|
課程名稱 |
數學在醫工上之應用上
Mathematics for Biomedical Engineering (1) |
|
開課學期 |
107-1 |
|
授課對象 |
工學院 醫學工程學研究所 |
|
授課教師 |
黃義侑 |
|
課號 |
DBME7031 |
|
課程識別碼 |
528 M0551 |
|
班次 |
|
|
學分 |
3.0 |
|
全/半年 |
全年 |
|
必/選修 |
必修 |
|
上課時間 |
星期一2,3,4(9:10~12:10) |
|
上課地點 |
|
|
備註 |
本課程中文授課,使用英文教科書。教室：基醫505
限博士班
總人數上限：30人 |
|
Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/1071DBME7031_ |
|
課程簡介影片 |
|
|
核心能力關聯 |
核心能力與課程規劃關聯圖 |
|
課程大綱
|
|
為確保您我的權利,請尊重智慧財產權及不得非法影印
|
|
課程概述 |
A major challenge in biomedical engineering is the immense scope of biomedically relevant problems, which range from the molecular scale to the macroscopic scale. Bioengineering problems can be effectively treated through the use of the modeling techniques and mathematical tools. Therefore, mathematics is the basic requirement in biomedical engineering.
課程內容包括：
1. Chap. 0: Review of calculus and mathematical modeling.
2. Chap. 1: First order differential equations
3. Chap. 2: Linear second order differential equations
4. Chap. 3: The Laplace transform
5. Chap. 4: Series solution of ODE.
6. Chap. 6: Vectors and Vector space.
二、先修課程:微積分
三、參考書目:
1. O’Neil “Advanced Engineering Mathematics” 8th ed. 2017 |
|
課程目標 |
This course is to provide a quantitative understanding of the biological, chemical, and physical phenomena that determine the characteristics of biomedical science systems and to provide a framework for the analysis and interpretation of experimental data observed in the study of biomedical science and biomedical engineering systems. |
|
課程要求 |
familiar with calculus. |
|
預期每週課後學習時數 |
|
|
Office Hours |
另約時間 |
|
指定閱讀 |
Peter V.O'Neil"Advanced Engineering Mathematics"8th ed. 2017 |
|
參考書目 |
1.Intermediate Physics for medicine and biology. 1997QT34 H682i
2.Numerical method in biomedical eng. 2006
3.computer method in biomechanics and biomedical engineering. 1994 WE103
4.Numerical and statistical methods for bioengineering : applications in MATLAB /
Michael R. King, Nipa A. Mody 2011. |
|
評量方式
(僅供參考) |
|
No. |
項目 |
百分比 |
說明 |
|
1. |
Quiz1 |
30% |
|
2. |
Quiz2 |
30% |
|
3. |
Quiz3 |
30% |
|
4. |
平時成績 |
10% |
|
|
|
週次 |
日期 |
單元主題 |
|
第1週 |
9/10 |
Review of Calculus
(核心能力：2,4,7) |
|
第2週 |
9/17 |
First-Order Differential
Equations-Separable ODE
(核心能力：2,4,6,7) |
|
第3週 |
9/24 |
First-Order Differential
Equations-Linear ODE and Exact ODE
(核心能力：2,3,4,7) |
|
第4週 |
10/01 |
First-Order Differential
Exact ODE
(核心能力：1,2,4,6) |
|
第5週 |
10/08 |
Homogeneous and Bernoulli Differential Equations
(核心能力：1,2,4,7) |
|
第6週 |
10/15 |
Riccati Equations and the applications of First ODE
(核心能力：2,4,6) |
|
第7週 |
10/22 |
Ch2 Linear Second-Order Differential Equations
(核心能力：2,4,7) |
|
第8週 |
10/29 |
Ch2 Linear Second Order Diff. Equa.-Variations of parameters
(核心能力：1,2,4) |
|
第9週 |
11/05 |
Ch2 Linear Second Order Diff. Equa.-Applications
(核心能力：2,4,6) |
|
第10週 |
11/12 |
Mid-Trem Quiz- Chap1-2
(核心能力：1,4,7) |
|
第11週 |
11/19 |
Ch3 The Laplace Transform- Introduction |
|
第12週 |
11/26 |
Ch3 The Laplace Transform- Derivatives |
|
第13週 |
12/03 |
Ch3 The Laplace Transform- Heaviside Function |
|
第14週 |
12/10 |
Ch3 The Laplace Transform- Convolution and System of equations |
|
第15週 |
12/17 |
Ch.4 Power Series solution of ODE |
|
第16週 |
12/24 |
Quiz 2 Ch.1 & Ch.2 |
|
第17週 |
12/31 |
Ch.6 Vectors |
|
第18週 |
2019/01/07 |
期末考 |
|