CILO No. Weighting Remarks Test 15-30% Questions are designed for the first part of the course to see how well the students have learned mathematical concepts and techniques of solving initial value problems for ordinary differential equations numerically. Hand-in assignments 0-15% These are skills based assessment to enable students to demonstrate techniques of solving differential equations via numerical methods and analyzing solutions with the aid of computing softwares. Project(s) 0-15% Students are assessed on their ability in applying numerical and computational methods to solve more sophisticated differential equations, as well as on the presentation of numerical results with analysis. Examination 70% Examination questions are designed to see how far students have achieved their intended learning outcomes. Questions will primarily be skills and understanding based to assess the student’s versatility in numerical methods for differential equations. Formative take-home assignments 0% The assignments provide students chances to demonstrate their achievements on solving and analyzing solutions of initial value and boundary value problems numerically. Grading of Student Achievement: Refer to Grading of Courses in the Academic Regulations Related Links
Department of Mathematics |
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