MATH3310  Computational and Applied Mathematics  2019/20
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.
 ZOOM link for lectures: https://cuhk.zoom.us/j/793986135 (Lecture time: Mon 2:30PM  4:15PM; Wed 2:30PM  3:15PM)
 ZOOM link for tutorial classes: https://cuhk.zoom.us/j/366597736 (Tutorial time: Wed 3:30PM  4:15PM)
 Midterm exam will be postponed to after normal facetoface 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.
 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.
(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 facetoface 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 "takehome 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 24hour 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 onsite final examination will be replaced by a "takehome exam" with 24 hours limit. Details are as follows:
1. "Takehome exam" will be held on May 15, 2020.2."Takehome 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 24hour 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: 39437975
 Email:
Teaching Assistant

Ho LAW
 Office: LSB 222B
 Tel: 39437963
 Email:

He Xihao
 Office: LSB 222C
 Tel: 39438570
 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, GaussSeidel, SOR, (preconditioned) conjugate gradient etc), Multigrid method;
4. Eigenvalue problem
5. Energy minimization problems
6. Conformal mapping: dealing with complicated domains.
Lecture Notes
 Course outline
 Lecture 1
 Lecture 2
 Lecture 3
 Lecture 4
 Lecture 5
 Lecture 6
 Lecture 7
 Lecture 8
 Lecture 9
 Lecture 10
 Lecture 11
 Lecture 12
 Lecture 13
 Lecture 14
 Lecture 15
 Lecture 16
 Lecture 17
 Lecture 18
 Lecture 19
 Lecture 20
 Lecture 21
 Lecture 22
 Lecture 23
 Lecture 24
 Lecture 25
Tutorial Notes
 Tutorial 1
 Tutorial 2
 Tutorial 3
 Tutorial 4
 Tutorial 5
 Tutorial 6
 Tutorial 7
 Tutorial 8
 Tutorial 9
 Tutorial 10
 Tutorial 11
Assignments
 Homework 1 (Amended on 3/2)(Deadline extended to Feb 21, 2019)
 Homework 2
 Homework 3(Amended on 29/3, and Deadline extended to 3/4)
 Homework 4 (Due on 29/4 before 6pm)
 Homework 5 (Due on 14/5 before 6pm)
Quizzes and Exams
 Practice Midterm
 Practice Midterm Solution
Midterm examination (Typo in Q3b. Please download the updated version)
 Practice final
 Practice final solution (partial solution, for reference only)
 Final Examination (In Q1b, the question should read: will A{\bf x}_j_{\infty} always converge j tends to infinity. ))
Solutions
Assessment Scheme
Homework  15%  
Midterm exam (April 8, 2020 at 2:30pm)  35%  
Take home final exam (May 15, 2020)  50% 
Useful Links
 Lecture 8 recording
 Lecture 9 recording
 Lecture 10 recording
 Lecture 11 recording
 Lecture 12 recording
 Lecture 13 recording
 Lecture 14 recording
 Lecture 15 recording
 Lecture 16 recording
 Lecture 17 recording
 Lecture 18 recording
 Lecture 19 recording
 Lecture 20 recording
 Lecture 21 recording
 Lecture 23 recording
 Lecture 24 recording
 Lecture 25 recording
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