國立暨南國際大學

學年

學期

開課號

課號

課程名稱

英文課名

學院

開課系所

班級

任課教師

學分

授課時數

授課類型

課程類別

修別

排課時間

排課地點

全英語授課

任課教師電子郵件信箱

核心能力

職涯類別

教學內涵

程式設計

性別平等

品德教育

人權教育

永續環境

一、課程目標Course objectives

此門課以中文授課。
線性代數是每一個現代 AI 系統底層運作的無聲引擎，它是書寫 AI 的語言。一位深刻理解向量、矩陣變換、特徵值與奇異值分解的學生，不僅僅擁有數學上的準備，他們擁有的是得以閱讀、設計並深入思考那些正在重塑世界之系統的概念語彙。
Linear algebra is the silent engine beneath every modern AI system. It is the language in which AI is written. A student who deeply understands vectors, matrix transformations, eigenvalues, and the SVD does not just have mathematical preparation, they have the conceptual vocabulary to read, design, and reason about the systems reshaping the world.
1.	Students will explain the core objects of linear algebra — vectors, matrices, subspaces, and linear maps  using precise mathematical language and correct geometric intuition.
2.	Students will execute the fundamental algorithms (Gaussian elimination, LU/QR/SVD decompositions, Gram-Schmidt) correctly by hand and interpret each step mechanically and geometrically.
3.	Students will determine the structure of solution sets for Ax = b by computing rank, identifying pivot and free variables, and characterizing the four fundamental subspaces of any matrix.
4.	Students will compute eigenvalues, eigenvectors, and singular values, and use these to diagonalize or decompose matrices in forms suited to the problem at hand.
5.	Students will analyze real-world problems including least-squares regression, principal component analysis, Markov chains, and network models by formulating them as linear algebra problems and interpreting their solutions.

二、師生晤談時間及地點Instructor office hours

時間

Monday 10:30-12:30 pm

地點

College of Management 5066

電話

049-2910960-4639

三、授課方式Teaching approach

1.課內授課 Lecturing
2.課堂討論 Class discussion
3.書面報告、作業 Projects and Cases
4.課外閱讀 Assigned Readings

四、評量方式Grading criteria:

1. Class participation: 15%  		            
2. Writing assignments and quizzes: 25%
3. Mid-term or Presentation: 30%
4. Final Exam or Final Project Presentation: 30%

五、參考書目Textbook & references:

六、教學進度Course schedule

七、彈性教學

NA

八、TA協助事項Teaching Assistant tasks

Assignment practices, scoring assignments and quizzes.

九、備註Remarks

十、本課程可培養學生之核心能力與教學活動、核心能力與評量方法之對應表

培養學生資訊技術應用與創新能力(學士班)之教學活動: 課堂討論、書面報告、學生口頭報告、課外閱讀
培養學生管理決策能力之教學活動: 課堂討論、作業、實驗、學生口頭報告

◎請同學們遵守智慧財產權及不得不法影印。
Course participants should respect intellectual property rights. Illegal copying of copyrighted course materials is strictly prohibited.
◎請任課教師在教學過程中適當引導學生使用正版教科書，並適時提醒或制止學生使用非法影印教科書，或通報學校予以輔導。
Instructors should ensure that students purchase licensed textbooks and preventstudents from using illegally copied texts.

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