MA3001Differential Equations

这门课学什么

课程简介

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.

校方 PDF 第 2 页 · Abstract

课程内容

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.

校方 PDF 第 6 页 · Keyword Syllabus

预期学习成果

查看校方学习成果与对应条件

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.

校方 PDF 第 2 页 · Course Intended Learning Outcomes (CILOs)

我能不能修这门课

先修、建议先备和并修要求分别查看；等同及互斥条件也会影响选课。and 表示同时满足，or 表示备选；组合条件按下方原文分组阅读。

先修条件

MA2001 Multi-variable Calculus and Linear Algebra or equivalent

校方 PDF 第 1 页 · Prerequisites

建议先备知识

无（校方注明 Nil）

校方 PDF 第 1 页 · Precursors

并修要求

该版官方课纲未列明该项。

其他修读要求

该版官方课纲未列明该项。

等同课程及条件

无（校方注明 Nil）

校方 PDF 第 1 页 · Equivalent Courses

互斥课程及条件

无（校方注明 Nil）

校方 PDF 第 1 页 · Exclusive Courses

怎么考，怎样才算通过

考核方式

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

查看校方原始考核表与使用要求

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.

校方 PDF 第 4 页 · Continuous Assessment (%),Examination (%),Examination Duration (Hours)

通过条件

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.

校方 PDF 第 4 页 · Minimum Examination Passing Requirement (%),Additional Information for ATs