| 課程編碼 Course Code | 中文課程名稱 Course Name (Chinese) | 英文課程名稱 Course Name (English) | 總學分數 Credits | 總時數 Hours |
|---|---|---|---|---|
| 4505006 | 高等工程數學 | Advanced Engineering Mathematics | 3.0 | 3 |
| 中文概述 Chinese Description | 本課程的主要目的是教授學生有關於高等工數學在冷凍空調與熱流領域的應用，講授內容包括：(1)多重向量，(2)傅立葉轉換，(3)複變函數，(4)向量積分：高斯法則、史托克斯法則與萊布尼茲定律的應用，(5)偏微分方程式解析法：分離變數法、重疊法、複變組合法、拉普拉斯法，(6)變分學，(7)微擾法，(8)偏微分方程式數值解法：基本有限差分與有限元素法。 | |||
| 英文概述 English Description | The primary objective of this course is to give graduate students the lectures related to the application of advanced engineering mathematics on the fields of HVAC and thermofluids. The content includes (1)tensor, (2)Fourier transforms, (3)complex variables, (4)vector integral: the application of Gauss's theorem、 Stokes's theorem and Leibnitz theorem, (5)the analystical methods of partial differential equations: separation of variables、 superposition、 complex combination、 Laplace transforms, (6)variational calculus, (7)perturbation methods, (8)numerial solutions of partial differential equations: fundamentals of finite difference and finite element methods. | |||
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