課程資訊
課程名稱
數學建模
MATHEMATICAL MODELING 
開課學期
97-1 
授課對象
理學院  數學系  
授課教師
郭鴻基 
課號
MATH5405 
課程識別碼
221 U4930 
班次
 
學分
全/半年
半年 
必/選修
選修 
上課時間
星期五7,8(14:20~16:20) 
上課地點
新204 
備註
與林長壽合開
總人數上限:50人 
Ceiba 課程網頁
http://ceiba.ntu.edu.tw/971mathmod 
課程簡介影片
 
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課程大綱
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課程概述

This course will discuss the book of Modeling differential equation in biology by C. H. Taubes. The book is based on a very successful one-semester course taught at Harvard University for life science students. The book covers the basics of ordinary differential equations, partial differential equations, and dynamic system analysis. Each chapter is with accompanying articles from the current biology and earth science research literatures (most from Science and Nature) that illustrate the utility of the mathematics learned in the chapter. These articles are to make convincing example that the mathematics learned is essential and relevant to the scientific research. Even the book has the title in biology; the course is suited for general students in science and engineering. The students will be required to read the supporting articles and to present in the class. 

課程目標
This course is aim to give a college-level science student how to use differential equations to facilitate the scientific research. The students will learn the usage of mathematical model to distill theories from empirical data and to quantify the theories with a set of governing mathematical equations. 課程討論如何以數學模式強化科學研究。學生學習數學模式協助從資料建立理論,以及對理論的數質量化。 
課程要求
Knowledge of basic calculus and ordinary differential equation.
(基礎微積分以及全微分方程)
 
預期每週課後學習時數
 
Office Hours
 
指定閱讀
 
參考書目
Modeling differential equations in biology, by C. H. Taubes (ISBN 978-0-521-
70843-2) 
評量方式
(僅供參考)
 
No.
項目
百分比
說明
1. 
Based on the class presentation and discussion performance. 
100% 
 
 
課程進度
週次
日期
單元主題
第5週
10/17  Chap 23:Periodic Solutions
by 吳家宜 
第6週
10/24  Chap 2:Exponential Growth by 翁宗睿; Chap 3 Introduction to Differential Equations by 郭庭君 
第7週
10/31  Chap 4: Stability in a One-Component System & Chap 5: Systems of First-Order Differential Equations by 董念恩 
第8週
11/07  停課一次 
第9週
11/14  Chap 14: Diffusion Equations
by 茅耀元 
第11週
11/28  Chap 18: The Diffusion Equation and Pattern Formation by 梁哲銘
 
第12週
12/5  Chap 24: Fast and Slow by 曾之拓; Chap 13 by 林庭安 
第13週
12/12  Chap 22: Traveling Wave Velocities by 許天耀 ;Chap 17: Separation of Variables by 王瀚漳 
第14週
12/19  Chap 20: Nonlinear Stability Revisited by 萬本立;Chap 12 by 黃意鈞 
第15週
12/26  Chap 10 by 徐健翔;
Chap ? by 莊凱能 
第17週
1/09  Chap 27 by 孫世鐸