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 makeup 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 makeup 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: 39437975
 Email:
Teaching Assistant

Ho LAW
 Office: LSB 222B
 Tel: 39437963
 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, 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
 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