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 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. It also helps students to communicate and collaborate effectively in the team.

1, 4--6

after-class

Learning activities in Math Help Centre provides students extra help.

3--6

after-class

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

3---5

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

1--6

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 software packages.

Project(s)

1, 4--6

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

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 take-home assignments

1--6

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. Root-finding Methods.

Related Links
Department of Mathematics