一、課程說明(Course Description)
<br>Instructor:	Liu, Cheng-Hsien(劉承賢)	chhsliu@mx.nthu.edu.tw
<br>Office:        	Room 517, Engineering Building #1
<br>Phone:        	(03) 5715131 ext.33706
<br>Course Web site: http://mx.nthu.edu.tw/~chhsliu/linear/PME3210_Liu.html
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<br>本課程為一新的課程，企圖跨越整合線性代數理論及線性動態系統分析的教學，目的在針對大學部大二及大三學生，介紹矩陣的運算、瞭解矩陣及向量的物理直觀內涵、運用線性代數理論以分析動態系統。本課程所強調的主題介紹將極有助於提供諸如電路分析、訊號處理、通訊系統、控制系統、機器人學、影像處理、機器視覺、系統振動分析等領域的數學基礎及物理掌握與瞭解。下圖為目前動力機械系後續應用之相關課程例舉-(請見http://mx.nthu.edu.tw/~chhsliu/linear/PME3210_Liu.html）
<br>(The goals of the course are to introduce undergraduate to use/ manipulate matrices, understand/get physical intuition of matrices and apply linear algebra to synthesize linear dynamical systems. The emphasizing topics in this course are useful in other disciplines, including circuitry analysis, signal processing, communication, control systems, Robotics, networks, image display, system dynamics and vibration.)
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<br>註：大四同學對系統控制有興趣的且修過控制一的同學，若線性代數與系統分析與控制二有衝堂時，建議優先選修控制二
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<br>二、指定用書(Text Books)
<br>*Textbook: 
<br>- My class notes 
<br>- Introduction to Linear Algebra 3rd Edition by Gilbert Strang, Wellesley-Cambridge Press (March 2003).
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<br>*Reference for Linear Algebra Practice Problem Set- 電機線代(高點)
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<br> 三、參考書籍(References)
<br>oWeb reference from MIT OpenCourseWare site regarding linear algebra part by using Strang’s book for our course:
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<br>-http://ocw.mit.edu/OcwWeb/Mathematics/18-06Linear-AlgebraFall2002/CourseHome/index.htm 
<br>-http://www.twocw.net/mit/Mathematics/18-06Linear-AlgebraFall2002/CourseHome/ (in Chinese)
<br>-http://web.mit.edu/18.06/www/ (update course website)
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<br>四、教學方式(Teaching Method)
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<br>以黑板/PowerPoint及口授方式進行
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<br> 五、教學進度(Topics included in this course(tentative syllabus))
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<br>本課程討論線性代數理論及線性動態系統分析, 內容含(暫訂):
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<br>Topics/Reading- Lecture
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<br>Introduction to this course and Dynamic Systems/Reader Ch. 1- 09/10
<br>Modeling of Dynamic Systems/Reader Ch. 2- 09/12, 09/17, 09/19
<br>State-Space Modeling and Simulation via Matlab/Simulink/Reader Ch. 3- 09/26(Quiz1), 10/1
<br>Matlab/Simulink(Competition ProjectDue: 11/7)Class room at Room 434/Reader Ch. 3,Matlab notes, Simulink notes, My Lecture ppt Presentation Note-10/3, 10/8, 10/15(Quiz2)
<br>The Geometry of Linear Equations/ GS.Ch1.1-2.1- 10/17
<br>Elimination with Matrices/GS.Ch 2.2-2.3,Ref. pp-2-26~2-38- 10/22
<br>Matrix Operations and Inverses/GS.Ch 2.4-2.5,Ref. pp-2-1~2-25, Ref. pp2-39~2-66- 10/22, 10/24
<br>LU and LDU Factorization/GS.Ch 2.6,Ref. pp-2-67~2-79-	10/29(Quiz3)
<br>Transposes and Permutations/GS.Ch 2.7- 10/29
<br>Vector Spaces and Subspaces/GS.Ch 3.1,Ref. pp5-1~5-39	- 10/31
<br>The Nullspace: Solving Ax = 0/GS.Ch 3.2- 11/5(Quiz4)
<br>Rectangular PA = LU and Ax = b/GS.Ch 3.3~3.4,Ref. pp5-40~5-56-	11/5
<br>Basis and Dimension/GS.Ch 3.5, Ref. pp5-40~5-56- 11/7
<br>The Four Fundamental Subspaces/GS.Ch 3.6- 11/12(Quiz5)
<br>Orthogonality/GS.Ch 4.1- 11/19
<br>Projections and Subspaces/GS.Ch 4.2,Ref. pp 1-26- 11/19
<br>Least Squares Approximations/GS.Ch 4.3-11/21
<br>Gram-Schmidt and A = QR/GS.Ch 4.4- 11/26(Quiz6)
<br>Determinants/GS.Ch 5.1~5.3,Ref. pp3-1~3-27,Ref. pp3-35~3-69-11/28, 12/3
<br>Eigenvalues and Eigenvectors/GS.Ch 6.1,Ref. pp7-1~7-77,Ref. pp7-87~7-91	- 12/5, 12/10
<br>Diagonalization/GS.Ch 6.2,Ref. Pp8-1~8-79- 12/12(Quiz7)
<br>Differential Equations/GS.Ch 6.3,Ref. pp8-80~8-102- 12/17
<br>Symmetric Matrices/GS.Ch 6.4- 12/19(Quiz8)
<br>Singular Value Decomposition/GS.Ch 6.7- 12/24
<br>Pseudoinverse/GS.Ch 7.4- 12/26
<br>Competition Project Demo (Tentative)- 12/31, 01/02
<br>Final Exam -01/07
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<br> 六、成績考核(Evaluation)
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<br>- Quiz:  8*5=40%  
<br>- Competition Project :  5%+10%+20% 
<br>- Final exam:  30% 
<br>- Policy for Exam Cheating/Project Copy- Exam cheating/Project Copy will make you fail for this class.
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<br> 七、可連結之網頁位址
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<br>http://mx.nthu.edu.tw/~chhsliu/linear/PME3210_Liu.html
<br>(available now)
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