基本素養 Basic Literacy

培養兼具本土及國際宏觀之人才。

核心能力 Competence

思考分析,解決問題的能力
研究導向,探尋化學新知能力
增進外文能力
在團隊中達成有效溝通、合作領導之能力
有機化學能力
物理化學能力
分析化學能力
無機化學能力
化學實驗能力
化學生物能力
材料化學能力

課程概述 Course Description

以函數為基礎,配合微積分基本觀念與技巧,討論多項式、三角、指數、高斯等函數與這些函數所衍生函數的性質與行為,並配合討論其在應用上的物理性質,進而探討包括單變數與多變數函數的泰勒展開式技巧與應用,並討論常微分與偏微分方程式的解、邊界條件與函數的性質間的關連與應用。

課程學習目標 Course Objectives

引導學生以過去所學的學科,應用在奈米科學上

課程進度 Progress Description

進度說明 Progress Description
11. Functions (Ch. 2 – Ch. 3) a.polynomials b.trigonometrics c.exponentials
21. Functions (Ch. 2 – Ch. 3) a.polynomials b.trigonometrics c.exponentials
32. Differentiation and integration (Ch. 4 – Ch. 6)
42. Differentiation and integration (Ch. 4 – Ch. 6)
53. Taylor expansion of single-variable and multi-variable functions (Ch. 7 and Ch. 9)
63. Taylor expansion of single-variable and multi-variable functions (Ch. 7 and Ch. 9)
74. Ordinary differential equation of the first order (Ch. 11) a.separable equation b.exact differential c.integrating factors d.linear differential equations
84. Ordinary differential equation of the first order (Ch. 11) a.separable equation b.exact differential c.integrating factors d.linear differential equations
9期中考。5. Laplace Transform (Ch. 11 – Ch. 13)
105. Laplace Transform (Ch. 11 – Ch. 13)
116. Ordinary differential equation of the second order (Ch. 12 and Ch. 13) a.Homogeneous and constant coefficients b.Inhomogeneous and constant coefficients c.Homogeneous and non-constant coefficients d.Homogeneous and unknown coefficients
126. Ordinary differential equation of the second order (Ch. 12 and Ch. 13) a.Homogeneous and constant coefficients b.Inhomogeneous and constant coefficients c.Homogeneous and non-constant coefficients d.Homogeneous and unknown coefficients
137. Partial differential equations (Ch. 14) — The product method
147. Partial differential equations (Ch. 14) — The product method
158. Linear Algebra and Symmetry (Ch. 16 – Ch. 18)
168. Linear Algebra and Symmetry (Ch. 16 – Ch. 18)
179. Fourier Series (Ch. 15)
18期未考。9. Fourier Series (Ch. 15)
 以上每週進度教師可依上課情況做適度調整。The schedule may be subject to change.

課程學習融入下列議題或具有下列內涵的程度
Immersing the Following Issues or Contents

議題或內容 Issues or Contents關聯性 Correlation
觀光旅遊產業 Tourism 無相關 No correlation
綠色能源產業 Green Energy Industry 無相關 No correlation
文創產業 Cultural and creative Industry 無相關 No correlation
環境保護 Environmental Protection 無相關 No correlation
人權教育 Human Rights Education 無相關 No correlation
服務學習 Service Learning 無相關 No correlation
性別平等 Gender Equity 無相關 No correlation
法治教育 Law-Related Education 無相關 No correlation
工作實務取向 Pragmatic Orientation 無相關 No correlation
生命教育 Life Education 無相關 No correlation
智慧財產權 Intellectual Property 無相關 No correlation
環境安全 Environmental Safety 無相關 No correlation
健康醫療照護產業 Health,Medical Treatment, Nursing Industry 無相關 No correlation
精緻農業產業 Advanced Agriculture 無相關 No correlation
生物科技產業 Biotechnology Industry 無相關 No correlation
學術研究取向 Academic Orientation 無相關 No correlation

有關課程其他調查 Other Surveys of Courses

1.本課程是否規劃業界教師參與教學或演講? 否
Is there any industry specialist invited in this course? How many times? No
2.本課程是否規劃含校外實習(並非參訪)? 否
Are there any internships involved in the course? How many hours? No