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課程名稱 |
應用數學一
Applied Mathematics (Ⅰ) |
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開課學期 |
108-2 |
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授課對象 |
理學院 物理學系 |
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授課教師 |
黃宇廷 |
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課號 |
Phys2001 |
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課程識別碼 |
202 20310 |
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班次 |
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學分 |
3.0 |
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全/半年 |
半年 |
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必/選修 |
必帶 |
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上課時間 |
星期二8,9,10(15:30~18:20) |
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上課地點 |
新物111 |
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備註 |
限本系所學生(含輔系、雙修生)
總人數上限：80人
外系人數限制：2人 |
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Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/1082Phys2001_ |
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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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為確保您我的權利,請尊重智慧財產權及不得非法影印
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課程概述 |
The content of this course will be mainly based on Gilbert Strang's ``Linear Algebra and its Applications", but with significant extra materials. The course will be recorded so that everyone can have easy access to the content of the course. |
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課程目標 |
This course will focus on the basics and application of linear algebra. |
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課程要求 |
No attendance is required, 1 mid term and 1 finals
There will be HW that will not be graded, but at least 60% the mid term and finals will be based on the HWs.
Due to the tight schedule we might have make up classes. There's no attendance for make up classes as well, and the class will be recorded and posted on line as usual. |
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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 |
待補 |
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參考書目 |
Linear Algebra and its Applications Fourth Edition Gilbert Strang |
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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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第1週 |
3/03 |
Matrix equations as geometry of linear spaces, determinants and inverse matrix |
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第2週 |
3/10 |
Gauss elimination, triangular decomposition and inverse matrix |
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第3週 |
3/17 |
Differential equations and rotations as linear operations |
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第4週 |
3/24 |
Rotation matrices and the rotation group, generators, representations and group theory |
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第5週 |
3/31 |
Vector spaces and subspaces, graphs and networks |
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第6週 |
4/07 |
Orthogonality, vector basis, projection and orthogonal functions |
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第7週 |
4/14 |
Projective spaces and convex polytopes |
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第8週 |
4/21 |
TA discussion |
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第9週 |
4/28 |
MidTerm |
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第12週 |
5/19 |
Convex hulls and leaner programing |
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第13週 |
5/26 |
Eigenvalues and Eigenvectors |
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第14週 |
6/02 |
Similarity transformations |
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第15週 |
6/09 |
Positive definite matrices, extermality, saddle points, game theory |
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