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.

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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 4:30PM-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, 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

• 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
• Practice exercise 2
• Practice exercise 2 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
• Assignment 6 Solution

Assessment Scheme

Homework assignment (written and programming)		15%
Midterm (March 14, Wed, 2:30pm-4:15pm, in class)		35%
Final		50%

Useful Links

• Additional materials (MIT 18.085)

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: May 02, 2018 13:01:07