Duration
: 15 - 18, 21 - 22 July 2014
Lectures
: 1:30 pm - 4:00 pm
Location
: Lady Shaw Building (LSB), Room 232B (LAB)
Course website: http://www.math.cuhk.edu.hk/~jwong/scim
1427
Instructor:
Dr. Jeff Chak-Fu
WONG
E-mail: jwong@math.cuhk.edu.hk
Office: Room 208, LSB
Phone extension: 2609 - 7987
Lecturer's office hours:
Please e-mail me if you have any questions.
Lab helper:
Marco Chan
E-mail: s1155031570@mailserv.cuhk.edu.hk
Lab helper:
Lam Ming-Fai
E-mail: s1155030985@mailserv.cuhk.edu.hk
Announcements
Aim
The
problem will introduce the mathematical aspects of optimal
control theory and apply it to biological models. These models
are
1.
mold and fungicide
2. bacteria
3. cancer
4. the epidemic model and
5. HIV treatment.
A
basic knowledge of differentation and integral calculs is
needed. Techniques on differential equations and computing
programming are introduced, e.g., MATLAB is used.
References
Optimal Control Applied to Biological Models, 1st Edition (c) 2007 by Suzanne Lenhart, John T. Workman, Boca Raton, Chapman & Hall/CRC.
Optimal
Control Systems, 1st Edition
(c) 2003 by Desineni Subbaram Naidu, Boca Raton, CRC Press.
An
Introduction to Optimal Control Problems in Life
Sciences and Economics, 1st Edition
(c) 2010 by Sebastian Anita, Viorel Arnautu, Vincenzo Capasso,
Birkhauser.
Format of the course
Course Schedule
| Date |
Topics |
In Class Exercise |
Take-Home Exercise |
| 15 July - Lecture 1 |
Basic
Calculus Refresher [Lecture note 1] Characterization of maxima and minima for a function [Lecture note 2] [Lecture note 3] [Lecture note 4] |
[In-Class Exercise 1] [In-Class Exercise 2] [In-Class Exercise 3] [In-Class Exercise 4] |
[Take Home 1] |
| 16 July - Lecture 2 |
Introduction to Ordinary Differential Equations [Lecture note 5] Introduction to MATLAB [Lecture note 6] [Lecture note 7] |
[In-Class Exercise 5] [In-Class Exercise 6] |
[Take Home 2] |
| 17 July - Lecture 3 | Calculus of
Variations [Lecture note 8] |
[In-Class Exercise 7] |
[Take Home 3] |
| 18 July - Lecture 4 | Optimal
Control [Lecture note 9] [Lecture note 10] [Lecture note 11] |
[In-Class Exercise 8] [In-Class Exercise 9] [In-Class Exercise 10] |
[Take Home 4] |
| 21 July - Lecture 5 |
Numerical
Solution of Optimal Control [Lecture note 12] |
[Take Home 5] |
|
| 22 July - Lecture 6 |
Biological
Models [Life Science Models] [Lab Exercise 1] [Lab Exercise 2] [Lab Exercise 3] |
|
July 2014
|
Sunday |
Monday |
Tuesday |
Wednesday |
Thursday |
Friday |
Saturday |
| 1 |
2 |
3 |
4 |
5 |
||
| 6 |
7 |
8 |
9 |
10 |
11 |
12 |
| 13 |
14 |
15 |
16 |
17 |
18 |
19 |
| 20 |
21 |
22 |
23 |
24 |
25 |
26 |
| 27 |
28 |
29 |
30 |
31 |