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課程名稱 |
線性代數一
Linear Algebra (Ⅰ) |
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開課學期 |
103-1 |
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授課對象 |
理學院 數學系 |
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授課教師 |
朱 樺 |
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課號 |
MATH1101 |
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課程識別碼 |
201 14410 |
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班次 |
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學分 |
3 |
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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 |
星期三3,4(10:20~12:10)星期五3,4(10:20~12:10) |
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上課地點 |
新303新303 |
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備註 |
教學改善計畫課程配有教學助理實施(小班輔導)上課時段:五4。
總人數上限：120人 |
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Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/1031MATH1101_LinAlg1 |
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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 |
Vector spaces,
linear transformations,
matrices,
systems of linear equations,
determinants,
diagonalization,
Inner product spaces,
canonical forms. |
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課程目標 |
The primary purpose of this course is to present a careful treatment of the principal topics of linear
algebra and to illustrate the power of the subject through a variety of applications. |
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課程要求 |
待補 |
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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 |
Stephen H. Friedberg,Arnold J. Insel and Lawrence E, Spence, Linear Algebra, 4rd edition |
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評量方式
(僅供參考) |
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No. |
項目 |
百分比 |
說明 |
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1. |
期中考 |
35% |
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2. |
期末考 |
35% |
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3. |
平時成績 |
30% |
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週次 |
日期 |
單元主題 |
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第1週 |
9/17,9/19 |
Appendix C Fields, 1.2 Vector Spaces. |
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第2週 |
9/24,9/26 |
1.3 Subspaces, 1.4 Linear Combinations and Systems of Linear Equations |
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第3週 |
10/01,10/03 |
1.5 Linear Dependence and Linear Independence |
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第4週 |
10/08,10/10 |
1.6 Bases and Dimension, 1.7 Maximal Linearly Independent Subsets |
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第5週 |
10/15,10/17 |
2.1 Linear Transformations, Null Spaces, and Ranges |
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第6週 |
10/22,10/24 |
2.2 The Matrix Representation of a Linear Transformation, 2.3 Composition of Linear Transformations and Matrix Multiplication |
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第7週 |
10/29,10/31 |
2.4 Invertibility and Isomorphisms |
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第8週 |
11/05,11/07 |
2.5 The Change of Coordinate Matrix, 2.6 Dual Spaces |
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第9週 |
11/12,11/14 |
2.7 Homogeneous Linear Differential Equations with Constant Coefficients |
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第10週 |
11/19,11/21 |
3.1 Elementary Matrix Operations and Elementary Matrices |
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第11週 |
11/26,11/28 |
3.2 The Rank of a Matrix and Matrix Inverses |
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第12週 |
12/03,12/05 |
3.3 Systems of Linear Equations-Theoretical Aspects |
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第13週 |
12/10,12/12 |
3.4 Systems of Linear Equations-Computational Aspects |
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第14週 |
12/17,12/19 |
4.1 Determinants of Order 2 |
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第15週 |
12/24,12/26 |
4.2 Determinants of Order n |
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第16週 |
12/31,1/02 |
4.3 Properties of Determinants |
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第17週 |
1/07,1/09 |
4.4 Summary-Important Facts about Determinants, 4.5 A Characterization of the Determinants |
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