MA3514 Numerical Methods for Differential Equations

Part I

Course Duration: One Semester

Credit Units: 3

Level: B3

Prerequisites: Nil

Precursors:
MA3511 Ordinary Differential Equations; MA3513 Elementary Numerical Methods

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)
Upon successful completion of this course, students should be able to:

No.

CILOs

Weighting
(if applicable)

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)
(designed to facilitate students’ achievement of the CILOs)

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
(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

1, 3--4

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

1--4

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)

2--4

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

5

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

1--4

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