課程名稱 |
工程數學一 Engineering Mathematics (Ⅰ) |
開課學期 |
111-1 |
授課對象 |
生物資源暨農學院 生物環境系統工程學系 |
授課教師 |
王昱力 |
課號 |
BSE2003 |
課程識別碼 |
602 20310 |
班次 |
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學分 |
3.0 |
全/半年 |
半年 |
必/選修 |
必帶 |
上課時間 |
星期三2,3,4(9:10~12:10) |
上課地點 |
農工繪圖室 |
備註 |
限生農學院學生(含輔系、雙修生) 總人數上限:57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 |
課程大綱
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課程概述 |
This course is an introduction to the methods of mathematical physics used in the environmental and hydrologic sciences. It is presented in the context of basic mathematical methods and their application in the environmental and hydrologic contexts. The lecture introduces ordinary differential equations (ODEs) and vectors. Both analytical and numerical methods of solution of differential equations are introduced.
Analytical solutions
1. First-order ODEs
2. Second-order Linear ODEs
3. Higher Order Linear ODEs
4. System of ODEs (Eigenvalue Problems for Systems of ODEs)
Series Solutions
5. Series Solutions of ODEs (Special Functions)
Transforms
6. Laplace Transforms
Some of the contents in the below chapters are merged into chapters 1 to 6
Linear algebra
7. Matrices, Vectors, Determinants, Linear system
8. Eigenvalue and Eigenvectors
9. Vector differential and integral calculus (Optinal)
Numerical methods
20. Numeric Linear Algebra (20.6 – 20.8)
21. Numerics for ODEs (21.1 – 21.3)
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課程目標 |
主要介紹在物理與工程領域中常用數學方程的解析方法與應用。
培養學生解讀與處理其專業領域數學方程的能力。 |
課程要求 |
大一微積分 |
預期每週課後學習時數 |
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Office Hours |
另約時間 |
指定閱讀 |
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參考書目 |
Erwin Kreyszig, Advanced Engineering Mathematics, Tenth Edition, Wiley |
評量方式 (僅供參考) |
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