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課程名稱 |
工程數學上
Advanced Engineering Mathematics(1) |
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開課學期 |
111-1 |
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授課對象 |
工學院 醫學工程學系 |
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授課教師 |
黃義侑 |
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課號 |
DBME2004 |
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課程識別碼 |
508 20101 |
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班次 |
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學分 |
3.0 |
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全/半年 |
全年 |
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必/選修 |
必帶 |
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上課時間 |
星期三7,8,9(14:20~17:20) |
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上課地點 |
基醫507 |
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備註 |
本課程中文授課,使用英文教科書。
限本系所學生(含輔系、雙修生)
總人數上限：25人 |
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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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為確保您我的權利,請尊重智慧財產權及不得非法影印
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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. 5: Vectors and Vector space.
二、先修課程:微積分
三、參考書目:
Peter V. O’Neil “Advanced Engineering Mathematics” 8th ed. 2018 |
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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 |
familiar with calculus. |
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預期每週課後學習時數 |
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Office Hours |
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指定閱讀 |
Peter V. O’Neil “Advanced Engineering Mathematics” 8th ed. 2018 |
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參考書目 |
1. Numerical method in Biomedical Engineering. 2006.
2. Engineering Mathematics. Zill, Wright, J.J. Huang 2019 |
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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. |
平時上課 |
10% |
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2. |
期中考 |
40% |
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3. |
期末考 |
40% |
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4. |
作業成績 |
10% |
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針對學生困難提供學生調整方式 |
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上課形式 |
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作業繳交方式 |
延長作業繳交期限, 書面報告取代口頭報告 |
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考試形式 |
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其他 |
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週次 |
日期 |
單元主題 |
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第1週 |
9/7 |
Introduction
Chapter 1 First-Order Differential Equations |
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第2週 |
9/14 |
Lec-2 Linear ODE |
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第3週 |
9/21 |
Lec-3 Bernoulli Equation |
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第4週 |
9/28 |
Chapter 2 Second-Order Differential Equations
Lec-4 The 2nd Differential Eqs |
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第5週 |
10/5 |
Lec-5 The 2nd Differential Eqs |
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第6週 |
10/12 |
第一次期中考 |
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第7週 |
10/19 |
Chapter 3 The Laplace Transform |
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第8週 |
10/26 |
Chapter 3 The Laplace Transform |
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第9週 |
11/2 |
Chapter 3 The Laplace Transform
Chapter 4 Series Solutions
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第10週 |
11/9 |
Chapter 5 Vectors and the Vector Space Rn
第二次期中考 |
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第11週 |
11/16 |
Chapter 6 Matrices, Determinants, and Linear Systems
Chapter 7 Eigenvalues, Diagonalization, and Special Matrices |
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第12週 |
11/23 |
Chapter 6 Matrices, Determinants, and Linear Systems
Chapter 7 Eigenvalues, Diagonalization, and Special Matrices |
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第13週 |
11/30 |
Chapter 7 Eigenvalues, Diagonalization, and Special Matrices
Chapter 8 Systems of Linear Differential Equations |
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第14週 |
12/7 |
Chapter 8 Systems of Linear Differential Equations |
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第15週 |
12/14 |
Chapter 8 Systems of Linear Differential Equations |
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第16週 |
12/21 |
期末考 |
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