MATH3310 - Computational and Applied Mathematics - 2022/23

Announcement

• Typo in HW5 Q2 fixed
• Make-up Tutorial on 5th, December, 14:30 - 15:15. Zoom meeting ID: 983 5472 0233
• Special class arrangement: we will have a lecture from 12:30pm to 2:15pm on Dec 1 (Lai Chan Pui Ngong LT). No tutorial session on Dec 1.
• Q5 in HW3 is updated to fix a typo.
• The deadline of HW3 is postponed to Nov 14 before 11:59PM.
• Homework 3 has been posted. It will be due on November 10, 2022 before 1159PM. Please submit your homework via the Blackboard System.
• The due date of HW2 is extended to October 17 before 1159PM.
• Homework 2 has been posted. It will be due on October 14, 2022 before 1159PM. Please submit your homework via the Blackboard System.

• 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 2022R1 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 is due on September 26 2022 before 1159PM. Please submit the HW through Blackboard.
• There will be no tutorial in the first week.

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General Information

Lecturer

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

Teaching Assistant

• Lai Ka Ho
  • Office: LSB 222A
  • Email:
• Lin Chenran
  • Office: LSB 222A
  • Email:

Time and Venue

• Lecture: Tu 4:30PM - 6:15PM (Lee Shau Kee Building 304); Th 1:30PM - 2:15PM (Lai Chan Pui Ngong LT)
• Tutorial: Th 12:30PM - 1:15PM (Lai Chan Pui Ngong LT)

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

• 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
• Class Note 11
• Class Note 12
• Class Note 13
• Class Note 14
• Class Note 15
• Class Note 16
• Class Note 17
• Class Note 18
• Class Note 19
• Class Note 20
• Class Note 21
• Class Note 22
• Class Note 23

Tutorial Notes

• Tutorial 1
• Tutorial 2
• Tutorial 3
• Tutorial 4
• Tutorial 5
• Tutorial 6
• Tutorial 7
• Tutorial 7 matlab code
• Tutorial 8 (updated amendments)
• Tutorial 9
• Tutorial 10 Question
• Tutorial 10 Suggested solutions

Assignments

• Homework 1 (Due: September 26, 2022 before 1159PM). Please submit your HW through Blackboard. Updated Q3 on 17/09, Q6 on 23/09
• Homework 2 (Due: October 14, 2022 before 1159PM). Please submit your HW through Blackboard. Updated Q3 on 04/10
• Homework 3 (Extended: Due: November 14 2022 before 1159PM). Please submit your HW through Blackboard.) Updated Q5 on 10/11
• Homework 4 (Due: November 25, 2022 before 1159PM). Please submit your HW through Blackboard.
• Homework 5 (Due: December 9, 2022 before 1159PM). Please submit your HW through Blackboard. Updated Q2 on 03/12

Quizzes and Exams

• Practice midterm
• Practice midterm solution (Prepared by TA, for reference only)
• Practice final (please also revise all homework questions)
• Practice final suggested solution (Prepared by TA, for reference only)

Solutions

• Homework 1 solution (prepared by TA, for reference only) Updated Q5 on 19/10
• Homework 2 solution (prepared by TA, for reference only)
• Homework 3 solution (prepared by TA, for reference only)
• Homework 4 solution (prepared by TA, for reference only)

Assessment Scheme

Homework		15%
Midterm (October 20, 12:30pm-2:15pm in class)		35%
Final exam (TBA)		50%

Useful Links

• Recording of Lecture 2
• Recording of Lecture 3
• Recording of Lecture 4
• Recording of Lecture 5
• Recording of Lecture 7
• Recording of Lecture 9
• Recording of Lecture 10
• Recording of Lecture 11

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.

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Assessment Policy

Last updated: December 05, 2022 15:34:29