MATH3310 - Computational and Applied Mathematics - 2019/20

Course Name: 
Computational and Applied Mathematics
Teacher: 
Prof. Ronald Lok Ming LUI
Course Year: 
2019/20
Term: 
2

Announcement

  • There will be no tutorial classes in the first week.
  • Homework 1 has been posted. It will be due on Feb 3 before 6pm. Please hand in your HW to the HW mailbox outside the general office of the Math. department.

  • (Feb 12, 2020) Announcement of special arrangement of lectures & tutorial sessions

    •  To reduce the risk of spreading the novel coronavirus, the university has announced to provide online teaching starting from 17 February until further notice. As such, we will be using ZOOM to hold the online lectures and tutorial sessions. 
    • Midterm exam will be postponed to after normal face-to-face teaching can be resumed (probably in the middle of March). In any unexpected cases, online exam might be adopted. More information will be announced when the situation becomes clearer.  
    • Please check your email and the course website regularly for updated announcement.


  • (Feb 12, 2020) Submission of homework assignments

    •  To reduce the risk of spreading the novel coronavirus, you are not recommended to submit your homework assignment physically. As such, you will submit your assignment by uploading the scanned copy via the Blackboard system. 
    • Log onto https://blackboard.cuhk.edu.hk/ and click on our course 2019R2 Computational and Applied Mathematics (MATH3310). Click on "Course contents" and click on "Homework X (Due...)". Follow the instructions therein to upload your solution. An illustration is as follows (click to enlarge the image):
    • Please scan your solution into a pdf file and save it as: YourStudentID_HWX.pdf. Upload it via the Blackboard system. There are several useful apps for you to take a picture of your solution and scan your document (such as CamScanner HD).


  • To access the recording of tutorials, go to here: https://drive.google.com/open?id=1JpNxFkhxmorgRAZeukVPPzHhlcrO2VYf

  • Arrangment of midterm examination

    Until now, the possibility of resuming face-to-face lectures is still unknown. As such, we need to make suitable arrangements for our midterm examination as follows:

     
    1. Midterm exam will be held on April 8, 2020.
    2. Midterm exam will be conducted online using "Blackboard" as a "take-home exam" with 24 hours limit. It will be available on April 8, 2020 at 2:30pm (scheduled lecture time on Wednesday) and deadline for submission (via "Blackboard") is April 9, 2020 at 2:30pm. It is expected that the paper can be finished within 3 hours. As such, the 24-hour limit should allow enough flexibility.
    3. Midterm exam will cover materials from Class Note 1 to Class Note 14.
    4. Your submitted solution will be checked carefully to avoid plagiarism. Discussions amongst classmates are strictly prohibited. Related to this, please kindly be reminded of the following regulations enforced by the university:
    "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."
    5. With this arrangement, lecture and tutorial session will be cancelled on April 8.
    6. Arrangement of final examination will be announced later.

  • TYPO IN THE MIDTERM EXAM PAPER:

    There is a typo in the formula of Q3b. The correct formula should be: 

    F^{-1}(e^{- i\beta k t} g(k,t))(x,t) = F^{-1}(g(k,t))(x-\beta t, t).

    Please download the updated examination paper and refer to the corrected formula therein.

  • Homework 4 has been posted. It will be due on April 29 before 6pm.

  • Arrangment of the final examination

    In light of the current situation, the original on-site final examination will be replaced by a "take-home exam" with 24 hours limit.  Details are as follows:

     1. "Take-home exam" will be held on May 15, 2020.
    2."Take-home exam" will be conducted online using "Blackboard" with 24 hours limit. It will be available on May 15, 2020 (Friday) at 8:30am and deadline for submission (via "Blackboard") is May 16, 2020 at 8:30am. It is expected that the paper can be finished within 3 hours. As such, the 24-hour limit should allow enough flexibility.
    3. Your submitted solution will be checked carefully to avoid plagiarism. Discussions amongst classmates are strictly prohibited. Related to this, please kindly be reminded of the following regulations enforced by the university:
     
    "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."
  • There will be a makeup class on May 4 at 2:30pm. Please use the same Zoom link.
  • Final Exam Amendment: In Q1b, the question should read: will ||A{\bf x}_j||_{\infty} always converge j tends to infinity.)

General Information

Lecturer

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

Teaching Assistant

  • Ho LAW
    • Office: LSB 222B
    • Tel: 3943-7963
    • Email:
  • He Xihao
    • Office: LSB 222C
    • Tel: 3943-8570
    • Email:

Time and Venue

  • Lecture: Mon 2:30PM - 4:15PM, LSB LT3; Wed 2:30PM - 3:15PM, LSB LT4
  • Tutorial: Wed 3:30PM - 4:15PM, 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 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.


Lecture Notes


Tutorial Notes


Assignments


Quizzes and Exams


Solutions


Assessment Scheme

Homework 15%
Midterm exam (April 8, 2020 at 2:30pm) 35%
Take home final exam (May 15, 2020) 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: May 15, 2020 13:42:53