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 2:30pm-4:00pm 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.

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General Information

Lecturer

• Ronald Lok Ming Lui
  • Office: LSB 207
  • Tel: 3943-7975
  • 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
• 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, 2:30pm-4:00pm, 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.

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Last updated: May 03, 2017 18:43:08