MA3001Differential Equations

What you will study

Course overview

This course aims to investigate both the occurrence of differential equations in science and engineering, and the methods available for their solutions. It is intended for students to learn methods and techniques of ordinary and partial differential equations. It will help students develop skills and the ability to think quantitatively and analyse problems critically.

Official PDF, page 2 · Abstract

Course content

Ordinary differential equations (7 weeks): First order differential equations, Second and higher order linear differential equations; Laplace transform; System of linear differential equations. Partial differential equations (6 weeks): Diffusion, wave and Laplace equations; Initial value problems; Fourier series; Boundary value problems.

Official PDF, page 6 · Keyword Syllabus

Intended learning outcomes

View official learning outcomes and conditions

CILOs                                               Weighting (if DEC-A1         DEC-A2          DEC-A3
                                                                   app.)
1              explain at high-level concepts from differential                     x            x
               equations and transforms.
2              implement basic operations in Fourier series                        x            x
               and Laplace transforms.
3              solve first and second order ordinary differential                                 x
               equations and systems of linear differential
               equations.
4              solve linear partial differential equations:                                      x
               diffusion, wave and Laplace equations.
5              develop advanced mathematical models through                                     x                x
               differential equations, and appropriately apply
               advanced mathematical and computational
               methods to a range of problems in engineering
               involving differential equations.

Official PDF, page 2 · Course Intended Learning Outcomes (CILOs)

Before you take this course

Check prerequisites, precursors and corequisites separately, together with equivalence and exclusion conditions. “and” means conditions must be met together; “or” marks alternatives. Read combined conditions in the groupings shown in the original text below.

Prerequisites

MA2001 Multi-variable Calculus and Linear Algebra or equivalent

Official PDF, page 1 · Prerequisites

Precursors

Nil

Official PDF, page 1 · Precursors

Corequisites

This edition of the official syllabus does not state this item.

Additional course requirements

This edition of the official syllabus does not state this item.

Equivalent courses and conditions

Nil

Official PDF, page 1 · Equivalent Courses

Exclusive courses and conditions

Nil

Official PDF, page 1 · Exclusive Courses

Assessment and passing the course

Assessment

Continuous Assessment (%): 30; Examination (%): 70; Examination Duration (Hours): 2

View the original assessment table and instructions

ATs               CILO No.            Weighting (%)            Remarks ("-" for      Allow Use of
                                                                                    nil entry)            GenAI?
1                    Test              2, 3, 4             20                       Questions are         No
                                                                                    designed for the
                                                                                    first part of the
                                                                                    course to see
                                                                                    how well the
                                                                                    students have
                                                                                    learned concepts
                                                                                    and techniques
                                                                                    of differential
                                                                                    equations.
2                    Hand-in           1, 2, 3, 4, 5       10                       These are skills    Yes
                     assignments                                                    based assessment
                                                                                    to see whether
                                                                                    the students are
                                                                                    familiar with
                                                                                    advanced concepts
                                                                                    and techniques
                                                                                    of ordinary and
                                                                                    partial differential
                                                                                    equations, and
                                                                                    some applications
                                                                                    in engineering.

3                       Formative take-  1, 2, 3, 4, 5        0                   The assignments     Yes
                        home assignments                                          provide students’
                                                                                  chances to
                                                                                  demonstrate their
                                                                                  achievements
                                                                                  on ordinary and
                                                                                  partial differential
                                                                                  equations, and
                                                                                  their applications
                                                                                  in engineering
                                                                                  learned in this
                                                                                  course.

Official PDF, page 4 · Continuous Assessment (%),Examination (%),Examination Duration (Hours)

Passing requirements

Minimum Examination Passing Requirement (%): 30 Additional Information for ATs: 30% Coursework 70% Examination (Duration: 2 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.

Official PDF, page 4 · Minimum Examination Passing Requirement (%),Additional Information for ATs