MATH3310 - Computational and Applied Mathematics - 2018/19

Course Year: 


  • There will be no tutorial class in the first week.
  • Assignment 1 has been posted. It will be due on Jan 31 before 6pm. Please put your HW into the HW mailbox outside the general office.
  • Assignment 1 has been amended on 29/1 at 1:30p.m.. More hints have been given and due date is changed to Feb 1st. Please feel free to consult the TA (email or otherwise) if you still find some difficulty.
  • (19/3) Prof. Lui is sick today, so a make-up class will be given on 23/4. Place and Time are TBA.
  • Due date of assignment 5 is changed to 19/4. If you do not want to come back on holiday, feel free to email your completed assignment to the TA.
  • We will have a make-up class on Tuesday (23/4) from 10:30am to 12:00pm at Lady Shaw Building 222.
  • You might get back your assignment 5.(23/4)

General Information


  • Prof. Ronald Lok Ming LUI
    • Office: LSB 207
    • Tel: 3943-7975
    • Email:

Teaching Assistant

  • Ho LAW
    • Office: LSB 222B
    • Tel: 3943-7963
    • Email:

Time and Venue

  • Lecture: Tu 10:30AM - 12:15PM, LSB LT4; Th 1:30PM - 2:15PM, LSB LT 3
  • Tutorial: Th 12:30PM - 1:15PM, LSB LT3

Course Description

This course introduces the general techniques frequently used in computational and applied mathematics. Applications can be found in different areas such as physics, engineering, imaging sciences and so on. Real world problems can usually be formulated by mathematical equations (e.g. differential, linear or nonlinear equations). Developing effective methods to solve and analyze these equations is therefore important. In this course, we aim to give a brief introduction of the methods frequently used in applied mathematics to solve these problems.

The outline of the course is summarized as follows:

1. Introduction: (a) Motivation of the course; (b) Mathematical modelling of real world problems;

2. Analytical approaches: (a) Initial value problem & Boundary value problem; (b) Analytic spectral (Fourier) method;

3. Numerical approach: Nuerical spectral method, iterative method for solving large linear system (Jacobi, Gauss-Seidel, SOR, (preconditioned) conjugate gradient etc), Multigrid method;

4. Eigenvalue problem

5. Energy minimization problems

6. Conformal mapping: dealing with complicated domains.

Lecture Notes

Tutorial Notes


Quizzes and Exams


Assessment Scheme

Homework assignment (written and programming) 15%
Midterm (March 7, 2019, in class) 35%
Final 50%

Honesty in Academic Work

The Chinese University of Hong Kong places very high importance on honesty in academic work submitted by students, and adopts a policy of zero tolerance on cheating and plagiarism. Any related offence will lead to disciplinary action including termination of studies at the University. Although cases of cheating or plagiarism are rare at the University, everyone should make himself / herself familiar with the content of the following website:

and thereby help avoid any practice that would not be acceptable.

Assessment Policy

Last updated: April 23, 2019 10:42:44