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課程名稱 |
微積分甲下
Calculus (general Mathematics) (a)(2) |
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開課學期 |
102-2 |
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授課對象 |
數學系 |
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授課教師 |
陳榮凱 |
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課號 |
MATH1202 |
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課程識別碼 |
201 101A2 |
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班次 |
06 |
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學分 |
4 |
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全/半年 |
全年 |
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必/選修 |
必帶 |
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上課時間 |
星期二5,6(12:20~14:10)星期四5,6,9(12:20~17:20) |
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上課地點 |
新103新103 |
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備註 |
四9為實習課。
限本系所學生(含輔系、雙修生)
總人數上限：80人 |
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Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/1022CA2 |
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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 |
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課程大綱
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課程概述 |
We will introduce basic concepts and notions in mathematical analysis. |
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課程目標 |
The course of this semester will focus on multivariate calculus, including the geometry and techniques. |
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課程要求 |
N/A |
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預期每週課後學習時數 |
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Office Hours |
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指定閱讀 |
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參考書目 |
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評量方式
(僅供參考) |
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週次 |
日期 |
單元主題 |
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Week 1 |
2/18,2/20 |
Point set in the plane and in space, continuity of multivarible functions (Section 1.1-1.3) |
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Week 2 |
2/25,2/27 |
Partial derivatives and its geometric meaning (Section 1.4, 1.5) |
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Week 3 |
3/04,3/06 |
Chain Rules, Mean Value Theorem, and Taylor's Theorem. Integrals of a function depending on a parameter (Section 1.6, 1.7, 1.8) |
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Week 4 |
3/11,3/13 |
Line Integrals and differential forms (Section 1.9, 1.10) |
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Week 5 |
3/18,3/20 |
Implicit function Theorem, curves and surfaces in explicit forms (Section 3.1, 3.2) |
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Week 6 |
3/25, 3/27 |
Maxima and minima, Lagrange multiplier, Hessian matrix (Section 3.7, A.1) |
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Week 7 |
4/01,4/03 |
Double integrals |
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Week 8 |
4/08,4/10 |
Reduction and transformation of multiple integrals |
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