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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 |
112-1 |
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授課對象 |
工學院 工業工程學研究所 |
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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 |
3.0 |
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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 |
星期二7,8,9(14:20~17:20) |
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上課地點 |
共301 |
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備註 |
限學士班四年級以上 或 限碩士班以上
總人數上限：150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 |
A drama series "Linear Algebra and Its Applications" directed by Argon Chen based on scripts adapted from the original novel by Prof. Gilbert Strang. The story is clean and beautiful. Though the story has been so often told, it's usually told too abstractly. "less on rigor and much more on understanding" is how Prof. Strang wishes to deliver the story and is also the way this drama series is directed. I attempt to tell the story in episodes. Each episode has its own storyline and climax. When it comes to the finale “Singular Value Decomposition”, the climax reaches its highest. |
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課程目標 |
Students should feel excited and touched by the following subjects:
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. A^k and Difference Equations
11. e^A 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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課程要求 |
Calculus |
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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 |
http://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/ |
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評量方式
(僅供參考) |
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