● 課程說明(Course Description)
數學建模之教學目標是希望學生能熟諳數據分析基本知識及技巧、具備用數學語言描述自然
現象或生活中的問題,並使用數學工具解決所提出之問題。

● 指定用書(Text Books)
1.
Stochastic Processes and Calculus:
An Elementary Introduction with Applications
Springer
Uwe Hassler


2.
Data-Driven Modeling & Scientific Computation: Methods for Complex Systems &
Big Data
Oxford University Press
J. Nathan Kutz

● 參考書籍(References)
1. Data-Driven Modeling & Scientific Computation: Methods for Complex Systems
&
Big Data
Oxford University Press
J. Nathan Kutz

2. Mathematics and Technology
(Springer Undergraduate Texts in Mathematics and
Technology) 2008th Edition

Christiane Rousseau and Yvan Saint-Aubin

https://link.springer.com/book/10.1007/978-0-387-69216-6

3. It's a Nonlinear World
(Springer Undergraduate Texts in Mathematics and
Technology) 2008th Edition

Richard H. Enns

https://link.springer.com/book/10.1007%2F978-0-387-75340-9

4.
The Mathematics of Medical Imaging
A Beginner’s Guide
(Springer Undergraduate Texts in Mathematics and
Technology)

Timothy G. Feeman

https://link.springer.com/book/10.1007%2F978-3-319-22665-1

5.
Linear Algebra, Signal Processing, and Wavelets - A Unified Approach
(Springer Undergraduate Texts in Mathematics and
Technology)

Ryan, Øyvind

● 教學方式(Teaching Method)
板書、上機實習、學生報告


● 教學進度(Syllabus)
Numerical software

Numerical method

Stochastic Calculus

Classical models

Possible Student project
1. How does Google work?
2. Linear algebra, signal processing, and wavelets.
3. Functional Biomarker Analysis.
4. Neuroscience and Hodgkin-Huxley model.
5. Dynamic activity of earthquake in southwestern region of Taiwan
6. It is a nonlinear world
7. Otherwise.

● 成績考核(Evaluation)
筆試:25%
上機實習及上課出席: 25%
project及報告: 50%