MATH3310 - Computational and Applied Mathematics - 2018/19
Announcement
- There will be no tutorial class in the first week.
- Assignment 1 has been posted. It will be due on Jan 31 before 6pm. Please put your HW into the HW mailbox outside the general office.
- Assignment 1 has been amended on 29/1 at 1:30p.m.. More hints have been given and due date is changed to Feb 1st. Please feel free to consult the TA (email or otherwise) if you still find some difficulty.
- (19/3) Prof. Lui is sick today, so a make-up class will be given on 23/4. Place and Time are TBA.
- Due date of assignment 5 is changed to 19/4. If you do not want to come back on holiday, feel free to email your completed assignment to the TA.
- We will have a make-up class on Tuesday (23/4) from 10:30am to 12:00pm at Lady Shaw Building 222.
- You might get back your assignment 5.(23/4)
General Information
Lecturer
-
Prof. Ronald Lok Ming LUI
- Office: LSB 207
- Tel: 3943-7975
- Email:
Teaching Assistant
-
Ho LAW
- Office: LSB 222B
- Tel: 3943-7963
- Email:
Time and Venue
- Lecture: Tu 10:30AM - 12:15PM, LSB LT4; Th 1:30PM - 2:15PM, LSB LT 3
- Tutorial: Th 12:30PM - 1:15PM, LSB LT3
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
- 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
- Revision
Tutorial Notes
- Tutorial 1
- Tutorial 2
- Tutorial 3(corrected, 6/3)
- Tutorial 4
- Tutorial 5(written by Bamieh)
- Tutorial 6
- Tutorial 7
- Tutorial 8
- Tutorial 9
- Tutorial 10
- Tutorial 11
Assignments
- Assignment 1 (Due on Feb 1, typo corrected in Q5)
- Assignment 2
- Assignment 3(Updated)
- Assignment 4(updated on 26/3, hint to Q6 added)
- Assignment 5(Updated on 16/4. This is the last HW, the due date is extended to 19/4)
Quizzes and Exams
Solutions
- HW1 Solution
- HW2 Solution
- HW3 Solution
- HW4 Solution
- HW4 - fast_multiply.m
- HW5 Solution Part 1
- HW5 Solution Part 2
Assessment Scheme
| Homework assignment (written and programming) | 15% | |
| Midterm (March 7, 2019, in class) | 35% | |
| Final | 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: April 23, 2019 10:42:44