| 課程名稱 |
(中文) 工程數學(二) (英文) Engineering Mathematics |
開課單位 | 化學工程學系 | ||
| 課程代碼 | G2012B | ||||
| 授課教師 | 陳泰祥 | ||||
| 學分數 | 3.0 | 必/選修 | 選修 | 開課年級 | 大二 |
| 先修科目或先備能力：微積分, 工程數學(一) | |||||
| 課程概述與目標：本課程學習在化學工程專業課程中處理與解決工程相關數學問題所需的知識與能力。提供同學在學習微積分後繼續在數學與工程應用上有進一步了解，目標為學習以數學為工具，與工程問題相結合並培養模式建立、假設、求解與分析能力。 本課程2學期共6學分，第二學期主要為偏微分方程式部分。課程內容包括：Fourier 級數及 transform 與其應用；偏微分方程式解；應用問題。 同學修習此課程後，對化工後續專業課程如輸送現象與單元操作、化工熱力學、化學反應工程、程序控制等課程及進階研究所需之數學解決能力，可以獲得足夠支持。 | |||||
| 教科書 | Advanced Engineering Mathematics, Peter V. Oneil, Brooks / Cole. 8th ed. (國際版，不是台灣客製版) | ||||
| 參考教材 | |||||
| 課程大綱 | 學生學習目標 | 單元學習活動 | 學習成效評量 | 備註 | ||
| 週 | 單元主題 | 內容綱要 | ||||
| 1 | ODE REVIEW | ODE REVIEW | 複習常微分方程式，尤其是二階常係數線性常微分方程式。 |
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| 2 | Sturm-Liouville Problem and Special functions | Sturm-Liouville Problem and Special functions | 學習Sturm-Liouville Problem and Special functions |
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| 3 | Fourier Series | Fourier Series | Fourier Series |
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| 4 | Fourier Series | Fourier Series | Fourier Series: cosine and sine series |
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平時考，20% |
| 5 | Heat Equation | Heat Equation | Heat Equation: ut=kuxx, both ends zero |
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| 6 | Heat Equation | Heat Equation | Heat Equation: ut=kuxx, other boundary conditions |
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| 7 | Heat Equation | Heat Equation | Heat Equation: steady state, 1D, 2D and 3D |
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| 8 | Review | Review | Review |
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| 9 | 期中考周 | 期中考 | 期中筆試 |
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期中考，20% | |
| 10 | Wave equation | Wave equation | Wave equation |
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| 11 | Wave equation | Wave equation | Wave equation |
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| 12 | Transform method for PDE | Laplace Transform for PDE | Laplace Transform for PDE |
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| 13 | Transform method for PDE | Fourier Transform for PDE | Fourier Transform for PDE |
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| 14 | PDE Application in Chemical Engineering | PDE Application in Chemical Engineering | PDE Application in Chemical Engineering |
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平時考，20% |
| 15 | PDE Application in Chemical Engineering | PDE Application in Chemical Engineering | PDE Application in Chemical Engineering |
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| 16 | PDE Application in Chemical Engineering | PDE Application in Chemical Engineering | PDE Application in Chemical Engineering |
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| 17 | Review | Review | Review |
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| 18 | 期末考 | 期末考 | 期末考 |
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期末考，20% | |
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教學要點概述： |