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課程名稱 |
線性代數
Linear Algebra |
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開課學期 |
107-1 |
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授課對象 |
資訊工程學系 |
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授課教師 |
李明穗 |
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課號 |
CSIE2120 |
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課程識別碼 |
902 25040 |
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班次 |
02 |
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學分 |
3.0 |
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全/半年 |
半年 |
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必/選修 |
必帶 |
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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 |
資102 |
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備註 |
限學號雙號 且 限本系所學生(含輔系、雙修生) 且 限學士班二年級以上
總人數上限：98人 |
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Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/1071_LA |
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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 |
I. MATRICES AND GAUSSIAN ELIMINATION
II. VECTOR SPACE AND LINEAR EQUATIONS
III. ORTHOGONALITY
IV. DETERMINANTS
V. EIGENVALUES AND EIGENVECTORS
VI. POSITIVE DEFINITE MATRICES
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課程目標 |
Let students be familiar with basic concepts and fundamental theories of Linear Algebra as well as its applications. |
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課程要求 |
Homework: 30%
Midterm Exams: 40%
Final Exam: 30% |
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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 |
Linear Algebra and Its Applications, Gilbert Strang, 4th Edition |
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參考書目 |
(1) Linear Algebra, A Geometric Approach, T. Shifrin and M. R. Adams
(2) Linear Algebra, S. H. Friedberg, A. J. Insel, and L. E. Spence, 4th edition
(3) Linear Algebra, K. Hoffman and R. Kunze, 2nd edition
(4) Linear Algebra, Fraleigh Beauregard
(5) Introduction to Linear Algebra, Gilbert Strang |
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評量方式
(僅供參考) |
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週次 |
日期 |
單元主題 |
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第1週 |
9/11 |
INTRODUCTION
THE GEOMETRY OF LINEAR EQUATIONS |
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第2週 |
9/18 |
AN EXAMPLE OF GAUSSIAN ELIMINATION
MATRIX NOTATION AND MATRIX MULTIPLICATION |
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第3週 |
9/25 |
TRIANGULAR FACTORS AND ROW EXCHANGES
INVERSES AND TRANSPOSES |
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第4週 |
10/02 |
VECTOR SPACE AND SUBSPACES |
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第5週 |
10/09 |
THE SOLUTION OF m EQUATIONS IN n UNKNOWNS |
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第6週 |
10/16 |
LINEAR INDEPENDENCE, BASIS AND DIMENSION
THE FOUR FUNDAMENTAL SUBSPACES |
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第7週 |
10/23 |
MIDTERM I |
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第8週 |
10/30 |
LINEAR TRANSFORMATION |
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第9週 |
11/06 |
ORTHOGONALITY
PERPENDICULAR VECTORS AND ORTHOGONAL SUBSPACES |
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第10週 |
11/13 |
INNER PRODUCT AND PROJECTIONS ONTO LINES
PROJECTIONS AND LEAST SQUARES APPROXIMATION |
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第11週 |
11/20 |
ORTHOGONAL BASES, ORTHOGONAL MATRICES AND GRAM-SCHMIDT ORTHOGONALIZATION |
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第12週 |
11/27 |
DETERMINANT
INTRODUCTION AND THE PROPERTIES OF THE DETERMINANT |
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第13週 |
12/04 |
MIDTERM II |
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第14週 |
12/11 |
INTRODUCTION OF EIGENVALUES AND EIGENVECTORS
FORMULAS FOR THE DETERMINANT |
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第15週 |
12/18 |
DIAGONALIZATION OF A MATRIX |
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第16週 |
12/25 |
DIFFERENCE EQUATIONS AND POWERS A^k
SINGULAR VALUE DECOMPOSITION |
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第17週 |
01 |
開國紀念日 |
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