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課程名稱 |
線性代數與應用
LINEAR ALGEBRA AND ITS APPLICATIONS |
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開課學期 |
97-1 |
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授課對象 |
工學院 機械工程學系 |
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授課教師 |
陳正剛 |
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課號 |
IE5034 |
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課程識別碼 |
546 U6040 |
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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 |
選修 |
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上課時間 |
星期二2,3,4(9:10~12:10) |
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上課地點 |
普404 |
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備註 |
機械系大學部學生選修不計入系選修學分。研究生優先
限學士班四年級以上 或 限碩士班以上
總人數上限：60人
外系人數限制：50人 |
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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 |
一、課程簡介:
1. Introduction - Importance of Linear Algebra
2. Ax=b , Matrix, Gaussian Elimination and Application
3. Vector Spaces and Linear Equation
4. Applications: Graphs and Networks
5. Orthogonality and Least Squares
6. Applications: Multiple Regression
7. Determinant and its Applications
8. Eigenvalues and Eigenvectors
9. Applications: Principe Component Analysis
10. Positive Definite Matrices
11. Applications: Minimum and Minimax Principles
12. Singular Value Decomposition and its Applications
13. Linear Inequalities and Linear Programming
14. Karmarkar Method
15. Simplex Method, Game Theory and the Minimax Theorem (if time allowed)
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課程目標 |
Linear algebra is not only the most useful mathematical tool but also an exciting subject that is full of surprises. To be able to appreciate its beauty and actually use it in practice is the goal of this class. |
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課程要求 |
先修課程: 微積分
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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 |
Gilbert Strang, Linear Algebra and Its Applications, Thomson
(歐亞Tel: 02-8912-1188) |
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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 |
30% |
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2. |
期末考 |
30% |
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3. |
作業 |
15% |
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4. |
期末報告 |
25% |
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