# MATH3310 - Computational and Applied Mathematics - 2016/17

Course Year:
2016/17
Term:
2

### 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.

### 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.

### Assessment Scheme

 Homework assignment (written and programming) 15% Midterm (March 8, Wed, 2:30pm-4:00pm, in class at LSB LT4) 35% Final 50%