# MATH3310 - Computational and Applied Mathematics - 2017/18

Course Year:
2017/18
Term:
2

### 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 4:30PM-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.

### Assessment Scheme

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