| 國立中興大學教學大綱 |
| 課程名稱 | (中) 微積分(二)(1233) | ||||||||
| (Eng.) Calculus(II) | |||||||||
| 開課單位 | 應數系 | ||||||||
| 課程類別 | 必修 | 學分 | 4 | 授課教師 | 柯志斌 | ||||
| 選課單位 | 應數系 / 學士班 | 授課使用語言 | 中文 | 英文/EMI | N | 開課學期 | 1062 | ||
| 課程簡述 | 應數系的基本課程，探討各類函數（單或多變數的純量或向量函數）的微分與積分原理與應用。 | ||||||||
| 先修課程名稱 | 課程含自主學習 | N | |||||||
| 課程與核心能力關聯配比(%) | 課程目標之教學方法與評量方法 | |||||||||
| 課程目標 | 核心能力 | 配比(%) | 教學方法 | 評量方法 | ||||||
| 孰悉微積分的觀念，進而修習更高階的數學課程，再而解決未來所面臨科學或工程等方面的問題。 |
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| 授課內容(單元名稱與內容、習作/每週授課、考試進度-共18週) | ||||||||||
| Week Content Up to 1 Sequences 9.1; Series and Convergence 9.3 2 Alternating Series 9.4; Ratio and Root Tests 9.5 3 Taylor Polynomials 9.7; Power Series 9.8 4 Taylor Series 9.9; Conics 10.1 5 Parametric Equations & its Calculus 10.3; Polar Graphs & Area, Arc Length 10.5 6 Vectors in Plane 11.1; Spring Break 7 Spring Break; Vectors in Space (1st midterm) 11.2 8 Operations of Vector 11.5; Lines, Planes in Space 11.7 9 Vector Functions & its Calculus 12.2; Tangent , Normal Vectors 12.4 10 Vector Applications 12.5; Limit and Continuity of Type III Functions 13.2 11 Partial Derivatives 13.4; & Chain Rules 13.6 12 Directional Derivatives & Gradients 13.7; Tangent Planes & Normal Lines 13.8 13 Extrema and its Applications 13.9; Double Integrals (2nd midterm) 14.2 14 Change of Variables & its Applications 14.4; Triple Integrals 14.6 15 Jacobian 14.7; Vector Fields 15.1 16 Line Integral & Conservative Vector Fields 15.3; Green’s Theorem 15.4 17 Surface Integral 15.6; Divergence Theorem & Stokes’s Theorems 15.8 18 (Final Exam) |
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| 學習評量方式 | ||||||||||
| Attendance Quizzes 1st midterm 2nd midterm Final 10% 20% 20% 20% 30% |
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| 教科書＆參考書目(書名、作者、書局、代理商、說明) | ||||||||||
| Textbook: Larson, & Edwards, “Calculus,” 9/e. 2010 Houghton Mifflin, 歐亞 _____________________________________________________________________ References: 1. Colin Adams, Joel Hass, Abigail Thompson, “How to Ace the Rest of Calculus: The Streetwise Guide (微積分之倚天寶劍) ,” 天下文化 2. Daniel Fleisch, ”A Student’s Guide to Maxwell Equations(電磁學天堂秘笈).” 2010 天下文化 3. Michael Lewis, “Money Ball(魔球)” 游宜樺 譯 2011早安財經文化 |
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| 課程教材（教師個人網址請列在本校內之網址） | ||||||||||
| E-mail: jbke@nchu.edu.tw; jbke5201@gmail.com 1. website: http://www.youtube.com/education/ a. MIT; b. NCHU; c. UC Berkeley. d. 交大 2. Herbert Gross, "Calculus Revisited" http://ocw.mit.edu/resources/res-18-006-calculus-revisited-fall-2010/ 3. A. Cellphone App.: **CalcView; CalcChat. B. Computer: CalcView.com; CalcChat.com. |
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| 課程輔導時間 | ||||||||||
| 13:10 - 14:00 Tue. & Fri. | ||||||||||
| 聯合國全球永續發展目標 | ||||||||||
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| 請尊重智慧財產權及性別平等意識，不得非法影印他人著作。 | |
| 更新日期 西元年/月/日：無 | 列印日期 西元年/月/日：2024 / 10 / 23 |
| MyTB教科書訂購平台：http://www.mytb.com.tw/ | |