MATH3310  Computational and Applied Mathematics  2024/25
Announcement
Submission of homework assignments
 Log onto https://blackboard.cuhk.edu.hk/ and click on our course 2024R1 Computational and Applied Mathematics (MATH3310). Click on "Course contents" and click on "Homework X (Due...)". Follow the instructions therein to upload your solution.
 Homework 1 has been posted. It will be due on September 24 before 11:59PM. Please submit the homework via the Blackboard system.
 There will be no tutorial in the first week.
General Information
Lecturer

Prof. Ronald Lok Ming LUI
 Office: LSB 207
 Tel: 39437975
 Email:
Teaching Assistant

Xu Zhehao
 Office: LSB 222B
 Tel: 39437963
 Email:

Chen Qiguang
 Office: LSB 222B
 Tel: 39437963
 Email:
Time and Venue
 Lecture: Tu 4:30PM  6:15PM (Mong Man Wai Bldg 710); Th 1:30PM  2:15PM (Lee Shau Kee Building LT4)
 Tutorial: Th 12:30PM  1:15PM (Lee Shau Kee Building LT4)
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 the solutions 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. Brief introduction on some commonly used analytical approaches: (a) Initial value problem & Boundary value problem; (b) Analytic spectral (Fourier) method;
3. Numerical approach: Numerical spectral method, iterative method for solving large linear system (Jacobi, GaussSeidel, SOR, (preconditioned) conjugate gradient etc), Multigrid method;
4. Eigenvalue problem
5. Energy minimization problems
6. Conformal mapping: dealing with complicated domains.
Class Notes
 Course outline
 Class note 1
 Class note 2
 Class note 3
 Class note 4
 Class note 5
 Class note 6
 Class note 7
 Class note 8
 Class note 9
 Class note 10
Tutorial Notes
 Tutorial 1(Sep 12)
 Tutorial 2(Sep 19)
 Solution to exercise in Tutorial1&2
 Tutorial 3（October 3）
 Tutorial 4 (October 4)
Assignments
Solutions
Assessment Scheme
Homework  15%  
Midterm (October 17, 12:30pm2:15pm in class)  35%  
Final (TBA)  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:
http://www.cuhk.edu.hk/policy/academichonesty/and thereby help avoid any practice that would not be acceptable.
Assessment Policy Last updated: October 09, 2024 14:34:36