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MA3513 Elementary Numerical Methods
Part I Course Duration: One Semester Credit Units: 4 Level: B3 Medium of Instruction: English Prerequisites: NIL Precursors: MA2501 Calculus I; MA2503 Linear Algebra Equivalent Courses: NIL Exclusive Courses: NIL Part II Course Aims: Course Intended Learning Outcomes (CILOs) No. CILOs Weighting 1. manipulate computing softwares, such as MATLAB, as tools in solving and analyzing solutions of problems. 2 2. write programs of numerical computation with C++ programming language. 1 3. explain clearly mathematical concepts of basic numerical methods. 1 4. apply computational techniques in linear algebra, such as solving a linear system, matrix eigenvalue problem and the least squares problem. 3 5. perform integration and polynomial interpolation numerically. 2 6. implement an algorithmic approach in approximating roots of equations. 2 7. the combination of CILOs 1-6 2 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--7 39 hours in total Learning through tutorials is primarily based on interactive problem solving and hand-on computer exercises allowing instant feedback. 1, 2 2 hours 3 1 hour 4 4 hours 5 3 hours 6 3 hours Learning through take-home assignments helps students understand basic concepts and techniques of numerical methods as well as their applications to linear algebra, polynomial interpolation and integration. 1--6 after-class Learning through project(s) helps students apply numerical and computational methods in solving more sophisticated problems in linear algebra, polynomial interpolation and integration. 1, 4--6 after-class 3--6 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 the basic concepts of numerical methods and their applications in solving problems of linear algebra and polynomial interpolation. Hand-in assignments 0-15% These are skills based assessment to enable students to approach mathematical problems via numerical means and to analyze 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 mathematical problems, 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 basic numerical methods. Formative take-home assignments 0% The assignments provide students chances to demonstrate their achievements on numerical methods learned in this course. Grading of Student Achievement: Refer to Grading of Courses in the Academic Regulations Keyword Syllabus: MATLAB, C++ concepts for numerical computation, Computer Arithmetics. Linear System of Equations. Polynomial Interpolation and Splines. Numerical Integration. Least Squares Problems. Matrix Eigenvalue Problem. Root-finding Methods. Related Links
Department of Mathematics |
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