MATH3310  Computational and Applied Mathematics  2016/17
Announcement
 There will be no tutorial class in the first week.
 HW1 has been posted.
 HW2 has been posted.
 Midterm exam will be held on March 8 from 2:30pm4:00pm at LSB LT4 (in class).
 HW3 has been posted.
 Lecture note 10 has been updated.
 Midterm examination will cover materials up to Lecture 13.
 HW4 has been posted.
 HW5 has been posted.
 HW6 has been posted.
 Typos in Lecture 25 has been fixed. The correction is in the red box on page 1.
General Information
Lecturer

Ronald Lok Ming Lui
 Office: LSB 207
 Tel: 39437975
 Email:
Time and Venue
 Lecture: Mon 4:30PM  6:15PM, LSB LT2; Wed 3:30PM  4:15PM, LSB LT4
 Tutorial: Wed 2:30PM  3:15PM, 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
 Lecture 6
 Lecture 7
 Lecture 8
 Lecture 9
 Lecture 10 (Updated on 23/2/2017)
 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
 Review class
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 (Due on Feb 3, Fri, by 6pm. Please submit your HW to the HW mailbox outside the General Office.)
 Practice exercise 1 (Optional)
 Homework 2 (Due on Feb 17, Fri, by 6pm. Please submit your HW to the HW mailbox outside the General Office.)
 Homework 3 (Due on March 3, Fri, by 6pm. Please submit your HW to the HW mailbox outside the General Office.)
 Practice exercise 2 (Optional, updated on Feb 27, 2017)
 Homework 4 (Updated on 23/2/2017) (Due on March 27, Mon, by 6:30pm. Please submit your HW to the HW mailbox outside the General Office.)
 Homework 5 (Due on April 10, Mon, by 6:30pm. Please submit your HW to the HW mailbox outside the General Office.)
 Homework 6 (Due on May 2, Tue, by 6:30pm. Please submit your HW to the HW mailbox outside the General Office.)
 Code for Homework 6 Question 5
 Final exam Practice exercise (Optional)
Solutions
 Solution to HW1 (Written by TA, for reference only)
 Solution to HW2 (Written by TA, for reference only)
 Solution to Practice Exercise 1 (Written by TA, for reference only, updated on 6/3/2017)
 Solution to Practice Exercise 2 (Written by TA, for reference only, updated on 6/3/2017)
 Solution to HW3 (Written by TA, for reference only)
 Solution to HW4 (Written by TA, for reference only)
 Solution to Midterm (Written by TA, for reference only)
 Solution to Final exam Practice exercise (Written by TA, for reference only)
 Solution to HW5 (Written by TA, for reference only)
 Solution to HW6 (Written by TA, for reference only)
Assessment Scheme
Homework assignment (written and programming)  15%  
Midterm (March 8, Wed, 2:30pm4:00pm, in class at LSB LT4)  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.
Last updated: May 03, 2017 18:43:08