MATH3310 - Computational and Applied Mathematics - 2017/18

Course Year: 
2017/18
Term: 
2

Announcement

  • There will be no tutorial class in the first week.
  • Di Qiu is on leave on Feb 22 and 23. Please find Yusan if you have questions during those two days.

General Information

Lecturer

  • Ronald Lok Ming Lui
    • Office: LSB 207
    • Tel: 39437975
    • Email:

Teaching Assistant

  • Qiu DI
    • Office: LSB 222B
    • Tel: 3943 7963
    • Email:
  • Yusan LEUNG LIU
    • Office: LSB 222B
    • Tel: 3943 7963
    • Email:

Time and Venue

  • Lecture: Mon 4:30PM-6:15PM, LSB LT2; Wed 3:30PM-4:15PM, LSB LT4
  • Tutorial: Wed 2:30PM-3:15PM, LSB 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 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


Assignments


Quizzes and Exams


Solutions


Assessment Scheme

Homework assignment (written and programming) 15%
Midterm (March 14, Wed, 2:30pm-4:15pm, in class) 35%
Final 50%

Useful Links


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: April 17, 2018 10:25:51