MATH3310  Computational and Applied Mathematics  2017/18
Announcement
 There will be no tutorial class in the first week.
 Di Qiu is on leave on Feb 22 and 23. Please find Yusan if you have questions during those two days.
General Information
Lecturer

Ronald Lok Ming Lui
 Office: LSB 207
 Tel: 39437975
 Email:
Teaching Assistant

Qiu DI
 Office: LSB 222B
 Tel: 3943 7963
 Email:

Yusan LEUNG LIU
 Office: LSB 222B
 Tel: 3943 7963
 Email:
Time and Venue
 Lecture: Mon 4:30PM6:15PM, LSB LT2; Wed 3:30PM4:15PM, LSB LT4
 Tutorial: Wed 2:30PM3:15PM, 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 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
 Introduction: Course outline
 Lecture 1
 Lecture 2
 Lecture 3
 Lecture 4
 Lecture 5 & 6
 Lecture 7
 Lecture 8
 Lecture 9
 Lecture 10
 Lecture 11
 Lecture 12
 Lecture 13 & 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 note 1
 Tutorial note 2
 Tutorial note 3
 Tutorial note 4 (Section 2 updated)
 Tutorial note 5 (a numerical illustration added: Feb14)
 Tutorial note 6
 Tutorial note 7
 Tutorial note 8
 Tutorial note 9
 Tutorial note 10
 Tutorial note 11
Assignments
 Assignment 1, due Feb 2nd
 Assignment 2, due Feb 23rd (Q2 updated: Feb 13)
 Assignment 3, due Mar 9th
 Assignment 4, due Mar 26th
 Assignment 5, due Apr 9th
 Assignment 6, due Apr 27th
Quizzes and Exams
 Practice exercise 1 (Q2.3 typo corrected. Mar 13; Iterative methods added: Mar 9)
 Practice exercise 1 solution
Solutions
 Assignment 1 Solution (Q3 updated: Feb 12)
 Assignment 2 Solution (Q3 updated: Mar 5)
 Assignment 3 Solution (Q3 updated: Mar 28)
 Assignment 4 Solution
 Assignment 5 Solution
Assessment Scheme
Homework assignment (written and programming)  15%  
Midterm (March 14, Wed, 2:30pm4:15pm, in class)  35%  
Final  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: April 17, 2018 10:25:51