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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 |
98-1 |
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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 |
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. Application: Linear Programming and Karmarkar Method (if time allowed)
8. Determinant and its Applications
9. Eigenvalues and Eigenvectors
10. Ak and Difference Equations
11. eA and Differential Equations
12. Similarity Transformation and Spectral Theorem
13. Positive Definite Matrices and Minimum Principles
14. Applications: Multivariate Analysis and Principal Component Analysis
15. Singular Value Decomposition and its Applications
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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.
(83dc) The subject is clean and beautiful
-A mathematician’s statement?
-Linear algebra is one of very few mathematical subjects that can really make you feel that way
-This is exactly one of this class’s goals: tell you something exciting and beautiful.
(83dc) The subject is needed and used
-The subject has been taught too abstractly.
-Crucial importance of the subject was often missed
-An essential sophomore course but not really appreciated
-We are here trying to pick up this subject again and hopefully this time we can have different perspectives not only on this subject but also on any subject that uses linear algebra.
(83dc) Less on rigor and much more on understanding.
-Explain rather than deduce
-Ideas come with examples
-Ability to reason mathematically will naturally develop
-It moves simply and naturally from a line or a plane to the n-dimensional space. That step is mathematics at its best and every one of you should be able to take it.
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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. |
期末報告 |
25% |
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2. |
作業 |
15% |
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3. |
期末考 |
30% |
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4. |
期中考 |
30% |
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