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課程名稱 |
數學在醫工上之應用上
MATHEMATICS FOR BIOMEDICAL ENGINEERING(1) |
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開課學期 |
99-1 |
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授課對象 |
工學院 醫學工程學研究所 |
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授課教師 |
黃義侑 |
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課號 |
Biomed7031 |
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課程識別碼 |
548 M0551 |
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班次 |
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學分 |
3 |
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全/半年 |
全年 |
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必/選修 |
選修 |
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上課時間 |
星期一2,3,4(9:10~12:10) |
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上課地點 |
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備註 |
本課程中文授課,使用英文教科書。本課程中文授課,使用英文教科書。教室：基醫503
總人數上限：30人 |
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Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/991Biomed7031 |
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課程簡介影片 |
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核心能力關聯 |
核心能力與課程規劃關聯圖 |
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課程大綱
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課程概述 |
一、課程簡介:
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. 15: Fourier analysis
二、先修課程:微積分
三、參考書目:
1. O’Neil “Advanced Engineering Mathematics” 6th ed. 2006. |
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課程目標 |
This course is intended to introduce students to some of the mathematics and mathematical modeling employed by biomedical engineers. |
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課程要求 |
先修微積分 |
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預期每週課後學習時數 |
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Office Hours |
另約時間 |
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指定閱讀 |
O’Neil “Advanced Engineering Mathematics” 6th ed. 2006. |
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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.Introduction to math in medical imaging 2003 RC78.7 D53 E676 |
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評量方式
(僅供參考) |
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No. |
項目 |
百分比 |
說明 |
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1. |
first mid term exam |
30% |
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2. |
second mid term exam |
35% |
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3. |
final exam |
35% |
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週次 |
日期 |
單元主題 |
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第1週 |
9/13 |
Review of Calculus and mathematical modeling |
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第2週 |
9/20 |
chap.1 First order differential equations |
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第3週 |
9/27 |
chap.1 First order differential equations |
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第4週 |
10/04 |
chap.1 First order differential equations
integrating factors |
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第5週 |
10/11 |
chap.1-6Bernoulli Equation |
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第6週 |
10/18 |
chap.2 Linear second order differential equations |
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第7週 |
10/25 |
first mid-term exam |
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第8週 |
11/01 |
chap.2 Second-Order Differential Equations |
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第9週 |
11/08 |
Chap.3 The laplace transform |
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第10週 |
11/15 |
chap.3 The laplace transform |
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第11週 |
11/22 |
chap.4 Series soltion |
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第12週 |
11/29 |
chap.4 Series soltion |
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第13週 |
12/06 |
chap.5 Numerical approximation of solutions |
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第14週 |
12/13 |
chap.5 Numerical approximation of solutions |
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第15週 |
12/20 |
chap. 14 Fourier serise |
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第16週 |
12/27 |
chap. 14 Fourier serise |
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第17週 |
1/03 |
Final exam |