MA3513 Elementary Numerical Methods
Part I Course Duration: One Semester Credit Units: 4 Level: B3 Medium of Instruction: English Prerequisites: MA2503 Precursors: Nil Equivalent Courses: Nil Exclusive Courses: MA3004
Part II Course Aims: This course aims to give an introduction of elementary numerical methods. It trains students to apply numerical methods in solving problems in calculus, linear algebra and differential equations, as well as to use software packages in writing computer programs and analyzing solutions of problems. The course also serves to give students practice in clear and concise written and spoken communication of the results of an investigation. Course Intended Learning Outcomes (CILOs) Upon successful completion of this course, students should be able to: No.  CILOs  Weighting (if applicable)  1.  manipulate computing softwares, such as MATLAB, as tools in solving and analyzing solutions of problems.  2  2.  design programs of numerical computation with MATLAB.  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.  evaluate integrals and interpolating polynomial numerically.  2  6.  solve nonlinear equations by using an algorithmic approach in technique.  2  7.  the combination of CILOs 16  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.  17  39 hours in total  Learning through tutorials is primarily based on interactive problem solving and handon computer exercises allowing instant feedback.  1, 2  2 hours  3  1 hour  4  4 hours  5  3 hours  6  3 hours  Learning through takehome assignments helps students understand basic concepts and techniques of numerical methods as well as their applications to linear algebra, polynomial interpolation and integration.  16  afterclass  Learning through project(s) helps students apply numerical and computational methods in solving more sophisticated problems in linear algebra, polynomial interpolation and integration. It also helps students to communicate and collaborate effectively in the team.  1, 46  afterclass  Learning activities in Math Help Centre provides students extra help.  36  afterclass 
Assessment Tasks/Activities (designed to assess how well the students achieve the CILOs)
30% Coursework 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 (if applicable)  Remarks  Test  35  1530%  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.  Handin assignments  16  015%  These are skills based assessment to enable students to approach mathematical problems via numerical means and to analyze solutions with the aid of computing software packages.  Project(s)  1, 46  015%  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  7  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 takehome assignments  16  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 Part III Keyword Syllabus: MATLAB for numerical computation, Computer Arithmetics. Linear System of Equations. Polynomial Interpolation and Splines. Numerical Integration. Least Squares Problems. Matrix Eigenvalue Problem. Rootfinding Methods.
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