MATH3310 - Computational and Applied Mathematics - 2024/25

Course Name: 
Computational and Applied Mathematics
Teacher: 
Prof. Ronald Lok Ming LUI
Course Year: 
2024/25
Term: 
1

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: 3943-7975
    • Email:

Teaching Assistant

  • Xu Zhehao
    • Office: LSB 222B
    • Tel: 3943-7963
    • Email:
  • Chen Qiguang
    • Office: LSB 222B
    • Tel: 3943-7963
    • 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, Gauss-Seidel, SOR, (preconditioned) conjugate gradient etc), Multigrid method;

4. Eigenvalue problem

5. Energy minimization problems

6. Conformal mapping: dealing with complicated domains.


Class Notes


Tutorial Notes


Assignments


Solutions


Assessment Scheme

Homework 15%
Midterm (October 17, 12:30pm-2:15pm 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